Friction on Inclines: Find Distance Box Travels Before Stopping

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SUMMARY

The problem involves a box sliding up an incline at an angle of 18.0° with a coefficient of kinetic friction of 0.180 and an initial speed of 2.30 m/s. To determine the distance the box travels before stopping, one must calculate the forces acting on the box, including the gravitational force and the frictional force. The normal force can be derived from the angle of the incline and the gravitational force, allowing for the calculation of acceleration. The solution was successfully reached after determining these forces.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of frictional forces and coefficients
  • Ability to calculate normal force on an incline
  • Basic kinematics for motion analysis
NEXT STEPS
  • Study the calculation of normal force on inclined planes
  • Learn about kinetic friction and its effects on motion
  • Explore kinematic equations for uniformly accelerated motion
  • Practice problems involving forces on inclined surfaces
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Students studying physics, particularly those focusing on mechanics and forces, as well as educators looking for practical examples of friction and motion on inclines.

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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.
 
Last edited:
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Nevermind, I solved the problem.
 

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