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JEE Main 2022 (29 Jul, Shift 2) · Gravitational Potential & Energy

Gravitational Potential & Energy question from JEE Main 2022 (29 Jul, Shift 2)

Q15JEE Main 2022 · 29 JUL · SHIFT 2Medium

Gravitational Potential & Energy

An object of mass $1\text{ kg}$ is taken to a height from the surface of earth which is equal to three times the radius of earth. The gain in potential energy of the object will be [If, $g = 10\text{ m s}^{-2}$ and radius of earth $= 6400\text{ km}$ ]

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Answer: (a)

$\Delta U = \frac{mgh}{1+h/R}$ with $h = 3R$ gives $\Delta U = \frac{3}{4}mgR$
$\Delta U = \frac{3}{4} \times 1 \times 10 \times 6.4\times10^{6}$ J
$\Delta U = 4.8\times10^{7}$ J
So the answer is (a) 48 MJ.

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