5 A block of mass \(m \mathrm {~kg}\) is at rest on a horizontal plane. The coefficient of friction between the block and the plane is 0.2 .
- When a horizontal force of magnitude 5 N acts on the block, the block is on the point of slipping. Find the value of \(m\).
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When a force of magnitude \(P \mathrm {~N}\) acts downwards on the block at an angle \(\alpha\) to the horizontal, as shown in the diagram, the frictional force on the block has magnitude 6 N and the block is again on the point of slipping. Find
(a) the value of \(\alpha\) in degrees,
(b) the value of \(P\).