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Chapter 8: Problem 78

A ball is dropped from a spacecraft revolving around the earth at a height of \(120 \mathrm{~km}\). What will happen to the ball (a) It will continue to move with velocity \(v\) along the original orbit of spacecraft (b) If will move with the same speed tangentially to the spacecraft (c) It will fall down to the earth gradually (d) It will go very far in the space

Short Answer

Expert verified
(a) It will continue to move with velocity \(v\) along the original orbit of spacecraft

Step by step solution

01

Understand the behaviour of objects in space.

Unlike on earth, objects in space continue to move at the same speed and direction when released from a moving object. This is because there is no air resistance or friction to slow them down.
02

Analyze the effect of earth's gravity.

The ball is affected by earth's gravity. However, since the spacecraft is moving at a considerable height (120 km), we should consider that the ball and spacecraft are in a state of free fall around the earth, experiencing zero gravity.
03

Determine the ball's trajectory.

Given the ball's continued motion (same as the spacecraft's), and the influence of gravity, the ball will continue to revolve around the earth along the original orbit of the spacecraft.

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