Bungee Jumper Work Calculation: How Much Work is Done by the Bungee Cord?
What is the work done by the bungee cord on the jumper during his descent?
A bungee jumper makes a stunt jump in a jumping platform 17.81 m from above a height. The jumper falls to within 79.26 m of the bottom of the height. Given that the jumper weighs 338 N, how much work is done by the bungee cord on the jumper during his descent?
Work Calculation Result:
The work done by the bungee cord on the jumper during his descent is 26842.88 J (joules).
To calculate the work done by the bungee cord, we need to determine the change in potential energy of the jumper as they descend. The potential energy of an object is given by the equation PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. In this case, the jumper's weight is given as the force, so we can use the equation PE = Fh.
Using the given numbers, we have PE = (338 N)(79.26 m). Calculate the product to find the work done by the bungee cord.
Therefore, the work done by the bungee cord on the jumper during their descent is 26842.88 J (joules).