The resistance force arising due to pressure difference at the front and rear sides of a body in a fluid stream depends upon the density of the fluid, the velocity of flow and the maximum area of cross-section perpendicular to the flow. Show that the force varies as the square of the velocity.

Answer

`Fmuv^(2)`

Explanation

`Fprop (rho)^(a) (v)^(b)(A)^(c)`
`k(rho)^(a)(v)^(b)(A)^(c) " " ]k rarr "Proposnality constant"]`
`rArr MLT^(-2)=k(ML^(-3))^(a)(LT^(-1))^(b)(L^(2))^(c)`
`rArr a=1,-3a-b+2c=0,rArr-b+2c=3`
& `-b=-2 rArrb=2`
`rArr F=(rho)(V)^(2)(A)^(1)`
`rArrF prop V^(2)`