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

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A 7.0 g ball collides with a wall at a speed of 25.2 m/s and an angle of 23.0°, rebounding with the same speed and angle. The impulse magnitude is calculated using the formula involving the mass and velocity components, with the ball in contact with the wall for 39.0 ms. Initial calculations yielded incorrect results due to a failure to convert grams to kilograms properly. After correcting the mass conversion and recalculating, the correct impulse magnitude was found to be 0.0698 N*s after addressing algebra errors. The discussion emphasizes the importance of unit conversion and careful calculation in impulse problems.
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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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