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IbrahimA

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## Homework Statement

A skier on a slope inclined at 4.7 degrees to the horizontal pushes on ski poles and starts down the slope. The initial speed is 2.7 m/s. The coefficient of kinetic friction between skis and snow is 0.11. Determine how far the skier will slide before coming to rest.

Answer on the book:

**13m**

## Homework Equations

Fnetx = (-Ff) + Fa + (-Fgx)

Fnety = Fn + (-Fgy)v2^2 = v1^2 + 2ad

## The Attempt at a Solution

I went by creating two equations:

Fnetx = (-Ff) + Fa + (-Fgx)

ma = -Fn(u) + Fa + mg(sin4.7)

m was canceled out on both sides.

Fn(u) = Fa + g(sin4.7) - a

(1) Fn = Fa + g(sin4.7) - a / u

Fnety = Fn + (-Fgy)

ma = Fn + (m)(-g)(cos4.7)

again canceled out m on both sides

(2) Fn = a + gcos4.7

Correction: Equation 2 is Fn = gcos4.7

And so I did substitution and subbed in both equations to solve for acceleration (a) but the problem is that

**Fa**is also unknown:

(9.8)cos4.7 =

**Fa**+ (9.8)(sin4.7) -

**a**/ 0.11

So I'm wondering if there is a better way to do this problem, because I feel like I'm doing to wrong.

I included a fbd diagram:

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