Calculating Force and Momentum: A Catcher's Challenge

AI Thread Summary
The discussion focuses on calculating the change in momentum and force applied by a catcher stopping a baseball. The initial calculations were incorrect due to a unit conversion error, as 100 km/hr must be converted to meters per second for accurate results. The correct change in momentum is determined to be -6.9 Ns after proper conversion. Additionally, the force applied by the catcher is recalculated to be approximately -36.55 N using the impulse formula correctly. Emphasis is placed on the importance of unit accuracy in physics problems.
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Homework Statement


A catcher stops a .250kg ball traveling at 100km/hr in .19s.
a. Calculate the change in momentum of the baseball [-6.9ns]
b. Calculate the force the catcher applies to the baseball [-36.5n]

Homework Equations


△p=m△v
f△t=m△v

The Attempt at a Solution


a. △p=m△v
△p=m(vi-vf)
△p=mvi-mvf
△p=(.25kg*100m/s)-(.25kg*0m/s)
△p=25ns

b. F△t=m△v
F=m△v-△t
F=((.25kg*100m/s)-(.25kg*0m/s))-(.19s)
F=24.81n

Both answers are wrong. Correct me please.
 
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In your attempt you have 100m/s but in your question, you have 100km/hr, you see the difference? Looks like you need to do a conversion.
 
You need to pay more attention to the units. Getting the units right in these problems is usually the most difficult part. 100 km/hr is not the same as 100 m/s.
 
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Yes! Thank you so much. I will be careful with the units.
And attempt to solution B, I was using an Impulse formula and I made a mistake.
When you try to solve for the Force. You must divide time from the force.
So It would be,
F(.19s)/.19s=(.25kg*27.78m/s)/.19s
F=36.55 N
 
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I think this is now correct.
 
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