A tugboat pulls a barge along a straight canal by exerting a constant horizontal force of

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A tugboat pulls a 5000 kg5000\,\text{kg} barge along a straight canal by exerting a constant horizontal force of 8.0 kN8.0\,\text{kN}. The water exerts a constant resistive force of 2.0 kN2.0\,\text{kN} opposite to the motion. The barge starts from rest and is towed a distance of 200 m200\,\text{m}. (i) Calculate the net work done on the barge over the 200 m200\,\text{m} distance. (ii) What is the kinetic energy of the barge after it has moved 200 m200\,\text{m}? (iii) Determine the speed of the barge at this point. (iv) Compute the average power delivered by the tugboat during the towing operation.

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