A stream of atmospheric air is used to keep a ping-pong ball aloft by blowing the air upward over the ball. The ping-pong ball has a mass of \(2.5 \mathrm{~g}\) and a diameter \(D_{1}=3.8 \mathrm{~cm}\), and the air stream has an upward velocity of \(V_{1}=0.942 \mathrm{~m} / \mathrm{s}\). This system is to be modeled by pumping water upward with a velocity \(V_{2}\) over a solid ball of diameter \(D_{2}\) and density \(ho_{b_{2}}=2710 \mathrm{~kg} / \mathrm{m}^{3}\). In both cases, the net weight of the ball \(W_{b}\) is equal to the air drag,

\[ \mathrm{W}_{b}=\frac{\mathrm{C}_{\mathrm{D}} ho A V^{2}}{2} \]

where \(C_{D}=0.60, ho\) is the fluid density, \(A\) the ball's projected area, and \(V\) the velocity of the fluid upstream from the ball. Determine all possible combinations of \(V_{2}\) and \(D_{2}\). A force balance involving the drag on the ball, the buoyant force on the ball, and the weight of the ball is needed.