The acceleration due to gravity on the planet A is 8 times the acceleration due to gravity on the planet B. A man jumps to a height of 2.5 m on the surface of A. What is the height of jump by the same person on the planet B ?

Options

A. 12 m
B. 16 m
C. 20 m
D. 24 m

Answer

C

Explanation

Suppose that the man jumps with the same initial velocity (u) on both the planets.
`because u^(2)=2gh " " therefore h=(u^(2))/(2g)`
`therefore (h_(A))/(h_(B))=(u^(2))/(2g_(A))xx(2g_(B))/(u^(2))=(g_(B))/(g_(A))`
But `h_(A)=2.5 m` and `g_(A)=8g_(B)`
`therefore h_(B)=8xx1.5=20 m`