Question

A 2.0 kg mass attached to an ideal spring oscillates horizontally with an amplitude of 0.30m. The spring constant is 85 N/m. What is the frequency of the mass motion?

Answer 1

To find the frequency of the mass's motion, we can use the formula:

$f=\frac{1}{2\pi }\sqrt{\frac{k}{m}}$

where:

• $f$ is the frequency of the motion,
• $\pi$ is a mathematical constant approximately equal to 3.14159,
• $k$ is the spring constant, and
• $m$ is the mass.

Given: $k=85\text{N/m}$ $m=2.0\text{kg}$

Substituting the given values into the formula, we get:

$f=\frac{1}{2\pi }\sqrt{\frac{85\text{N/m}}{2.0\text{kg}}}$