Impulse question about Force and time

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SUMMARY

The discussion centers on the relationship between force and time in the context of impulse, specifically when a child catches a ball. The key equation is Impulse = Net force x Change in time. When the net force is tripled, the time required to stop the ball decreases to one-third of the original time, confirming that if impulse remains constant, an increase in force results in a proportional decrease in time. The correct answer to the homework question is C: 1/3t.

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Homework Statement



If, when catching the ball, the child applied triple the force, then the length of time that it would have taken to slow the ball would have been:

A. 9t
B. 3t
C. 1/3t
D. 1/9t

Homework Equations



Impulse = Net force x Change in time

The Attempt at a Solution



At first glance, I thought the answer would be B, since it seems logical to me that if you increase the net force, the time to stop the force would be longer...but my Physics teacher said that was wrong.

Assuming that she is right, where did I go wrong in my thinking? She did not care to explain to me.

Thank you
 
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If the impulse remains the same, the product of force and time is constant. If one goes up, what must happen to the other to preserve the product?
 
Rearrange the equation to: T = Impulse / Force and try using hypothetical numbers:

e.g: T = ?, Impulse = 30 and Force = 10

then try using the same value for impulse but multiplying the force by three, as said in the question. What do you notice to the time?

Edit: Ops! Sorry, didn't see gneill's post
 

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