Question

A bucket of water 50kg is raised from a depth of 100m to the ground by a rope the mass of the rope is 1kg per meter what is work done

Answer 1

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Answer 2

Hey dear,

◆ Answer-

W = 98 kJ

◆ Explaination-

# Given-

μ = 1 kg/m

M = 50 kg

h = 100 m

# Solution-

For bucket,

Weight = Mg

Displacement = h

Work done in lifting just the bucket is -

Work = Force × Displacement

W1 = Mg × h

W1 = 50 × 9.8 × 100

W1 = 49000 J

For rope -

Weight = μhg

Displacement = h/2 ...(as centre of gravity is at middle of rope)

Work done in lifting just the rope is -

Work = Force × Displacement

W2 = μhg × h/2

W2 = 1 × 100 × 9.8 × 100 / 2

W2 = 49000 J

Total work done is

W = W1 + W2

W = 49000 + 49000

W = 98000 J

W = 98 kJ

Total work done is 98 kJ.

Hope this is helpful...