The weight of a person on a planet A is about | vedclass

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(D) The weight of a person is given by $W = mg$,where $m$ is the mass and $g$ is the acceleration due to gravity.Since the weight on planet $A$ is hal

Vedclass · Accepted Answer

$0.8$

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(D) The weight of a person is given by $W = mg$,where $m$ is the mass and $g$ is the acceleration due to gravity.Since the weight on planet $A$ is half that on Earth,the acceleration due to gravity on planet $A$ $(g_A)$ is half of that on Earth $(g_E)$,i.e.,$g_A = \frac{1}{2} g_E$.When a person jumps,the work done by their muscles is converted into potential energy $(PE = mgh)$. Assuming the muscular force and work done remain constant,the potential energy at the maximum height is constant.Therefore,$m g_E h_E = m g_A h_A$.Substituting the values: $g_E 	imes 0.4 = (\frac{1}{2} g_E) 	imes h_A$.$0.4 = \frac{1}{2} h_A$.$h_A = 0.4 	imes 2 = 0.8 \, m$.Thus,the person can jump to a height of $0.8 \, m$ on planet $A$.

The weight of a person on a planet $A$ is about half that on the earth. He can jump up to $0.4 \, m$ height on the surface of the earth. How high can he jump on the planet $A$ (in $, m$)?

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