A particle is projected with velocity k v e in vertically upward direction from the ground into the space ( v e is escape velocity & k 1 ) then the maximum height from the centre of earth to which it can go, will be

Question

A particle is projected with velocity k v e in vertically upward direction from the ground into the space ( v e is escape velocity & k 1 ) then the maximum height from the centre of earth to which it can go, will be, R k 2 + 1, R k 2 – 1, R 1 – k 2, R k + 1

MARKS App · Accepted Answer

Total energy of surface = Total energy at h height ⇒ 1 2 m k v e 2 + – G M m R = U + – G M m R + h ⇒ h = R k 2 1 – k 2 From the centre r = R + h = R 1 – k 2

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