# Its Not that easy!!

A block of mass $$2 \ \text{kg}$$ slides down an inclined plane of inclination $$30^{\circ}$$. The coefficient of friction between the block and plane is $$0.5$$. The magnitude of contact force between block and plane can be expressed in the form $$\sqrt{a} \ \text{N}$$ where $$a$$ is a positive nonsquare integer.

Find the sum of digits in $$a$$.

Assume the plane is fixed. Take $$g = 10 \ \text{ms}^{-2}$$.

This Question Is Inspired From An Old JEE Question

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