Conservation of Energy: The Fun Trampoline Calculation!

What is the term "energy conservation" mean?

Energy efficiency a basic rule of physics and chemistry states that despite internal changes, the overall energy in an isolated system remains constant. It is the underlying principle of the first rule of thermodynamics, which is most frequently stated as "energy cannot be generated or destroyed."

How to calculate the compression distance in the trampoline?

Given, Mass m = 32 kg, restoring force k = 5000 N/m, height h = 1 m. According to the concept of Conservation of energy...

Answer:

The compression distance of the trampoline is calculated using the concept of Conservation of energy. By considering the initial and final potential energy, elastic potential energy, and kinetic energy, the compression distance x is determined to be -0.422 m.

Energy conservation is a fundamental principle in physics and chemistry that states the total energy in an isolated system remains constant despite internal changes. It is encapsulated in the first law of thermodynamics, which asserts that energy cannot be created or destroyed.

Calculation Method:

To calculate the compression distance in the trampoline, the initial and final total energy, along with potential and kinetic energies, are considered. The equation is set up based on the conservation of energy principle, and the compression distance x is solved accordingly.

In this scenario with a child jumping on a trampoline, the compression distance x is found to be -0.422 m. It is important to note that the negative value of x represents the compressing of the spring in this context.

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