(a) Determine the velocity of the block at point B. 1 m/s (b) Determine the ther

Question

(a) Determine the velocity of the block at point B.
1 m/s

(b) Determine the thermal energy produced as the block slides fromB to C.
2 J

(c) Determine the velocity of the block at point C.
3 m/s

(d) Determine the stiffness constant k for the spring.
4 N/m Consider the track shown in the figure. The section AB is onequadrant of a circle of radius r = 1.9 m and is frictionless. B to C is a horizontalspan 2.7 m long with a coefficient ofkinetic friction muk = 0.25. The section CD underthe spring is frictionless. A block of mass 1 kg is released fromrest at A. After sliding on the track, it compresses the spring by0.20 m. (a) Determine the velocity of the block at point B. 1 m/s (b) Determine the thermal energy produced as the block slides fromB to C. 2 J (c) Determine the velocity of the block at point C. 3 m/s (d) Determine the stiffness constant k for the spring. 4 N/m

Explanation / Answer

c) PE=W+KE, so KE=PE-W=(1.9)(9.8)(1)-6.615J=12.005 J and12.005J=1/2mv2, so v=4.9 m/s d) Now KE=PE, so 1/2mv2=1/2kx2 ormv2=kx2 sok=mv2/x2=(1kg)(4.9)2/(.2)2=600.25N/m

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