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1. The problem statement, all variables and given/known data

The problem I have is to determine the coefficient of kinetic friction between two wooden objects, a block and a ramp, using the fewest measurements possible. The initial velocity will be 0. I can measure the angle of incline, the distance travelled along the ramp, the time taken, but should not have to measure mass. I do not currently have any values, but should create an equation. Can I do this, and if so, am I on the right track?

2. Relevant equations

Fnet = ma

Ff = μFN

Δd = V1Δt + ½aΔt²

3. The attempt at a solution

Fnet = ma

Ff - Fg║ = ma

Ff - Fg sin θ = ma

Ff - mg sin θ = ma

Ff = 2Δd/Δt² - g sin θ

μFN = 2Δd/Δt² - g sin θ

μFg┴ = 2Δd/Δt² - g sin θ

μFg cos θ = 2Δd/Δt² - g sin θ

μ = [(2Δd/Δt²) - g sin θ] / Fg cos θ

μ = [(2Δd/Δt²) - g sin θ] / mg cos θ

Note:The substitution of acceleration for 2Δd/Δt² in the 5th line is from the equation Δd = V1Δt + ½aΔt² where V1Δt evaluates to 0.

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# Homework Help: Coefficient of friction on an inclined plane

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