Question

An Object of mass m is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following?
(a) M
(b) m
(c) the acceleration due to gravity on that planet
(d)R

Answer 1

The escape speed is given by the formula:

$$v_{esc}=\sqrt{\dfrac{2GM}{R}}.$$

As we can see from the formula, the escape speed from the planet does not depend on object's mass $m$. Hence, the correct answer is (b).

Answer:

(b) m