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Chapter 6: Problem 92

Which of the following is greatest at the peak of the curve? a. the ball's kinetic energy b. the ball's speed c. the rate at which the bat supplies energy to the ball d. the total work the bat has done on the ball

Short Answer

Expert verified
The total work the bat has done on the ball is the greatest at the peak of the curve.

Step by step solution

01

Understand the Concepts

Firstly, realize that kinetic energy is associated with the motion of the ball and will be the greatest when the ball is moving the fastest, which is not at the peak but rather at the moment right after the ball is hit by the bat. Similarly, the ball's speed will also be greatest immediately after being hit by the bat, not at the peak of its path. The rate at which the bat supplies energy to the ball can only occur while the ball is in contact with the bat, and will be zero after that. Hence none of these options will be greatest at the peak of the curve.
02

Calculate Total Work Done

The total work done by the bat on the ball is the total energy transferred to the ball. This value increases until the ball's maximum, which is at the peak of the curve. Therefore, the total work done by the bat on the ball is the greatest at this point because it cannot increase after the ball has left the bat.

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