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Question: The escape velocity on earth is 11.2 km/s. On another planet having twice radius and 8 times mass of...

The escape velocity on earth is 11.2 km/s. On another planet having twice radius and 8 times mass of the earth, the escape velocity will be

A

3.7 km/s

B

11.2 km/s

C

22.4 km/s

D

43.2 km/s

Answer

22.4 km/s

Explanation

Solution

vpve=MpMe×RpRe=8×12=2\frac { v _ { p } } { v _ { e } } = \sqrt { \frac { M _ { p } } { M _ { e } } \times \frac { R _ { p } } { R _ { e } } } = \sqrt { 8 \times \frac { 1 } { 2 } } = 2∴vp=2×ve=22.4 km/sv _ { p } = 2 \times v _ { e } = 22.4 \mathrm {~km} / \mathrm { s }