How to Calculate Average Force from Momentum Change in a Collision

AI Thread Summary
To calculate the average force exerted on a 6 kg steel ball striking a wall, one must consider the change in momentum during the collision. Although the ball bounces off with the same speed and angle, the direction change indicates a momentum shift, meaning momentum is not conserved due to the external force from the wall. The equation for average force relates change in momentum to the time of contact, which is 0.219 seconds in this case. Therefore, the average force is not zero, as there is indeed a change in momentum despite the speed remaining constant. Understanding that external forces can affect momentum conservation is crucial in solving such problems.
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Homework Statement


A 6 kg steel ball strikes a wall with a speed of 11.2 m/s at an angle of 50.5 degrees with the normal to the wall. It bounces off with the same speed and angle. If the ball is in contact with the wall for .219s, what is the magnitude of the avg force exerted on the ball by the wall. Answer in units of N.


Homework Equations


change in momentum (delta p)= avg force * change in time

In this case, because there is no change in momentum, wouldn't that mean the avg force would be zero?
 
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Maiia said:

Homework Statement


A 6 kg steel ball strikes a wall with a speed of 11.2 m/s at an angle of 50.5 degrees with the normal to the wall. It bounces off with the same speed and angle. If the ball is in contact with the wall for .219s, what is the magnitude of the avg force exerted on the ball by the wall. Answer in units of N.


Homework Equations


change in momentum (delta p)= avg force * change in time

In this case, because there is no change in momentum, wouldn't that mean the avg force would be zero?

There is a change in momentum. Remember that momentum is a vector and even if it only changes direction, that still means that momentum is not conserved, and so there is an external force causing that change.
 
i thought momentum was ALWAYS conserved...??
 
Maiia said:
i thought momentum was ALWAYS conserved...??
Not if there is an external force acting upon the system you are considering. If you consider the ball as being your system, then the bat will create an external force...
 
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