Question: A mass attached to a spring oscillates with a maximum speed of 4 m/s. If the spring constant is 100 N/m, what is the maximum displacement?

Options:

1. 0.1 m
2. 0.2 m
3. 0.4 m
4. 0.5 m

Correct Answer: 0.4 m

Solution:

Maximum speed v_max = ωA, where A is the amplitude. We have ω = √(k/m). Here, k = 100 N/m and m = 1 kg (assuming). Thus, A = v_max/ω = 4/10 = 0.4 m.