The Gulf Stream off the east coast of the United States can flow at a rapid 3.3 m/s to the north. A ship in this current has a cruising speed of 8.0 m/s . The captain would like to reach land at a point due west from the current position.

Part B) At this heading, what is the ship's speed with respect to land?

2.29 m/s

Explanation:

given,

Speed of the stream to north,x = 3.3 m/s

speed of the ship,z = 8 m/s

Speed of the stream is in north direction, to move the ship in west direction ship should move in south direction.

To solve this a right angle triangle is constructed.

where speed of the stream is base and speed of cruise is hypotenuse.

now, speed of ship with respect to ground

z² = x² + y²

y² = z² - x²

y² = 8² - 3.3²

y = 2.29 m/s

Hence, the speed of the ship with respect to ground is equal to 2.29 m/s.

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.