Work and Kinetic Energy Problem

AI Thread Summary
The problem involves two circus performers on a swing, with a total mass of 120 kg and an initial swing angle of 36 degrees. The key question is to determine the maximum height Jill can reach after Jack steps off at the bottom of the swing. The potential energy is calculated using the formula Pe = mgh, where the height is derived from the swing's length and the angle. There is confusion regarding whether the angle should be measured from the horizontal or vertical, impacting the calculations. Clarification on the correct approach to finding the height and potential energy is requested.
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Work and Kinetic Energy Problem...URGENT

Homework Statement



Two circus performers, Jack and Jill, whose total mass is 120kg, start a swing which is 5.0 m long such that initially the rope attached to their swing makes an angle of 36 degrees with the horizontal. At the bottom of the arc, Jack, who’s mass is 65 kg, steps of. What is the maximum height of a landing ramp that Jull can reach as the swing continues?

Homework Equations





The Attempt at a Solution



I got 1.469463131 but really I am unsure of whether it is correct.
 
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If they are on a swing wouldn't the angle be with the vertical?

assuming it is the angle with the vertical the first step would be finding potential energy.

Pe = mgh the height would be 5 - 5cos(36)
 
Last edited:


i have the same problem for homework but can you explain how you got your answer?
 

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