Frictional Energy: Solving for Air Resistance

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SUMMARY

The discussion focuses on calculating the average force of air resistance acting on a 145 g baseball dropped from a height of 8.0 m, which hits the ground at a speed of 7.80 m/s. The correct formula to determine air resistance is derived from the energy principles, specifically using the equation (air resistance) = (m(0.5(v^2) - gh))/h. The initial calculation of 5.56 N was incorrect, prompting further verification of arithmetic and understanding of the kinematic equations involved in the problem.

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Frictional Energy??

Homework Statement



A 145 g baseball is dropped from a tree 8.0 m above the ground.
(b) If it actually hits the ground with a speed of 7.80 m/s, what is the magnitude of the average force of air resistance exerted on it?

Homework Equations



I've tried this problem several times, but I do not know how to find air resistance using the energy of the problem. Any help would be appreciated!

(air resistance) h= (delta)KE +(delta)PE



The Attempt at a Solution



(air resistance)=(m(.5(v^2)-gh))/h
Using this I got 5.56 N as an answer, but apparently that's wrong.

Any help whatsoever is appreciated!
 
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You can use the kinematic equations to find the actual acceleration of the ball. You know that minus any air resistance it should be the acceleration due to gravity g. You can then take g away from the acceleration you find to find the net acceleration due to air resistance. Multiply this by the mass of the ball to find the force.
 
gloryrentgirl said:
(air resistance)=(m(.5(v^2)-gh))/h
Using this I got 5.56 N as an answer, but apparently that's wrong.
Your method is OK. Check your arithmetic.
 

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