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

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The problem involves a stuntman swinging down to grapple with a villain, and the goal is to determine how far they slide after the collision. The initial potential energy of the stuntman is calculated using his mass and height, while the friction force is derived from the combined mass and the coefficient of kinetic friction. The discussion highlights that the collision is inelastic, meaning energy is not conserved during the impact. To solve the problem correctly, one must first find the initial joint speed of the stuntman and villain before applying conservation of energy principles. Understanding these concepts is crucial for accurately determining the sliding distance after the collision.
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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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