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Find the change in the gravitational potential energy when a body of mass `m` is raised to a height nR above the surface of the earth. (Here, R is the radius of the earth)

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To find the change in gravitational potential energy when a body of mass \( m \) is raised to a height \( nR \) above the surface of the Earth, we can follow these steps: ### Step 1: Understand Gravitational Potential Energy The gravitational potential energy \( U \) of a mass \( m \) at a distance \( r \) from the center of the Earth is given by the formula: \[ U = -\frac{GMm}{r} \] where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, and \( r \) is the distance from the center of the Earth. ...
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DC PANDEY ENGLISH-GRAVITATION-(C) Chapter Exercises
  1. Find the change in the gravitational potential energy when a body of m...

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  2. Starting from the centre of the earth having radius R, the variation o...

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  3. A satellite of mass m is orbiting the earth (of radius R) at a height ...

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  4. At what height from the surface of earth the gravitation potential and...

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  5. The ratio of escape velocity at earth (V(e)) to the escape velocity at...

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  6. Kepler's third law states that square of period of revolution (T) of a...

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  7. The reading of a spring balance corresponds to 100 N while situated at...

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  8. The gravitational field due to an uniform solid sphere of mass M and r...

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  9. What would be the value of acceleration due to gravity at a point 5 km...

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  10. Two particles of equal mass m go round a circle of radius R under the ...

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  11. What would be the escape velocity from the moon, it the mass of the mo...

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  12. Two spheres of masses 16 kg and 4 kg are separated by a distance 30 m ...

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  13. Orbital velocity of an artificial satellite does not depend upon

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  14. Gravitational potential energy of body of mass m at a height of h abov...

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  15. According to Kepler's law of planetary motion, if T represents time pe...

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  16. If mass of a body is M on the earth surface, then the mass of the same...

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  17. Two spherical bodies of masses m and 5m and radii R and 2R respectivel...

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  18. The force of gravitation is

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  19. Dependence of intensity of gravitational field (E) of earth with dista...

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  20. Keeping the mass of the earth as constant, if its radius is reduced to...

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  21. A body of mass m is raised to a height 10 R from the surface of the ea...

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