Further Forces & Newton's Laws (AQA A-Level Mathematics): Quizzes

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Coefficient of Friction - F = ma
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What type of force is friction?

A resistive force

What is the nature of the coefficient of friction μ\mu?

Dimensionless quantity

Which type of friction must be overcome to start the motion of an object?

Static friction μs\mu_s

What is the formula for the frictional force FfrictionF_{\text{friction}}?

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

How is the coefficient of friction μ\mu defined?

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

On an inclined plane at angle θ\theta, what is the normal force NN?

N=mgcosθN = mg \cos \theta

For a horizontal surface with friction, what is the net force equation?

Fμmg=maF - \mu mg = ma

What is the acceleration formula for an object on an inclined plane with friction?

a=g(sinθμcosθ)a = g (\sin \theta - \mu \cos \theta)

A 10 kg box pushed with 60 N where μk=0.2\mu_k = 0.2. What is the acceleration?

4.04m/s24.04 \, \text{m/s}^2

A 5 kg block on a 30° incline with μk=0.3\mu_k = 0.3. What is the acceleration?

2.35m/s22.35 \, \text{m/s}^2

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