AP Physics C: Mechanics : Gravity

Study concepts, example questions & explanations for AP Physics C: Mechanics

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Example Questions

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Example Question #1 : Calculating Weight

The force on an object due to gravity on the moon is one-sixth of that found on Earth. What is the acceleration due to gravity on the moon?

Possible Answers:

Correct answer:

Explanation:

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

Example Question #1 : Calculating Weight

A large planet exerts a gravitational force five times stronger than that experienced on the surface of Earth. What is the weight of a 50kg object on this planet?

Possible Answers:

Correct answer:

Explanation:

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply:

Example Question #31 : Forces

A space woman finds herself in an unkown planet with gravity . If her weight on Earth is 500N, what is her weight on the unkown planet?

Possible Answers:

Correct answer:

Explanation:

We know that the weight of an object is given by:

 is the mass of the object and  is the gravitational acceleration of whatever planet the object happens to be on.

We know the gravity on the unkown planet, so the weight of the woman is given by:

We need only to find the mass of the woman to solve the problem. Since the mass of the woman is constant, we can use the information about her weight on Earth to figure out her mass.

Use this mass to solve for her weight on the new planet.

Example Question #101 : Mechanics Exam

If  is the escape velocity from the surface of a planet of mass  and radius . What is the velocity necessary for an object launched from the surface of a planet of the same mass, but with a radius that is , to escape the gravitational pull of this smaller, denser planet?

Possible Answers:

Not enough information

 (the same velocity for both planets)

Correct answer:

Explanation:

Escape velocity is the velocity at which the kinetic energy of an object in motion is equal in magnitude to the gravitational potential energy. This allows us to set two equations equal to each other: the equation for kinetic energy of an object in motion and the equation for gravitational potential energy. Therefore:

In this case,  . Substitute.

Since the radius of the new planet is  or  the radius of the original planet, and they have the same masses, we can equate:

Where  is the escape velocity of the larger planet and  is the escape velocity of the smaller planet.

Example Question #11 : Gravity

A comet is in an elliptical orbit about the Sun, as diagrammed below:

Eliptical orbit

The mass of the comet is very small compared to the mass of the Sun.

 

In the diagram above, how does the net torque on the comet due to the Sun's gravitational force compare at the two marked points?

Possible Answers:

It cannot be determined from the information given

The torque is zero at both a and b

The torque is greater at point a

The torque is greater at point b

The torque is the same at points a and b, but it is not zero

Correct answer:

The torque is zero at both a and b

Explanation:

Since the direction of the gravitational force is directly towards the center of the Sun, it lies in the plane of the comet's orbit. Since torque is , the torque is always zero. That is why the comet's angular momentum is conserved in orbit.

Example Question #11 : Gravity

A satellite of mass  is in an elliptical orbit about the Earth. It's velocity at perigee is  and its orbital radius at perigee is . If the radius at apogee is , what is its velocity at apogee?

Possible Answers:

Correct answer:

Explanation:

Since the gravitational force cannot exert torque on the satellite about the Earth's center, angular momentum is conserved in this orbit:

Example Question #1 : Understanding Orbits

A satellite is in an elliptical orbit about the Earth. If the satellite needs to enter a circular orbit at the apogee of the ellipse, in what direction will it need to accelerate?

Possible Answers:

Opposite the direction of travel

In the direction of travel

Towards Earth

This maneuver cannot be accomplished

Away from Earth

Correct answer:

In the direction of travel

Explanation:

Since the speed of the satellite at apogee is too low for a circular orbit at that orbital radius, the satellite needs to speed up to circularize the orbit.

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