At what height from the surface of earth the gravitation potential and the value of g are −5.4×107Jkg−2 and 6.0ms−2 respectively? Take the radius of earth as 6400km.

2600km

1600km

1400km

2000km

A

1600km

B

1400km

C

2600km

D

2000km

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Solution

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V=−GMR+h=−5.4×107 ....... (1)

g=GM(R+h)2=6 ...... (2)

Dividing the two equations, we get:

⇒5.4×107(R+h)=6

⇒R+h=9000km

⇒h=2600km

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