More inelastic problems Homework Question - How Far Do They Slide?

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SUMMARY

The problem involves a stuntman with a mass of 81.8 kg swinging down from a height of 7.33 m to collide with a villain weighing 66.4 kg. The coefficient of kinetic friction between their bodies and the floor is 0.71. The initial potential energy of the stuntman is calculated using the formula PE = mgh, leading to a total energy consideration that includes frictional forces. The discussion emphasizes the need to determine the initial joint speed after the inelastic collision before applying conservation of energy principles to find the sliding distance.

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Homework Statement



A movie stuntman (mass 81.8 kg) stands on a window ledge 7.33 m above the floor. Grabbing a rope attached to a chandelier, he swings down to grapple with the movie’s villain (mass 66.4 kg), who is standing directly under the chandelier. (Assume that the stuntman’s center of mass moves downward 7.33 m. He releases the rope just as he reaches the villain) If the coefficient of kinetic friction of their bodies with the floor is uk = 0.71, how far do they slide?

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The Attempt at a Solution


So what I did is first solve for the potential of the stuntman ( 81.8 * 9.8 * 7.33). Then subtract out the friction caused by the two people ( total mass * 9.8 * .71). This is the energy left to the system. So set this equal to F * d where force is equal to total mass * 9.8. And that's how I get my d, which is wrong.
 
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Spraypaint said:
So what I did is first solve for the potential of the stuntman ( 81.8 * 9.8 * 7.33). Then subtract out the friction caused by the two people ( total mass * 9.8 * .71). This is the energy left to the system. So set this equal to F * d where force is equal to total mass * 9.8. And that's how I get my d, which is wrong.

Hi Spraypaint! :smile:

The collision is inelastic … energy is not conserved in the collision

you have to find the initial joint speed before you can start to apply conservation of energy. :wink:
 

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