Question

The construction of a water pistol is shown in the figure below. The cylinder with cross-sectional area A, is filled with water and when the piston is pushed (by pulling the trigger), water is forced out the tube with cross-sectional area A. The radius of the cylinder and tube are, respectively, 1.50 cm and 1.40 mm, and the center of the tube is a height h = 3.00 cm above the center of the cylinder. (Assume atmospheric pressure is 1.013 x 105 Pa.) A2 (a) If the pistol is fired horizontally at a height of 1.40 m, determine the time interval (in s) required for water to travel from the nozzle to the ground. Neglect air resistance. (b) If the desired range of the stream is 7.50 m, with what speed v, (in m/s) must the stream leave the nozzle? m/s (c) At what speed v, (in m/s) must the plunger be moved to achieve the desired range? m/s (d) What is the pressure (in Pa) at the nozzle? Pa

Answer 1

H1.4m eae (douonward positive) motion H- 1s4= 9.8 xt2 14 2 49 J/ t = O.S35 S t o.53SS ea of along motion aux's (a-0) 75- 7.S V2 = 14.02 m/s O.535 V2 z 14,02 MIs

214.02 - 6 (i.4y 10 ) AZT2 6. 158 X10 A, T antrary Pppy ng A.VI A2 V 6. 158 R/O 6 Az V x 14,02 AI 069x10y 12.21 X 10 Oo 1221 m|s at the nozzel is atmosphervic pressure expos ed Presswre otmosphere it aus 1.013 x 10 N/m2 PR= I.013x 10 Pa P=FIA,? 14002 m/S V2 O.1221 r 2 - 3 x 10 m h2 P=103 1water)

Bernoulli 's equation P1 + 4.02 P+x10Co. 1221) o 1,0131D t /o9.8x 3x10 P,t. 454 013X10t 38280.2 +294 P, 1.013 X (0 O. 9828 10 t .002865 x 1DS 1.398 x10 Pa RE F/A 1.998 x10 x 7. 063 x10 F PIAI = F 141.238 N

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