A spring with a constant of #1 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #2/5 kg# and speed of #1/4 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
Kinetic energy before this reaction is
Therefore, according to conservation,
Now we can put in what we know of the values and rearrange to find