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11. Gravitation
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Q5 of 81 Page 224

If the acceleration due to gravity at the surface of the 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

The work done, is given by


(ANS)

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3

Suppose the acceleration due to gravity at the earth’s surface is 10 ms-2 and at the surface of Mars it is4.0 ms-2. A 60 Kg passenger goes from the earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in sky. Which part of figure (11-Q1) best represents the weight (net gravitational force) of the passenger as a function of time?


4

Consider a planet in some solar system which 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

6

A person brings a mass of 1 kg from the infinity to a point A. Initially the mass was at rest but it moves at a speed of 2ms-1 as it reaches A. The work done by the person on the mass is -3 J. The potential at A is

7

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


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11. Gravitation
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