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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
The astronaut's toes can certainly hurt after kicking the ball. The ball's apparent weightlessness does not prevent the astronaut's foot from feeling the force exerted by the foot on the ball, thanks to Newton's third law of motion.

Step by step solution

01

Understanding Newton's Third Law of Motion

Newton's third law of motion states: For every action, there is an equal and opposite reaction. This means that any force exerted on a body will create a force of equal magnitude but in the opposite direction on the object that exerted the first force.
02

Applying the Law to the Problem

In this case, the astronaut is kicking the ball. There is an exerted force from the astronaut's foot onto the ball. According to Newton's third law, an equal force is applied from the ball back onto the astronaut's foot. This occurrence can cause discomfort or even pain on the astronaut鈥檚 toes regardless of the ball鈥檚 weight.
03

The Effect of Gravity (or lack thereof) on the Scenario

The fact that the ball is weightless in this scenario simply means that there's no gravitational force pulling the ball downwards. It does not negate the force exerted by the astronaut's foot or the force exerted back onto the foot by the ball. Hence, the astronaut would still feel the feedback force against their toes.

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