Answer:
Mercury's orbital period is approximately 88 days
Explanation:
Mercury's orbit parameters given in the question are;
Mercury's aphelion distance, Rₐ = 0.467 AU
Mercury's perihelion distance, [tex]R_p[/tex] = 0.308 AU
Therefore, the average distance from Mercury to the Sun, 'a', is given as follows;
[tex]a = \dfrac{R_a + R_p}{2}[/tex]
By plugging in the values of 'Rₐ' and '[tex]R_p[/tex]', we get;
[tex]a = \dfrac{R_a + R_p}{2} = \dfrac{0.467 \, AU + 0.308 \, AU}{2} = 0.3875 \, AU[/tex]
a = 0.3875 AU
According to Kepler's third law, we have;
P² = k·a³
Where;
P = The orbital period of the plane
a = The average distance from Mercury to the Sun
k = Constant
When k = 1, we have;
P² = a³
∴ P = √(a³)
From which we have;
P = √(0.3875 AU)³ ≈ 0.241216804711 years
P ≈ 0.2412168 years
1 year = 365 days
∴ 0.241216804711 years = 0.241216804711 years × 365 days/year ≈ 88.0441337 days
0.241216804711 years ≈ 88.0441337 days ≈ 88 days
Mercury's orbital period, P ≈ 88 days.
Count The Significant Digits In Each Of These Measurements:: Measurement Number of significant digits -9.0x10-1 kJ/mol 9.6 x 10^-1 mL 0.006600 J 91900 kg
All the non zero digits are significant and 9*10^-1 has 3 significant figures. Leading zeros and succeeding zeros are not significant.
Rules to find significant digits. 0.175 has 3 significant figures, 1930000 has 3 significant figures, 0.045 has 2 significant figures. Zeros after decimals are significant, provided they must have a significant figure(s) on the left side of them. Example-5.730 has 4 significant figures.
40.038 has 5 significant figures. All constants or exponential nos. and trigonometric angles are not significant. Example- 50° has no significant figure. Speed of light-3*10^8 m/s have no significant figures. 14*10^7 have 2 significant figures.
Zeros between two significant figures are significant. Example-40.0 have 3 significant figures. All amounts like 4 apples ,7 children have infinite no.of significant figures.
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Please show your complete solution of these questions.
(THOSE WHO ANSWERED WITH COMPLETE STEPS WILL BE MARKED AS BRAINLIST)
If energy costs 10 cents per kWh, it will cost Rs. 30 to heat a tank of water for 80 minutes using a 3000 W immersion heater.
Cost of electricity:Hours Used Per Day: Indicate the average number of hours per day that the device is used. If the daily power usage is less than one hour, enter the number as a decimal. (For instance, 30 minutes a day equals 0.5)
Your home's water is heated by a water heater so that you can have hot water for your everyday needs. Modern, more efficient kinds of electric water heaters may only need to operate for two hours every day instead of the standard three hours. Around 4000 watts are typically required for a water heater.
Cost Per Hour: (3000*100*60)/(80*3600)
Cost Per Hour: 30.
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Correct Question:
Calculate the cost of heating a tank of water with a 3000 W immersion heater for 80 minutes if electricity costs 10 cents per kWh.
a stone tumbles into a mine shaft and strikes bottom after falling for 4.2 seconds. how deep is the mine shaft
The mine shaft has been found to be exactly about 84 m deep.
How deep is it?Let us know that in this case, we have to look at the equation of the motion that is taking place under gravity. This is because, we we can see, the shaft that we have would appear to have been falling freely under the influence of the force of gravity.
We have;
h = ut + 1/2gt^2
h = height
u = initial velocity
g = acceleration due to gravity
t = time taken
Given that u = 0 m/s
h = 1/2gt^2
h = 0.5 * 9.8 * 4.2^2
h = 84 m
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Ahmed is making jelly. He needs the jelly to set in time for his party. He has two dishes that he can use to cool the jelly in. Dish A has a width of 30cm and a length of 45cm. Dish B has a width of 15cm and a length of 40cm. To get his jelly cooled faster which dish should Ahmed use?
Ahmed should use Dish A because it has greater exposed surface area than Dish B, hence the hot water vapour from the jelly will evaporate faster and the jelly will cool faster.
What is evaporation?Evaporation is the process through which water gains heat and escape from the liquid surface in form of vapour.
There are three basic factors that affects the rate of evaporation, and they include;
exposed surface area of the containertemperaturewindThe greater the exposed surface area of the container, the greater the rate of evaporation.
The exposed surface area of Dish A is calculated as;
A = 30 cm x 45 cm
A = 1,350 cm²
The exposed surface area of Dish B is calculated as;
B = 15 cm x 40 cm
B = 600 cm²
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Explain why an 80,000 pound big rig traveling 2 mph has the same momentum as a 4,000 pound sport utility vehicle (suv) traveling 40 mph.
Answer:
Below
Explanation:
Momentum = m * v
80 000 *2 = 4000 *40
160 000 = 160 000 they have the same momentum
Dave and Amy are having a cup of tea. Amy suggests blowing on the tea to cool it down. Dave doesn't think this will work. Who is right?
Amy is right in saying that blowing the tea will cool it down.
How does blowing on tea help to cool it down?When you blow on a hot liquid, such as tea, the air you blow over the surface of the liquid carries away some of the heat energy from the liquid. This causes the liquid to cool down. The cooling effect is greater the greater the difference in temperature between the liquid and the air.
Blowing on a hot object cools it down by increasing the rate of heat transfer from the object to the surrounding air. Heat is transferred from a hotter object to a cooler one through conduction, convection, and radiation. When you blow on a hot object, the air you blow over the surface of the object carries away some of the heat energy from the object through the process of convection.
So, blowing on the tea will help cool it down faster which means Amy is correct in suggesting that blowing on the tea can help cool it down.
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An inactive student wants to become more physically active but does not think he has the time. What is the most effective thing he can do to start making physical fitness a priority?
The most effective way for an inactive student to become more physically active is to make a schedule and stick to it. This can involve setting aside specific times for exercise each day.
How can one be physically active?Starting with small goals and gradually increasing the duration and intensity of their physical activity can also be helpful. Including physical activity into their daily routine like taking the stairs instead of the elevator or going for a walk during lunch, can make it easier to fit exercise into their busy schedule.
Why is physical fitness important?Physical fitness is important for a number of reasons like improved Health, better mental health, increased energy, improved sleep and better brain functioning.
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A block with the mass of 14.26kg is on a ramp with an incline of 41 degrees. If the block is stationary, what is the minimum value of the coefficient of static friction? [Please explain to me how you did it, I'm giving you 100 points lol].
The minimum value of the coefficient of static friction is 0.87.
What is the minimum value of the coefficient of static friction?
The minimum value of the coefficient of static friction is calculated by applying the formula for Newton's second law of motion as shown below.
Mathematically, the formula for Newton's second law of motion is given as;
F (net) = ma
Wsin (θ) - μW cos (θ) = ma
Where;
W is the weight of the blockθ is the angle of inclination of the blockm is the mass of the blocka is the acceleration of the blockμ is the coefficient of frictionWsin (θ) - μW cos (θ) = ma
mgsin (θ) - μmg cos (θ) = ma
gsin (θ) - μg cos (θ) = a
If the block is stationary, then acceleration of the block = 0
gsin (θ) - μg cos (θ) = 0
μgcos (θ) = gsin (θ)
μ = gsin (θ) / gcos (θ)
μ = sin (θ) / cos (θ)
μ = tan (θ)
The minimum value of the coefficient of static friction is calculated as;
μ = tan (41)
μ = 0.87
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Determine the acceleration of a soccer ball if a footballer may strike a ball of mass 500g with a force of 200 N
The acceleration of the soccer ball is determined as 400 m/s².
What is the acceleration of the soccer ball?
The acceleration of the soccer ball is calculated by applying Newton's second law of motion as follows;
Mathematically, the formula for Newton's second law of motion is given as;
F = ma
where;
m is the mass of the object in kga is the acceleration of the object is m/s²The acceleration of the soccer ball is calculated as;
a = ( F ) / ( m )
a = ( 200 N ) / ( 0.5 kg )
a = 400 m/s²
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Which of the following best defines the scientific methodA. It is a way of allowing people to make assumptions about the world.B. It is a system of that only scientist can use inside the laboratory.C. It is a series of organized steps that one can use to answer a question or solve a problem.D. It is a process through which scientist can turn their observations into facts
Answer: The correct answer is C. It is a series of organized steps that one can use to answer a question or solve a problem
Explanation: The scientific method is a system of gathering and analyzing data that is used to answer questions and form theories. It includes steps such as formulating hypotheses, conducting experiments, collecting data, analyzing data, and forming conclusions. It is a useful tool for scientists to investigate and understand the world around them.
15. Go back and click on Transition Metals (left bar) and answer these questions. a. How many elements are in this group? _____________ b. What are the group numbers? ___________ through ___________ c. Name the three elements in this family that produce a magnetic field. ________________________, _________________________, and __________________________.
The answers include the following below:
There are 38 elements which are in this group of transition metals.The elements in groups 3-12 are called the transition metals.The three elements in this family that produce a magnetic field are Iron, cobalt and nickel.What is a Transition metal?These are elements that have partially filled d orbitals and occupy a central block in the periodic table.They have high melting points and boiling points and are good conductors of heat and electricity.
There are thirty eight elements in this group and only three is able to produce a magnetic field and they include iron, nickel and cobalt.
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How do you find the magnitude of the electric field at the origin?
In order to find the magnitude of the electric field at the origin, you need to use the equation E = q/4πεr², where q is the charge, ε is the permittivity of space, and r is the distance from the origin.
To calculate the electric field, you must first determine the charge of the particle, then determine the distance to the origin, and finally, use the equation to calculate the magnitude of the electric field.
Once you have the magnitude of the electric field at the origin, you can then use it to explore the behavior of other electric fields in the area.
To calculate the magnitude, you must first determine the values of k, q, and r, then plug them into the equation and solve. The resulting answer will be the magnitude of the electric field at the origin.
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The acceleration y, in meters per second squared, of an object after x seconds is given by y =. During the first 10 seconds, over which intervals is the acceleration increasing? (2, 6) (4, 8) (0, 2) and (6, 10) (0, 4) and (8, 10).
At interval (0, 2) and (6, 10), the acceleration will be increasing.
Acceleration is the rate of change of velocity with respect to time.
Also it can be defined as the maximum capacity of a vehicle to gain speed.Its SI unit is m/sec².It can be calculated by using the three equations of motion.The acceleration is given by y = 7*sin( x*[tex]\pi[/tex]/4).
to find at which interval the acceleration is increasing,
First, let's study about the sin function:
Sin(θ) increases between -[tex]\pi[/tex]/2 and [tex]\pi[/tex]/2
Sin(θ) decreases between [tex]\pi[/tex]/2 and (3/2)*[tex]\pi[/tex].
Here we have:
θ = x*([tex]\pi[/tex]/2)
When x = 0, θ = 0.
And sin(θ) is increasing in θ = 0.
Then we must choose one of the options that start with x = 0.
now it will stop increasing when:
θ = [tex]\pi[/tex]/2 = x*([tex]\pi[/tex]/4)
x = 2.
So the acceleration is increasing in the segment (0,2)
And it will start increase again when:
θ = (3/2)*[tex]\pi[/tex] = x*([tex]\pi[/tex]/4)
(3/2)*[tex]\pi[/tex]*(4/[tex]\pi[/tex]) = 6 = x.
So at x= 6 the acceleration starts increasing again, and the acceleration is only defined until x = 10,
Therefore
the correct option is: (0, 2) and (6, 10)
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5. A bullet accelerates at 5.8 x 10 m/s from rest as it travels the 0.80 m of the
rifle barrel.
a
How long was the bullet in the barrel?
b. What velocity does the bullet have as it leaves the barrel?
Answer:
Below
Explanation:
d = 1/2 a t^2
.80 = 1/2 ( 5.8 x 10^?) t^2
( I think you left off the exponent...and acceleration has units m/s^2 ...not m/s)
t = .166 s
v = at = 58 x .166= 9.63 m/s
1. What is the total energy of all of the particles?
in an object called?
A. chemical energy
B. thermal energy
C. potential energy
D. nuclear energy
A cook holds a 2.00 kg carton of milk at arms length. What force must exerted by biceps muscle? ( ignore the weight of the forearm).
The force exerted by the biceps muscle would be equal to the weight of the carton of milk, which is 2.00 kg or 19.6 Newtons of force.
What is the force?
Force is an action that can cause an object to move, stop, or change its direction or shape. It is defined as a vector quantity, meaning it has both magnitude and direction. Forces can be either contact forces, like pushing or pulling, or forces at a distance, such as gravity, electricity, or magnetism.
Assuming the arm is straight out from the body and the length of the arm is 30 cm, the force exerted by the biceps muscle would be approximately 20 Newtons.
In this case, the force is equal to the weight of the carton of milk (2.00 kg) multiplied by the acceleration due to gravity (9.8 m/s2). This gives a force of 19.6 Newtons. Multiplying this force by the length of the arm (30 cm) gives a torque of 588 Nm.
Assuming the biceps muscle can generate a maximum torque of 600 Nm, the force it must exert to hold the carton of milk at arm's length would be 19.6 N x (600 Nm / 588 Nm) = 20 N.
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From 0-3 seconds Is the object
1) From 0 to 3sec , the object is a)increasing in speed ; 2) From 3 - 6 sec, object is c) neither ; 3) From 6 - 10 sec, object is b) decreasing in speed.
What is speed and acceleration?Speed is the distance covered in an unit of time whereas acceleration is the rate of change of the speed. The unit of speed is meters per second (m/s) and that of acceleration is meters per second squared. Speed is a scalar quantity but acceleration is a vector quantity.
Speed is defined as the rate of change of distance. Velocity is the rate of change of displacement (change of distance in particular direction with respect to time) and acceleration is rate of change of velocity per unit time.
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Compare the amplitude of these waves. (2 points)
A
B
C
D
E
Amplitude cannot be determined for waves
Amplitude is roughly the same for all 5 waves
Amplitude is decreasing from A to E
Amplitude is increasing from A to E
D) Amplitude is increasing from A to E. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. As we move from wave A to wave E, the maximum displacement of the wave increases, indicating that the amplitude is increasing.
What is equilibrium position?Equilibrium position is a state of balance in which the forces acting on an object are equal and opposite, resulting in no net force and no acceleration. This means that the object is not moving and is in a stable position. In physics, equilibrium is a state of balance between two or more forces, such as gravity, friction, and tension. When an object is in equilibrium, the sum of all forces acting on it is zero. Examples of equilibrium positions include a book resting on a table, a ball suspended in mid-air, and a person standing still.
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A child of mass 40kg jumps off a wall and hits the ground at 4m\s.he bends his knees and stops in 1s.calculate the force required to slow him down.how would this force be different if he didn't bend his knees and stopped in 0.1s?
Answer:
F
=
m
Δ
v
t
force = mass * change in velocity / time
at
1
s:
mass:
40
kg
change in velocity (taking downwards as a positive direction):
4
m/s to rest
=
4
−
0
=
4
m/s
time:
1
s
m
Δ
v
t
=
160
1
=
160
force applied
=
160
N
at
0.1
s:
m
Δ
v
t
=
160
0.1
=
1600
force applied =
1600
N
Does anyone know what car model this is? i needa answer asap please help. It was in a IIHS car crash test i think. need this question done for physics.
Answer:
Lincoln town car (luxury Ford car)
used commonly for taxi/limos
like around 1995
edmunds
Define compressibility. Write it's SI unit
In engineering field and the Physics of elasticity, compressibility is the inverse of bulk modulus
What is Compressibility ?Compressibility in a lay man language can be refer to the application of pressure on an object in order to reduce the size of the object.
But in the field of engineering, compressibility can simply be define as a reciprocal of bulk modulus of an elastic material.
Bulk Modulus = Force / Area in which the S.I unit will be N/m²
Since compressibility is the inverse of bulk modulus, its S.I unit will be reciprocal of the bulk modulus unit. That is,
m²/N which is also known as Byjus
Therefore, the S.I unit of compressibility is Byjus
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An inductor and a resistor are connected in a simple series circuit. If the inductance increases, the current in the circuit
a. Does not change.
b. Decreases.
c. Increases.
An inductor and a resistor are connected in a simple series circuit. If the inductance increases, the current in the circuit decreases. The correct answer is b.
An inductor is a passive component that stores energy in a magnetic field when electric current flows through it. In a series circuit, the current flows through both the inductor and the resistor. When the inductance of the inductor increases, the opposition to the current flowing through it also increases, known as inductive reactance. This results in a decrease in the current flowing through the circuit, as more energy is being stored in the magnetic field of the inductor and less is available to flow through the resistor.
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In trial 1 of an experiment, a cart moves with speed v0 on a frictionless, horizontal track and collides elastically with another cart that is initially at rest. In trial 2, the setup is identical except that the carts stick together during the collision. How does the speed of the two-cart system’s center of mass change, if at all, during the collision in each trial?answer choicesTrial 1: Does not changeTrial 2: Does not changeTrial 1: Does not changeTrial 2: DecreasesTrial 1: DecreasesTrial 2: Does not changeTrial 1: DecreasesTrial 2: Decreases
The speed of the two-cart system’s center of mass during the collision in Trial 1: Does not change, and in Trial 2: Decreases.
In Trial 1 of the experiment, the carts collide elastically and the speed of the two-cart system's center of mass does not change during the collision. In Trial 2, the carts stick together and the collision is inelastic. Some of the kinetic energy is converted into internal energy, resulting in a decrease in kinetic energy and the speed of the center of mass. In conclusion, the speed of the center of mass does not change during the collision in Trial 1, but, decreases in Trial 2 as a result of a decrease in the kinetic energy.
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Which of the following is a disadvantage of renewable energy?a) High pollutionb) Available only in few placesc) High running costd) Unreliable supply
Answer:
Aaaasaasaaaaaaaaaaaaaaaaaaaaaaaaa
A force of 57. 1 newtons is applied for 0. 977 meters; what work was done on the object?.
Answer:
55.8 J
Explanation:
W = Fd = (57.1 N)(0.977 m) = 55.8 J
What is difference between EV and HEV PHEV?
EVs lack an internal combustion engine, also confusingly referred to as BEVs (battery electric vehicles), which transform gasoline into propulsion power.
Instead, they only use the power from one or more sizable batteries to operate. When it comes to EVs, hybrids were the first significant market entrant, especially after the Prius' international launch in the early 2000s. These cars mastered the technique of alternating between an internal combustion engine and an electric motor to increase fuel efficiency. A plug-in hybrid electric vehicle (PHEV) is designed to run on both gas and battery power and is essentially a hybrid of an EV and an HEV. The main distinction is that they are more EV-like because the power is provided via plug-in chargers.
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How can a protective device minimize the magnitude of the net
force acting on an egg in a cart during a collision?
This reduces the force of the impact on the egg, limiting the amount of damage it receives.
What is force ?
Force is an influence that can cause a change in the motion, direction, or shape of an object. It is a vector quantity, meaning it has both magnitude and direction. Forces are a result of interactions between objects, and can either be a push or a pull.
Force can cause an object to accelerate, decelerate, or remain in its current state of motion. Examples of forces include gravity, friction, electromagnetism, and the normal force. Force is measured in units of Newtons (N).
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Use the concepts of work and energy to solve the following: You are in first place in Mario Kart at the moment. Your 5.0 kg Mario Kart is moving at 5.5 m/s when you see an oil spill 10 m ahead. If your maximum braking force is 7.0 N, will you stop before you hit the oil spill? What is your braking distance?
You will not stop before you hit the spill.
Your braking distance is 10.8 m.
What is the minimum distance you can travel?
The minimum distance you can travel at the maximum braking force is calculated as follows;
Apply the principle of work energy theorem as follows;
K.E = W
¹/₂mv² = Fd
where;
m is the mass of the Kartv is the speed of the KartF is the maximum braking forced is the minimum distance travelled¹/₂(5)(5.5)² = 7d
75.625 = 7d
d = 75.625 / 7
d = 10.8 m
Hence, you will hit the spill since 10.8 m is greater than 10 m.
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How do astronomers find asteroids heading toward Earth?
Astronomers use a variety of techniques to find asteroids that may be on a collision course with Earth. Some of them are by using optical telescopes and infrared telescopes, and radio telescopes. Once an asteroid is detected, astronomers use its position and velocity data to calculate its orbit and determine if it poses a threat to Earth.
Optical telescopes are equipped with cameras that can take images of a large area of the sky at once. The images are then compared over time to identify asteroids that are moving in relation to the stars.
Infrared telescopes are useful for finding asteroids that are in the inner solar system, where they are closer to the sun and therefore warmer. This is particularly useful for finding asteroids that are difficult to detect using traditional optical telescopes, as many asteroids are dark and therefore do not reflect much light.
Radio telescopes involve bouncing radar waves off asteroids and measuring the time it takes for the waves to return. By analyzing the radar data, astronomers can determine the asteroid's distance and speed, as well as its size and shape.
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Please answer by 8:00!!! Thank you so much!
A
good examples of a moist passageway that does oxygen exchange are your throat, heart, and nostrils. (simplified answer)