A 60 g tennis ball with an initial speed of 35 m/shits a wall and rebounds with

Question

A 60 g tennis ball with an initial speed of 35 m/shits a wall and rebounds with the same speed.(Figure 1) shows the force of the wall on the ball during the collision.

Figure 1 of 1

Part A

What is the value of Fmax, the maximum value of the contact force during the collision?

Express your answer to two significant figures and include the appropriate units.

A 60 g tennis ball with an initial speed of 35 m/shits a wall and rebounds with the same speed.(Figure 1) shows the force of the wall on the ball during the collision.

Figure 1 of 1

Explanation / Answer

as we know,
total impulse applied=change in momentum

here consider the initial direction of motion to be positive.

then initial veloicty=35 m/s

final veloicty=-35 m/s

then change in momentum=0.06*(-35-35)=-4.2 kg.m/s

magnitude of change in momentum=4.2 kg.m/s

impulse applied=area under the force-time curve

as can be seen, the curve is a trapezium.

then area=0.5*sum of parallel sides*height

=0.5*(6+2)*10^(-3)*Fmax

10^(-3) is coming because time is provided in ms.

then 0.5*8*10^(-3)*Fmax=4.2

==>Fmax=1050 N

hence maximum force applied by the wall is 1050 N.

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