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Free Fall

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Find the dimension of force in terms of density ;acceleration due to gravity g; frequency

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Q. Find the acceleration due to gravity 'g' in terms of mean density of the Earth 'd'. Assume it to be a perfect sphere.

Q. The density of earth in terms of acceleration due to gravity (g), radius of earth (R) and universal gravitational constant (G) is:

Acceleration due to gravity 'g' in terms of mean density of the Earth 'd' and radius 'R' is:

(G is universal gravitational constant)

Q. Force of gravity on a mass of

15

kg on the surface of a planet is

25

N. Find acceleration due to gravity due to this planet.

Q. Assertion :The frequency of a seconds pendulum in an elevator moving up with an
acceleration half the acceleration due to gravity is

0.612 s^{- 1}

Reason :The frequency of a seconds pendulum does not depend upon acceleration due to gravity.

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