A block of mass 50 kg is projected horizontally on a rough horizontal floor. The coefficient of friction between the block and the floor is 0.1. The block strikes a light spring of stiffness k = 100 N/m with a velocity 2m/s. The maximum compression of the spring is:
Text Solution
Verified by ExpertsThe correct answer is:
A
W S + W f = Δ K
– Δ U + W f = – K i
– U f – μ mgx = – K i
K x 2 + μ mgx = 
mu 2
100 x 2 + 2(0.1) (50) (10) x = 50 × 4
x 2 + x – 2 = 0
x = 1 m
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