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at construction site a 65kg bucket of concrete hangs from a light cable that pas

ID: 1389479 • Letter: A

Question

at construction site a 65kg bucket of concrete hangs from a light cable that passess over a light pulley and is connected to an 80kg box on a horizontal roof .the cable pulls horizontally on the box and 50kg bag of gravel rests on the top of the box .the coeffictent of friction between the box aand roof are (static friction=0.7 and kinetic fric=0.4).suddenly a worker removed the bag of gravel therefore the bucket and box did move

-use energy of conservation to find the speed of the bucket after it has desended 2m from rest

can anyone solve

at construction site a 65kg bucket of concrete hangs from a light cable that passess over a light pulley and is connected to an 80kg box on a horizontal roof .the cable pulls horizontally on the box and 50kg bag of gravel rests on the top of the box .the coeffictent of friction between the box aand roof are (static friction=0.7 and kinetic fric=0.4).suddenly a worker removed the bag of gravel therefore the bucket and box did move -use energy of conservation to find the speed of the bucket after it has desended 2m from rest can anyone solve

Explanation / Answer

We know that

Loss in P.E = Gain in K.E

mgh = 0.5m(V2 - Vi2)

V2 = ( gh/0.5) + Vi2

V2 =( 10(20) / 0.5) + 102

V2 = 500

V = 22.36m/s      Answer