(a)[2]
Determine the time taken for $P$ to move $1.44\,\text{m}$ from its point of release.
(b)[4]
Determine $\mu$.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
A particle $P$ with mass $0.4\,\text{kg}$ rests on a rough horizontal floor. The coefficient of friction between $P$ and the floor is $\mu$. A force of magnitude $3\,\text{N}$ acts on $P$ upwards at an angle $\alpha$ above the horizontal, where $\tan \alpha = \frac{3}{4}$. Initially the particle is at rest, and its acceleration is $2\,\text{m}\,\text{s}^{-2}$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Application of $s = ut + \tfrac12 at^2$ with $u = 0$, $s = 1.44$ and $a = 2$, leading to $1.44 = \tfrac12 \times 2 \times t^2$” …
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