## anonymous one year ago A sailboat moves north for a distance of 10.00 km when blown by a wind from the southeast with a force of 5.00 × 10^4 N. How much work was done by the wind? A. 0.00 J B. 3.54 * 10^5 J C. 3.54 * 10^8 J D. 5.00 * 10^8 J

1. Michele_Laino

here is the situation described by your exercise: |dw:1433093509593:dw|

2. anonymous

yes:)

3. Michele_Laino

so the requested work is given by the subsequent formula: $\begin{gathered} W = Fd\cos \l|dw:1433093749565:dw|eft( {45} \right) = 5 \times {10^4} \times {10^3} \times \cos 45 \hfill \\ \hfill \\ \end{gathered}$

4. anonymous

the equation you wrote does not show on my side :(

5. Michele_Laino

oops... $W = Fd\cos \left( {45} \right) = 5 \times {10^4} \times {10^3} \times \cos 45$

6. anonymous

okay! so we get 35355339.06?

7. anonymous

so our solution is choice C?

8. Michele_Laino

yes! it is 3.54 * 10^8 joules (approximated value)

9. anonymous

yay!! :) so onto the next one!! :P

10. Michele_Laino

ok!