Determine distance traveled up an incline w/ friction

[Cbookman]

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?

 

[silvashadow]

Did you draw a force diagram? Ff=uFn, Fn is a component of weight. Is there an answer to compare to?

 

[Cbookman]

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?

 

[silvashadow]

Yes. There is friction force and it cause it to decelerate. Ff=ma, try that.

 

[Cbookman]

do i use the actual mass times the friction force, or the normal force?

 

[silvashadow]

Come again?

 

[HallsofIvy]

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.

 

[Cbookman]

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.

 

[silvashadow]

Mass is mass. There is no component of mass, just component of weight.