Find Tension in Motorboat Towline: Homework Solution

[cturtle]

Homework Statement

The engine of a motorboat delivers 30.0 kW to the propeller while the boat is moving at 15.0m/s. What would be the tension in the towline if the boat were being towed at the same speed?

The Attempt at a Solution

I used P= FV to find F= 2000N, but now I don't know how to find tension. Please help!

 

[Perillux]

Please excuse me if I am wrong, but unless anyone says otherwise, I believe that you have found the answer.
You found the force required to move the boat at 15m/s (F=2kN). So to move that boat at the same speed (15m/s) should require the same amount of force. It's just being applied in a different way.

 

[cturtle]

Thanks so much! I figured it out a little after I posted the question, but thanks for confirming my thoughts!