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If the acceleration due to gravity at th...

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

A

`mgR//2`

B

`2mgR`

C

`mgR`

D

`mgR//4`

Text Solution

Verified by Experts

The correct Answer is:
A
`U_(1)=-(GMm)/R=-mgR`
`U_(2)=-(GMm)/(R+R)=-(mgR)/2`
`W_(2to2)=U_(2)-U_(1)=(mgR)/2`
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CP SINGH-GRAVITATION-EXERCISE
  1. The radius of the earthR and acceleration due to gravity at its surfac...

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  2. In the previous problem, the minimum speed with which the body must be...

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  3. If the acceleration due to gravity at the surface of the earth is g, t...

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  4. A small mass m is moved slowly from the surface of the earth to a heig...

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  5. A particle is projected vertically upwards with a velocity sqrt(gR), w...

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  6. A projectile is projectile with velocity kv(e) in vertically upward di...

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  7. An asteroid of mass m is approaching earth, initially at a distance 10...

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  8. The gravitational force between two objects is proportional to 1//R (a...

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  9. Suppose the gravitational force varies inversely as the nth power of d...

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  10. The distance of two satellites from the surface of the earth R and 7R....

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  11. A satellite is launched into a circular orbit of radius R around the e...

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  12. Two small satellies move in a circular orbits around the earth, at dis...

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  13. The period of a satellite moving in a circular orbit near the surface ...

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  14. The mean radius of the earth is R, its angular speed on its own axis i...

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  15. Two satellites of earth S(1) and S(2) are moving in the same orbit. Th...

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  16. If a satellite orbits as close to the earth's surface as possible,

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  17. In a satellite if the time of revolution is T, then kinetic energy is ...

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  18. To an astronaut is a spcaceship, the sky appears

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  19. A person sitting in a chair in a satellite feels weightless because

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  20. An astronaut orbiting the earth in a circular orbit 120km above the su...

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