Velocity dependent forces problem

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SUMMARY

The discussion centers on calculating the force exerted during a collision, specifically when a ball strikes a wall at speed V. The key takeaway is that the time-averaged force can be determined using the change of momentum and the time of contact. Due to the extremely short contact time, this force approaches infinity. The concept of impulse, defined as the product of force and time, is crucial in understanding the relationship between force and momentum change during rapid collisions.

PREREQUISITES
  • Understanding of momentum and impulse in physics
  • Familiarity with Newton's Second Law (F = dp/dt)
  • Basic knowledge of collision theory
  • Concept of time of contact in impact analysis
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  • Study the principles of impulse and momentum in detail
  • Learn about collision theory and types of collisions (elastic vs inelastic)
  • Explore advanced impact analysis techniques in physics
  • Investigate real-world applications of collision forces in engineering
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Physics students, engineers, and anyone interested in understanding the dynamics of collisions and the forces involved in rapid impacts.

retupmoc
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I know of velocity dependent forces and the like but have a problem in grasping a problem I've been thinking over for the past few days although i know the answer is really simple. For exampe when a ball hits a wall at speed V, say how do i work out the force. Is it just by using the change of momentum and time of contact?
 
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The time-averaged force acting upon the ball can be found in the manner you described.
Notice that this force will be practically infinite, since the contact time is practically zero!

What do you know of collision theory/impact analysis?
 
When collisions happen very quickly we tend to talk of an impulse. Defined as a force multiplied by a time, an impulse is equal to the change of momentum (simply N2 rearranged).

If however you know the change of momentum and the time of contact you can work out the force, as force is dp/dt so just divide the two and you have the force.
 

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