Kinetic and potetnial energy in a circle?

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TheBowl3r
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Homework Statement


The drawing below shows a person who, starting from rest at the top of a cliff, swings down at the end of a rope, releases it, and falls into the water below. There are two paths by which the person can enter the water. Suppose he enters the water at a speed of 10.0 m/s via path 1. How fast is he moving on path 2 when he releases the rope at a height of 3.80 m above the water? Ignore the effects of air resistance.


Homework Equations


KEf+PEf=KEo+PEo
KE=1/2mv^2
PE=mgh

The Attempt at a Solution


KEf=KEo+PEo-PEf
Vf=sqr(2((.5*Vo)+(9.8*10)-(9.8*3.8)))
Vf=13.7m/s
 
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