A Bungee Jumper's Work Calculation

What is the work done by the bungee cord on the jumper during his descent?

The work done by the bungee cord on the jumper during his descent is calculated as 34,691 Joules.

Gravitational Potential Energy

The work done by the bungee cord on the jumper is equal to the loss of gravitational potential energy of the jumper during the descent. Gravitational potential energy (PE) is given by the formula: PE = m * g * h Where: - m = mass of the jumper - g = acceleration due to gravity (9.8 m/s²) - h = height of the jumping platform (14.37 m)

Calculating the Mass of the Jumper

The weight of the jumper is given as 426 N. To find the mass of the jumper, we use the formula: Weight = mass * gravity Solving for mass: - 426 N = mass * 9.8 m/s² - mass = 426 N / 9.8 m/s² - mass ≈ 43.47 kg

Calculating the Work Done

Substitute the values into the gravitational potential energy formula: PE = 43.47 kg * 9.8 m/s² * 14.37 m PE ≈ 5962.7 Joules Therefore, the work done by the bungee cord on the jumper during his descent is approximately 5,962.7 Joules. This is the energy transfer from the gravitational potential energy of the jumper to the work done by the bungee cord.
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