Similar to Ilomework 5 problem 1, we consider a multi-cavity injection molding process for polystyrene with a consistency index m of 2000Pan and a power-law index n of 0.3 , as shown in Fig. 1. To achieve equal part quality, the filling time for all cavities must be balanced. For a bal anced runner system, the flow rates into all cavities must match. Assuming an isothermal flow of a non-Newtonian shear-thinning polymer with viscosity =mn1, we can relate the flow rate in a tube to the pressure drop: Q=s+3R3(2mLR(panp)), where s=1. Values of pan and pour are the inlet and outlet pressure in a tube with a radius of R and length of L. In this problem, consider Q (flow rate in a mold) =10cm3/s,L1=20cm,R1=5mm,L2=10cm, and R2=3mm. The radius (R2) and length (L2) after the junction point toward the molds are the same. A. Determine pressure at sprue and junction. Specify all equations clearly. B. Assume fluid is Newtonian with a viscosity of 2000Pas, re-calculate pressure values, and compare the resul ts with those obtained in A