no. if you look closely, the horizontal line is the distance across the ravine, and the 2m is your rope before you go. what are the other two lines?
hint: the hypotenuse in the picture is 2m
that doesn't mean they are the same. the mass pulls more on the top string because the mass is below it, so the top string fights gravity and the lower string in the y direction. the x and y of both strings are ___?
no, it is. hoever there are an infinite number of possibilities for the velocities of both objects. they are not necessarily equal. something else is conserved, and using it will get you an answer.
there is no velocity in the end either. there are only three forces, and you need to draw them in. you already said that Fg is straight down, while Fn is perpendicular to the grade and Ff is parallel.