   Chapter 6, Problem 2P

Chapter
Section
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 Δt=0.0020s , mass of the ball is 55 g, and velocity of the ball is vf=2.0×102ft/s .

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

Favg(Δt)=Δp                                                                (I)

• Δp is the change in momentum
• Δt is the time taken
• Fav is the average force

The change in momentum formula is,

Δp=m(vfvi)                                                             (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(Δt)=m(vfvi)

Rewrite the above relation in terms of Fav

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