The acceleration due to gravity on the planet `A` is `9` times the acceleration due to gravity on planet `B`. A man jumps to a height of `2m` on the surface of `A`. What is the height of jump by the same person on the planet `B`?

Options

A. 18m
B. 6m
C. 2/3 m
D. 2/9 m

Answer

A

Explanation

`g_A = 9g_B`
`H = (u^2)/(2g) rArr H prop 1/g therefore H_A/H_B = g_B/g_A`
`rArr H_B = 9H_A because H_A = 2m`
`rArr H_B= 18m`