1. In this problem, you will work out the dimensions and units of quantities fromequations. This is a very useful method for checking the physical validity ofequations.(a) Consider a particle whose position x is given as a function of its speed vby the following equation v = Ce¯x, where b and C are positive constants.Find the units of C and b in the S.I system.Practice Quiz1(b) Consider a particle velocity v is given as a function of time t by thefollowing equation, v= Aw sin(at) where A, o are positive constants. Findthe units of A and in S.I units.2. A particle is moving in a straight line. The graph denotes the velocity of theparticle as a function of time.(a) Draw a graph of the acceleration of the particle as a function of time. Yourgraph should include the magnitude and sign of the acceleration.(b) Draw a graph of the displacement of the particle as a function of time. Theparticle starts from x = 0.108(s/w) AAA2.6-8-10-t (sec)

Concept: An equation is correct only when it is dimensionally correct also. An equation is said to…

1. In this problem, you will work out the dimensions and units of quantities from equations. This is a very useful method for checking the physical validity of equations. (a) Consider a particle whose position x is given as a function of its speed v by the following equation v = Cex, where b and C are positive constants. Find the units of C and b in the S.I system. (b) Consider a particle velocity v is given as a function of time t by the following equation, v= Ao sin(at) where A, o are positive constants. Find the units of A and o in S.I units.

1. In this problem, you will work out the dimensions and units of quantities from equations. This is a very useful method for checking the physical validity of equations. (a) Consider a particle whose position x is given as a function of its speed v by the following equation v = Cex, where b and C are positive constants. Find the units of C and b in the S.I system. (b) Consider a particle velocity v is given as a function of time t by the following equation, v= Ao sin(at) where A, o are positive constants. Find the units of A and o in S.I units.

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

1. In this problem, you will work out the dimensions and units of quantities from
equations. This is a very useful method for checking the physical validity of
equations.
(a) Consider a particle whose position x is given as a function of its speed v
by the following equation v = Ce¯x, where b and C are positive constants.
Find the units of C and b in the S.I system.
Practice Quiz1
(b) Consider a particle velocity v is given as a function of time t by the
following equation, v= Aw sin(at) where A, o are positive constants. Find
the units of A and in S.I units.
2. A particle is moving in a straight line. The graph denotes the velocity of the
particle as a function of time.
(a) Draw a graph of the acceleration of the particle as a function of time. Your
graph should include the magnitude and sign of the acceleration.
(b) Draw a graph of the displacement of the particle as a function of time. The
particle starts from x = 0.
10
8
(s/w) A
AA
2.6
-8
-10-
t (sec)

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