Calculating Impulse & Work of a Tennis Ball Hit by Racquet

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The discussion focuses on calculating the impulse and work done on a tennis ball by a racquet. The impulse delivered to the ball is determined by the change in momentum, which is calculated as 90 m/s based on the velocities of 50 m/s and -40 m/s. For work done, the change in kinetic energy is used, expressed as the difference between final and initial kinetic energies, with the formula W = ΔKE. The participants clarify that impulse does not require a time variable, as it is simply the change in momentum. The conversation concludes with confirmation of the correct units for impulse and work, which are kg*m/s and Joules, respectively.
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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 forumla 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 \Delta p = F \Delta t
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:\Delta KE=W,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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