From the given figure, Mass of the blocks are m. What is the velocity of `m_(2)` in `m s^(-1)` when `m_(2)` falls by 9 m?

(Take `g=10 ms^(-2))`

Answer

4

Explanation

From constraints we can show that if at any time velocity of m2 is v, then velocity of mi will be 4v.
Similarly, for displacement, applying work-energy theorem, `K_(f) - K_(1)` = work done= W
`(1)/(2)m_(2)v^(2)+(1)/(2)m_(1)(4v)^(2)=m_(2)gxxy` where `-mu m_(1)g(4y)`,
`y=9 m rArr v= 4 ms^(-1)`