Force Applied by 0.145kg Baseball to Catcher's Mitt

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SUMMARY

The average force applied by a 0.145-kg baseball traveling at 35.0 m/s to a catcher's mitt, which recoils backward 11.0 cm, can be calculated using the work-energy theorem. The change in kinetic energy of the baseball is equal to the average force multiplied by the distance over which the force acts. Additionally, the impulse-momentum theorem can be applied, where the product of mass and change in velocity equals the average force multiplied by the time interval.

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A 0.145-kg baseball traveling 35.0 m/s strikes the catcher's mitt which, in bring the ball to rest, recoils backward 11.0 cm. What was the average force applied by the ball on the glove?

Can someone show me a formula for this problem or a way to solve this problem?? Please and Thank You
 
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smbascug said:
A 0.145-kg baseball traveling 35.0 m/s strikes the catcher's mitt which, in bring the ball to rest, recoils backward 11.0 cm. What was the average force applied by the ball on the glove?

Can someone show me a formula for this problem or a way to solve this problem?? Please and Thank You

In this example, you may use that the change of kinetic energy is equal to the average force times the distance over which the force acts (this is a special case of the work energy theorem, It is that simple here because no other force does any work. For example gravity does not do any work because the height of the baseball does not change)

Patrick
 
smbascug said:
A 0.145-kg baseball traveling 35.0 m/s strikes the catcher's mitt which, in bring the ball to rest, recoils backward 11.0 cm. What was the average force applied by the ball on the glove?

Can someone show me a formula for this problem or a way to solve this problem?? Please and Thank You

Another way, and a good practice: Whenever you see the term "average force" think of the impulse-momentum theorem: m \Delta v = \bar F \Delta t.

-Dan
 

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