Question

a bucket filled with water having a mass of 15 kg is raised from a well of depth 12 with the help of a rope if the work done to do so is 2160 the linear density of the rope is​

Answer 1

Mass of the bucket: 15 kg

Mass of the rope: m

Height: 12 m

Work done: 2160 J

(Mass of the bucket + Mass of the rope) × gh = 2160

(m + 15) × 10 × 12 = 2160

m = 3 kg

we know centre of mass of the rope lies in the middle of the rope i.e. 6 m away from the bucket.

so linear density of rope = mass/distance of centre of mass 3/6 = 0.5 kg/m

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