Today I will be talking about the physics behind a barbie bungee jumping.
1/3 of the way down: about 33% of the energy is kinetic, and the rest is potential.
The amount of energy at the top is the same as the amount of energy at the bottom. Energy is not gained or lost, and the total energy stays the same the whole time.
At the very bottom: 100% of the energy is elastic.
2/3 of the way down: 55% of the energy is kinetic, 34% is potential, and 11% is kinetic.
At the top of the bungee jump (the beginning), 100% of the energy is potential.
Actual Height of Jump (m)
Gravitational Potential Energy is predicted by multiplying the following:
Mass of Barbie (kg)
Acceleration of Gravity (9.8 m/s/s)
Elastic Potential Energy is potential energy stored in an elastic object, such as a rubber band or a compressed spring. At the bottom of the bungee jump, where the spring is completely stretched, it reached its maximum elastic energy. Because energy is not created or destroyed, the elastic energy at the bottom is equal to the potential energy at the top.
A safety factor is extremely important to include for a bungee jump. The bungee cord can only support a certain amount of force before breaking, so including a safety factor ensures the safety of the jumpers if they abide to the max amount of force allowed.
The K Constant is the force it takes to pull something that is elastic, divided by the stretch of the cord. In simpler terms, it is the "stretchiness" of the chord. Different objects have different K values because different chords require different forces to stretch them.
Mass, K Constant, and stretch are all related during a bungee jump. The stretch of the chord is affected by the K Constant and mass. The greater the mass, the more force will be used when stretching the chord. The greater the K constant, the "stretchier" the chord will be.
The relationship between Force vs. Stretch (for a bungee cord) is a linear relationship. This means that when the chord is pulled, the force to increase it increases at the same rate as the distance it is stretched.