Calculating Impulse & Work of a Tennis Ball Hit by Racquet

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Homework Help Overview

The discussion revolves around calculating the impulse and work done on a tennis ball hit by a racquet. The problem involves a tennis ball with a specified mass and initial and final velocities, prompting participants to explore the concepts of impulse and work in the context of momentum and kinetic energy.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formulas related to impulse and work, with some attempting to clarify the change in momentum and the relationship between kinetic energy and work. Questions arise regarding the absence of a time variable in the impulse calculation.

Discussion Status

There is an active exploration of the concepts, with participants providing insights into the relationships between momentum and kinetic energy. Some guidance has been offered regarding the correct units for impulse and work, and there is acknowledgment of the kinetic energy theorem in the context of the problem.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information available for discussion. There is a focus on understanding the underlying physics concepts rather than arriving at a final solution.

Satoy
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My question is Atennis player receives a shot with the ball (0.06 kg)
traveling horizontally at 50 m/s and returns the shot with the ball traveling the opposite direction at 40 m/s (a) What is the impulse delivered to the ball by the racquet?
(b) What work does th racquet do on the ball?

Ok I have done a force diagram but I can't figure out the formula for (a) but on (b) The work done on the ball would be the change in velosity squared times half of the weight of the ball. Because of the Kentic engery therom. Right?
 
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Impulse is [tex]\Delta p = F \Delta t[/tex]
what is the change in momentum here?

the work is the change is kinetic nad potential energies
since there is no heigh difference here, just care about difference in kinetic energies

so w = Final - initial kinetic energies and you know kinetic energy is given by 1/2 mv^2, right?
 
The change in momentum would be 90 m/s right 50-(-40). And I am not quite sure I understand your equation because I don't have a delta t. Do I?
 
Satoy said:
The change in momentum would be 90 m/s right 50-(-40). And I am not quite sure I understand your equation because I don't have a delta t. Do I?
dont worry about the t the impulse is simplk the change in the momentum and omentum is p = MV
 
the units would be kg*m/s for (a) right? And for (b) J
 
Satoy said:
the units would be kg*m/s for (a) right? And for (b) J
yes those are the correct units
 
For the last part,apply the theorem of variation of KE:[tex]\Delta KE=W[/tex],where W stands for work done by forces acting on the ball...

Daniel.
 
Satoy said:
The change in momentum would be 90 m/s right 50-(-40).
That's the change in velocity, not momentum.
 
Ok I've got it now...thanks for all the help.
 

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