Problem 2: Spring 2022 Quiz 2 Problem (3 points total) A medical technician is using a needle syringe to administer a liquid vaccine (vac=64lbm/ft3) into a patient (Figure 1). The syringe, which is vertically oriented, has an inner diameter of 0.25 inches. It contains 0.034 fluid ounces of the vaccine, requiring the plunger to be pulled up to a height of 3.3 inches from the bottom of the needle. The needle itself has an inner diameter of 0.01 inches, and the pressure at the bottom of the needle is 0 psig. Friction losses throughout the needle syringe are 10lbfft/lbm. There are no air bubbles inside the syringe. If the technician aims to inject the entire vaccine volume over a period of 5 seconds, calculate the following: A. The volumetric flowrate of the vaccine in units of in 3/s B. The liquid velocities directly below the plunger and at the bottom of the needle in units of in/s C. The required force applied by the medical technician onto the plunger in units of 1bf Figure 1. Schematic of vaccine injection via needle syringe