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Question: For the earth escape velocity is 11.2 km/s. What will be the escape velocity of that planet whose ma...

For the earth escape velocity is 11.2 km/s. What will be the escape velocity of that planet whose mass and radius are four times those of earth ?

A

11.2 km/s

B

44.8 km/s

C

2.8 km/s

D

0.7 km/s

Answer

11.2 km/s

Explanation

Solution

ve = 2GMpRp\sqrt { \frac { 2 \mathrm { GM } _ { \mathrm { p } } } { \mathrm { R } _ { \mathrm { p } } } }

4×14\sqrt { 4 \times \frac { 1 } { 4 } } = 1

or vp = ve = 11.2 km/s