A hypodermic syringe contains a medicine with the density of water (figure below). The barrel of the syringe has a cross-sectional area of 2.18 10-5 m2. In the absence of a force on the plunger, the pressure everywhere is 1.00 atm. A force of magnitude 1.78 N is exerted on the plunger, making medicine squirt from the needle. Determine the medicine's flow speed through the needle. Assume the pressure in the needle remains equal to 1.00 atm and that the syringe is horizontal. I assume the Bernoulli equation is needed pv1^2/2 + p1 = pv2^2/2 + p2 = constant pgh would be irrelevant as the needle is horizontal, hence can be removed from both sides of the equation. So far I have P1 = 101 325 + 1.78/2.18*10^-5 = 182976.38 (2dp) where do I go from here? Any help would be awesome.