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JEE Main 2020 (7 Jan, Shift 2) · Acceleration Due to Gravity

Acceleration Due to Gravity question from JEE Main 2020 (7 Jan, Shift 2)

Q105JEE Main 2020 · 7 JAN · SHIFT 2Medium

Acceleration Due to Gravity

A box weight 196 N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take g = 10 ms–2 at the north pole and the radius of the earth = 6400 km):

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Answer: (c)

Mass $m = \frac{196}{10} = 19.6$ kg; $\omega = \frac{2\pi}{86400} = 7.27 \times 10^{-5}$ rad/s
$\omega^2 R \approx 0.0338$ m/s $^2$ , so $m\omega^2 R = 19.6 \times 0.0338 \approx 0.66$ N
$W_{eq} = 196 - 0.66 \approx 195.3$ N
So the answer is (c) 195.32 N.

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