Gravitation in AP Physics C: Mechanics
What is the relationship between gravitational force and mass, as described by the law of gravitation?
Gravitational force is inversely proportional to the mass of the objects.
Gravitational force is directly proportional to the square of the mass of the objects.
Gravitational force is directly proportional to the product of the masses of the objects.
Gravitational force is independent of the mass of the objects.
If both masses of two objects are doubled and the distance between them is also doubled, what happens to the gravitational force between them?
The gravitational force remains the same.
The gravitational force is doubled.
The gravitational force is halved.
The gravitational force is quadrupled.
Calculate the gravitational force between two objects with masses and separated by a distance of .
2.335 x N
2.335 x N
2.335 x N
2.335 x N
How does increasing the mass of the central body affect the orbital velocity of a satellite?
Increasing the mass of the central body decreases the orbital velocity of the satellite.
Increasing the mass of the central body increases the orbital velocity of the satellite.
The mass of the central body has no effect on the orbital velocity of the satellite.
The effect depends on the radius of the orbit.
A satellite orbits Earth (mass ) at a radius of . Calculate its orbital velocity.
3157 m/s
4463 m/s
1994 m/s
6314 m/s
Does the mass of the escaping object affect the escape velocity?
Yes, a more massive object requires a greater escape velocity.
Yes, a less massive object requires a greater escape velocity.
No, the mass of the escaping object does not affect the escape velocity.
The effect depends on the size of the celestial body.
Calculate the escape velocity from the surface of Mars, given its mass and radius .
4900 m/s
5010 m/s
4334 m/s
3450 m/s

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If the radius of an orbit is doubled, by what factor does the period increase?
The period increases by a factor of .
The period increases by a factor of 2.
The period increases by a factor of .
The period increases by a factor of 4.
Describe Kepler's Second Law and provide a scenario where it can be applied.
Kepler's Second Law states that a planet moves slower in its orbit when it is closer to the Sun and faster when it is farther from the Sun. This can be applied to a satellite orbiting Earth.
Kepler's Second Law states that a planet sweeps out equal areas in equal times. This can be applied to a comet in an elliptical orbit around the Sun.
Kepler's Second Law states that the period of a planet's orbit is proportional to the square of the semi-major axis. This can be applied to a satellite orbiting Earth.
Kepler's Second Law states that the gravitational force is inversely proportional to the square of the distance between two objects. This can be applied to a satellite orbiting Earth.
Calculate the total mechanical energy of a satellite in a circular orbit around a planet, given that its kinetic energy is and its potential energy is .
The total energy is .
The total energy is .
The total energy is .
The total energy is .