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Use energy conservation principle.
At max. compression of the spring:
1. PE of the spring = 0.5 * 4 * 1*1 = 2 J
2. Energy lost via friction = 2*10*0.1 = 2 J
So the KE of the block at the instant of collision with the spring = 2 + 2 = 4 J
Hence its speed = 2 m/s
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