Exam-Style Problem

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Feb/Mar 2020 p42 q2
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A particle P of mass 0.4 kg is on a rough horizontal floor. The coefficient of friction between P and the floor is \(\mu\). A force of magnitude 3 N is applied to P upwards at an angle \(\alpha\) above the horizontal, where \(\tan \alpha = \frac{3}{4}\). The particle is initially at rest and accelerates at 2 m/s\(^2\).

(a) Find the time it takes for P to travel a distance of 1.44 m from its starting point.

(b) Find \(\mu\).

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