Given that mass of Earth is M and that of moon is m and distance between them is R. Neglect effect of any other planet or sun. A small mass is projected from midway from Earth and moon its escape velocity is $P \frac{G}{R} (m + M)$ find P.

$\frac{G}{R}$

Question

Given that mass of Earth is M and that of moon is m and distance between them is R. Neglect effect of any other planet or sun. A small mass is projected from midway from Earth and moon its escape velocity is $P \frac{G}{R} (m + M)$ find P.

$\frac{G}{R}$

TestHub · Accepted Answer

∣ PE ∣ = KE ​ ​ ( − R /2 Gm ​ − R /2 GM ​ ) ​ M 1 ​ = 2 1 ​ M 1 ​ V 2 R 4 G ​ ( m + M ) ​ = v ⇒ P = 2 ​

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