Two buckets of mass 17.1 kg and 11.3 kg are attached to the ends of a massless rope which passes over a pulley with a mass of 17.3 kg and a radius of 0.45 m Assume that the rope does not slip on the pulley, and that the pulley rotates without friction.
The buckets are released from rest and begin to move. If the larger bucket is a distance 1.95m above the ground when it is released, with what speed v will it hit the ground?
bucket 1 higher than bucket 2
Acceleration, a = (m1 - m2) g/[m1 + m2 + (m/2)]
a = (17.1 - 11.3) x 9.8/[17.1 + 11.3 + (17.3/2)]
a = 1.53 m/s^2
Velocity, v = sqrt(2as)
v = sqrt(2 x 1.53 x 1.95) = 2.45 m/s
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