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] $
