Question

39. 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) (2/9) m
(b) 18 m
(c) 6 m
(d) (2/3) m




why can't it be solved using formula H=u^2/2g​

Answer 1

Here is your answer
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(b) I’m going to assume that the question is based on the assumption that the man imparts the same amount of kinetic energy to himself as he jumps.

Here the amount of kinetic energy the man leaves the ground with will be equal to his potential energy at the highest point of the jump. Based on the assumption given above the potential energies at the peak of the jump will be equal on both planets.

Potential energy is given by the formula E = mgh.

m being the man’s mass, g being acceleration due to gravity on planet B, and h being the height of the jump.

As the energy is the same on both planets:

m(9g)h = mg(h2)

where (h2) is the height the man jumps to on planet B.

m is assumed to be the same in both cases so the equation may be simplified to:

9gh=g(h2)

cancelling g from both sides gives

9h = (h2)

given h = 2m

h2 = 9h = 9(2) = 18m.

The answer you’re most likely looking for is 18m.
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Answer 2

i hope this answer will hep you