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Consider the system shown in the figure (Figure 1) . The rope and pulley have ne

ID: 1287596 • Letter: C

Question

Consider the system shown in the figure (Figure 1) . The rope and pulley have negligible mass, and the pulley is frictionless. Initially the 6.00-kg block is moving downward and the 8.00-kg block is moving to the right, both with a speed of 0.600m/s . The blocks come to rest after moving 4.00m .

A)Use the work-energy theorem to calculate the coefficient of kinetic friction between the 8.00-kg block and the tabletop.

Consider the system shown in the figure (Figure 1) . The rope and pulley have negligible mass, and the pulley is frictionless. Initially the 6.00-kg block is moving downward and the 8.00-kg block is moving to the right, both with a speed of 0.600m/s . The blocks come to rest after moving 4.00m . A)Use the work-energy theorem to calculate the coefficient of kinetic friction between the 8.00-kg block and the tabletop.

Explanation / Answer

By work energy theorem,

work done by all forces = change in KE

so ,

work done by friction + work done by gravity = change in KE

- 8* g* mu * 4 + 6* g* 4 = 0 - 1/2* ( 8+6)*0.6^2 ,

so,
solving it ,

mu = 0.758