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λD D Figure 1 Figure 1 shows a pipe of diameter 2D which terminates in a re-entrant nozzle of diameter D. Liquid of density p flows along the pipe and separates from the edge of the nozzle to form a jet of diameter d. The gauge pressure in the pipe is P, and the uniform velocity in the jet is V. The nozzle is of sufficient length to ensure that the velocity of the motion over the blanked end of the pipe is negligible (i.e. can be considered to be zero). Ignoring viscous and gravity effects, a) show that Bernoulli's equation may be written as P PV² [7 marks] b) show that the momentum equation in the form (2²+1) P PV² -G)-(***)* 2¹ [13 marks] Reminder: the velocity at the blanked end of the nozzle can be considered zero.