Tennis Ball Impact: Calculating Force & Speed

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SUMMARY

The discussion focuses on calculating the average force exerted by a wall on a tennis ball during impact. Given a tennis ball mass of 0.057 kg and an initial speed of 52 m/s, the average force calculated is 1927.18 N. The time taken for the ball to come to a stop upon contact with the wall is 7.69e-4 seconds. The calculations utilize the impulse-momentum theorem, specifically the equation for change in momentum.

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  • Basic knowledge of force and acceleration concepts
  • Ability to perform calculations involving mass, speed, and time
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Homework Statement



A tennis ball has a mass of 0.057 kg. A professional tennis player hits the ball hard enough to give it a speed of 52 m/s (about 117 miles per hour.) The ball moves toward the left, hits a wall and bounces straight back to the right with almost the same speed (52 m/s). As indicated in the diagram below, high-speed photography shows that the ball is crushed about 2 cm at the instant when its speed is momentarily zero, before rebounding.

Assume that the large force the ball exerts on the wall is approximately constant during contact.
What is the average speed of the ball during the period from first contact with the wall to the moment the ball's speed is momentarily zero?
26 = m/s
How much time elapses between first contact with the wall, and coming to a stop?
7.69e-4 seconds

What is the magnitude of the average force exerted by the wall on the ball during contact?

Homework Equations



change in momentum = fnet*deltat.

The Attempt at a Solution


1927.18 N
-1927.18 N
963.59 N
-963.59 N
 
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use the concept of impulse and proceed...
 

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