Physics

This problem connects the spring constant to the mass through the period of oscillation—the key is recognizing that a stiffer spring and heavier mass both affect how fast the system oscillates. The period formula $T = 2\pi\sqrt{\frac{m}{k}}$ captures this relationship: rearrange it to isolate mass, then substitute your known values for $T$ and $k$ to find $m$.

This problem connects the spring constant to the mass through the period of oscillation—the key is recognizing that a stiffer spring and heavier mass both affect how fast the system oscillates. The period formula $T = 2\pi\sqrt{\frac{m}{k}}$ captures this relationship: rearrange it to isolate mass, then substitute your known values for $T$ and $k$ to find $m$.