How Do You Calculate Impact Duration and Average Force in Momentum Problems?

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To calculate the impact duration and average force in momentum problems, one must apply the principles of momentum and impulse. The momentum of the arm is calculated as 0.315 kg·m/s, and the assumption of constant acceleration during impact is crucial for further calculations. The formula F = m * a can be used, where acceleration can be derived from the change in velocity over the impact duration. The impulse integral provides additional insights into the relationship between force, time, and momentum change. Accurate calculations are essential, particularly in ensuring decimal points are correct.
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A .450 kg arm moves horizontally at 7.00 m/s when it strikes a wall and comesto rest after driving the wall 1.00 cm. Calculate the duration of the impact. What was the average force exerted on the nail?

Delta P = F delta T
F delta t = m delta v
F=ma

I know the momentum would be .315 kgm/s, but I'm not sure how to calculate the rest.
 
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Hint: Assume that the acceleration is constant during the impact.
 
I know the momentum would be .315 kgm/s, but I'm not sure how to calculate the rest.

check that decimal point!
 
Naty1 said:
check that decimal point!
Yeah, that too! :smile:
 
What does the impulse integral say?
 

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