1. A block of mass M sitting on a rough horizontal surface with co-efficient of kinetic friction (nu) is connected on its left and right via two pulleys to two masses, m1 and m2, respectively.
a. If the block starts out moving to the right at speed, n0 and m1 < m2 , what condition must be satisfied for the block to slow down and eventually come to a stop?
b. If this condition is satisfied, how long will it take for the block to come to rest?
c. How much work did the kinetic friction do? Calculate this in two ways: by computing the work directly via the work integral and then compute the work using the work-energy theorem.
d. Compute the power that the friction performs.
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