Calculate the Speed of a Bungee Jumper

How can we calculate the speed at which a bungee jumper falls?

A bungee jumper with a mass of 64kg has a kinetic energy store of 7600.

Speed of the Bungee Jumper

The speed at which a bungee jumper falls can be calculated by determining the kinetic energy and mass of the jumper.

When calculating the speed at which a bungee jumper falls, we need to consider the kinetic energy and mass of the jumper. Kinetic energy is the energy possessed by an object due to its motion, and it can be calculated using the formula KE = 0.5 × m × v^2, where m is the mass of the object and v is its velocity.

In this scenario, the bungee jumper has a mass of 64kg and a kinetic energy of 7600. By rearranging the formula and plugging in the values, we can solve for the velocity.

KE = 0.5 × m × v^2 7600 J = 0.5 × 64 kg × v^2 v^2 = (2 × 7600 J) / 64 kg v^2 = 237.5 m^2/s^2 v = √(237.5 m^2/s^2) v ≈ 15.4 m/s

Therefore, the speed at which the bungee jumper falls is approximately 15.4 meters per second. This calculation allows us to understand the velocity of the jumper during the bungee jump, highlighting the importance of kinetic energy in such activities.