Question

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.

Answer 1

Towards the earth, the moon accelerates with the speed of 0⋅0027 m/s²

Explanation:

Given data

The acceleration of moon with respect to earth = 0.0027 m/s²

Acceleration of apple falling on earth = 10 m/s²

Radius of the moon = one fourth of the Earth's radius

Find the initial acceleration of the moon toward the Earth

• Before solving this problem, we should know that the distance between the earth and the moon is 60 times the radius of the moon.
• So, due to gravity, the acceleration at the distance is 0⋅0027 m/s².
• If the moon is immobile and then left towards the earth, it will fall with the acceleration of 0.0027 m/s² towards the earth.

Answer 2

Explanation:

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