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A barge \(B\) is pulled along a canal by a horse \(H\), which is on the tow-path. The barge and the horse move in parallel straight lines and the tow-rope makes a constant angle of \(15 ^ { \circ }\) with the direction of motion (see diagram). The tow-rope remains taut and horizontal, and has a constant tension of 500 N .
- Find the work done on the barge by the tow-rope, as the barge travels a distance of 400 m .
The barge moves at a constant speed and takes 10 minutes to travel the 400 m .
- Find the power applied to the barge.