A sailboat moves north for a distance of 10.00 km when blown by a wind from the exact southeast with a force of 2.00 × 10^4 N. The sailboat travels the distance in 1.0 h. How much work was done by the wind? What was the wind’s power? Your response should include all of your work and a free-body diagram

Respuesta :

Astute
Hey there,

Your question states: A sailboat moves north for a distance of 10.00 km when blown by a wind from the exact southeast with a force of 2.00 × 10^4 N. The sailboat travels the distance in 1.0 h. How much work was done by the wind? What was the wind’s power? Your response should include all of your work and a free-body diagram

So by doing this, we do the force x
's the work. 

[tex]P = e4*10[/tex]

We would divide this by . . .

[tex]3600s[/tex]

[tex]P = e4*10[/tex] ÷ [tex]3600s[/tex]

Your correct answer would be . . .

[tex]55.56w[/tex]

Hope this helps.
~Jurgen


work = 2.00x10^4 x 10.00 x10^3 x cos(45) = 1.41x10^8 Joules


Power = w/t = 1.41x10^8 Joules / 1.0x 3600seconds = 39.2 kilowatts