Moving blocks connected by a spring Two identical 0.11 kg blocks (labeled 1 and

Question

Moving blocks connected by a spring Two identical 0.11 kg blocks (labeled 1 and 2) are initially at rest on a nearly frictionless surface, connected by an unstretched spring, as shown in the upper diagram, where x2-0.05 m. Then a constant force of 8 N to the right is applied to block 2, and at a later time the blocks are in the new positions shown in the lower diagram, where x-0.01 m and x3 0.11 m. At this final time, the system is moving to the right and also vibrating, and the spring is stretched Initial2 Final MOTION OF THE CENTER OF MASS OF THE EXTENDED SYSTEM What is the initial location of the center of mass of the extended system? XCM,intial What is the final location of the center of mass of the extended system? XCM,final How far did the center of mass of the extended system move?

Explanation / Answer

intial location (x1, x2) = (0.01, 0.05m)

COM = m1x1 + m2x2/2 = 0+ 0.05)/2 = 0.025 m
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final location of COM = m1x1 + m2x3/2m  

as her em1 = m2 = m

COM finally = m(x1 +x3)/2m = (x1+x3)/2

COm finally = (0.01 + 0.11)/2 = 0.06 m

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Dispacemnt = 0.06 - 0.025 = 0.035 m

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