The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of the speed s of the boat. A boat with a wet surface area of 83 ft 2 traveling at 20 mph experiences a drag force of 996 N. Find the wet surface area of a boat traveling 18 mph and experiencing a drag force of 1215 N.

Question

Physics

Marilyn Russell

12 May, 15:13

The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of the speed s of the boat. A boat with a wet surface area of 83 ft 2 traveling at 20 mph experiences a drag force of 996 N. Find the wet surface area of a boat traveling 18 mph and experiencing a drag force of 1215 N.

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Answers (1)

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Cannon Blevins · Answer 1

Wet surfaces areaA=+25.3ft^2

Explanation:

Using F = K*A * S^2

Where F = drag force

A = surface area

S = speed

Given : F=996N S=20mph A = 83ft^2

K = F/AS^2=996 / (83*20^2)

K = 996/33200 = 0.03

1215 = (0.03) * A * 18^2

1215=9.7A

A=1215/9.7=125.3ft^2