Kinetic Energy of Object Question

AI Thread Summary
An object dropped from a height h experiences kinetic energy influenced by air resistance. The average force of air resistance, F, does work that reduces the energy gained during the fall. The kinetic energy gained is calculated as mgh minus the work done by air resistance, leading to the equation KE = mgh - fh. The correct answer to the question posed is choice E. This highlights the impact of air resistance on the kinetic energy of falling objects.
MetsFan09
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[SOLVED] Kinetic Energy Question

Homework Statement



An object is dropped off a cliff of height h and is subjected to an average force of air resistance of F. If the object has a mass of m the KE it gains during the fall will be equal to.
a. mgh
b. mgh + f
c. mgh -f
d. mgh+ fh
e. mgh - fh

Homework Equations





The Attempt at a Solution


What I'm not sure about is does air resistance even factor in KE which would then make it answe A or does it add or subtract to it.
 
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The answer is not A. The force of air resistance will cause the object to speed up more slowly than it would without air resistance. In other words, the air resistance does work which removes energy from the object.

So, using this knowledge and the definition of the work done by a force, what do you think is the correct response?
 
If that's correct it wouldn't it be choice E then?
 
MetsFan09 said:
If that's correct it wouldn't it be choice E then?

external energy + potential energy1 + kinetic energy 1 = potential energy 2 + kinetic energy 2(-f*h) + m*g*h + 0 = 0 + kinetic energy2

(-f*h) + m*g*h = kinetic energy2

the 1 represent the ball at the starting position ( at h height) and 2 represents when it hits the floor(at h = 0)

EEEEEEEEEEEEE
 
MetsFan09 said:
If that's correct it wouldn't it be choice E then?

Yep. E is the correct answer.
 
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