# Velocity of a sled and the angle of its sail [closed]

I have this mechanics problem, and, through I got an answer, I'm not sure at all it is the right one:

Imagine a sled with a single sail, which behaves like a solid body and is restricted to move along the x axis. Let $\alpha$ be the angle between the sail and the x axis. The wind is blowing at constant velocity in the direction of the y axis. Calcule the velocity the sled as a function of $\alpha$.

A scheme of the situation:

My take is to assume, on the $y$ axis $$v_{sled}=0$$ and, on the $x$ axis, from $v_{sled}m_{sled}=v_{wind}m_{wind}$, obtain

$$v_{sled}= \frac{m_{wind}}{m_{sled}}v_{wind} = \frac{\delta l cos (\alpha)}{m_{sled}}Vcos(\alpha) = \frac{\delta l V}{m_{sled}}cos²(\alpha)$$ where $\delta$ is wind's superficial density, $V$ is wind's total velocity and $l$ is the large of the sail

Thank you very much.

PD: I know sailing physics are much more complicated, I'm just interested on this particular problem.

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