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Determine the Final Velocity

An object whose mass is 1 lb has a velocity of 100 ft/s. How would I determine the final velocity, in ft/s, if the kinetic energy of the object decreases by 100 ft*lbf? What would be the change in elevation, in ft. associated with the 100 ft*lbf change in potential energy if g=32.0 ft/s^2?

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Initial kinetic energy = 1/2 mu^2 = 0.5*1*100^2 = 5000 ft*lbf
Decrease in kinetic ...

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This solution contains calculations to help you understand how to solve the problem.