# The acceleration of the moon just before it strikes the earth in the previous question is: 1. 10 m s–2 2. 0.0027 m s–2 3. 6.4 m s–2 4. 5.0 m s–2 Previous question: The acceleration of the moon with respect to earth is 0.0027 m/s–2 and the acceleration of an apple falling on earth's surface is about 10 m/s–2. Assume that the radius of the moon is one-fourth of the earth's radius. If the moon is stopped for an instant and then released, it will fall towards the earth.

Subtopic:  Acceleration due to Gravity |
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Suppose, the acceleration due to gravity at the earth's surface is 10 m s–2 and at the surface of Mars, it is 4.0 m s-2. A 60 kg passenger goes from the earth to Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky. Which part of the figure best represents the weight (net gravitational force) of the passenger as a function of time.

1. A

2. B

3. C

4. D

Subtopic:  Acceleration due to Gravity |
64%
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Consider a planet in some solar system that has a mass double the mass of the earth and density equal to the average density of the earth. An object weighing W on the earth will weigh

1. W

2. 2W

3. W/2

4. 21/3W at the planet

Subtopic:  Acceleration due to Gravity |
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If the acceleration due to gravity at the surface of earth is $$g,$$ the work done in slowly lifting a body of mass $$m$$ from the earth's surface to a height $$R$$ equal to the radius of the earth is:
1. $$\frac 12$$$$mgR$$
2. $$2mgR$$
3. $$mgR$$
4. $$\frac 14$$$$mgR$$

Subtopic:  Gravitational Potential Energy |
72%
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A person brings a mass of 1 kg from infinity to a point A. Initially, the mass was at rest but it moves at a speed of 2 m s–1 as it reaches A. The work done by the person on the mass is –3 J. The potential at A is:

1. –3 J/kg–1

2. –2 J/kg–1

3. –5 J/kg–1

4. none of these

Subtopic:  Gravitational Potential Energy |
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Let $$V$$ and $$E$$ be the gravitational potential and gravitational field at a distance $$r$$ from the centre of a uniform spherical shell. Consider the following two statements:

 (A) The plot of $$V$$ against $$r$$ is discontinuous. (B) The plot of $$E$$ against $$r$$ is discontinuous.

 1 Both (A) and (B) are correct. 2 (A) is correct but (B) is wrong. 3 (B) is correct but (A) is wrong. 4 Both (A) and (B) are wrong.
Subtopic:  Gravitational Field |
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Let V and E represent the gravitational potential and field at a distance r from the centre of a uniform solid sphere. Consider the two statements:

 (A): The plot of V against r is discontinuous. (B): The plot of E against r is discontinuous.

 1 Both A and B are correct 2 A is correct but B is wrong 3 B is correct but A is wrong 4 Both A and B are wrong
Subtopic:  Gravitational Field |
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Take the effect of bulging of earth and its rotation in account. Consider the following statements:

 Statement I: There are points outside the earth where the value of g is equal to its value at the equator. Statement II: There are points outside the earth where the values of g is equal to its value at the poles.

 1 Both Statement I and Statement II are correct 2 Statement I is correct but Statement II is wrong 3 Statement II is correct but Statement I is wrong 4 Both Statement I and Statement II are wrong

Subtopic:  Acceleration due to Gravity |
50%
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The time period of an earth satellite in circular orbit is independent of:

 1 the mass of the satellite 2 radius of the orbit 3 none of them 4 both of them
Subtopic:  Satellite |
78%
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The magnitude of gravitational potential energy of the moon-earth system is U with zero potential energy at infinite separation. The kinetic energy of the moon with respect to the earth is K.

1. U < K

2. U > K

3. U = K

4.

Subtopic:  Gravitational Potential Energy |
52%
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