Question

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 $2\, m$ on the surface of $A.$ What is the height of jump by the same person on the planet $B$.

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

Answer 1

Answer: (D)

The velocity of the mass while reaching the surface of both the planets will be same.
i.e., $\sqrt{2 g^{\prime} h^{\prime}}=\sqrt{2 g h}$
$\sqrt{2 \times g \times h^{\prime}}=\sqrt{2 \times 9 g \times 2}\,\,\, 2 h^{\prime}=36 $
$\Rightarrow h^{\prime}=18 \,m $