A 046-Kg Block Is Held in Place Against the Spring by by a 30-N

Multiple Choice

A 0.46-kg block is held in place against the spring by a 30-N horizontal external force. The external force is removed, and the block is projected with a velocity $v_{1} = 1.2 \mathrm {~m} / \mathrm { s }$ upon separation from the spring, as shown in the figure. The block descends a ramp and has a velocity $v_{2} = 1.5 \mathrm {~m} / \mathrm { s }$ at the bottom. The track is frictionless between points A and B. The block enters a rough section at point B, extending to E. The coefficient of kinetic friction between the block and the rough surface is 0.38. The velocity of the block is $v_{3} = 1.4 \mathrm {~m} / \mathrm { s }$ at point C. The block moves on to D, where it stops. What distance does the block travel between points B and D?

A) 0.30 m
B) 0.039 m
C) 0.26 m
D) 0.40 m
E) 0.60 m