Escape velocity of a body of 1 kg. On a planet is 100 `ms^(-1)`. Gravitational potential energy of the body at the planet is `.........`

Options

A. `-5000` J
B. `-1000 J `
C. `-2400 J `
D. 4000 J

Answer

A

Explanation

`v_(e) = sqrt((2Gm)/(R)) rArr (100)^(2) = (2GM)/(R) rArr(GM)/R = 5000`
` :. P.E ., U = -(GMm)/2 =-5000 J `