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Chapter 4: Problem 6

A barefoot astronaut kicks a ball, hard, across a space station. Does the ball's apparent weightlessness mean the astronaut's toes don't hurt? Explain.

Short Answer

Expert verified
No, the ball's apparent weightlessness doesn't mean the astronaut's toes do not hurt when kicking the ball. The force exerted on the ball by the astronaut's foot also applies to the foot in an equal and opposite manner due to Newton's third law of motion. Therefore, irrespective of the ball's weightlessness, the force exerted can still cause pain in the astronaut's toes.

Step by step solution

01

Define Concepts

Firstly, it's vital to understand the concepts involved in the problem. Concept 1: Newton's Third Law of Motion, which implies that for every action, there is an equal and opposite reaction. Concept 2: The sensation of weightlessness, which occurs because objects in free-fall in space do not feel the force of gravity acting upon them.
02

Determine the Influence of Weightlessness

Secondly, extract from the understanding of weightlessness that its non-existence in space doesn't affect the force applied to an object. This confirms that the weight or weightlessness of the ball doesn't influence the force exerted by the astronaut's foot on the ball.
03

Apply Newton's Third Law of Motion

Lastly, consider Newton's Third Law of Motion. For the astronaut to kick the ball, the foot applies a certain amount of force. This same amount of force is experienced by the foot as well - as an equal and opposite reaction.

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