Question

║⊕QUESTION⊕║
Physics is, hopefully, simple. Physicists are not.
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CLASS 11
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How many times should the power develop by the engine of a ship increase to double its velocity if the resistance of the water to the motion of the ship increases in proportion to the square of the velocity?

Answer 1

Answer:

Often, ship power is roughly proportional to the cube of the speed, so doubling (2x) the speed of a destroyer from 15 knots to 30 knots will require 23 = 8 times as much power!

Answer 2

Answer:

If the ship speed exists doubled, then the force generated is 8 periods of the initial value.

Explanation:

Velocity can be described as the speed of change of the object's position with respect to a structure of reference and time.

The ship power exists approximately proportionate to the cube of the speed, so

P ∝ v³

If the speed exists doubled, then the force generated becomes

P ∝ (2)³ = 8 times

Therefore, if the shipping speed exists doubles, then the force generated is 8 times the initial value.

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