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notka56 [123]
3 years ago
14

A mass-spring system oscillates with an amplitude of 4.60 cm. If the spring constant is 234 N/m and the mass is 524 g, determine

the mechanical energy of the system.
Physics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

Mechanical energy, U = 0.247 Joules

Explanation:

Given that,

Spring constant of the spring, k = 234 N/m

Mass, m = 524 g = 0.524 kg

Amplitude, A = 4.6 cm = 0.046 m

To find,

The mechanical energy of the system.

Solution,

We know that the sum of kinetic energy and the potential energy is equal to its mechanical energy. In mass-spring system, it is given by :

U=\dfrac{1}{2}kA^2

U=\dfrac{1}{2}\times 234\times (0.046)^2

U = 0.247 Joules

So, the mechanical energy of the system is 0.247 Joules.

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