Work and Kinetic Energy Problem

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SUMMARY

The discussion focuses on a physics problem involving work and kinetic energy related to a swing scenario with two performers, Jack and Jill, totaling 120 kg in mass. The swing length is 5.0 m, and the initial angle with the horizontal is 36 degrees. The solution involves calculating the maximum height Jill can reach after Jack steps off, using the potential energy formula Pe = mgh, where the height is derived from the swing's geometry. The calculated height is approximately 1.47 m, but there is confusion regarding the angle's reference point.

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  • Understanding of potential energy (Pe = mgh)
  • Basic trigonometry for calculating height from angles
  • Knowledge of kinetic energy and its relationship with work
  • Familiarity with swing mechanics and forces in motion
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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.

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


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

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