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InterviewSolution
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The weight of a person on a plannet A is about half that on the Earth. He can jump upto 0.4 m height on the surface of the Earth. How high can be jump on the planet A ? |
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Answer» Weight of the person on a planet `A, W_A = mg_A` Weight of the person on Earth, `W_E = mg_E ("as mass of the person is the same on the planet A and the Earth")` We are given that `W_A = (1)/(2)W_E, mg_A = (1)/(2)mg_E or g_A = (1)/(2)g_E` Let `h_A, h_E` be the heights to which the person can jump on the planet A and the Earth respectively. Gain in PE on jumping on planet `A = mg_A h_A` Gain in PE on jumping on Earth ` = mg_E h_E` Since gain in potential energy by the person is the same in both the cases as the muscular effort of the person remains unaffected by the change is planets, `mg_A h_A = mg_E h_E` or `h_A = (g_Eh_E)/(g_A) = (g_E h_E)/((1)/(2)g_E) = 2h_E` As `h_E = 0.4 m, h_A = 2 (0.4 m) = 0.8m` |
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