Chapter 6, Problem 8P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# An estimated force vs. time curve for a baseball struck by a bat is shown in Figure P6.8. From this curve, determine (a) the impulse delivered to the ball and (b) the average force exerted on the ball.

(a)

To determine
The impulse delivered to the ball.

Explanation

The below graph represents the force versus time curve for a baseball struck by the bat,

Formula to calculate the time taken by the ball from the graph is,

Î”t=X2âˆ’X1

• X2 is the final time.
• X1 is the initial time.
• Î”t is the time taken by the ball.

Use the plotted points from the graph,

Substitute 2.50â€‰s for X2 and 1.0â€‰s for X1 in the above equation to find Î”t ,

Î”t=2.50â€‰msâˆ’1.0â€‰ms=1.50â€‰ms

The impulse delivered to the ball is given in the force and time ratio by graph and it is equal to the area under the curve formed by the force and time in the graph. The area in the curve is as triangle.

Formula to calculate the area of triangle is,

A=12Î”ta

• A is the area of the triangle,
• a is the altitude.

Formula to calculate the impulse delivered to the ball,

Consider area of the triangle is equal to the impulse delivered to the ball

(b)

To determine
The average force exerted on the ball.

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