Coefficient of Friction - F = ma (AQA A-Level Mathematics): Flashcards

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Coefficient of Friction - F = ma
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Definition of friction

Resistive force opposing motion between surfaces in contact

μ\mu is what type of quantity?

Dimensionless quantity

Formula for coefficient of friction μ\mu

μ=FfrictionN\mu = \frac{F_{\text{friction}}}{N}

What is static friction (μs\mu_s)?

Frictional force that must be overcome to start motion

What is kinetic friction (μk\mu_k)?

Frictional force acting on object already in motion

Formula for frictional force

Ffriction=μNF_{\text{friction}} = \mu N

Normal force on horizontal surface

N=mgN = mg

Net force on horizontal surface with friction

F−μmg=maF - \mu mg = ma

Normal force on inclined plane (angle θ\theta)

N=mgcos⁡θN = mg \cos \theta

Acceleration on inclined plane with friction

a=g(sin⁡θ−μcos⁡θ)a = g(\sin \theta - \mu \cos \theta)

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