A mass-spring system oscillates with an amplitude of 5.30 cm. if the spring constant is 246 n/m and the mass is 583 g, determine the mechanical energy of the system.



Answer :

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

What is mechanical energy?

The energy that an object possesses as a result of its motion or position is known as mechanical energy. Kinetic energy, or the energy of motion, and potential energy are two types of mechanical energy (stored energy of position). Mechanical energy is the total of kinetic and potential energy in the physical sciences. According to the principle of mechanical energy conservation, mechanical energy is constant in an isolated system when only conservative forces are acting on it.

Simply said, a mass-spring system is a spring system with a block hung or fastened to the free end of the spring. Typically, the spring-mass system can be used to determine the period of any object moving harmonically.

The mechanical energy is equal to the potential energy of the spring at the maximum displacement (since v=0 at this point).

[tex]E = (1/2)kA^{2} = (1/2)(246N/m)(5.30 m)^{2}[/tex]

 =3455.04j

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