At a construction site, a65.0 kg bucket of concrete hangsfrom a light (but strong) cablethat passes over a light, frictionfreepulley and is connected to an80.0 kg box on a horizontal roof. The cable pulls horizontallyon the box, and a 50.0 kgbag of gravel rests on top of thebox. The coefficients of frictionbetween the box and roof areshown. (a) Find the friction forceon the bag of gravel and on the box. (b) Suddenly a worker picks up thebag of gravel. Use energy conservation to find the speed of the bucketafter it has descended 2.00 m from rest. (Use Newton’s laws to checkyour answer.)

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At a construction site, a
65.0 kg bucket of concrete hangs
from a light (but strong) cable
that passes over a light, frictionfree
pulley and is connected to an
80.0 kg box on a horizontal roof
. The cable pulls horizontally
on the box, and a 50.0 kg
bag of gravel rests on top of the
box. The coefficients of friction
between the box and roof are
shown. (a) Find the friction force
on the bag of gravel and on the box. (b) Suddenly a worker picks up the
bag of gravel. Use energy conservation to find the speed of the bucket
after it has descended 2.00 m from rest. (Use Newton’s laws to check
your answer.)

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