Calculating Stopping Time and Distance Using Impulse Momentum Theorem

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Homework Help Overview

The discussion revolves around applying the impulse-momentum theorem to a scenario involving dropping an egg from a height without breaking it, as well as a related problem involving a baseball being stopped by a force. Participants explore the concepts of impulse, force, and time in the context of momentum change.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to slow down the egg gradually using soft materials and question how the impulse-momentum theorem applies to this situation. There is also a transition to a specific problem involving a baseball, where participants seek to determine the time and distance required to stop the ball using given parameters.

Discussion Status

The discussion is active, with participants providing insights into the relationship between force, time, and impulse. Some have offered clarifications on the theorem and its implications, while others are still exploring the mathematical aspects of the baseball problem without reaching a consensus.

Contextual Notes

Participants are working within the constraints of homework problems, which include specific scenarios and parameters that guide their reasoning and exploration of the concepts involved.

JMarino
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I have a question I am looking for an asnwer: Using the impulse momentum theorum, describe how it is possible to drop an egg from a 2 story high building and not have the egg break.
 
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Sounds like a homework problem to me. Show your thinking so far.
 
Well I know we would need to slow down the object gradually to keep intact, such as using a stack of feathers or pillows. How does the theorum apply?
 
What is the theorem? What is impulse?
 
impulse is a factor of both force and time. So the egg hitting the pillows (let's say) is the impulse and for a period of time to slow the egg down?
 
Impulse is defined as Force X Time; the impulse-momentum theorem tells you that the impulse exerted on an object (by the net force on it) equals its change in momentum.

For the same impulse, if you arrange for the force to be exerted over a greater time (making Time bigger) by using a pillow (for example), what does that imply about the force being exerted on the egg?
 
you need less force to stop the object
 
Right! If you are willing to take a longer time to stop the egg, then you can use less force. Conversely, by using less force--via a softer surface like a pillow--you need more time to stop the egg.
 
Thank you for the help!
 
  • #10
So I have one more problem to solve. Can you help?
A 0.15 kg baseball moving at +26 m/s is slowed to a stop by a catcher who exerts a constant force of 390 N. How long does it take this force to stop the ball? How far does the ball travel before stopping?
- P=mV = 0.15Kg x 26M/s = 3.9Kgm/s. Then what equation?
 
  • #11
JMarino said:
So I have one more problem to solve. Can you help?
A 0.15 kg baseball moving at +26 m/s is slowed to a stop by a catcher who exerts a constant force of 390 N. How long does it take this force to stop the ball? How far does the ball travel before stopping?
- P=mV = 0.15Kg x 26M/s = 3.9Kgm/s. Then what equation?

Look at the first part of post #6 again.
 

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