5. In this question use \(g = 10 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). A particle of mass 3 kg rests in limiting equilibrium on a rough plane inclined at \(30 ^ { \circ }\) to the horizontal.
a Find the exact value of the coefficient of friction between the particle and the plane. A horizontal force of 36 N is now applied to the particle.
b Find how far down the plane the particle travels after the force has been applied for 4 s .
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