Jumping on a trampoline and energy conserved/ not conserved

[menotyou9]

Homework Statement

So I am jumping on a trampoline and need to look at the different systems and which ones are conserving energy and which ones are not conserving energy. Time-initial= when I am at the lowest point of the trampoline, and Time-final= when I am 1/2 on my way down.
Systems :
me
trampoline
me+earth
me+ trampoline

Homework Equations

Work= difference in energy

The Attempt at a Solution

As me as the system I do not conserve energy because I change potential energy.
Trampoline changes potential so it also does not conserve energy
Me and Tramp would be energy conserved because there is no outside force acting on the system.
Me + Earth would be energy not conserved because I change energy causing the whole system to change.


So where I've gone wrong and not sure where.

 

[mgb_phys]

The way to look at it is to consider all the ways energy is stored in the system (you+ trampoline).
Kinetic energy - when you are moving
Potential energy - how high you are above the ground
Spring energy - how stretched the trampoline is

At each point in the bounce consider which combination of these has the energy.

 

[baba89]

I would like to provide a more thorough explanation and clarification on the concept of energy conservation in this scenario.

Firstly, it is important to understand that energy cannot be created or destroyed, it can only be transferred from one form to another. This is known as the law of conservation of energy. With this in mind, let's look at the different systems involved in this scenario.

1. Me as the system: When I am jumping on the trampoline, my body is constantly changing between potential energy (when I am at the highest point) and kinetic energy (when I am at the lowest point). This means that my body is not conserving energy, but rather converting it from one form to another.

2. Trampoline as the system: The trampoline also changes between potential and kinetic energy as it stretches and compresses with my jumps. However, the trampoline itself does not lose or gain any energy, it simply transfers it from one form to another. Therefore, the trampoline does conserve energy.

3. Me + Earth as the system: In this system, the trampoline is considered as a part of the Earth's system. When I jump on the trampoline, the Earth exerts a force on me, causing me to move up and down. This means that the energy is transferred between me and the Earth, and the total energy of the system remains constant. Therefore, this system also conserves energy.

4. Me + Trampoline as the system: In this system, both me and the trampoline are exerting forces on each other. As I jump, I push down on the trampoline, causing it to stretch and store energy. When the trampoline pushes back, it propels me upwards, converting the stored energy back into kinetic energy. This means that the total energy in this system is conserved.

In conclusion, energy is conserved in all the systems involved in jumping on a trampoline. The only difference is how the energy is being transferred and converted between different forms. I hope this explanation helps to clarify any confusion and provides a more accurate understanding of energy conservation in this scenario.