(a) Find the force P that must be applied to a piston of area 11.60 cm2 to produce sufficient fluid pressure to support a car weighing 10,001 N by means of a column of fluid of cross sectional area 285 cm2 as seen in the figure below. (b) Find the increase in the car's gravitational potential energy when it is raised 1.00 m. (c) How far must the smaller piston move in order for the larger one to move 1.00 m?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 114AP: The left ventricle of a resting adult's heart pumps blood at a flow rate of 83.0 cm3/s , increasing...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
 
(a) Find the force P that must be applied to a piston of area 11.60 cm2 to produce sufficient fluid pressure to support a car weighing 10,001 N by means of a column of fluid of cross sectional area 285 cm2 as seen in the figure below.


(b) Find the increase in the car's gravitational potential energy when it is raised 1.00 m.


(c) How far must the smaller piston move in order for the larger one to move 1.00 m?


(d) Calculate the work done by P in moving the smaller piston.
The image illustrates a hydraulic lift system using Pascal's principle. It shows a car placed on a large piston connected to a narrow, horizontal tube containing fluid. On the left, another narrow vertical piston is marked with a downward arrow labeled "P," indicating applied pressure.

### Explanation:

1. **Hydraulic System:**
   - The system consists of two pistons of different sizes connected by a fluid-filled chamber.
   
2. **Pressure Application (P):**
   - Pressure is applied to the smaller piston on the left. According to Pascal's principle, any change in pressure applied to an enclosed fluid is transmitted undiminished throughout the fluid.

3. **Lifting Mechanism:**
   - The large piston on the right supports the car. When pressure is applied to the small piston, it is transmitted through the fluid, creating an upward force that lifts the car.

4. **Principle of Operation:**
   - The system demonstrates how hydraulic lifts can magnify force. Since pressure is constant throughout the fluid, a small force applied to the smaller piston results in a larger force on the larger piston, enabling it to lift heavy objects like cars.

This setup is commonly used in car workshops for the underbody maintenance of vehicles.
Transcribed Image Text:The image illustrates a hydraulic lift system using Pascal's principle. It shows a car placed on a large piston connected to a narrow, horizontal tube containing fluid. On the left, another narrow vertical piston is marked with a downward arrow labeled "P," indicating applied pressure. ### Explanation: 1. **Hydraulic System:** - The system consists of two pistons of different sizes connected by a fluid-filled chamber. 2. **Pressure Application (P):** - Pressure is applied to the smaller piston on the left. According to Pascal's principle, any change in pressure applied to an enclosed fluid is transmitted undiminished throughout the fluid. 3. **Lifting Mechanism:** - The large piston on the right supports the car. When pressure is applied to the small piston, it is transmitted through the fluid, creating an upward force that lifts the car. 4. **Principle of Operation:** - The system demonstrates how hydraulic lifts can magnify force. Since pressure is constant throughout the fluid, a small force applied to the smaller piston results in a larger force on the larger piston, enabling it to lift heavy objects like cars. This setup is commonly used in car workshops for the underbody maintenance of vehicles.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Fluid Pressure
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning