Change in Momentum, Impulse, and Wall Impulse

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Homework Help Overview

The problem involves a 0.200 kg ball colliding with a wall, where the velocities before and after the collision are given in unit-vector notation. Participants are tasked with determining the change in momentum, impulse on the ball, and impulse on the wall.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • One participant attempted to calculate the change in momentum by subtracting the final velocity from the initial velocity for each component and multiplying by the mass. There is a question about the correctness of this approach, particularly regarding the signs used in the calculations.

Discussion Status

The discussion has progressed with one participant identifying a potential issue with the sign in their calculations. Another participant confirmed this observation, suggesting that the original poster may have resolved the issue themselves.

Contextual Notes

Participants are working within the constraints of a homework assignment and are using a specific online system for submission, which has indicated errors in the calculations provided.

FlukeATX
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[Resolved] Unit-vector momentum?

Homework Statement


A 0.200 kg ball hits a wall with a velocity of (7.60 m/s)i + (8.60 m/s)j + (3.50 m/s)k. It rebounds from the wall with a velocity of (1.80 m/s)i + (3.40 m/s)j + (-4.70 m/s)k. In unit-vector notation, what are (a) the change in the ball's momentum, (b) the impulse on the ball, and (c) the impulse on the wall?


Homework Equations


p=mv


The Attempt at a Solution


I attempted subtracting each component of the vectors multiplied by the mass, like this:
Pi = ((7.6)-(1.8))*0.2
Pj = ((8.6)-(3.4))*0.2
Pk = ((3.5)+(4.7))*0.2

P=(1.16)i+(1.04)j+(1.64)k


This was wrong, and I'm not sure why it is or how to go about it. I submit with the wileyplus system, which said that none of my vector components were correct. Anyone know why?
 
Last edited:
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FlukeATX said:

Homework Statement


A 0.200 kg ball hits a wall with a velocity of (7.60 m/s)i + (8.60 m/s)j + (3.50 m/s)k. It rebounds from the wall with a velocity of (1.80 m/s)i + (3.40 m/s)j + (-4.70 m/s)k. In unit-vector notation, what are (a) the change in the ball's momentum, (b) the impulse on the ball, and (c) the impulse on the wall?


Homework Equations


p=mv

The Attempt at a Solution


I attempted subtracting each component of the vectors multiplied by the mass, like this:
Pi = ((7.6)-(1.8))*0.2
Pj = ((8.6)-(3.4))*0.2
Pk = ((3.5)+(4.7))*0.2

P=(1.16)i+(1.04)j+(1.64)k

This was wrong, and I'm not sure why it is or how to go about it. I submit with the wileyplus system, which said that none of my vector components were correct. Anyone know why?

Your calculations are initial - final?
 
That was it, thanks!
 
You solved it yourself.

All you needed was a sign.
 

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