Answered: Each of the following equations was…

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)...

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Question

Each of the following equations was given by a student during an examination

1/2 mv^2=1/2 mv_0^2+√mgh
v=v_0+at^2
ma=v^2

Do a dimensional analysis of each equation and explain why the equation can’t be correct. (Hint: Determine the dimensions on each side of the equation and compare them.)

Expert Solution

Step 1

The equation is given as,

Here, v₀ and v denotes the initial and the final velocity, g denotes the acceleration due to gravity, h denotes the height, m denotes the mass.

The equation has three terms which are added. The dimension of each term should be same for the dimensional correctness of the equation. Let’s find the dimension of each term.

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