P. 3889. A syringe is filled with water. Its volume is 20 cm3, and the cross section of its interior part is 4 cm2. The syringe is held vertically such that its nozzle is at its top, and its 100 g piston is pressed and moves with a constant speed. The ejected water has an initial upward velocity of 2 m/s, and the cross-section of the beam of water at the nozzle is 1 mm2. (Neglect the dissipated energy due to friction.)
a) Find the speed of the piston.
b) What is the total work done by us?
c) Express and graph the force exerted on the piston as a function of time.
Deadline expired on 11 May 2006.