Question

Figure 7A ttr V3 A 182 kg block is held in place against the spring by a83 N horizontal external force. removed, and the block is projected with a velocityv1-1.2m/supon separation descends a ramp and has a velocityv2-1.8 m/s at the bottom. The track is frictionless between points A and The track is frictionless between points A and B. The block enters a rough section at B, extending to E. The coefficient of kinetic friction is 0.32. The velocity of the block is v3-1Am/s at C.The block moves on to D where it stops. In Figure 7.4, the force constant of the spring is closeşt tou from the spring The block E) 2630 N/m A) 2100 N/m B) 760 N/m C) 1170 N/m D) 1310 N/m

Answer 1

as per hooke's law

F = kx

83/ x = k.. (i)

Considering energy conservation

0.5 k x^2 = 0.5 m v^2

83 / x * x^2 = 1.82* 1.2^2

x = 0.0316 m

putting in (i)

k = 2630 N/m

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