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Escape velocity for a projectile at earth`s surface is Ve. A body is projected form earth`s surface with velocity 2Ve. The velocity of the body when it is at infinite distance from the centre of the earth is?

Escape velocity for a projectile at earth`s surface is Ve. A body is projected form earth`s surface with velocity 2Ve. The velocity of the body when it is at infinite distance from the centre of the earth is?

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Grade:12th pass

1 Answers

Vikas TU
14149 Points
7 years ago
0.5m(2Ve)^2 + GMm/R = GMm/r + 0.5m(V)^2
where r is tending to infinity.
2(Ve)^2 + GM/R = V^2/2
we get,
V = root[2(2(Ve)^2 + GM/R))]

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