# The aircraft carrier USS George Washington has mass 1.0 ×108kg. When its engines are developing their full power of 260,000 hp, the George Washington travels at its top speed of 35 knots ( 65 km/h). If 68 % of the power output of the engines is applied to pushing the ship through the water, what is the magnitude of the force of water resistance that opposes the carrier’s motion at this speed?

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The aircraft carrier USS George Washington has mass 1.0 ×108kg. When its engines are developing their full power of 260,000 hp, the George Washington travels at its top speed of 35 knots ( 65 km/h).

If 68 % of the power output of the engines is applied to pushing the ship through the water, what is the magnitude of the force of water resistance that opposes the carrier’s motion at this speed?

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Step 1

Let Pout be the total power output of the engines, P is the power used to push the ship through the water, F is the force applied by the water in the opposite direction, v be the speed of the ship.

Write the given values of question.

Step 2

Write the expression for power P supplied by the engine to push the ship through the water.

Step 3

Write the expression for the resistance for...

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