Question

A spring with a spring constant of 1.5 × 10² N/m is attached to a 1.3 kg mass and then set in motion. What is the period of the mass-spring system? Answer in units of seconds.

a. 0.5 s
b. 1.0 s
c. 1.5 s
d. 2.0 s

Answer 1

The period of the mass-spring system is 2.0 seconds.

Step-by-step explanation:

To find the period of the mass-spring system, we can use the formula:

T = 2π√(m/k)

where T is the period, m is the mass, and k is the spring constant.

Plugging in the given values, we have:

1. m = 1.3 kg
2. k = 1.5 × 10² N/m

Substituting these values into the formula, we get:

T = 2π√(1.3/(1.5 × 10²))

T ≈ 2.0 s

Therefore, the period of the mass-spring system is 2.0 seconds, which means that the correct answer is option d.