A 60 kg worker pulls buckets of sand from height of 10 m using a pulley fixed to a wooden beam.While he is pulling a 20 kg bucket filled with sand he slips and falls down holding the rope.Assuming that the worker did not collide with bucket,find the velocity of the worker at the moment of striking the ground and the maximum height to which the bucket can ascend

Question

A 60 kg worker pulls buckets of sand from height of 10 m using a pulley fixed to a wooden beam.While he is pulling a 20 kg bucket filled with sand he slips and falls  down holding the rope.Assuming that the worker did not collide with bucket,find the velocity of the worker at the moment of striking the ground and the maximum height to which the bucket can ascend

bobpursley · Answer

net force down=g(60-20)=(total mass)a a=40/80 g vf^2=2a*10 the bucket: it is accelerating upward until it gets to 10 m, then has vf upward. at the top... vf^2=0= 20a+2g(h-10) solve for h.