Speed Boat Motors

motor gives average power when moving at constant speed, when motor is pulling a skier what is tension in rope?

The motor of a ski boat generates an average power of 3.96 × 104 W when the boat is moving at a constant speed of 13.6 m/s. When the boat is pulling a skier at the same speed, the engine must generate an average power of 9.31 × 104 W. What is the tension in the tow rope that is pulling the skier?

The average power required to pull skier = P = (9.31 – 3.96)e4 W
P = 5.35e4 W = 53500 J/s = FV {where F = tension in tow rope & V = 13.6 m/s}
F = 53500/13.6 = 3934 N ≈ 3930 N {to 3-digit sig} ANS

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