Calculating Impulse: Tennis Ball Rebound at 45 Degrees | Homework Help

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Homework Help Overview

The problem involves calculating the impulse experienced by a tennis ball of mass 0.060 kg and speed 25 m/s as it strikes a wall at a 45-degree angle and rebounds with the same speed at the same angle. The focus is on understanding the relationship between impulse and momentum in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of trigonometric functions in calculating impulse, questioning the choice of angles and methods. There is an attempt to clarify the correct angle to use in calculations.

Discussion Status

Some participants have provided guidance on the approach to take, suggesting consistency in the choice of trigonometric functions. There is an ongoing exploration of the implications of angle definitions in relation to the wall's surface and normal.

Contextual Notes

Participants are navigating the implications of angle definitions and the correct application of trigonometric functions in the context of the problem. There is a recognition of the need for clarity in future similar problems.

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Homework Statement



A tennis ball of mass m=0.060 kg and speed v=25 m/s strikes a wall at a 45 angle and rebounds with the same speed at 45 degrees. What is the impulse given the wall?

Homework Equations





The Attempt at a Solution



.06(25)(cos30)+.06(25)(sin30)?

i actually had no idea...
 
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runningirl said:
.06(25)(cos30)+.06(25)(sin30)?

i actually had no idea...
Impulse is the change in momentum, so you're on the right track. But why use 30o in your trig functions? The problem statement says the angles are both 45o.
 
sorry, i mean 45. but is my method correct?
 
runningirl said:
sorry, i mean 45. but is my method correct?
Essentially, yes, your method works. But I would pick one trig function (either sine or cosine) and stick with it. In general, the one you pick depends on how the angle is defined -- with respect to the wall's surface or the wall's normal. Of course in this particular problem, with the angle being 45o, you'll get the same answer either way. But generally speaking for similar, future problems, you'll have to use the correct one.
 

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