$\omega_{2}=w -V \cdot \rho_{L} \cdot g$
$w -w _{1}=V \rho_ w g$
$w -w _{2}=v \rho_{L} g$
$\frac{V \rho _L g }{V \cdot \rho_{w} g}$ $=\frac{w-w_{2}}{w-w_{1}}$
$R \cdot D=\frac{\rho_{L}}{\rho_{w}}$
$R \cdot D=\frac{w-w_{2}}{w-w_{1}}$



[Given: $\pi=22 / 7, g=10 ms ^{-2}$, density of water $=1 \times 10^3 kg m ^{-3}$, viscosity of water $=1 \times 10^{-3} Pa$-s.]
$(A)$ The work done in pushing the ball to the depth $d$ is $0.077 J$.
$(B)$ If we neglect the viscous force in water, then the speed $v=7 m / s$.
$(C)$ If we neglect the viscous force in water, then the height $H=1.4 m$.
$(D)$ The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is $500 / 9$.

