A spring with a constant of $2 \frac{k g}{s^{2}}$ $2 (kg)/s^2$ is lying on the ground with one end attached to a wall. An object with a mass of $4 k g$ $4 kg$ and speed of $8 \frac{m}{s}$ $8 m/s$ collides with and compresses the spring until it stops moving. How much will the spring compress?

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Answer 1 · 2016-05-19T01:41:17

8 $\sqrt{2}$ $sqrt(2)$

Transfer kinetic energy into elastic energy
$\frac{1}{2} m v^{2} = \frac{1}{2} k x^{2}$ $1/2mv^2=1/2kx^2$

A spring with a constant of 2kgs22 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 4kg4 kg and speed of 8ms8 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?