Determine distance traveled up an incline w/ friction

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SUMMARY

The discussion focuses on calculating the distance a box travels up a 19.0° incline with an initial speed of 3.0 m/s, given a mass of 20 kg and a coefficient of kinetic friction of 0.20. Key equations include F=ma and the friction force equation Ff=μFn, where Fn is the normal force. Participants emphasize the importance of correctly identifying forces acting on the box, including friction, to determine the deceleration and subsequent distance traveled. The solution requires calculating the net force and using kinematic equations to find the distance.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with friction coefficients and their application
  • Knowledge of kinematic equations for motion analysis
  • Ability to draw and interpret free-body diagrams
NEXT STEPS
  • Calculate net force on an object on an incline with friction
  • Learn to apply kinematic equations to solve for distance traveled
  • Study the relationship between normal force and weight components on an incline
  • Explore advanced friction concepts in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined plane problems, as well as educators looking for examples of friction and motion analysis.

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Homework Statement



a box given an initial speed of 3.0 m/s up a 19.0° inclined track. The mass of the box is 20 kg, and the coefficient of kinetic friction between sled and incline is 0.20. How far up the incline does the box move?

Homework Equations



F=ma, n=63.8N, mukN=12.76

The Attempt at a Solution



what do i use to find the forward force, and then determine how far it travels?
 
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Did you draw a force diagram? Ff=uFn, Fn is a component of weight. Is there an answer to compare to?
 
i drew the diagram. no answer to compare to, it's on webassign. do i have to determine the acceleration in the opposite direction based on the friction force?
 
Yes. There is friction force and it cause it to decelerate. Ff=ma, try that.
 
do i use the actual mass times the friction force, or the normal force?
 
Come again?
 
Why in the world would you multiply mass times force at all? Force is "kg m/s2". Mass times force would be "kg2 m/s2" and I don't know any quantity that has those units.
 
i understand that, i misspoke. i wanted to know what mass to use, either the given mass, or a component of it to determine the acceleration.
 
Mass is mass. There is no component of mass, just component of weight.
 

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