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. The initial acceleration of the moon towards the earth will be

1. 10 m s^–2

2. 0.0027 m s^–2

3. 6.4 m s^–2

4. 5.0 m s^–2

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.

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

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. 2^1/3W at the planet

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. \(\frac 14\)\(mgR\)

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

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:

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:

Take the effect of bulging of earth and its rotation in account. Consider the following statements:

The time period of an earth satellite in circular orbit is independent of: