Q. The acceleration due to gravity on a planet is $1.96\ ms^{- 2}$. If it is safe to jump from a height of 3 m on the earth, the corresponding height on the planet will be
A) 3 m
B) 6 m
C) 9 m
D) 15 m
Explanation
(d) A person is safe, if his velocity while reaching the surface of moon from a height $h'$ is equal to its velocity while falling from height $h$ on earth. So
$\sqrt{2g^{'}h'} = \sqrt{2gh}$
or $h^{'} = gh/g^{'} = 9.8 \times 3/1.96 = 15m$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.