JEE MAIN - Physics (2020 - 2nd September Morning Slot - No. 10)

JEE Main 2020 (Online) 2nd September Morning Slot Physics - Work Power & Energy Question 92 English
A small block starts slipping down from a point B on an inclined plane AB, which is making an angle $$\theta $$ with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction $$\mu $$. It is found that the block comes to rest as it reaches the bottom (point A) of the inclined plane. If BC = 2AC, the coefficient of friction is given by $$\mu $$ = ktan $$\theta $$ . The value of k is _________.
Answer
3

Explanation



Apply work energy theorem

Wg + Wf = $$\Delta $$kE

mgsin$$\theta $$ (AC + 2AC) – $$\mu $$mg cos$$\theta $$ $$ \times $$ AC = 0 - 0

$$ \Rightarrow $$ $$\mu $$ = 3tan $$\theta $$

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