(a) Explanation Pressure is stated as the ratio of the force applied on the piston to the cross-sectional area of the piston as given below: P = F A Here, P is the pressure, F is the force and A is the area of the cross-section. The pressure under both the piston must be same because the student and elephant stand at the same height from the ground as shown below: P 1 = P 2 F 1 A 1 = F 2 A 2 m g π r 2 = M g π r e 2 …… (1) Here, m is the mass of the student, M is the mass of the elephant, g is the acceleration due to gravity, r e is the radius of the piston on which elephant is standing and r is the radius of the piston on which student is standing. Fluid in the hydraulic lift is oil. As the second student also joins the first one then the piston will shrink by 35 cm so the piston on which elephant is standing also rises by the same. Therefore, both the students and elephant is not now standing on the same height. So the difference in height of both the student and elephant from the ground is given as follows: h = 0.40 m+ ( 0.40 m ) ( 0.24 m ) 2 h = 0.42 m Then there is also a addition of hydraulic pressure exerts on the lift in equation (1) as given below: M 2 g π ( d 2 4 ) = ρ g h M 2 = ρ h π ( d 2 4 ) …… (2) Here, ρ is the density of oil, h is the height, d is the diameter of the piston on which both the student is standing, M 2 is the mass of the second student (b) To determine The mass of second student

1st Edition

ISBN: 9781323834831

Author: Knight

Publisher: PEARSON C

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Concept explainers

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

Question

Chapter 14, Problem 42EAP

(a)

To determine

The diameter of the piston on which the student is standing

(b)

To determine

The mass of second student

Expert Solution & Answer

Chapter 14 Solutions

PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<

Ch. 14 - Prob. 1CQ Ch. 14 - Prob. 2CQ Ch. 14 - Prob. 3CQ Ch. 14 - Prob. 4CQ Ch. 14 - Prob. 5CQ Ch. 14 - Rank in order, from largest to smallest, the...Ch. 14 - a, b, and C in FIGURE Q14.7 have the same volume....Ch. 14 - a, b, and c in FIGURE Q14.7 have the same density....Ch. 14 - Prob. 9CQ Ch. 14 - Gas flows through the pipe of FIGURE Q14.10. You...

Ch. 14 - Prob. 11CQ Ch. 14 - Prob. 12CQ Ch. 14 - Prob. 13CQ Ch. 14 - What is the volume in mL of 55 g of a liquid with...Ch. 14 - Prob. 2EAP Ch. 14 - Prob. 3EAP Ch. 14 - A 6.0m12.0m swimming pool slopes linearly from a...Ch. 14 - A 1.0-m-diameter vat of liquid is 2.0 m deep. The...Ch. 14 - Prob. 6EAP Ch. 14 - A 3.0-cm-diameter tube is held upright and filled...Ch. 14 - a. What volume of water has the same mass as 8.om3...Ch. 14 - A 50-cm-thick layer of oil floats on a...Ch. 14 - A research submarine has a 20-cm-diameter window...Ch. 14 - A 20-cm-diameter circular cover is placed over a...Ch. 14 - Prob. 12EAP Ch. 14 - Prob. 13EAP Ch. 14 - Prob. 14EAP Ch. 14 - 15. How far must a 2.0-cm-diameter piston be...Ch. 14 - A 6.00-cm-diameter sphere with a mass of 89.3 g is...Ch. 14 - Prob. 17EAP Ch. 14 - Prob. 18EAP Ch. 14 - Prob. 19EAP Ch. 14 - Prob. 20EAP Ch. 14 - What is the tension of the string in FIGURE...Ch. 14 - 22. A 10-cm-diameter, 20-cm-tall steel cylinder (=...Ch. 14 - You need to determine the density of a ceramic...Ch. 14 - Prob. 24EAP Ch. 14 - Prob. 25EAP Ch. 14 - Prob. 26EAP Ch. 14 - A long horizontal tube has a square cross section...Ch. 14 - Prob. 28EAP Ch. 14 - Prob. 29EAP Ch. 14 - Prob. 30EAP Ch. 14 - A 2.0 mL syringe has an inner diameter of 6.0 mm,...Ch. 14 - Prob. 32EAP Ch. 14 - Prob. 33EAP Ch. 14 - Prob. 34EAP Ch. 14 - Prob. 35EAP Ch. 14 - Prob. 36EAP Ch. 14 - Prob. 37EAP Ch. 14 - Prob. 38EAP Ch. 14 - Prob. 39EAP Ch. 14 - Prob. 40EAP Ch. 14 - 41. A friend asks you how much pressure is in your...Ch. 14 - Prob. 42EAP Ch. 14 - Prob. 43EAP Ch. 14 - 44. A U-shaped tube, open to the air on both ends,...Ch. 14 - Prob. 45EAP Ch. 14 - Prob. 46EAP Ch. 14 - An aquarium of length L, width (front to back) W,...Ch. 14 - Prob. 48EAP Ch. 14 - Prob. 49EAP Ch. 14 - 50. A cylinder with cross-section area A floats...Ch. 14 - Prob. 51EAP Ch. 14 - Prob. 52EAP Ch. 14 - Prob. 53EAP Ch. 14 - Prob. 54EAP Ch. 14 - A plastic "boat" with a square cross section...Ch. 14 - Prob. 56EAP Ch. 14 - Prob. 57EAP Ch. 14 - Prob. 58EAP Ch. 14 - Prob. 59EAP Ch. 14 - Prob. 60EAP Ch. 14 - Prob. 61EAP Ch. 14 - Prob. 62EAP Ch. 14 - Prob. 63EAP Ch. 14 - Prob. 64EAP Ch. 14 - A hurricane wind blows across a 6.0m15.0m flat...Ch. 14 - Prob. 66EAP Ch. 14 - Prob. 67EAP Ch. 14 - A water tank of height h has a small hole at...Ch. 14 - Prob. 69EAP Ch. 14 - Prob. 70EAP Ch. 14 - 71. The bottom of a steel "boat" is a piece . The...Ch. 14 - Prob. 72EAP Ch. 14 - Prob. 73EAP Ch. 14 - Prob. 74EAP Ch. 14 - Prob. 75EAP

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