Question

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Question 2 (a) Fig. Q2a shows a 1.8 kg block A placed in front of a compression spring, initially compressed by 40mm from its neutral position. Given that the spring constant k= 6000 N/m and the kinetic coefficient of friction between block (A) and the floor is pk = 0.1. The block A is released from rest and travels towards the right Compression Spring 40 mm wwww! A 00 Fig. 2a Determine the velocity of the block when x = 0.2m (10 marks) Determine the maximum displacement of block A from its starting position (5 marks) (ID)

Answer 1

Anya Given that guistial displ. a = 40 mm = 0.04 Mars, = laky ON/m cott of fortes, He 501 Spring Const. K=6000 40mm A its motion Velocity of the block when x = 0.2m The fou oching on the spring during F = MN = Hing work done by fiction = F(x-2) - Mmg (x-2) potential energy of Spring = 1 K (x-xj² = I muz the tuitial kinetic energy is stored as potential energy as energy last against fiction, guitical Kinetic energy in the spring ang

1 1 mw² = 1 KX-x} + {my son) ² Iv=bord 0.2-0.04 1.8 2x0] X98] 26.16 v= 9.25 m/sec. min of block Ansb): - Moxin displacement A from its starting position. ama Considering intical displacement. write the energy balance equatica from starting positinin e Kracht simgesmerot mv2 2

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