Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A particle with mass $2\text{ kg}$ starts from rest on a rough horizontal plane. A force of size $10\text{ N}$ acts on the particle at $15^\circ$ above the horizontal. It is stated that $10\text{ s}$ after the force is applied, the particle has a speed of $3.5\text{ m s}^{-1}$.
(i)[3]

Show that the size of the frictional force is $8.96\text{ N}$, accurate to $3$ significant figures.

(ii)[3]

Find the coefficient of friction between the particle and the plane.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: So $3.5 = 10a \Rightarrow a = 0.35\text{ m s}^{-2}$ (or $a = \frac{3.5}{10}$)

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