The force required to row a boat over the sea is proportional to the square of the speed of the boat. It is found that it takes 24 hp to row a certain boat at a speed of 8 k m hr - 1 , the horsepower required when speed is doubled

Question

The force required to row a boat over the sea is proportional to the square of the speed of the boat. It is found that it takes 24 hp to row a certain boat at a speed of 8 k m hr - 1 , the horsepower required when speed is doubled, 12 hp, 48 hp, 96 hp, 192 hp

MARKS App · Accepted Answer

Given, F ∝ v 2 As power is given by P = F v Therefore P ∝ v 3 P 2 P 1 = v 2 v 1 3 P 2 24 = 2 v v 3 P 2 24 = 8 P 2 = 192 hp

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