If 'd' is the distance between the centers of the earth of mass M1 and moon of mass M2, then the velocity with which a body should be projected from the mid point of the line joining the earth and the moon, so that it just escapes is :
√G(M1+M2)d
√G(M1+M2)2d
√2G(M1+M2)d
√4G(M1+M2)d
A
√2G(M1+M2)d
B
√G(M1+M2)d
C
√G(M1+M2)2d
D
√4G(M1+M2)d
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Solution
Verified by Toppr
Using law of
conservation of energy
Kinetic energy minimum
=− potential
PE at mid point
=−2GMmd(M1+M2)
=12mV2e=2Gmd(M1+M2)
⇒Ve=√4G(M1+M2)d
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