The acceleration of moon with respect to earth is 0⋅0027 m s⁻² and the acceleration of an apple falling on earth' surface is about 10 m s⁻². Assume that the radius of the moon is one fourth of the earth's radius. If the moon is stopped for an instant and then released, it will fall towards the earth. The initial acceleration of the moon towards the earth will be
(a) 10 m s⁻²
(b) 0⋅0027 m s⁻²
(c) 6⋅4 m s⁻²
(d) 5⋅0 m s⁻².

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Solution

(b) 0⋅0027 m s⁻²

We know that the distance of the Moon from the Earth is about 60 times the radius of the earth. So, acceleration due to gravity at that distance is 0.0027 m/s². When the Moon is stopped for an instant and then released, it will fall towards the Earth with an initial acceleration of 0.0027 m/s².

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