Question

In: Mechanical Engineering

calculate the distance d from the center of the earth at which a particle experiences equal...

calculate the distance d from the center of the earth at which a particle experiences equal attractions from the earth and from the moon. The particle is restricted to the line through the centers of the earth and the moon. Justify the two solutions physically.

Solutions

Expert Solution

There are two distances at which the force of attraction on a body due to earth and moon are equal. One is at d1 which falls somewhere between Earth and Moon & other is d2 which is beyond moon. The reason behind these two solutions are.

The force of attraction is proportional to the mass, and we know mass of earth is very high than that of moon. Second reason is force of attraction is inversely proportional to square of distance so more is the distance less is the attraction force.

So d1 is closer to moon, so its Moon's less mass is compensated by the distance and moon develop same force as that of earth and attraction becomes equal.

& d2 is far from Earth so Earth's more mass is compensated by larger value of d2 and force of attraction becomes equal to that produced by moon.

samet mamat answered 2 years ago
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