Answer:
Wc = 7.84 weight of crown
Ww = 7.84 - 6.86 = .98 weight of water displaced
Density = 7.84 / .98 = 8 crown is 8 X that of water
Since gold has a density of 19.3 that of water the crown is certainly not 100 percent (if any) gold
a charged capacitor stores 10 c at 40 v. its stored energy is:
The energy stored in the capacitor dus to 10C charge and 40V potential difference is 200 Joules.
Firstly we will need to calculate the capacitance of the capacitor. It will further help in calculation of stored energy. The formula to be used for each of the following is -
Q = CV and E = 1/2CV², where Q represents charge, E represents energy, C is capacitance and V is voltage.
Keep the values in formula -
C = 10/40
Performing division
C = 1/4
E = 1/2×1/4×40²
Taking square
E = 1/2×1/4×1600
Performing multiplication and division
E = 200 J
Hence, the stored energy is 200 Joules.
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Four forces of magnitude 10N 5N 4N and 6N act on an object in the direction of north west east and south respectively find the magnitude and direction of their resultant
The magnitude and direction of the resultant force (F=10N+5N+4N+6N) when four forces of magnitude 10N, 5N, 4N, and 6N operate on an object in the directions of north, west, east, and south, respectively, is 25N.
What do you mean by magnitude?In terms of physics, magnitude is just "distance or quantity." It displays an object's size, direction, or motion in absolute or relative terms. It is employed to indicate the size or scope of something. The word "magnitude" in physics frequently denotes a size or quantity.. Something's magnitude is determined by its size. For example, a car moves faster than a bike with terms of speed. The speed difference between the car and the bike in this case is greater. It reveals the absolute or relative size or direction that an object moves when in motion.
What is magnitude of speed?Speed is defined as the magnitude of velocity, and the magnitude of the slope of the displacement-time graph provides the speed. Since the slope gets steeper as we move from A to B, Speed is increased as a result between points A and B.
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1. Identify the three main types of energy that play a role in Earth's processes.
2. Refer to the stages of the water cycle below to describe how energy moves between Earth's surface and atmosphere.
GIVING BRAINLIEST
The three main types of energy that play a role in Earth's processes are: solar energy, kinetic energy, and potential energy.
Solar energy refers to the energy from the sun, which drives many of Earth's processes, such as weather patterns, ocean currents, and photosynthesis.Kinetic energy is the energy of motion and is associated with the movement of wind, water, and ice.Potential energy is stored energy and is associated with the position or condition of an object, such as water stored in a reservoir or the energy stored in the bonds of molecules.What is the water cycle?In the stages of the water cycle, energy moves between Earth's surface and atmosphere in the following way:
Evaporation: Solar energy heats water on the surface of Earth, causing it to evaporate and turn into water vapor. This releases potential energy stored in the water molecules and turns it into kinetic energy of motion.Condensation: As water vapor rises into the atmosphere, it cools and condenses into tiny droplets or ice crystals. This releases kinetic energy of motion and turns it back into potential energy stored in the bonds of water molecules.Precipitation: As the droplets or ice crystals grow larger, they fall to the surface of Earth as precipitation. This releases potential energy stored in the bonds of water molecules and turns it back into kinetic energy of motion.Runoff: The precipitation flows over the surface of Earth, picking up energy from the sun and from friction with the ground, and becomes runoff. This energy becomes kinetic energy of motion.Infiltration: Some of the runoff seeps into the ground, where it is stored as potential energy in the bonds of water molecules.Therefore, energy moves between Earth's surface and atmosphere by the conversion of potential energy to kinetic energy and vice versa.
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The figure shows a graph of the output from an AC voltage source.
What is the maximum voltage Vmax of the source?
What is the average voltage Vavg of the source?
What is the root-mean-square voltage Vrms of the source?
Express your answer to three significant figures.
What is the period T of the source?
Express your answer in seconds to two significant figures.
What is the frequency f of the source?
Express your answer in hertz to three significant figures.
What is the angular frequency ω of the source?
Express your answer in radians per second to three significant figures.
Answer: the last one
Explanation: i did this before lol
Consider a situation where 1.5 grams of benzoic acid is dissolved in 75 mL of water. Use the value 9.5 for the distribution coefficient Kd, and calculate how much benzoic acid would remain in the aqueous phase after one extraction with 60 mL of ether. What percentage of the original benzoic acid was extracted into the ether phase?
Cocaine is a tropane alkaloid that has both local anesthetic and stimulant effects on the central nervous system (CNS).
Cocaine inhibits the re-uptake of dopamine, serotonin, and norepinephrine into pre-synaptic neurons by binding to the transport proteins for these neurotransmitters. As a result, the synaptic cleft accumulates more of the relevant neurotransmitters, which may boost postsynaptic receptor activation. Cocaine works by binding to and blocking the voltage-gated sodium channels in the membrane of neuronal cells to produce local anesthetic effects. Cocaine causes a reversible lack of feeling by stabilizing neuronal membranes, which prevents the start and conduction of nerve impulses. A benzoic acid ester, cocaine was first employed as a local anesthetic.
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1.
A 759 N diver drops from a board 10.4 m above the water’s surface. The acceleration of gravity is 9.81 m/s^2 . a) Find the diver’s speed 5.70 m above the water’s surface. Answer in units of m/s. Answer in units of m/s.
2. b) Find the diver’s speed just before striking the water. Answer in units of m/s. Answer in units of m/s.
3. c) If the diver leaves the board with an initial
upward speed of 3.00 m/s, find the diver’s
speed when striking the water.
Answer in units of m/s. Answer in units of
m/s.
(a) The diver’s speed 5.70 m above the water’s surface is 9.6 m/s.
(b) The diver’s speed just before striking the water is 14.28 m/s.
(c) The diver's speed when striking the water at the given initial velocity is 14.59 m/s.
What is the diver's speed 5.7 m above the water's surface?
The diver’s speed 5.70 m above the water’s surface is calculated by applying the principle of conservation of energy as shown below.
v = √ ( 2gh )
where;
g is acceleration due to gravityh is the height travelled by the diver from the starting pointh = 10.4 m - 5.7 m = 4.7 m
v = √ ( 2 x 9.8 x 4.7 )
v = 9.6 m/s
The diver's speed just before striking the water is calculated as follows;
v = √ ( 2gh )
where;
h is the height of fall of the diver = 10.4 mv = √ ( 2 x 9.8 x 10.4 )
v = 14.28 m/s
The diver's speed when striking the water at the given initial velocity is calculated as;
v² = u² + 2gh
where;
u is the initial velocity of the diverv² = (3)² + 2(9.8)(10.4)
v² = 212.84
v = √ (212.84)
v = 14.59 m/s
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20N being applied to move a 100kg box at a constant speed to the right
In the straightforward cases where a constant force moves an object at constant velocity, the power is just P = Fv.
How do you calculate the power of an object moving at a constant speed?The power is simply P = Fv in the simple situations when a constant force moves an object at a constant speed. The scalar product of force and velocity must be employed in more broad cases where the velocity is not parallel to the direction of the force. A body of mass 5 kg resting on a horizontal plane is subjected to a force of 20 Newton. After moving 2 metres, the body gains 10 joules of kinetic energy. In fact, this quantity, known as the acceleration of gravity, is so significant to physics that it has its own distinctive symbol, the letter g. The most precise measurement of the gravitational acceleration is 9.8 m/s/s.To learn more about constant speed refer to:
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In (Figure 1), what value of Fmax gives an impulse of 9.0 Ns?
Express your answer to two significant figures and include the appropriate units.
The value of Fmax = 10-³/2 N
Fmax = 500N
Explanation:
Impulse is the area under force curve
The ramp up and down each have area 1/2*base*height
= 1/2 *2ms*Fmax areas for the combined area (2ms)Fmax
The middle rectangle has area = base * height
= (4ms)Fmax
So, total (6ms)Fmax is equal to 3Ns
Fmax = 3Ns/6ms = 10^3 /2 N
Fmax = 1000/2 = 500N
The value of Fmax gives an impulse of 9.0 Ns is found to be 2.25N
How are the force F, the impulse J, and the time t related?The term "impulse" describes how much of an influence a force has overall over the course of time. J = F t for a constant force. The continuous net force applied on an object throughout time and its duration are both factors that affect impulse.
For a constant force, J = F ⋅ Δ t
Impulse J => 9 Ns
F max at given impulse = 9/Δ t => 9/(6-2)
=> 2.25N
What does F in impulse stand for?F stands for the applied resultant force, t1 and t2 for the start and end of the impulse, respectively, m for the object's mass, v2 for the object's ultimate velocity at the conclusion of the time interval, and. When the time interval starts, the object's starting velocity is v1.
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write a partial decay series for at-217 undergoing the following sequential decays: α, β, α, β.
Part A
α-decay
Express your answer as a nuclear equation
α decay:
217 At → 4 α + 213 Bi
85 2 83
β decay:
213 Bi → 0 e + 213 Po
83 -1 84
α decay:
213 Po → 4 α + 209 Tl
84 2 82
β decay:
209 Tl → 0 e + 209 Pb
82 -1 83
What occurs when radioactive material decays?
A radioactive atom will naturally emit radiation in the form of energy or particles in order to transition into a more stable state. The difference between radioactive material and the radiation it emits must be made. Radioactivity types: beta, gamma, and alpha decay.
A typical type of radioactive decay known as "alpha decay" occurs when a nucleus emits an alpha particle (a helium-4 nucleus). A nucleus emits beta particles during the typical radioactive decay process known as beta decay. The offspring nucleus will be more atomically massive than the parent nucleus.
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The density of mercury is 13.5 g/mL. What is the mass in kg of mercury that fills a 0.250-L flask: A: 3.38 kg B: 54.0 kg C: 3380 kg D: 0.0540kg
The amount of mercury needed to fill a 0.250-L flask is 3.38 kg.
The correct option is A.
What is mass?An object's inertia, or barrier to a change in motion, is quantified by its mass. It is a basic physical characteristic that is measured in kilograms (kg), grams (g), and pounds (lbs) (lbs). Any item's mass is just an intrinsic feature, which means it measures the physical characteristics of the thing without taking into account outside factors. The relationship between mass and other physical characteristics like density, force, and speed is a common one in scientific calculations.
To do so, first convert the volume of 0.250 L supplied to cubic centimeters (cm3), which is equal to 250 cm3. To acquire 3375 g of mercury, multiply this amount by the density of mercury, which is 13.5 g/mL.
Density of water = 1 (1 g / ml)
.25 L = 250 ml (milleters)
mass of flask = 250 ml * 1 g / ml = 250 g (water to fill flask)
Equivalent mass of Hg = 13.5 * 250 g = 3375 g = 3.38 kg
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Explore Suppose you are in a partially darkened room holding a flat piece of white cardboard in one hand and a converging lens of focal distance Convex lens 6.3 x 10 m in your other hand. You want to form an image of the window in front of you, which is at a distance of 1.74 m in front of the lens. (A) Find how far behind the lens the cardboard should be held to form as sharp an image as possible. (B) If the height of the window is 1.00 m, find the height of its image Object height 0.05 m Image height -0.05 m
Object distance 0.40 m Image distance 0.40 m Conceptualize The rays of light from any given point on the window refract as they pass through the lens to meet at a point behind the lens A ray that is parallel to the optical axis on either side of the convex lens passes through the focal point on the opposite side, and a ray through the center of the lens is undeflected. If the cardboard is held at the location where the rays traced in this way meet, an image focused as well as possible would be seen on the cardboard Categorize We apply the thin lens formula to calculate the image distance from the object distance and focal length. (A) Find how far behind the lens the cardboard should be held to form as sharp an image as possible Analyze The image distance q can be calculated from the thin lens formula: which can be rearranged as: (B) If the height of the window is h = 1.00 m, find the height of its image. Analyze The ratio of the image height h' to the object height h is the magnification M given by: h' 9 Then: C 9 1.74 m (1.00 m) =- h' Finalize The minus sign in the height corresponds to an inverted image. Finalize Notice also what happens if the sign of the focal length is changed, corresponding to a diverging lens (in the simplest case a concave lens) as illustrated in the Active Figure for concave lens. The rays from a given point on the object meet to form an image only when the rays are imagined to extend back towards the object, where they converge (as seen in the Active Figure). This is where the rays would appear to come from if you were holding the diverging lens in front of you while looking at the window. Would the image of the window be smaller or larger than the window in this case? What sign would q have?
For a converging lens, the focal point is the point at which converging light rays cross; for a diverging lens, the focal point is the point from which diverging light rays appear to originate.
Where do diverging rays come from?The focal length f is the measurement from the lens's centre to its focal point. Diverging light will come from a point on a far-off object. Diverging light rays will emanate from a point at a very far object. Parallel light beams spread out when they pass through a diverging lens. These light rays appear to the spectator to originate from the focal point on the opposite side of the lens. Together, these beams create a virtual image. A ray that is parallel to the axis and approaching a convex diverging mirror appears to be coming from the focal point F behind the mirror due to reflection. Convex mirrors are also known as diverging mirrors because they diverge the light rays that strike their surfaces.To learn more about diverging rays refer to:
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4- Find the required time for a car to move 98 m if it starts from rest and acceleration at 40 m/s2?
Answer:
t = 2.21 s
Explanation: s = 98 m
u = 0 m/s
a = 40 m /s ^2
Using the second equation of motion :
s = ut + 1/2 at ^2
98 = 0 × t + 1/2 × 40 × t × t
98 = 0 + 20 t ^2
98 = 20 t ^2
98 / 20 = t ^2
4.9 = t ^2
t = √ 4.9
t = 2.21 s
an 8 g bullet is fired from a rifle . the bullet passes through a 10 cm plank. this reduces the bulle's velocity from 400 m/s west to 300 m/s west
a) calculate the bullet's initial momentum.
b) calculate the bullet's final momentum
c) calculate the bullet's change in momentum
d) draw a labbed vector diagram to illustrate the bullet's initial, final and chamge in momentum vectors
The bullet's final momentum is 0 m/s, hence the change in momentum is 100 000 m/s.
What is the change in momentum?The product of an object's mass and velocity is changed, and this is known as the change in momentum (p). To alter an object's momentum, a force is needed. The momentum of the item may change due to the applied force, as well as its direction. A substance's rate of change in momentum is inversely proportional to the applied resultant force and moves in the same direction. Therefore, we can state that the force applied equals the rate of change of momentum. It is well known that mass times velocity equals momentum..
Is change in momentum zero?Keep in mind that the temporal rate of change of the total momentum is zero when there are no outside forces operating on the system. In other words, the total momentum of the system does not vary over time if the sum of the external forces is zero. In this situation, we say that the system's momentum is conserved.
Mass (m)=10cm=0.01kg. Time T=0.003s
Velocity v f=300m/s,v i=0m/s Acceleration (a)= 0.003
300
=100000m/s 2
∴Force=mass×acceleration
Or, F=(0.01)×(100000)=1000N.
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what is attribute conformity? what is the resulting decision from attribute measurement results?
Attribute conformity is one that classifies each item in the sample as either having some attribute or not having it.
Variation present in your measurement system will affect the quality of the product and can damage your company's brand.
Purpose of Attribute measurement system analysis:
Accuracy check:
To access the customer standard, need to fulfill the customer's requirement, which means MSA performs to identify how good is our measurement system with our masters.
Precision check:
To determine that, the inspector can measure correctly. Is he checking with the same criteria across all shifts, machines, etc… to measure and evaluate parts and also called Repeatability
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Enter the critical temperature of water. Express your answer with the appropriate units.
The critical temperature of water is 374.15°C (705.37°F).
What is temperature?Temperature is a measure of the degree of hotness or coldness of an object or environment. It is measured using a thermometer, which records the temperature in either Celsius or Fahrenheit. Temperature is an important factor in determining the climate of an area and can affect many aspects of life. Temperature also affects the rate of chemical reactions, and can be used to measure the kinetic energy of molecules. Temperature is an important factor in determining the properties of materials, and can influence how they behave.
The critical temperature of water is 374.15°C (705.37°F). At this temperature, water is neither a liquid nor a gas, and its properties are the same regardless of pressure.
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Calculate the force necessary to accelerate a 20,000-lbm rocket vertically upward at a rate of 100 ft/sec2. Assume g = 32.2 ft/sec2.
365541.022 N is the force necessary to accelerate a 20,000-lbm rocket vertically upward at a rate of 100 [tex]\frac{ft}{sec^{2} }[/tex] .
20000 lbm = 9071 . 8474 kg
100 [tex]\frac{ft}{sec^{2} }[/tex] = 30.48 [tex]\frac{mts}{sec^{2} }[/tex]
and g = 9.814 [tex]\frac{mts}{sec^{2} }[/tex]
force required = mass * (acceleration of rocket + g)
= 9071.84748*(30.48+9.814)
= 365541.022 N
A force in physics is an impact that has the ability to change an object's motion. As a linear momentum, a force is one with both magnitude and direction. The force exerted on an object is equal to its mass times its acceleration, or Newton's second law, which is sometimes expressed as F=ma (a). Therefore, more force is required to accelerate an object with higher mass. Additionally, an item accelerates more quickly the more force it is under.
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How would you describe the forces in the magnetic field in the picture above? Are they attractive or repulsive? Explain your answer.
The forces in the magnetic field is attractive in nature. Force of attraction is a force that pulls body near due to its attraction.
What is attractive and repulsive forces?There are number of attractive forces prevailing in nature and some of them are magnetic force, electric force, electrostatic force and gravitational force.
Magnetic force, is attraction or repulsion that arises between electrically charged particles because of their motion. Magnetic forces are non contact forces as they pull or push on objects without touching the and magnets are only attracted to few 'magnetic' metals.
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A beam of charged particles can be deflected by:
an electric field only
neither a magnetic nor an electric field
both an electric field and a magnetic field
a magnetic field only
Both an electric field and a magnetic field can deflect a beam of charged particles
What is a Magnetic Field ?A magnetic field is any region or space where a magnetic force can be felt. The magnetic field strength is also known as magnetic field.
When a beam of charged particles pass through the magnetic field, the beam of the charged particle will be deflected by moving in a circle.
But when a beam of charged particles pass through the electric filed, the beam of charged particles will be deflected by moving in a parabolic path.
Therefore, a beam of charged particles can be deflected by both an electric field and a magnetic field.
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Why are dust particles more likely to remain in the atmosphere longer and travel farther than sand particles
Answer:It might seem small, but atmospheric dust is a big deal. Consisting (mostly) of tiny pieces of metal oxides, clays and carbonates, dust is the single largest component of the aerosols in Earth's atmosphere, and it likely has a significant impact on the Earth's climate, as it effects a wide range of phenomena, including from temperatures in the Atlantic Ocean to the rate of snowmelt in the southwestern U.S. Dust may also affect hurricanes, as recent research based on data sets dating back to the 1950s suggests an inverse relationship between dust in the tropical North Atlantic and the number of Atlantic hurricanes during the past several decades.
Explanation:
Blue and red laser beams strike an air-glass interface with incidence angle 50 ? .If the glass has refractive indices of 1.680 and 1.621 for the blue and red light, respectively, what will be the angle between the two beams in the glass?
The angle between the two beams in the glass to be 42.98°.
What is angle?Angle is a two-dimensional shape formed by two rays that start from the same point (called the vertex). Angles are measured in degrees, with a full circle being 360 degrees. The size of an angle can range from 0° (no angle) to 180° (a straight line). Angles that measure more than 180° are called reflex angles.
To solve this question, we must use Snell's law. Snell's law states that the ratio of the sine of the incidence angle to the sine of the refraction angle is equal to the ratio of the refractive indices. By applying this formula, we can calculate the angle between the two beams in the glass to be 42.98°.
To calculate this angle, we must first calculate the refraction angle for the blue and red beams. To do this, we can set up the following equations:
Sin (50°) / Sin (θb) = 1.680 / 1
Sin (50°) / Sin (θr) = 1.621 / 1
By solving for θb and θr, we can find that the refraction angles for the blue and red beams are 36.51° and 34.47°, respectively.
Now that we have the refraction angles for the blue and red beams, we can use the law of cosines to calculate the angle between them in the glass. The law of cosines states that the square of the angle between two sides of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides multiplied by the cosine of the angle between them.
We can set up the following equation to calculate the angle between the blue and red beams in the glass:
Cos (θ) = (36.51^2 + 34.47^2 - 50^2) / (2 * 36.51 * 34.47)
By solving for θ, we can find that the angle between the two beams in the glass is 42.98°.
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According to the given statement The angle between the two beams in the glass to be 42.98°.
What is angle?Angle is a two-dimensional shape formed by two rays that start from the same point (called the vertex). Angles are measured in degrees, with a full circle being 360 degrees. The size of an angle can range from 0° (no angle) to 180° (a straight line). Angles that measure more than 180° are called reflex angles.
To solve this question, we must use Snell's law. Snell's law states that the ratio of the sine of the incidence angle to the sine of the refraction angle is equal to the ratio of the refractive indices. By applying this formula, we can calculate the angle between the two beams in the glass to be 42.98°.
To calculate this angle, we must first calculate the refraction angle for the blue and red beams. To do this, we can set up the following equations:
Sin (50°) / Sin (θb) = 1.680 / 1
Sin (50°) / Sin (θr) = 1.621 / 1
By solving for θb and θr, we can find that the refraction angles for the blue and red beams are 36.51° and 34.47°, respectively.
Now that we have the refraction angles for the blue and red beams, we can use the law of cosines to calculate the angle between them in the glass. The law of cosines states that the square of the angle between two sides of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides multiplied by the cosine of the angle between them.
We can set up the following equation to calculate the angle between the blue and red beams in the glass:
Cos (θ) = (36.51^2 + 34.47^2 - 50^2) / (2 * 36.51 * 34.47)
By solving for θ, we can find that the angle between the two beams in the glass is 42.98°.
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Explain about wormholes and black holes like you are explaining a five-year-old!
Explanation:
Black hole is a region of spacetime where gravity is so strong that nothing, including light or other electromagnetic waves, has enough energy to escape its event horizon. The theory of general relativity predicts that a sufficiently compact mass can deform spacetime to form a black hole. black hole is 1 billion times bigger than a sun it can easily pull anything and it can even rip entire stars to pieces.A wormhole is a hypothetical structure connecting disparate points in spacetime, and is based on a special solution of the Einstein field equations. It can visualized as a tunnel with two ends at separate points. Wormholes are shortcuts in spacetime, popular with science fiction authors and movie directors. They've never been seen, but according to Einstein's general theory of relativity, they might exist.4. Which of the following statements is not accurate regarding identifying factors on the health pyramid?
O All three sides of the health triangle affect each other.
Personal actions are categorized on the health pyramid by the intended purpose of the initial actions.
O Physical health is the base of the triangle and is the most important part of the health triangle.
O Working out a gym would be categorized in the physical health category.
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On identifying aspects on the health pyramid, the statement "Physical health is a base of a health triangle and is the most essential part of the triangle" is inaccurate.
Describe the triangle.The triangle is just a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles in a triangle add up to 180 degrees. It is the polygon with the least amount of sides.
Define the terms right triangle, acute triangle, and obtuse triangle.All of a triangle's angles measure below 90 degrees in an acute triangle. One of the triangle's angles is more than 90 degrees in an obtuse triangle. One angle of a right triangle is 90 degrees, while the other two are acute.
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A candle is sitting in front of a concave mirror at a distance of 12.2 cm. It is found that an image of the candle appears at 25.0 cm. What is the focal length of the mirror?
Answer:
Focal length (f) = 1/2 (Object distance + Image distance)
f = 1/2 (12.2 cm + 25.0 cm)
f = 18.6 cm
How much work is done by the environment in the process shown in the figure? Express your answer with the appropriate units
Wext is negative So energy is transferred from the system to the environment.
What is Work Done?
Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object. As a result, there is a direct connection between Work and Energy.
The sum of the displacement and the component of the applied force of the object in the displacement direction is the work done by a force.
Using energy conservation
Ki + Ui + Wext = Kf + Uf + dEth
Using given values in graph
4 + 1 + Wext = 1 + 2 + 1
Wext = 4 - 5
Wext = -1 J
Since Wext is negative So energy is transferred from the system to the environment.
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At a given instant, the gear racks have the velocities and accelerations shown.
Determine the acceleration of point A.
Enter the x and y components of the acceleration
Determine the acceleration of point B.
Enter the x and y components of the acceleration
The acceleration of both points A and B can be determined from the given velocities and accelerations of the gear racks.
Point A:
x-component of acceleration = 0 m/s^2
y-component of acceleration = 6 m/s^2
Point B:
x-component of acceleration = 0 m/s^2
y-component of acceleration = -6 m/s^2
The acceleration of both points A and B can be determined from the given velocities and accelerations of the gear racks. The x-component of the acceleration of both points is equal to 0 m/s^2 since the gear racks are not moving horizontally. The y-component of the acceleration of both points is equal to 6 m/s^2 in the upward direction for point A, and -6 m/s^2 in the downward direction for point B. Therefore, the acceleration of point A is (0, 6) m/s^2 and the acceleration of point B is (0, -6) m/s^2.
The complete question is:
At a given instant, the gear racks have the velocities and accelerations shown.
Determine the acceleration of points A and B.
Enter the x and y components of the acceleration
the complete question is :
At a given instant, the gear racks have the velocities and accelerations shown ( attached below ).
Determine the acceleration of point A.
Enter the x and y components of the acceleration
Determine the acceleration of point B.
Enter the x and y components of the acceleration
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Imagine that in part E8, you had placed the compass due East of the wire. Draw two vector diagrams for the magnetic field(s) felt by this compass: one with the current OFF, and one with the current ON. Each diagram should show individual magnetic fields from any relevant sources, as well as a vector indicating the total magnetic field. For this problem, assume that the current flows upwards (in your drawing, this is out of the page
The compass felt the magnetic field around wire where current flows in upward direction. The vector direction of magnetic field around wire (current ON) according to thumb rule is anti-clockwise.
Why does a wire's magnetic field have a circular shape?A wire develops a ring-shaped magnetic field as current flows through it. This magnetic field has the ability to divert the needle of a magnetic compass. Closer to the wire, the magnetic field is stronger, and its strength grows as the current does as well. This magnetic field is a result of the circular wire's current flow, and the circular wire's centre has straight magnetic field lines. By using the right hand thumb rule, the magnetic field's direction can be determined.
What does a compass needle's deflection in a wire carrying current reveal?it is as a result of the magnetic field that is created when current is transferred through a current-carrying conductor.
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Which article has a more formal tone? Support your answer with details from both texts. From "The ever-changeing sky
The article "Sunrise, Sunset...or Not?" by ReadWorks has a more formal tone compared to "The Ever-Changing Sky" by Megan McGibney.
What is the formal tone about?In "Sunrise, Sunset...or Not?" the author uses scientific and technical terms such as "counterclockwise," "Arctic Circle," and "phenomenon," and provides a detailed explanation of the scientific reasoning behind the rising and setting of the sun.
In contrast, "The Ever-Changing Sky" by Megan McGibney has a more casual tone, using more colloquial language such as "clear day," "bright and shiny," and "People have always looked up at the sky with wonder." The author also uses phrases like "guess how long" and "right!" which implies that the author is addressing a less formal audience and is being conversational.
In all, "Sunrise, Sunset...or Not?" has a more formal tone because of its use of technical language, explanation of scientific concepts, and a generally informative and explanatory writing style.
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Sunrise, Sunset...or Not?
by ReadWorks
The sun is a wonderful thing for Earth. It is a star that heats the planet and makes life on
Earth possible. In addition, its light shines onto the planet. It is Earth's ultimate source of
energy.
Summer days may be longer than winter days, but for most people, the sun seems to do the
same thing each day: it appears to come up in the east for the day, and it appears to go down
in the west for the night. The sun looks like it rises in the east and sets in the west because of
how the earth spins in space. It spins toward the east, or counterclockwise. This means that
when most people look at the sky in the morning, the sun will first appear in the east.
The earth takes 24 hours to complete one turn. For most places on Earth, there is a daytime
and nighttime every 24 hours. But in some places for many days at a time, the sun might stay
up in the sky, or it might not even come up above the horizon.
In some parts of the world, the sun can be up in the sky for months. During part of the spring
and summer in Earth's Northern Hemisphere, the Northern Hemisphere is tilted towards the
sun so much that the sun in northern Alaska, which is located in the Arctic Circle, never goes
below the horizon. The Arctic Circle is an area at the top of the earth. In Barrow, Alaska, the
sun doesn't set for almost three months! This phenomenon is called the midnight sun, when
the sun has not set at midnight. Try sleeping through that!
During parts of the fall and winter in Earth's Northern Hemisphere, the Northern Hemisphere
is tilted in such a way that the sun doesn't come over the horizon in northern Alaska for a little
over two months. Therefore, nights last more than 24 hours. This phenomenon is called the
polar night. Although the sun never rises above the horizon during parts of the fall and winter
in the Arctic Circle, enough light often shines so that people who live there don't need
The Ever-Changing Sky
The Ever-Changing Sky
by Megan McGibney
Look up at the sky on a clear day. You will see the sun. It is bright and shiny, warming much of
what its light touches. Look up at the sky again at night. You may see the stars. They are also
bright and shiny, glimmering in the dark sky. You may also see the moon. It looks bright and
shiny, reflecting light from the sun. People have always looked up at the sky with wonder.
Some have even studied the sun, moon, and stars. These people, called astronomers, have
learned that those objects in the sky do not stay in the same place all the time.
The Ever-Changing Sky
extra quarter of a day.
Let's take a closer look at the moon. The earth does not revolve around the moon. Instead,
the moon revolves around the earth. It takes the moon about four weeks to complete a
revolution around the earth. The portion of the moon we, here on Earth, see changes over
this period of about four weeks as the moon's position around the earth changes. The
moonlight we see at night is the moon's reflection of sunlight onto Earth. The different ways
the moon appears to us are known as the moon's phases. The moon's phases depend on the
moon's position in relation to the earth and the sun.
The four-week period starts and ends with the new moon. The new moon cannot be seen
because the side of the moon lit by the sun is facing away from the earth.
Use the articles "The Ever-Changing Sky" and "Sunrise, Sunset...or Not?" to answer
questions 6.
6. Which article has a more formal tone? Support your answer with details from both texts.
Answers will vary.
A heat engine using a monatomic gas follows the cycle shown in the figure. Part A Find WS, Q, and delta Eth for the process 1 - > 2. Express your answers using three significant figures separated by commas. Part B Find Ws, Q, and delta Eth for the process 2 - > 3. Express your answers using three significant figures separated by commas. Part C Find Ws, Q, and delta Eth for the process 3 - > 1. Express your answers using three significant figures separated by commas. Part D What is the thermal efficiency of this heat engine? Express your answer using two significant figures.
The heat engine follows the cycle shown in the figure, and the thermal efficiency is calculated to be 35.6%. For process 1-2, WS = -7.14 J, Q = -20.04 J, delta Eth = -12.90 J; for process 2-3, WS = -7.14 J, Q = -7.14 J, delta Eth = -12.90 J; for process 3-1, WS = 7.14 J, Q = 13.21 J, delta Eth = 5.07 J.
Part A: WS = -7.14 J, Q = -20.04 J, delta Eth = -12.90 J
Part B: WS = -7.14 J, Q = -7.14 J, delta Eth = -12.90 J
Part C: WS = 7.14 J, Q = 13.21 J, delta Eth = 5.07 J
Part D: Thermal Efficiency = 35.6%
Part A: WS = -7.14 J, Q = -20.04 J, delta Eth = -12.90 J
To calculate WS, Q and delta Eth for process 1-2, we need to calculate the change in internal energy between the two states. The internal energy of a monatomic gas is given by U = 3/2*n*R*T, where n is the number of moles of the gas, R is the ideal gas constant and T is the temperature.
For process 1-2:
U2 - U1 = -12.90J
To calculate Q, the equation Q = U2 - U1 can be used.
Q = U2 - U1 = -12.90J
To calculate WS, the equation WS = Q - (U2 - U1) can be used.
WS = Q - (U2 - U1) = -20.04J - (-12.90J) = -7.14J
Part B: WS = -7.14 J, Q = -7.14 J, delta Eth = -12.90 J
To calculate WS, Q and delta Eth for process 2-3, we need to calculate the change in internal energy between the two states. The internal energy of a monatomic gas is given by U = 3/2*n*R*T, where n is the number of moles of the gas, R is the ideal gas constant and T is the temperature.
For process 2-3:
U3 - U2 = -12.90J
To calculate Q, the equation Q = U3 - U2 can be used.
Q = U3 - U2 = -12.90J
To calculate WS, the equation WS = Q - (U3 - U2) can be used.
WS = Q - (U3 - U2) = -12.90J - (-12.90J) = -7.14J
Part C: WS = 7.14 J, Q = 13.21 J, delta Eth = 5.07 J
To calculate WS, Q and delta Eth for process 3-1, we need to calculate the change in internal energy between the two states. The internal energy of a monatomic gas is given by U = 3/2*n*R*T, where n is the number of moles of the gas, R is the ideal gas constant and T is the temperature.
For process 3-1:
U1 - U3 = 5.07J
To calculate Q, the equation Q = U1 - U3 can be used.
Q = U1 - U3 = 5.07J
To calculate WS, the equation WS = Q - (U1 - U3) can be used.
WS = Q - (U1 - U3) = 5.07J - (-5.07J) = 7.14
Part D: Thermal Efficiency = 35.6%
The thermal efficiency of a heat engine is given by the equation η = (Wnet/Qh) x 100, where Wnet is the net work output of the engine and Qh is the heat input to the engine.
For this heat engine, Wnet = WS1 + WS2 + WS3 = 7.14J + (-7.14J) + (-7.14J) = -7.14J and Qh = Q1 + Q2 + Q3 = -20.04J + (-7.14J) + 13
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A defibrillator passes a brief burst of current through the heart to restore normal beating. In one such defibrillator, a 50.0 - μF capacitor is charged to 6.0kV. Paddles are used to make an electric connection to the patient's chest. A pulse of current lasting 1.0 ms partially discharges the capacitor through the patient. The electrical resistance of the patient (from paddle to paddle) is 240Ω (a) What is the initial energy stored in the capacitor? (b) What is the initial current through the patient? (c) How much energy is dissipated in the patient during the 1.0 ms? (d) If it takes 2.0 s to recharge the capacitor, compare the average power supplied by the power source with the average power delivered to the patient. (e) Referring to your answer to part (d), explain one reason a capacitor is used in a defibrillator.
The initial energy stored in the capacitor is 1.5E+6 J and the initial current through the patient I= 25.0 A.
The initial energy stored in the capacitor can be found using the formula for energy stored in a capacitor U₀=1/2CV^2 Plugging in the given values, we get:
U₀=1/2*(50E-6F)*(6000V)^2
U₀=1.5E+6 J
(b) The initial current through the patient can be found using Ohm's law, which states that I = V/R. Plugging in the given values, we get:
I = 6000V/240Ω
I= 25.0 A
(c) The energy dissipated in the patient during the 1.0 ms can be found by multiplying the power by the duration. The power can be found using the formula:
P = IV = (25A)(6000V) = 150,000 W. So the energy dissipated is:
Energy = P * t
= 150,000W * 0.001s
Energy=150 J
(d) To compare the average power supplied by the power source with the average power delivered to the patient, we need to know the power of the power source. Since the capacitor is charged to 6.0 kV in 2.0 s, the power can be found by:
Power = (Energy) / (time)
= (1.5E+6 J) / (2.0s)
Power= 750,000 W
So, the average power supplied by the power source is 750 kW and the average power delivered to the patient is 150 W.
(e) A capacitor is used in a defibrillator to store a large amount of energy in a small package. The energy stored in the capacitor can be discharged quickly to provide a large current to the patient's heart to restore normal beating.
The capacitor also allows the defibrillator to deliver a high-energy shock without drawing a large current from the power source, which improves the safety of the device.
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If you break a magnet into 10 pieces,how many pieces will be there in the north and how many in the south
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