Question

The dimension of the quantity “work” may be determined from the expression W = F s, where W is work, F is force, and s is a distance. Note that force in one dimension may be written as F = ma, where m is mass and a is acceleration. Given the following four expressions: I: m v2 II: m g h III: m v 2 r IV: m v where m is mass, h and r are length, v is speed, and g is the gravitational acceleration. Which pair of expressions have the dimension of work?

Name: the dimension of the quantity work may be determined from the expression w f s where w is work f is force and s is a distance note that force in one dimension may be written as f ma where m 85489
Uploaded: 2022-02-12T08:20:50-08:00
Duration: 3 min 34 s
Channel: Vipin Kumawat
Description: the dimension of the quantity work may be determined from the expression w f s where w is work f is force and s is a distance note that force in one dimension may be written as f ma where m 85489

          The dimension of the quantity “work” may
be determined from the expression W = F s,
where W is work, F is force, and s is a distance. Note that force in one dimension may
be written as F = ma, where m is mass and
a is acceleration. Given the following four
expressions:
I: m v2
II: m g h
III: m
v
2
r
IV: m v
where m is mass, h and r are length, v is
speed, and g is the gravitational acceleration.
Which pair of expressions have the dimension of work?

Added by Matthew G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Vipin Kumawat

02/12/2022

Step 1

The dimension of work can be determined from the expression W = F s. Since force (F) has the dimension of mass (m) times acceleration (a), i.e., F = ma, the dimension of work can be expressed as [W] = [F][s] = [ma][s]. Show more…

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The dimension of the quantity “work” may be determined from the expression W = F s, where W is work, F is force, and s is a distance. Note that force in one dimension may be written as F = ma, where m is mass and a is acceleration. Given the following four expressions: I: m v2 II: m g h III: m v 2 r IV: m v where m is mass, h and r are length, v is speed, and g is the gravitational acceleration. Which pair of expressions have the dimension of work?