JEE PYQ: Laws Of Motion Question 15
Question 15 - 2020 | 03 Sep Shift 2] (Numerical)
A block starts moving up an inclined plane of inclination $30°$ with an initial velocity of $v_0$. It comes back to its initial position with velocity $\frac{v_0}{2}$. The value of the coefficient of kinetic friction between the block and the inclined plane is close to $\frac{I}{1000}$. The nearest integer to $I$ is ____.
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Answer: 346
Solution
Using $a_1 = 4a_2$: $1 + \sqrt{3}\mu = 4 - 4\sqrt{3}\mu$, $5\sqrt{3}\mu = 3$, $\mu = 0.346$. $I = 346$.