Question

Please help this is for a test and i need a good grade lollll

"the wind force f on a sail varies jointly as the area al of the sall and the square of the wind speed w.
the force on a sail with area an area of 500 p? is 64.8 pounds when the wind speed is 18 mph. what
would be the force for a sail with an area of 250 f12 with a wind speed of 35 mph"

please show step by step work tysmmmm <3

Answer 1

The force on a sail with an area of 250 al and a wind speed of 35 mph would be approximately 617.5 pounds.

Step-by-step explanation:

To solve this problem, we can use the formula for varations jointly:

f = k × al × w²

where f is the force, al is the area of the sail, w is the wind speed, and k is a constant that we need to find. We can use the given values to find k:

64.8 = k × 500 × 18²

Solving this equation gives us k ≈ 0.0144. Now we can use this value to find the force for a sail with an area of 250 al and a wind speed of 35 mph:

f = 0.0144 × 250 × 35²

f ≈ 617.5 pounds