How Far Does the Sled Travel Before Stopping?

AI Thread Summary
A girl coasts down a hill on a sled, reaching a speed of 6.2 m/s on level ground, where the coefficient of kinetic friction is 0.059 and her combined weight with the sled is 736 N. The main question is how far the sled travels before stopping, but the poster expresses frustration over insufficient information to calculate the sled's deceleration. They are unsure about the forces at play, particularly the need for the hill's angle to determine acceleration. The poster seeks assistance in understanding the problem and feels overwhelmed by missing variables in their calculations. The discussion highlights the challenges of applying physics concepts to solve real-world problems.
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Homework Statement


A girl coasts down a hill on a sled, reaching level ground at the bottom with a speed of 6.2 m/s. The coefficient of kinetic friction between the sled’s runners and the hard, icy snow is 0.059, and the girl and sled together weigh 736 N.The acceleration of gravity is 9.81 m/s2 .
How far does the sled travel on the level ground before coming to a rest?


Homework Equations


Vf^2 = Vi^2 + 2ax

Ffr (force friction) = Coefficient of friction * Fn (normal force)

The Attempt at a Solution


I'm thinking that I have to find the acceleration of the girl and the sled, but I don't think that I am given enough information necessary to solve for that. I just do not know how to approach the problem.
 
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What kind of forces are involved that affect her motion?

What exactly you think you are not given?
 
I think that I need the angle of the hill she is sliding down to find out the acceleration because I certainly think that she is sliding down the hill, and I know that friction affects her motion.
 
I also know that there is acceleration involved at some point, but I don't know how long it took her to decelerate from 6.2 m/s to 0 m/s. I'm REALLY FRUSTRATED at this point because whenever I setup Force and Kinematic equations, I'm always missing TWO variables. I would like someone to HELP me. The problem, I think, fails to give me enough information....

Damion (sorry for the rant!)
 
Fg acts down on the sled while Fn keeps the sled on the ground. Ffr acts to the right because I assume she is moving to the left. However, is the hill at an angle? I think it is, but if it is, I don't know how to find the angle. PLEASE, SOMEBODY HELP!
 
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