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
![Consider the physical quantities s, v, a, and t with dimensions s=L, [v] = LT?,
and [t] = T. Which group of answers dimentionnaly is correct for the equations given below?
[a] = LT?,
1) s = vt + 0.5at; 2) s = vt? + 0.5at; 3) v = sin
at?
l; 4) v² = 2as.
A) 1, 2, 3
B) 1, 2, 4
C) 2, 3
D) 1, 4
E) 3, 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabe3578d-dd68-4d5f-9cd2-69cf5000cd29%2F0ed3ce00-6bb0-49e4-aa5e-3f4f9e6788bb%2F3c7eqqn_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the physical quantities s, v, a, and t with dimensions s=L, [v] = LT?,
and [t] = T. Which group of answers dimentionnaly is correct for the equations given below?
[a] = LT?,
1) s = vt + 0.5at; 2) s = vt? + 0.5at; 3) v = sin
at?
l; 4) v² = 2as.
A) 1, 2, 3
B) 1, 2, 4
C) 2, 3
D) 1, 4
E) 3, 4
Expert Solution
Step 1
The first given equation is,
As per the principle of homogeneity, an equation must have the same dimensions on both sides.
Now, by the dimension analysis,
Since the equation has the same dimensions on both sides, it is a valid equation.
Now, the second given equation is,
Now, by the dimension analysis,
Since the equation does not have the same dimension on both sides, it is not a valid equation.
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