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?
Answer & explanation
Correct answer: option 4
$g_{A}=9 g_{B}, \frac{g_{A}}{g_{B}}=9$
on planet A, In jumping the man goes up to height hA = 2m
∴ PE gained by him is mgA hA
Same amount of work is done by jumping on planet B
∴ P.E. gained by him on planet mgB hB
equating, mgA hA = mgB hB
gA hA = gB hB
$h_{B}=\frac{g_{A}}{g_{B}} h_{A}$ = 9 × 2 = 18 m
$\left[∵ \frac{g_A}{g_B}=9\right]$