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The engine of a motor boat delivers 30 kW to the propeller while the boat is moving at 15 m/s. What would be the tension in the tow line if the boat were being towed at the same speed?

Respuesta :

Tension in tow line is 2000 N

Explanation:

Power is the ratio of work and time.

[tex]Power, P = \frac{W}{t}[/tex]

Work = Force x Displacement

W = F x d

Here force is tension, T

So

           W = T x d

Substituting

            [tex]Power, P = \frac{T\times d}{t}=Tv[/tex]

We have

          Power, P = 30kW = 30000 W

          Velocity, v = 15 m/s

Substituting

             30000 = T x 15

            Tension, T = 2000 N

Tension in tow line, T = 2000 N      

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