Question

Answer me fast plz.....solve it....​

Answer 1

Let the mass and radius of Mars be m and r respectively.

According to the Question,

• Mass of Earth would be : 9m
• Radius of Earth would be : 2r
• Escape Velocity of Earth is 11.2 Km/h

A generalized expression for escape velocity is,

$\sf \: v = \sqrt{\dfrac{GM}{R} }$

For Mars,

$\sf \: v_m = v = \sqrt{ \dfrac{Gm}{r} }$

For Earth,

$\sf \: 11.2 = \sqrt{ \dfrac{9Gm}{2r} }$

Dividing both the equations, we get :

$\sf \: \dfrac{v}{11.2} = \frac{ \sqrt{ \dfrac{Gm}{r} }}{ \sqrt{ \dfrac{9Gm}{2r} }} \\ \\ \implies \sf \: \dfrac{v}{11.2} = \sqrt{ \dfrac{2}{9} } \\ \\ \implies \sf \: v = 11.2 \times \sqrt{0.22} \\ \\ \implies \sf \: v = 0.46 \times 11.2 \\ \\ \implies \boxed{ \boxed{ \sf v_m \: = 5.25 \: kmh {}^{ - 1} }}$

Escape Velocity on Mars is 5.3 Km/h