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 1.20 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 1.20 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 7.90 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 (e) Find the pressure (in Pa) needed in the cylinder. Pa (f) Calculate the force (in N) that must be exerted on the trigger to achieve the desired range. (The force that must be exerted is due to pressure over and above atmospheric pressure. Enter the magnitude.) N

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 1.20 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 1.20 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 7.90 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 (e) Find the pressure (in Pa) needed in the cylinder. Pa (f) Calculate the force (in N) that must be exerted on the trigger to achieve the desired range. (The force that must be exerted is due to pressure over and above atmospheric pressure. Enter the magnitude.) N

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Description: 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 (bypulling the trigger), water is forced out the tube with cross-sectional area A,. The rad

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

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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 1.20 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 10° Pa.)
A2
A
(a) If the pistol is fired horizontally at a height of 1.20 m, determine the time interval (in s) required for water to travel from the nozzle to the ground. Neglect
air resistance.
S
(b) If the desired range of the stream is 7.90 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?
Ра
(e) Find the pressure (in Pa) needed in the cylinder.
Ра
(f)
Calculate the force (in N) that must be exerted on the trigger to achieve the desired range. (The force that must be exerted is due to pressure over and
above atmospheric pressure. Enter the magnitude.)
N

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Step 2: Calculation of the time of travel and velocity of the water coming out the nozzle

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Step 3: Calculation of the speed of the piston

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