A spring supporting a mass of 30 kg compresses 0.6 m. How far does the spring compress when it supports a mass of 10 kg?

A. 0.1 m

B. 0.2 m

C. 1.2 m

D. 1.8 m

Applying Hooke's law, F = k|deltax|, spring constant can be estimated using the given,

k = (30 kg) (9. m/s) / 0.6

k=490. Upon obtaining the value of the spring constant, the amount by which the 10kg mass would be compressed can be estimated using the same formula,

F=k|deltax|

(10) (9.8) / 490 = 0.2 m (option B)