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Effect of the earth's spin on weight at the equator

This type of question, asked 2 times: 2021 Paper 2, 2021 Paper 10. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 2

    11
    A body weighs 49 N49\text{ }N on a spring balance at the north pole. What will be its weight recorded on the same weighing machine, if it is shifted to the equator? [Use g=GMR2=9.8 ms−2g =\frac{GM}{R^{2}}= 9.8{\text{ }ms}^{- 2} and radius of earth, =6400 km= 6400\text{ }km.]

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  2. Question 2

    2021 Paper 10

    10
    If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately: (Take : g=10 ms−2g = 10{\text{ }ms}^{- 2}, the radius of earth, R=6400×103 mR = 6400 \times10^{3}\text{ }m, Take π=3.14\pi= 3.14 )

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