Explanation:
As no external force is applied , therefore the momentum of the system will remain conserved .
The initial momentum = 0 , because the girl with stone in hand is at rest .
When stone is thrown horizontally , its momentum is = m v
Let the velocity of girl after this throwing of stone is v₀
Thus its momentum is M v₀
Therefore the sum of these two momentum should be zero
Hence m v + M v₀ = 0
or v₀ = [tex]\frac{mv}{M}[/tex] This will be the linear velocity of the girl
The angular velocity ω = [tex]\frac{v_0}{R}[/tex] = [tex]\frac{mv}{MR}[/tex]
here R is the radius of wheel