Assume that the largest stone of mass 'm' that can be moved by a flowing river depends upon the velocity of flow v, the density d & the acceleration due to gravity g. I 'm' varies as the `K^(th)` power of the velocity of flow, then find the value of K.

Answer

`K=6`

Explanation

`m prop [v]^(k) [d]^(x)[g]^(y)`
`[M^(1)L^(0)T^(0)]=[LT^(-1)]^(k)[ML^(-3)]^(x)[LT^(-2)]^(y)`
`rArr x=1, k-3x+y=0, -K-2y=0`
`rArr x=1, y=-3`, and `K=6`