A bungee jumper with mass 65.0 kg jumps from a high

Chapter 5, Problem 27P

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QUESTION:

Problem 27P

A bungee jumper with mass 65.0 kg jumps from a high bridge. After reaching his lowest point, he oscillates up and down, hitting a low point eight more times in 38.0 s. He finally comes to rest 25.0 m below the level of the bridge. Calculate the spring stiffness constant and the unstretched length of the bungee cord.

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QUESTION:

Problem 27P

A bungee jumper with mass 65.0 kg jumps from a high bridge. After reaching his lowest point, he oscillates up and down, hitting a low point eight more times in 38.0 s. He finally comes to rest 25.0 m below the level of the bridge. Calculate the spring stiffness constant and the unstretched length of the bungee cord.

ANSWER:

SolutionStep 1Equation for Maximum theoretical efficiency Equation for maximum theoretical efficiency is, = Work done by the heat engine (output)/ amount of heat extracted from hot reservoir (input) Or, = W / Q H The work done by the heat engine is, W = Q - Q H C Where, Q - AmCnt of heat exhausted to the cold reservoir Therefore, the efficiency, = (Q - Q )/ Q = 1 - (Q / Q ) H C H C H We can rewrite it in terms of temperature as, = 1 - (T / T ) -C---H---- (1) Where, T - temperature of cold reservoir and T - temperature of hot C H reservoir

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