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)...
Related questions
Question
100%
Prove that F= m (2x/t^2) from equations (2.1) – (2.4).
![1. To detemine the relation between force, mass and acceleration.
2. To detemine the value of acceleration đue to gravity, g from principle of conservation of
energy.
Introduction
Newton's Second Law of Motion
Newton's second law of motion relates force to acceleration according to the equation
F = mā
(2.1)
where F is the net force, m is the mass of the object and a is the acceleration in the same
direction as the force.
In this experiment, this relationship is investigated by measuring the acceleration of an object
travelling with different force. The force exerted on the object can be measured using spring
scales. Ignoring friction and air resistance, the object will keep on moving with constant
acceleration when the force is exerted. The relation between displacement, velocity,
acceleration and time is given in the equations for motion of constant acceleration below.
1
x= X, + vgt +at
(2.2)
(2.3)
v = v, + at
y = v + 2a(x-x,)
(2.4)
If the displacement, x and time, 1 of the object is measured, the acceleration of the object can
be determined from equations (2.2) - (2.4). From the acceleration, the force can be written as](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e313ff3-61a9-4fab-8e1a-5d65c41963fc%2F72692a34-f8af-4201-be17-ff7c290aa236%2Fh87dufb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. To detemine the relation between force, mass and acceleration.
2. To detemine the value of acceleration đue to gravity, g from principle of conservation of
energy.
Introduction
Newton's Second Law of Motion
Newton's second law of motion relates force to acceleration according to the equation
F = mā
(2.1)
where F is the net force, m is the mass of the object and a is the acceleration in the same
direction as the force.
In this experiment, this relationship is investigated by measuring the acceleration of an object
travelling with different force. The force exerted on the object can be measured using spring
scales. Ignoring friction and air resistance, the object will keep on moving with constant
acceleration when the force is exerted. The relation between displacement, velocity,
acceleration and time is given in the equations for motion of constant acceleration below.
1
x= X, + vgt +at
(2.2)
(2.3)
v = v, + at
y = v + 2a(x-x,)
(2.4)
If the displacement, x and time, 1 of the object is measured, the acceleration of the object can
be determined from equations (2.2) - (2.4). From the acceleration, the force can be written as
![Task 1: Newton's Second Law of Motion
1.
Prove that F = m
2x
from equations (2.1)-(2.4).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e313ff3-61a9-4fab-8e1a-5d65c41963fc%2F72692a34-f8af-4201-be17-ff7c290aa236%2F4wqxsu2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Task 1: Newton's Second Law of Motion
1.
Prove that F = m
2x
from equations (2.1)-(2.4).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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.Recommended textbooks for you
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON