What is the magnitude of the impulse in a ball-wall collision?

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Homework Help Overview

The problem involves a ball of mass 7.0 g colliding with a wall at an angle of 23.0 ° and rebounding with the same speed and angle. Participants are discussing the calculation of the impulse associated with the collision force, focusing on the mass conversion and vector components involved in the impulse calculation.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are examining the components of momentum before and after the collision, questioning the mass conversion from grams to kilograms, and discussing the use of trigonometric functions in their calculations. Some express uncertainty about their free body diagrams and the correctness of their equations.

Discussion Status

There is an ongoing exploration of the calculations involved, with some participants noting discrepancies in their results. Guidance has been offered regarding the correct use of units and the application of trigonometric functions. Multiple interpretations of the impulse calculation are being discussed, but there is no explicit consensus on the correct approach yet.

Contextual Notes

Participants are constrained by the requirement to convert mass from grams to kilograms and are questioning the implications of their calculations on the final impulse value. There is also mention of the time duration of contact with the wall, which may be relevant to the impulse calculation.

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A ball of mass 7.0 g with a speed of 25.2 m/s strikes a wall at an angle 23.0 ° and then rebounds with the same speed and angle. It is in contact with the wall for 39.0 ms. What is the magnitude of the impulse associated with the collision force?

img:

x: -mv*sin(23)-mv*sin(23)
y: -mv*cos(23)+mv*cos(23)=0

I'm not sure what I did wrong, but I got -137.85, and the magnitude is 137.85/
 
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Magnitude of a vector is positive, while the + or - determines direction, as in +x, -x or +i, -i.
 
I'm pretty sure my free body diagram is right. I'm not too sure what I'm doing wrong. The computer isn't taking that answer.
 
I know that both of the vectors are in the negative x direction, and one is in the positive, and the other is in the negative y direction.

I realized that I forgot to convert to kilograms, however, the answers is still wrong:

I got.2098
 
Last edited:
I noticed the grams think, but I though it was a typo. That said how can you convert 137.85g*m/sec to kg and get .2098?
 
Oh, I converted the g to kg at the very beginning. 7g=.007kg

so my equation looked like this

Y=0
x=-.007*25.2*sin(23)+-.007*25.2*sin(23)=.2098 N*s
 
Last edited:
I'd try that again. I get something different. You are doing sin(23) in degrees, yes?
 
yes, are my numbers in the equation correct.
 
Okay, I modified my equation and only did the first half of it and got .0698, I multiplied that by 2 and got the right answer. I must have committed an algebra error somewhere.
 

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