Instead of hitting a baseball, a baseball player hits a very flexible, rubber ba

Question

Instead of hitting a baseball, a baseball player hits a very flexible, rubber baseball (m = 0.13 kg) similar to the situation shown in the figure below. The ball is initially traveling horizontally with a speed of 40 m/s. The batter hits a fly ball as shown, with speed vf = 54 m/s.

(b) If the contact time changes (increases) by a factor of 40 but the initial and final velocities are the same, by what factor does the force of the bat on the ball change? (F1 is the force with the original contact time and F2 is the force with the increased contact time.)

F1/F2=

Explanation / Answer

(A) impulse= change in momentum = F t

velocities are kept same.

hence change in momentum will be same for both case.

p = F1 t

now t -> 40t

so F2 will be F1/40

so F1/F2 = 40

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