Gravitation Question 316

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

Options:

A) $ [\frac{2}{3}m] $

B) $ [\frac{2}{9}m] $

C) 18 m

D) 6 m

Show Answer

Answer:

Correct Answer: C

Solution:

  • Applying conservation of total mechanical energy principle

    $ [\frac{1}{2}mv^{2}=mg_{A}h_{A}=mg_{B}h_{B}] $

    $ [\Rightarrow g_{A}h_{A}=g_{B}h_{B}] $ $ [\Rightarrow h_{B}=\left( \frac{g_{A}}{g_{B}} \right)h_{A}=9\times 2=18m] $



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