A 0.150-kg air track cart is attached to an ideal spring with a force constant (spring constant) of 3.58 N/m and undergoes simple harmonic oscillations. What is the period of the oscillations?
A) 1.14 s
B) 1.29 s
C) 0.263 s
D) 0.527 s
E) 2.57 s

Question

A  0.150-kg air track cart is attached to an ideal spring with a force constant (spring constant) of  3.58 N/m and undergoes simple harmonic oscillations. What is the period of the oscillations?
A)  1.14 s
B)  1.29 s
C)  0.263 s
D)  0.527 s
E)  2.57 s

Quizplus · Accepted Answer

The period $T$ of a mass $m$ attached to a spring with spring constant $k$ undergoing simple harmonic motion is given by $T = 2\pi\sqrt{\frac{m}{k}}$. Plugging in the given values, $m = 0.150 \, \text{kg}$ and $k = 3.58 \, \text{N/m}$, we get $T = 2\pi\sqrt{\frac{0.150}{3.58}} \approx 1.29 \, \text{s}$.

A 0150-Kg Air Track Cart Is Attached to an Ideal Spring