Answer:
OC.Newton's third law of motion which states that,"every action has equal and opposite reaction."
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A truck with mass of 3,250 kg traveling with a velocity of 25.0 m/s hits a car at rest. After the collision, the truck moves with a velocity of 19.0 m/s. The car has a mass of 2,820 kg. If the two vehicles do not stick together, how fast is the car moving after the collision?
Answer:
6.9 m/s
Explanation:
This is a conservation of momentum problem, so the total momentum before the collision must equal the total momentum after the collision.
P = mv
m1v1 + m2v2 (before) = m1v1 + m2v2 (after)
(3250kg)(25.0 m/s) + (2820 kg)(0m/s) = (3250 kg)(19.0 m/s) + (2820 kg)(v2)
Now you can solve for the v of the car after the collision:
81250 kg·m/s + 0 = 61750 kg·m/s + (2820 kg)v2
19500 kg·m/s = (2820 kg)v2
v2 = 19500 kg·m/s / 2820 kg = 6.9 m/s
How do icebergs form in saltwater?
An iceberg is formed by the broken part of a large glacier that floats into the sea. The iceberg is composed of fresh water, just like the glaciers or ice in the North Pole. Since, freshwater is less thick than salty seawater, icebergs float in the water.
When chunks of ice break off the end of a glacier that is flowing into ocean, icebergs are created.
Since, seawater has a slightly higher density than ice, the iceberg floats with the majority of its mass below the surface. A cork, on the other hand, floats quite near to the water's surface due to its density, which is around 20% that of water.
As moving icebergs are dangerous, they have never been a main supply of drinking water. Freshwater is released by melting glaciers and icebergs, which also lowers the salinity of the surrounding sea.
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For the circuit in the attached plot, find the energy stored in the capacitor under DC conditions. O 30 mJ O 3 mJ O 0.045 mJ O 0.005 mJ
The energy stored in the capacitor is 0.045 mJ. Under DC conditions, the capacitors will be open-circuited.
What is the formula for energy stored in a capacitor?Energy stored in a capacitor can be calculated by
E = ½ CV²
Where
E = energy (J)C = capacitance (F)V = voltage (V)The picture of circuit in the attached plot is in the attachment.
Find the energy stored in the capacitor under DC conditions!
We have
R₁ = 10 ΩR₂ = 20 ΩC = 0.1 μFI = 3 AUnder DC (Direct Current) conditions, the capacitors will be open-circuited. It means that there is no current will flow through the 20 Ω resistor. So, I across the 10 Ω resistor is the same as I source.
See the picture below in the attachment!
The voltage across the 10 Ω resistor is
V = IR
V = 3(10)
V = 30 V
The voltage across the capacitor is the same as the voltage across the 10 Ω resistor.
Vc = V = 30 V
The energy stored would be
E = ½ C Vc²
E = ½ (0.1)(10⁻⁶)(30)²
E = ½ (10⁻⁷)(900)
E = 450 × 10⁻⁷
E = 0.045 × 10⁻³
E = 0.045 mJ
Hence, the energy stored in the capacitor under DC conditions is 0.045 mJ. The correct option is (c).
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In 1935, a french destroyer , La Terrible , started from rest and accelerates to attain a speed of 93 km/h. Suppose it took 2 minutes for the ship to speed up. Find the ships average acceleration.
According to the given statement The ships average acceleration is 2790 km/hr².
What is an explain acceleration?Rate of change in both speed and direction of motion over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because of direction is always shifting
Calculation:We know that from newton's equation,
v² + u² = 2as
S = ut + 0.5 at²
Where, v = final speed
u = initial speed
a = acceleration
S = distance covered
t = time taken
Given, u = 0
So the equations becomes:
v² = 2as
S = 0.5 at²
Using these equations we get:
v² = 2a(0.5)at²
v² = a²t²
v = at
v/t = a
Given, v = 93 km/hr
t = 2 min = 2/60 hr
Putting these values in above equation we get, a = 2790 km/hr²
So, the ships average acceleration is 2790 km/hr²
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A net force of 10 newtons accelerates an object at 5.0 meters per second^2. What net force would be required to accelerate the same object at 1.0 meters per second^2
The proper answer is that a force of 16 N net would be needed to accelerate the same item at 1.0 m/s2.
How is the net force needed to accelerate calculated?Newton's second law of motion condenses these relationships. The answer to the acceleration equation above can be written as Net Force = Mass Acceleration, or F = m a.
You know that force(F) & acceleration(a) are connected through mass(m),
F=ma
Here you have:
10 = 5 m
so, m = 10/5 = 2 Kg
Then if you have a = 8 m/s^2
you get:
F=2×8=16 N
Force = 16N
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Does the effective thermal conductivity of an insulation system account for heat transfer by conduction alone
Yes, effective thermal conductivity of an insulation system accounts for heat transfer by conduction.
What do you mean by thermal conductivity?
Thermal conductivity is a property of a material that describes its ability to conduct heat. It is typically measured in units of watts per meter per kelvin (W/m·K). The thermal conductivity of a material is affected by various factors, such as temperature, pressure, and the presence of impurities or defects.
The effective thermal conductivity of an insulation system is a measure of its ability to resist heat transfer by conduction. It does not take into account other forms of heat transfer, such as convection or radiation.
The value of the thermal conductivity is typically measured by determining the rate of heat flow through a sample of the insulation material under specific conditions of temperature and pressure.
The lower the thermal conductivity, the better the insulation's ability to resist heat transfer by conduction.
Hence, effective thermal conductivity of an insulation system accounts for heat transfer.
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Inducing magnetic properties on a substance means you are
aligning the electrons to spin in the opposite direction
aligning the electrons to spin in the same direction
pairing up electrons to spin together
separating electrons to move freely in the substance
Inducing magnetic properties on a substance means you are aligning the electrons to spin in the same direction, 2nd option.
How are magnetic properties induced?The magnetic intensity is the magnetic field produced solely by the electric current flowing in a solenoid. The magnetic property of a material is induced by an external magnetic field. When a material is exposed to an external magnetic field, it becomes magnetized.
A strong magnetic field is produced when the majority of electrons in an atom spin in the same direction. The magnetic field's direction is determined by the direction of electron spin.
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If I raise the temperature of a material by 5 K, what is the corresponding change in temperature on the Fahrenheit scale?
The corresponding change in temperature on the Fahrenheit scale More than 5°F.
In the Celsius scale, a temperature change of 5 degrees K corresponds to a shift of 50 degrees C. This is due to the fact that a temperature change of one degree Celsius is equivalent to a temperature change of one degree Kelvin. Tk = TC +273.15. We can observe that the relationship between the two temperature scales is linear and that its slope is the same for each.
The degree Celsius, denoted by the symbol °C, is the unit of temperature in Celsius and is by definition equal in magnitude to the kelvin unit. A temperature difference or interval can be stated in either kelvin or degrees Celsius, and in both cases the numerical value of the temperature difference is the same. However, the relationship between the numerical value of a thermodynamic temperature represented in kelvin and a Celsius temperature expressed in degrees Celsius exists.
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Rank the following reservoirs by the amount of time that water tends to reside in them.
Longest Shortest
Oceans glaciers lakes
the atmosphere rivers
In Glaciers water tends to live extra than the longest time and, within the ecosystem, the water turns to live for the shortest time. due to the fact in glaciers water anticipated residence time is approx. 3000 years and in Lake’s water be saved approx. a hundred years. Water house time in the river is approx. for weeks to months and water residence, time in the surroundings is approx. for 7 - 9 days at best.
Glaciers are big, gradual-shifting masses of ice that collect over thousands of years from the compaction of snow. Glaciers are discovered in lots of mountainous and polar areas around the sector, and they're the largest freshwater reserves around the globe. Glaciers act as a herbal garage of water, allowing it to be launched slowly over the years.
As temperatures increase, glaciers are melting at an alarming fee. This melting causes the discharge of large amounts of water, which can weigh down ecosystems and result in flooding, as well as boost sea tiers. The water from melting glaciers also impacts the ocean’s salinity and chemistry, main to changes in the entire marine atmosphere. As glaciers hold to soften at an accelerated price, the availability and exceptional of our water sources will be affected.
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Complete Question:
Rank the following reservoirs by the amount of time that water tends to reside in them. (from longest to shortest)
A). Oceans
B). Rivers
C). Lakes
D). Glaciers
E). Atmosphere
1. Ivan pulls a sled loaded with logs to his cabin in the woods. He pullsutbiq si
with a force of 800 N at an angle of 20° above the ground.
a. Draw a free-body diagram of the 4 major forces acting on the
sled. Label each force appropriately.
The four major forces acting on the sled and the free-body diagram of the 4 major forces acting on the sled is attached below:
The force of gravity pulling down on the sled and logs (labeled as "Fgrav").The force of friction acting against the sled's movement (labeled as "Ffrict").The force of Ivan pulling the sled (labeled as "Fpull").The force of normal acting on the sled (labeled as "Fnorm").What is a free body diagram?In physics and engineering, a free body diagram (FBD; also called a force diagram) is a graphical representation used to visualize the forces, moments, and resulting reactions applied to a body in a given state. expression. It represents a body or connected bodies that includes all applied forces, moments, and reactions acting on the body. A body can consist of several internal elements (such as a truss), or it can be a compact body (such as a beam). A series of free-body and other diagrams may be required to solve complex problems. A free body diagram consists of:
A simplified version of the body (often a period or box).Forces are represented as straight arrows pointing in the direction they act on an object.A moment is represented as a curve with a single arrow or as a vector with two arrows pointing in the direction acting on the body.One or more reference coordinate systems.Responses to applied forces are usually indicated by dashes through the stem of the vector.To know more about free body diagram, visit:
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Rob is studying for an exam. He listed some properties of magnets in a Maglev train.
A 2-column table with 2 rows. The first column labeled Magnet has entries Guidance, Guideway. The second column labeled Properties has entries the current in an electromagnet changes rapidly, which pushes the train forward, a pole faces the like pole of the support magnet and repels the support magnet, which increases friction.
Which best explains Rob’s error?
The current in the electromagnet of the guidance magnet does not change.
The types of magnets are listed incorrectly in the table and should be switched.
The unlike poles of the guideway and support magnets face each other.
The repelling of the support magnet decreases friction.
In the table's Properties column, notably in the entry for the Guidance magnet, Rob made a mistake.
Which best demonstrates Rob's inaccuracy that causes the friction?It is untrue to say that a quickly changing electromagnet's current propels a train forward. To create a levitation force that lifts the train off the tracks and enables it to float, the guidance magnets in a Maglev train really work by repelling the guiding magnets on the vehicle from the guideway.
In order to maintain the train's levitation and stability, the polarity of its steering magnets must change quickly rather than the current.
Superconducting magnets, which don't suffer any major energy losses when repelling another magnet, are frequently used in Maglev trains. Instead, a repelling force produced by the magnets lifts the train off the rails and enables it to float.
The mistake is that the guidance magnets should push the train ahead and increase friction, not by repelling the magnets on the train from the guideway and creating a levitation force.
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What is the reason why a yellow colored object looks white in a dimmed light or low intensity of light?
The reason why a yellow colored object looks white in a dimmed light or low intensity of light the colors wavelength have the colors more farther it means it's getting more dimmed.
The wavelengths of sound waves are similar to the size of objects around you, but the wavelength of light waves are much shorter. As a result, you can hear people talking in a room with an open door even though you can’t see them.
The amount of diffraction or bending of the wave depends on the size of the obstacle the wave encounters. If the size of the obstacle is much larger than the wavelength, very little diffraction occurs. Then there is a shadow behind the object where there are no waves.
As the wavelength increases compared with the size of the obstacle, the amount of diffraction increases. The amount of diffraction is greatest if the wavelength is much larger than the obstacle.
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A proton moving at 3.40 106 m/s through a magnetic field of 1.97 T experiences a magnetic force of magnitude 7.71 10-13 N. What is the angle between the proton's velocity and the field
When the proton passed through magnetic field then the angle between the proton velocity and the field is 49° degrees.
Given
Speed v = 4.00 m/s
Mg field =1.7 T
Force = 8.21 10-3 N
Given:- Velocity of the particle = 4.00x10m/3. 2 Magnitude of the magnetic field B= 1.701.
Force experienced by the particle: 8.20x10¹³N.
To find: The between the particle velocity and field. angle a
We know that :- F= q(√xB)
9 (VBSino) 928 - Sina
Sina = 8.20×10-13 1.6×10-19×4×10 6 x 1.70 = 0.7536.
Sin a = 0.7536. ~ Sin 0 = 0.754
a = sin' (0.7536)
a = 49°
we have a point charge q0 located at r and a set of external charges conspire so as to exert a force F on this charge. We can define the electric field at the point r by: E =Fq0
The (vector) value of the E field depends only on the values and locations of the external charges, because from Coulomb’s law the force on any “test charge” proportional to the value of the charge. However to make this definition really kosher we have to stipulate that the test charge q0 is “small”; otherwise its presence will significantly influence the locations of the external charges.
The electric field is a vector. we can see that its SI units must be It follows from Coulomb’s law that the electric field at point r due to a charge q located at the origin is given by E = kq where r is the unit vector which points in the same direction as r.
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A lottery machine uses blowing air to keep 2000 ping-pong balls bouncing around inside a 1. 0m×1. 0m×1. 0m box. The diameter of a ping-pong ball is 3. 0 cm. What is the mean free path between collisions?
The mean free path between collisions is 1.41 mm.
The mean free path between collisions in a gas can be calculated using the formula: mean free path = 1 / (density x collision cross-section)
To calculate the mean free path between collisions for the ping-pong balls, we first need to calculate the number density of the balls, which is the number of balls per unit volume. Since the box is 1m x 1m x 1m, and the diameter of a ping-pong ball is 0.03m, the volume of the box is 1m^3 and the volume of a single ball is 4/3 * pi * (0.03/2)^3 = 2.5*10^-5 m^3.
Therefore, the number density of the balls is 2000 / 1 = 2000 balls/m^3.
The collision cross-section of a sphere is given by the formula:
cross-section = pi * (diameter / 2)^2
So, the collision cross-section of a ping-pong ball is pi * (0.03 / 2)^2 = 7.07 * 10^-4 m^2
Therefore, the mean free path between collisions is:
mean free path = 1 / (2000 x 7.07 * 10^-4) = 1.41 * 10^-3 m or 1.41 mm
This means that the ping-pong balls in the lottery machine are colliding on average every 1.41mm.
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What potential difference, acting over a distance of 2.5 cm, would be needed to balance the downward force of gravity so that an electron would remain stationary
The potential difference, acting over a distance of 2.5 cm is 1.4*10^-12V.
What are the effects of distance on potential difference?The potential actually grows as you get farther away from the charge, becoming less negative as you get closer to it and eventually reaching zero. The potential for both positive and negative charges is zero at infinite distances from the charge.
Exactly what is potential energy?The energy that a body has because of its location or deformation is known as potential energy. Both the body's bulk and the height to which it is lifted play a role.
Given:
Distance (d) = 2.5cm = 0.025 m
For an electron,
[tex]m= 9.109*10^-31kg[/tex]
[tex]q=1.602*10^-19C[/tex]
We isolate the electric field:
[tex]E=\frac{mg}{q}[/tex]
[tex]g=9.8 m/s^2[/tex]
[tex]E=\frac{(9.109*10^-31kg)(9.8m/s^2)}{1.602*`10^-19C}[/tex]
[tex]E=5.5723*10^-11V/m[/tex]
Electric potential,
[tex]E=\frac{V}{d}[/tex]
[tex]V=Ed[/tex]
[tex]V= (5.5723*10^-11V/m)(0.025m)[/tex]
[tex]V=1.4*10^-12V[/tex]
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If the human body has an average density of 981 kg/m3 , what fraction of a person is submerged when floating gently in fresh water
The fraction of the person submerged in fresh water is about 98.1%.
Given data as per the question:
Average density of the human body= 981 kg/ m³.
The Law of floatation can be defined as the volume of the liquid displaced when a body floats on the liquid surface is equal to the body submerged in the water.
As body has the stable equilibrium state, the buoyancy of the fluid will be equal to the weight.
Weight of the body floating = Weight of the body immersed in fluid
Law of floatation = Density of the floating object / density of fluid
As fluid is the freshwater here, the density of fluid will be 1000 kg/ m³.
= (981 kg/ m³) / ( 1000 kg/ m³)
= 98.1 %
A person is submerged when floating gently in fresh water about 98.1%.
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The goal of this experiment was to answer the question, "How does diffraction occur?" Suppose you formulated this alternate hypothesis:
If the gap width is increased while keeping wavelength constant, then the observed diffraction will decrease because the less the ratio between wavelength and gap width is, the smaller the observed diffraction angle will be.
To test this hypothesis, you would change the gap widthdiffraction anglewavelength and observe the gap widthdiffraction anglewavelength in the system.
Therefore, the independent variable would be the gap widthdiffraction anglewavelength and the dependent variable would be the gap widthdiffraction anglewavelength.
The spreading of waves as they go through an aperture or around objects is known as diffraction. When the wavelength of the incident wave and the size of the aperture or obstruction are on the same order of magnitude, it happens.
What causes diffraction?"More specifically, when applied to light, diffraction of light happens when a light wave travels past a corner or through an opening or slit that is physically smaller than the wavelength of that light, if not smaller.
The main diffraction-causing factor is what?The most frequent instance of diffraction is water waves that bend around a fixed object. Around the border of an item, light flexes similarly. Two tiny apertures are depicted in the animation as wave fronts travel through them.
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The energy transferred to the water was 1050 J.
The time taken for the water temperature to increase by 0.6 °C was 5 minutes.
The specific heat capacity of water is 4200 J / kg °C.
Write down the equation which links energy transferred, power and time.
The energy transferred to the system is equal to the work done. For the endothermic process work done is negative. The power of the system is the product of work and time. Hence, the power is 315000 watt.
What is endothermicity?Endothermic reactions are those which absorbs energy into the system. Thus the surrounding temperature gets decreased.
The calorimetric equation connecting the heat transferred q, with the specific heat, mass and temperature difference is written as:
q = m c ΔT
Here, the heat energy transferred is equal to the work done on the system. Hence W = - 1050 J
Power of the system is the product of work done and time taken for the energy transfer.
Power = W.dt
w = - 1050 J
t = 5 min = 300 s
Then P = 1050 J × 300 = 315000 watt.
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The drop time can be calculated as follows: where y is the vertical height of the table and g is the
acceleration due to gravity. How did the calculated drop time compare to the average of your measured drop
times? Find the percent error using the following equation:
What factors might cause the differences?
Answer:
Tt can be calculated by copy
how do waves change as they approach the shore the height increases, friction along the top of the wave increases, the wavelength increases, the distance between crests inc
As the waves approach the shore, they slow down, the height of the waves increases and the wavelength decreases.
The ocean floor provides resistance to the waves' troughs as they go closer to the coast. The wave is slowed down by the friction it creates with the ocean floor. The wavelength of the waves is shortened by this friction. The crests rise higher and the troughs deepen as the wavelength shortens.
Friction at the wave's point of contact with the bottom slows it down. The wavelength is reduced as one wave slows down and is caught up to by another. The wave height increases even when the wavelength shrinks because the wave's energy remains constant.
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Two points, point 1 and point 2, are located inside a region with an electric field pointing to the left, as shown in the figure. 1 50% Part (a) If a proton is moved from point 1 to point 2, how will the potential energy of the charge-field system change? How will the potential change?
If protons move in the direction of the electric field, the electric potential would change, and it decreases, but if you move opposite the field, the potential energy increases.
If the field is directed from lower potential to higher then the direction is taken to be positive. If the field is directed from higher potential to lower potential then the direction is taken as negative. Potential energy can be converted to kinetic energy and vice versa.
Potential energy is the stored energy in any object or system by virtue of its position or arrangement of parts. However, it isn't affected by the environment outside of the object or system, such as air or height.
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What is a marine zone? Thats all I need thank you :)
Answer:
For this I believe that your working on Ocean layers in science physics
There are actually 5 ocean zones or layers. (here they are in order)
1. Sunlight zone
2. Twighlight zone
3. Midnight zone
4. Abyssal Zone
5. Hadal zone
As a rephrase of the question I believe you meant to say
What are the marine zones?
Please correct me if wrong!!
Because Earth has a lot of nitrogen in its atmosphere and nitrogen has three atoms, this causes even more bluish coloring since three different paths are possible for any one photon (particle of light). Three paths means that more photons are scattered forward and backward than side-to-side, which will make the sky look bluer still.
A buildup of nitrogen in the atmosphere can result in pollutants like ozone and ammonia, which can reduce visibility, interfere with plant growth, and harm our capacity to breathe.
Does increase in nitrogen cause global warming?"Human nitrogen additions to the soil, in the form of fertilisers, strengthen the greenhouse effect: approximately 60% of nitrous oxide is emitted from fertilised fields, manures, and other agricultural sources," claims Mahesh Pradhan, a nutrient pollution specialist with the UN Environment Programme (UNEP).
AUSTRIA (Thomson Reuters Foundation) - Scientists said on Wednesday that rising nitrogen-based fertiliser use is raising emissions of a greenhouse gas 300 times more potent than carbon dioxide, endangering attempts to keep global warming within globally set limits.
With over 75% of all greenhouse gas emissions and almost 90% of all carbon dioxide emissions coming from fossil fuels like coal, oil, and gas, they are by far the biggest cause of climate change in the world.
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Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg.
Their centers are separated by a distance of 2500 m. Find the
gravitational attraction between them.
When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.
Given,
m = 1.5 × 10^5 kg
M = 8.5 × 10^2 kg
r = 2500 m
F=GmM/r^2
Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant
F = 1.36 × 10^-9 N
Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).
If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.
Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.
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During their discussion, Jolon makes several statements about energy. Which statement is correct? O "Energy in a system changes depending on what kind of energy is in the system." O "Energy in a system always switches between kinetic " and potential forms O "Energy in a system can be increased if work is inserted into the system from outside." O "Energy in a system is always constant."
Answer: yes
Explanation:
not to sure
G Two tiny particles having charges +20. 0 μC and -8. 00 μC are separated by a distance of 20. 0 cm. What are the magnitude and direction of electric field midway between these two charges? (k = 1/4πε0 = 9. 0 × 109 N ∙ m2/C2)(calculate separately electric field due to each charge at that point, next taking into account direction of each field find net electric field)
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
The magnitude of the electric field due to the positive charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (20.0 x 10^-6 C) / (0.20 m)
E = 4.5 x 10^9 N/C
The magnitude of the electric field due to the negative charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (-8.00 x 10^-6 C) / (0.20 m)
E = -1.8 x 10^9 N/C
The direction of the electric field due to the positive charge is away from the charge, and the direction of the electric field due to the negative charge is towards the charge.
To find the net electric field, we add the vectors of the two electric fields. Since the vectors are in opposite directions, we subtract the negative vector from the positive vector.
E_net = E_positive + E_negative
E_net = (4.5 x 10^9 N/C) + (-1.8 x 10^9 N/C)
E_net = 2.7 x 10^9 N/C
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
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When a newly forming star is at its greatest luminosity, what is its energy source?
A. nuclear fusion of hydrogen into helium
B. A newly forming star has no energy source because it does not shine at all until it becomes a true main-sequence star.
C. radioactive decay of unstable isotopes
D. gravitational contraction
The correct option is D, when a newly forming star is at its greatest luminosity, its energy source is gravitational contraction.
Gravitational contraction is the process by which objects in the universe collapse under their own gravity. It occurs when the internal pressure of an object is not strong enough to resist the pull of gravity. This can occur on small or large scales, from the collapse of a gas cloud to form stars to the collapse of entire galaxies.
As an object collapses, its temperature and density increase, and the collapse accelerate due to gravitational potential energy being converted into kinetic energy. This process can lead to the formation of stars, planets, and other objects in the universe. It is also the source of much of the energy released by stars, which powers the universe. Gravitational contraction is an important part of the astronomical theory of the formation of galaxies, stars, and planets.
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Assume that you have a mass of 50.0 kg. Earth has a
mass of 5.97 X1024 kg and a radius of 6.38X 10 m.
What is the force of gravitational attraction
between you and Earth?
The force of gravitational attraction is 489.18N
Gravitation is a study of how two masses interact, one of which is heavier and the other lighter, and force is the force that attracts all bodies towards itself in this universe. Gravitational force is a central force that is exerted along the line joining the q of two masses, and the direction of that force depends only on their position with respect to the source mass.Gravitational force: The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.[tex]F = \frac{Gm_{1} m_{2} }{r^{2} }[/tex]
Where,
F is the gravitational force between two bodies
m1 is the mass of the first body = 50 Kg
m2 is the mass of the second body = [tex]5.97 * 10^{24} Kg[/tex]
r is the distance between the centres of two bodies = [tex]6.38 * 10^{6} m[/tex]
G = gravitational constant = [tex]6.67 * 10^{-11}[/tex]
Putting these values in above equation we get: F = 489.18N
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Under certain circumstances, potassium ions (K ) in a cell will move across the 8. 15 nm thick cell membrane from the inside to the outside. The potential inside the cell is -70. 5 mV and the potential outside is zero. What is the change in the electrical potential energy of a single potassium ion as it moves across the membrane
The change in electrical potential energy of a single potassium ion as it moves across the membrane is determined by the difference in the electrical potential energy of the ion on either side of the membrane.
What is Energy?
Energy is the capacity for doing work. It can take on many forms, including mechanical, electrical, chemical, thermal, and nuclear energy. Energy can be converted from one form to another, and it can be used to do work or to produce heat.
Step 1: Calculate the charge of a single potassium ion.
Charge of potassium ion = 1 x 1.602 x 10^-19 Coulombs
Step 2: Calculate the change in potential.
Change in potential = 70.5 mV
Step 3: Calculate the change in electrical potential energy.
Change in electrical potential energy = Charge of potassium ion x change in potential
= (1.602 x 10^-19 Coulombs) x (70.5 mV)
= 1.13 x 10^-17 Joules
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The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0×108m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s.
The approximate mass of the galactic center was calculated to be 1.88*1041 kg.
Assume that the sun is a typical star with a typical mass. If galactic matter is made up of stars, approximately how many stars are in the center of the galaxy?
Note : Astronomers have spent many years trying to determine how many stars there are in the Milky Way. The number of stars seems to be only about 10% of what you'll find in part d. In other words, about 90% of the mass of the galaxy appears to be in some form other than stars. This is called the dark matter of the universe. No one knows what the dark matter is. This is one of the outstanding scientific questions of our day.
The stars in the center of the Milky Way galaxy is approximately 94.5 billion stars. The result is obtained by dividing the mass of the galactic center by the mass of the Sun.
How to estimate the number of stars in a galaxy?The number of stars in a galaxy can be estimated by dividing the mass of galactic center by the mass of a typical star.
In the Milky Way,
Radius of the solar system, r = 25,000 light years.1 light year, c = 3 × 10⁸ m/s.Speed of the solar system, v = 230 km/s.Approximate mass of the galactic center, M = 1.88 × 10⁴¹ kg.Suppose that the Sun is a typical star with a typical mass and the galactic matter is made up of stars. Find the approximate number of stars in the center of the galaxy!
From the scientific data, the mass of the Sun is 1.99 × 10³⁰ kg.
The number of stars is approximately
N = Mass of the galactic center / Mass of the Sun
N = 1.88 × 10⁴¹ kg / 1.99 × 10³⁰ kg
N = 0.945 × 10¹¹
N = 94.5 × 10⁹
N = 94.5 billion stars
In the center of Milky Way, the number of stars is around 94.5 billion stars.
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