Question

A mass of 10 g is attached to an ideal massless spring with constant of 10 n/m. at time 0.0 s, the mass is at maximum displacement. when is the next time the mass will be at maximum displacement?

a. 0.2
b. 0.1
c. 0.4
d. 0.3

Answer 1

The next time the mass will be at maximum displacement is approximately 0.198 s, which is closest to option a. 0.2.

Step-by-step explanation:

To determine when the mass will be at maximum displacement again, we can use the formula for the period of oscillation of a mass-spring system:

T = 2π√(m/k)

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

In this case, the mass is 10 g, which is equal to 0.01 kg, and the spring constant is 10 N/m. Plugging these values into the formula:

T = 2π√(0.01/10) = 2π√(0.001) = 2π * 0.0316 ≈ 0.198 s

Therefore, the next time the mass will be at maximum displacement is approximately 0.198 s, which is closest to option a. 0.2.