A small block of mass $$\(5 \mathrm{~kg}\)$$ lies at rest on a rough horizontal plane. The coefficient of friction between the block and the plane is $$\(\frac{3}{7}\)$$ A force of magnitude $$\(P\)$$ newtons is applied to the block in a direction which makes an angle of $$\(30^{\circ}\)$$ with the plane, as shown in Figure 1. The block is modelled as a particle. Given that $$\(P=14\)$$ (a) find the magnitude of the frictional force exerted on the block by the plane and describe what happens to the block, justifying your answer. (6) The value of $$\(P\)$$ is now changed so that the block is on the point of slipping along the plane. (b) Find the value of $$\(P\)$$ (6)

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