Chapter 6, Problem 2P

### 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

# A high-speed photograph of a club hitting a golf ball is shown in Figure 6.3. The club was in contact with a ball, initially at rest, for about 0.002 0 s. If the ball has a mass of 55 g and leaves the head of the club with a speed of 2.0 × 102 ft/s, find the average force exerted on the ball by the club.

To determine
The average force exerted on the ball by club.

Explanation

Given Info: The initial velocity is vi=0 , time interval is Î”t=0.0020â€‰s , mass of the ball is 55 g, and velocity of the ball is vf=2.0Ã—102â€‰ft/s .

Formula to calculate the average force exerted on the ball is,

Favg(Î”t)=Î”p Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (I)

• Î”p is the change in momentum
• Î”t is the time taken
• Fav is the average force

The change in momentum formula is,

Î”p=m(vfâˆ’vi) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  (II)

• vf is the final velocity
• vi is the initial velocity
• m is the mass of the ball

Substitute equation (2) in equation (1) and rewrite the relation in terms of Fav

Fav(Î”t)=m(vfâˆ’vi)

Rewrite the above relation in terms of Fav

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