Work Done By Bungee Cord in a Stunt Jump

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

If a bungee jumper makes a stunt jump in a jumping platform 3.95 m from above a height and falls to within 64.84 m of the bottom, how much work is done by the bungee cord on the jumper during his descent? Ignoring air resistance.

Work Done by the Bungee Cord

The work done by the bungee cord on the jumper during his descent is 19776.2 Joules.

When a bungee jumper makes a stunt jump from a height, the bungee cord plays a crucial role in ensuring the safety and thrill of the jump. In this scenario, the work done by the bungee cord on the jumper during his descent can be calculated based on the principles of work and energy.

Given that the jumper falls to within 64.84 m of the bottom and weighs 305 N, we can determine the work done by the bungee cord using the work-energy theorem. This theorem states that the work done on an object is equal to the change in its kinetic energy.

Although the kinetic energy at the highest and lowest points of the jumper's motion is zero, we can still calculate the work done by the bungee cord based on the gravitational force acting on the jumper. By applying the formula for work done by gravity (Work = mgh = Fh), where F is the force (weight) and h is the height, we find that the work done by the bungee cord is 19776.2 Joules.

In conclusion, the bungee cord does significant work in providing the necessary tension and support for the bungee jumper during his descent, ensuring a thrilling yet safe experience for the jumper.