An object of mass 100 kg falls from point A to B as shown in figure… | NEET 2024

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Acceleration Due to Gravity

An object of mass $100\text{ kg}$ falls from point $A$ to $B$ as shown in figure. The change in its weight, corrected to the nearest integer is ( $R_E$ is the radius of the earth)

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Answer: (a)

$A$ is at height $2R_e$ and $B$ at height $2R_e - \frac{R_e}{2} = 1.5R_e$ ; $g_h = \frac{g}{(1 + h/R_e)^2}$ .
$g_A = \frac{10}{3^2} = 1.11\text{ m s}^{-2}$ , $g_B = \frac{10}{(2.5)^2} = 1.60\text{ m s}^{-2}$
$\Delta W = m(g_B - g_A) = 100 \times 0.49 \approx 49\text{ N}$
So the answer is (a) $49\text{ N}$ .

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