Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2m/s towards the front block kept at rest. The spring attached to the front block is light and has a spring constant 50 N/m. The maximum compression of the spring is given by
m, then find X.

Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(2 m)
Sol. For maximum compression, velocity of each block is same.
By momentum conservation.
1 × 2 = 1 × v + 1 × v
v = 1 m/s
By energy conservation.
× 1 × 2 2 =
× 1 × (1) 2 +
× 1 × (1) 2 +
kx 2
x = 0.2 m
= 2/10 m
X = 2m
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