Answer to Question #87485 in Classical Mechanics for Sanjay

Question

2 block of equal mass m 1 kg are attached to a spring . Block b colloides with block a with velocity v=2m/s find maximum compression in the spring.( K=200)

Answer 1

From the conservation of energy:

$$0.5mv^2=0.5kx^2$$

$$x=v \sqrt{\frac{m}{k}}=2 \sqrt{\frac{1}{200}}=0.14m=14 cm$$