A luxury liner has a diesel-electric powerplant with a maximum power of 83 MW at a cruising speed of 39.4 knots. What forward force is exerted on the ship at this speed?

4.09 MN

Explanation:

P (max) = 83 MW

Speed = 39.4 knots

1 knot = 1.852 km/h

Speed in km/h = 39.4 * 1.852

= 72.9688 km/h

= (72.9688*1000) / 3600

= 20.27 m/s

The exerted force is F

P = Fv

P = |F| |v| cos α

P = |F| * 20.27cos 0

P = 20.27F

F = (83 * 10^6) / 20.27

F = 4.09 * 10^6

F = 4.09MN