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?
Practice Questions
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Q1
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?
0.1 m
0.2 m
0.4 m
0.5 m
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.
Questions & Step-by-step Solutions
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Q
Q: 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?
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.
