mass 4 kg starts slipping down the incline from a point 4.6 m away from the spring. The block compresses the spring by 40 cm, stops momentarily and then rebounds through a distance of 3 m up the incline. If the spring constant of the spring is 
N/m, then value of x is. Take g = 10 m/s 2 .
Text Solution
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(9)
Sol.
Work energy theorem (Between A & C)
W f + W G + W sp = Δ K
⇒ mg cos θ (5 + 3) + mg 2 sin θ = 0
⇒ µ = 
tan 37 o
= 
work energy theorem (bet. A & B)
W sp + W G + W f = Δ K
mg 5 sin 37 o – µ mg 5 cos θ – 
K (0.4) 2 = 0
(4 × 10) 
= 
× 
K
K = 9000/ 8 N/m so x = 9
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