Question

You find yourself on a planet (Radius = 2.33 x 10⁷m where a 2.00 kg mass has a weight of 32.0 N. What is the escape velocity from this planet ? 

Answer 1

Given:

g(on this planet)= 16 m/s²

R = 2.33 x 10⁷

and we have G = 6.67 × 10-11 Newtons kg-² m² as universal constant,

As we know the value of g on earth is given by

$$g={GM \over R^2}$$

and value of escape velocity on earth is given by

$$V_s =\sqrt{2GM\over R}$$

from both above equation we get

$$V_s =\sqrt{2gR}$$

now in this putting the given values of g and R of other planet we get,

$$V_s =\sqrt{2(16)(2.33\times10^7)}$$

$V_s=2.73\times10^4$ m/s ...............answer