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Solved: A ball tossed upward will return to the same point

Chapter 3, Problem 73TAE

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QUESTION:

A ball tossed upward will return to the same point with the same initial speed when air resistance is negligible. When air resistance is not negligible, how does the return speed compare with its initial speed?

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QUESTION:

A ball tossed upward will return to the same point with the same initial speed when air resistance is negligible. When air resistance is not negligible, how does the return speed compare with its initial speed?

ANSWER:

Step 1 of 2

In order to compare the return speed of the ball with its initial speed when the air resistance is negligible, we need to understand the effect of air resistance on the ball.

When a ball is tossed into the air, air molecules exert a drag force against the motion of the ball. This drag force tends to pull the ball back due to which the velocity of the ball decreases. The effect of drag force due to the air on the ball works as kinetic friction which degrades the kinetic energy of the ball.

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