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? asked in Science & MathematicsPhysics · 6 years ago

Physics Homework Help?

Chris jumps off a bridge with a bungee cord (a heavy stretchable cord) tied around his ankle, (Figure 1) . He falls for 15 m before the bungee cord begins to stretch. Chris's mass is 78 kg and we assume the cord obeys Hooke's law, F=−kx, with 56 N/m .

If we neglect air resistance, estimate what distance d below the bridge Chris's foot will be before coming to a stop. Ignore the mass of the cord (not realistic, however) and treat Chris as a particle.

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  • 6 years ago

    We know that mg times his change in height (Potential Energy lost) while the cord is stretching is equal to ½kx²

    mgx = ½kx² -----> mg = ½kx ----->2mg = x -----> 2*78*9.8 =1528.8m

    1528.8+15 = 1543.8

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