Friction on Inclines: Find Distance Box Travels Before Stopping

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A box slides up an incline at an angle of 18.0° with an initial speed of 2.30 m/s and a coefficient of kinetic friction of 0.180. The user initially struggled to calculate the normal force and frictional force due to the unknown mass of the box. However, they eventually solved the problem without needing the mass. The discussion highlights the importance of understanding forces on inclined planes and the role of friction in motion. The solution emphasizes that even without all variables, the problem can still be approached effectively.
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Homework Statement


A box is sliding up an incline that makes an angle of 18.0° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box at the bottom of the incline is 2.30 m/s. How far does the box travel along the incline before coming to rest?

Homework Equations


F = ma

The Attempt at a Solution


I tried to figure out the Normal Force so that I could figure out the force of friction, and thus determine the acceleration. However, I don't have the mass of the box so I cannot figure out the Normal force.
 
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Nevermind, I solved the problem.
 
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