A bullet is fired vertically upwards with velocity from the surface of a spherical planet

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

A bullet is fired vertically upwards with velocity

v

from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is

1/4

of its value at the surface of the planet. If the escape velocity from the planet is

v_{\text{esc}} = v\sqrt{N}

, then the value of

N

is (ignore energy loss due to atmosphere).