Problems [1] Show that the expression x-vt+1/2ar is dimensionally correct, where x is a coordinate and has units of length, v is velocity, a is acceleration, and r is time. [2] Which of the equations below are dimensionally correct? (a) v= votat (b) y=(2m)cos(k), where k=2 m. [3] Show that the equation v v+ 2at is dimensionally correct, where v and v, represent velocities, a is acceleration and x is a distance.

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)...
icon
Related questions
Question
Unit 1
Problems
[1] Show that the expression x-vt+1/2ar is dimensionally correct, where x is a coordinate
and has units of length, v is velocity, a is acceleration, and t is time.
[2] Which of the equations below are dimensionally correct?
(a)
v = votat
(b) y (2m)cos(kx),
where k=2 m'.
[3] Show that the equation v v+2at is dimensionally correct, where v and vo represent
velocities, a is acceleration and x is a distance.
[4] The period T of simple pendulum is measured in time units and given by
1-20
where I is the length of the pendulum and g is the acceleration due to gravity. Show that the
equation is dimensionally correct.
[5] Suppose that the displacement of a particle is related to time according to the expression
s= cr. What are the dimensions of the constant c?
Transcribed Image Text:Unit 1 Problems [1] Show that the expression x-vt+1/2ar is dimensionally correct, where x is a coordinate and has units of length, v is velocity, a is acceleration, and t is time. [2] Which of the equations below are dimensionally correct? (a) v = votat (b) y (2m)cos(kx), where k=2 m'. [3] Show that the equation v v+2at is dimensionally correct, where v and vo represent velocities, a is acceleration and x is a distance. [4] The period T of simple pendulum is measured in time units and given by 1-20 where I is the length of the pendulum and g is the acceleration due to gravity. Show that the equation is dimensionally correct. [5] Suppose that the displacement of a particle is related to time according to the expression s= cr. What are the dimensions of the constant c?
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
Unit conversion
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
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON