N (Intro 1)Tennis Ball Rebound: Force on Ball During Collision

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Homework Help Overview

The problem involves a tennis ball with a mass of 60 grams that strikes a wall at an initial speed of 33 m/s and rebounds with the same speed. The focus is on determining the maximum contact force exerted by the wall on the ball during the collision, as illustrated in a provided force-time graph.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of maximum force using impulse and momentum principles. There are attempts to clarify unit conversions and the interpretation of the force-time graph. Questions arise regarding the integration of the area under the force-time curve and how to relate it to impulse.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to calculate the maximum force. Some guidance has been provided regarding the relationship between impulse and the area under the force-time graph, but there is no explicit consensus on the method to be used.

Contextual Notes

Participants are working with the assumption that the mass of the tennis ball is 60 grams and are questioning the units used in calculations. There is also a mention of the time duration of the collision being 4 ms, which is relevant for the calculations.

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Homework Statement


A 60 tennis ball with an initial speed of 33 hits a wall and rebounds with the same speed. The figure (Intro 1 figure) shows the force of the wall on the ball during the collision. t=6
http://session.masteringphysics.com/problemAsset/1070440/4/09.EX11.jpg

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


Homework Equations



p=mv
change in p = F *change in time
F=ma

The Attempt at a Solution



I attempted and got Fmax = 1320
 
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julz3216 said:

Homework Statement


A 60 tennis ball with an initial speed of 33 hits a wall and rebounds with the same speed. The figure (Intro 1 figure) shows the force of the wall on the ball during the collision. t=6
http://session.masteringphysics.com/problemAsset/1070440/4/09.EX11.jpg

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

Homework Equations



p=mv
change in p = F *change in time
F=ma

The Attempt at a Solution



I attempted and got Fmax = 1320

Not sure about your units, but I'll go with 60 g for a tennis ball and 33 m/s.

So maybe check your units.

Impulse is Δmv.

But your force varies during the time. So you want to take the integral of the area under the F - t graph they provide. Each square is an Fmax * 1ms. When you figure the area, then you can calculate Fmax by dividing the Impulse you found by the ms factor from the area you found.
 
LowlyPion said:
When you figure the area, then you can calculate Fmax by dividing the Impulse you found by the ms factor from the area you found.

The graph doesn't provide F values so for area i got ((6+2)*Fmax)/2
For impulse I got .06*33 = 1.98 ...(60 g is right -> .06 kg)

But, I don't know what you mean by dividing the impulse by the ms factor?
 
julz3216 said:
The graph doesn't provide F values so for area i got ((6+2)*Fmax)/2
For impulse I got .06*33 = 1.98 ...(60 g is right -> .06 kg)

But, I don't know what you mean by dividing the impulse by the ms factor?

The impulse is change in momentum. That would be twice what you show.

Having found the area under the Force function you have that as 4*Fmax in units of N-s right?

So take the Impulse and divide by the time - 4ms to yield the value of your Fmax looks like to me.

Didn't you say F*Δt = I = Δmv ?
 

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