Mechanical Energy of a Mass-Spring System

What is mechanical energy?

The energy that an object possesses as a result of its motion or position is known as mechanical energy.

Answer:

Mechanical energy is the energy that an object holds as a result of its motion or position. Potential energy and kinetic energy are two different kinds of mechanical energy (stored energy of position). In the physical sciences, mechanical energy is the sum of kinetic and potential energy. Mechanical energy is constant in an isolated system when only conservative forces are at work on it, according to the mechanical energy conservation principle.

When it comes to a mass-spring system, it is essentially a spring system with a block suspended from or affixed to the spring's free end. Typically, the period of any harmonically moving object may be calculated using the spring-mass system. The mechanical energy is equal to the potential energy of the spring at the maximum displacement (since v=0 at this point).

The formula to calculate mechanical energy in a mass-spring system is:

E = (1/2)kA^{2} = (1/2)(246 N/m)(5.30 m)^{2} = 3455.04 J

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