Question

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.

Answer 1

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.