at what height from surface of earth the gravitational potential and value of g are -5.4*10^5 J kg^-1 and 6.0 m s^-1 respectively. take the radius of earth as 6400 km. (a)1400km (b)2000km (c)2600km (d)1600km
Answer (1)
2nd Apr, 2020
Hello,
Please check the question once. The value of Gravitational Potential might be -5.4 x 10^7 J kg^-2, because the value given by you gives the error.
We know that,
Gravitational Potential, Vp = -G.M / ( R + h )
Hence, -G.M / ( R + h ) = -5.4 x 10^7........... ( 1 )
Also, g = GM / ( R + h )^2
Hence, GM / ( R + h )^2 = 6............... ( 2 )
Dividing ( 1 ) & ( 2 ), we get,
R + h = 9 x 10^6 m
So, 6400 + h = 9000 km
Hence, h = 2600 km.
Best Wishes.
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