A 1.0 kg block at rest on a tabletop is attached to a horizontal spring having c

Question

A 1.0 kg block at rest on a tabletop is attached to a horizontal spring having constant 19.6 N/m as in Figure P13.12. The spring is initially unstretched. A constant 20 N horizontal force is applied to the object, causing the spring to stretch. Figure P13.12 (a) Determine the speed of the block after it has moved 0.800 m from equilibrium if the surface between the block and tabletop is frictionless. (b) Answer part (a) if the coefficient of kinetic friction between block and tabletop is 0.200.

Explanation / Answer

W=F*d =20*0.8 = 16J

U =0.5*19.6*0.8^2 =6.272J

K=E-U = 9.728

v = 4.410 m/sec

b)work done by friction = umg*x = 0.2*10*0.8 =1.6J

9.728-1.6 = 8.128 =1/2m*v^2

v = 4.031 m/sec

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