Kelvi

At what height from the surface of earth the gravitational potential and the value of g are $-5.4 \times 10^7 kg^{-2}$ and $6.0 ms^{-2},$ respectively? (Take the radius of earth as 6400 km.)

hard

Gravitation

2016

physics

1400 km

2000 km

2600 km

1600 km

Explanation

To solve this problem, we need to use the formulas for gravitational potential and gravitational acceleration at a height $h$ above the Earth's surface. $\\$ Given: $\\$ • Gravitational potential $V = -5.4 \times 10^7 \, \mathrm{J/kg} \\$

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At what height from the surface of earth the gravitational potential and the value of g are −5.4×107kg−2-5.4 \times 10^7 kg^{-2} −5.4×107kg−2 and 6.0ms−2, 6.0 ms^{-2}, 6.0ms−2, respectively? (Take the radius of earth as 6400 km.)

Explanation

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At what height from the surface of earth the gravitational potential and the value of g are $-5.4 \times 10^7 kg^{-2}$ and $6.0 ms^{-2},$ respectively? (Take the radius of earth as 6400 km.)