The mass and radius of earth is Me and Re respectively and that of moon is Mm, and Rm respectively. The distance between the centre of earth and that of moon is 'D'. The minimum speed required for a body (mass 'm') to project from a point midway between their centers to escape to infinity is: - VgyanHub

Question:

The mass and radius of earth is M_e and R_e respectively and that of moon is M_m, and R_m respectively. The distance between the centre of earth and that of moon is ‘D’. The minimum speed required for a body (mass ‘m’) to project from a point midway between their centers to escape to infinity is:

Options :

(a) √Me+Mm/D
(b) G(Me+Mm)/2D
(c) (GD/Me)^1/2
(d) 2(G(√Me+Mm)/D)

Answer :

(d) 2(G(√M_e+M_m)/D)

Answer Steps :

step 1

step 2

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