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The spring constant, k will be 18 N/m.The ratio of force to one unit of displaced length is known as the spring constant.
Spring constant is defined as the ratio of force per unit displaced length.
Given data;
Mass of block,m=0.250 k
Amplitude,A = 0.125 m
Velocity,V=3.00 m/
Spring constant,K=?
The formula for the spring constant when the spring is oscillate at the given amplitude A:
[tex]\rm K = \frac{V_{max}^2 m}{A} \\\\ K = \frac{3.0 \times 0.250}{0.125} \\\\ K=18 \ N/m[/tex]
Hence, the spring constant, k will be 18 N/m
To learn more about the spring constant, refer:
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