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High-speed stroboscopic photographs show that the head of a 214 g golf club is trav- eling at 36.7 m/s just before it strikes a 45.9 g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 26.9 m/s. Find the speed of the golf ball immediately after impact. Answer in units of m/s.

Answer :

alinakincsem

Answer:

v = 45.7 m/s

Explanation:

It is given that the head of a golf club has a mass of 214 g and is travelling at 36.7 m.s before the impact with a golf ball which has a mass of 45.9 g and is at rest on a tee.

After the club hits the ball, its speed decreases to 26.9 m/s and we are to determine the speed of the golf ball after the impact.

So, the initial momentum ([tex]P_i[/tex]) = 36.7 * 214 = 7853.8 g; and

the final momentum ([tex]P_f[/tex]) = 45.9 * v + 214 * 26.9

Since ([tex]P_i[/tex]) = ([tex]P_f[/tex]),

7853.8 = 45.9v + 5756.6

45.9v = 2097.2

v = 45.7 m/s

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