The spring constant, k, will be equal to 18 N/m. The spring constant is defined as the force-to-displaced-length ratio.
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 spring constant formula when the spring oscillates at the specified amplitude A:
[tex]\rm k= \frac{v_{max}^2 m}{A} \\\\ k =\frac{3.0 m/s^2 \times 0.250 \ kg}{0.125 \ m} \\\\ k=18 \ N/m[/tex]
Hence, the spring constant, k will be 18 N/m
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