A tugboat pulls a barge along a canal with a steady horizontal force of

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A tugboat pulls a barge along a canal with a steady horizontal force of 30 kN30\,\text{kN}. The engine of the tug develops a constant power of 90 kW90\,\text{kW}. (i) Find the constant speed with which the barge can be towed. Give your answer in m s−1\text{m\,s}^{-1}. (ii) The canal stretch to be covered is 4.5 km4.5\,\text{km}. Calculate the time taken to complete this journey at the speed found in part (i). (iii) Determine the total work done by the tug on the barge during this journey.

Related theory

Browse the problem library