What Is the Maximum Force Exerted by the Floor on the Ball?

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Homework Help Overview

The problem involves a rubber ball dropped from a height of 1.8 meters, which rebounds to two-thirds of its initial height. Participants are discussing the maximum force exerted by the floor on the ball, using concepts related to impulse and momentum.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to calculate the maximum force using impulse and momentum equations. Some are questioning the calculations of velocity and the time interval used in their attempts.

Discussion Status

The discussion includes various attempts to apply the impulse-momentum theorem, with some participants expressing confusion over their calculations. There is an ongoing exploration of the correct values for velocity and time, with no clear consensus yet.

Contextual Notes

Participants are working under the constraints of the problem statement and are questioning the assumptions made regarding the time of impact and the calculations of velocity based on the height from which the ball was dropped.

julz3216
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Homework Statement



A 41 rubber ball is dropped from a height of 1.8 and rebounds to two-thirds of its initial height.
http://session.masteringphysics.com/problemAsset/1070447/4/09.P29.jpg
The figure (Part C figure) shows the impulse received from the floor. What maximum force does the floor exert on the ball?
t=5ms

Homework Equations



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

The Attempt at a Solution



I tried and got Fmax = .176 by plugging into the 1st equation for impulse
 
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If you solved the other problem you posted you should know how to solve this so long as you calculated your Impulse correctly from the info given.
 
So I tried to do F*change in t = change in m*v but it didn't work. i calculated velocity by doing change in d/ change in t. i used 2.5 for t because that is where fmax occurs and i also used d as 1.8 because that is the distance the ball travels in 2.5 seconds

so i got v=.72 and then mv=.029
so 2.5F = .029
F = .0116

and that was wrong. so i don't really know what to do?
 
julz3216 said:
So I tried to do F*change in t = change in m*v but it didn't work. i calculated velocity by doing change in d/ change in t. i used 2.5 for t because that is where fmax occurs and i also used d as 1.8 because that is the distance the ball travels in 2.5 seconds

so i got v=.72 and then mv=.029
so 2.5F = .029
F = .0116

and that was wrong. so i don't really know what to do?

Where did you get v = .72 from? It fell 1.8m

V2 = 2*9.8*1.8m

How fast does it bounce back?

Isn't that going to give you the ΔV that you want to use?

The 2.5 ms* Fmax looks ok though.
 

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