An engine moves a boat through the water at a constant speed of 16 m/s. The engine must exert a force of 7.0 103 N to balance the force that water exerts against the hull. What power does the engine develop?
answer:___ kW
To find the power developed by the engine, we can use the formula:
Power = Force × Velocity
Given that the engine exerts a force of 7.0 x 10^3 N and the boat moves at a constant speed of 16 m/s, we can substitute these values into the formula to find the power:
Power = (7.0 x 10^3 N) × (16 m/s)
Now we can calculate the power:
Power = 1.12 x 10^5 N m/s
To convert this to kilowatts (kW), we need to divide the power by 1000:
Power = (1.12 x 10^5 N m/s) / 1000
Power = 112 kW
Therefore, the power developed by the engine is 112 kW.