A block of mass 800 N rests on a horizontal plane as shown in Fig. 5. Find the magnitude of force ' $P$ ' required to give the block an acceleration of, $a=4 \mathrm{~m} / \mathrm{s}^{2}$ to the right. The coefficient of friction between the block and the plane is 0.30 . Fig. 5
Explanation
To find the magnitude of force 'P', we need to consider the forces acting on the block. The force 'P' is applied to the right, and the frictional force acts to the left. The net force acting on the block is given by P - μ * m * g, where μ is the coefficient of friction, m is the mass of the block, and g is the acceleration due to gravity. Since the block is accelerating to the right, the net force must be equal to the mass of the block multiplied by the acceleration. Therefore, P = m * (a + μ * g).
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