A spring is resting vertically on a table. A small box is dropped onto the top of the spring and compresses it. Suppose the spring has a spring constant of 450 N/m and the box has a mass of 1.5 kg. The speed of the box just before it makes contact with the spring is 0.49 m/s.

(b) What is the magnitude of the spring's displacement when the spring is fully compressed?

1 answer

F = mg - kx
ma = mg -kx
when a equals zero
kx = mg
x=mg/k
Plug and chug your numbers