College Physics, 11th Edition
Authors: Raymond A. Serway and Chris Vuille
ISBN-13: 978-1305952300
See our solution for Question 1CQ from Chapter 1 from College Physics 11th Edition by Raymod Serway and Chris Vuille.
Problem 1CQ
Chapter:
Problem:
Step-by-Step Solution
Given Information
We need estimate the order of magnitude of the length,
Part (a): a mouse
A mouse is approximately 10 cm long, thus magnitude in meter is
\[\begin{array}{l}{l_{{\rm{mouse }}}} = (10\;{\rm{cm}})\left( {\dfrac{{0.01\;{\rm{m}}}}{{1\;{\rm{cm}}}}} \right)\\\\\boxed{{l_{{\rm{mouse }}}} = 0.1\,\,{\rm{m}}}\end{array}\]
Part (b): a pool cue
The standard pool cue is 59 in long, thus \[\begin{array}{l}{l_{{\rm{pool cue }}}} = (59{\rm{ inch }})\left( {\dfrac{{0.0254\;{\rm{m}}}}{{1{\rm{ inch }}}}} \right)\\\\\boxed{{l_{{\rm{pool cue }}}} = 1.5\,\,{\rm{m}}}\end{array}\]
Part (c) a basketball court
The standard size of a basketball court is 28 m
\[\boxed{{l_{{\rm{basketball}}}} = 28\,\,{\rm{m}}}\]
Part (d) an elephant
The typical length of an elephant 5.5 - 6.5 m
\[\boxed{{l_{{\rm{elephan}}}} = 6 \,\,{\rm{m}}}\]
Part (e) a city block
The typical size of a city block is 300 ft
\[\begin{array}{l}{l_{{\rm{city }}\,\,{\rm{block}}}} = (300{\rm{ feet }})\left( {\dfrac{{12{\rm{ inch }}}}{{1{\rm{ feet }}}}} \right)\left( {\dfrac{{0.0254\;{\rm{m}}}}{{1{\rm{ inch }}}}} \right)\\\\\boxed{{l_{{\rm{city }}\,\,{\rm{block}}}} = 91.44\,\,{\rm{m}}}\end{array}\]
We need estimate the order of magnitude of the length,
Part (a): a mouse
A mouse is approximately 10 cm long, thus magnitude in meter is
\[\begin{array}{l}{l_{{\rm{mouse }}}} = (10\;{\rm{cm}})\left( {\dfrac{{0.01\;{\rm{m}}}}{{1\;{\rm{cm}}}}} \right)\\\\\boxed{{l_{{\rm{mouse }}}} = 0.1\,\,{\rm{m}}}\end{array}\]
Part (b): a pool cue
The standard pool cue is 59 in long, thus \[\begin{array}{l}{l_{{\rm{pool cue }}}} = (59{\rm{ inch }})\left( {\dfrac{{0.0254\;{\rm{m}}}}{{1{\rm{ inch }}}}} \right)\\\\\boxed{{l_{{\rm{pool cue }}}} = 1.5\,\,{\rm{m}}}\end{array}\]
Part (c) a basketball court
The standard size of a basketball court is 28 m
\[\boxed{{l_{{\rm{basketball}}}} = 28\,\,{\rm{m}}}\]
Part (d) an elephant
The typical length of an elephant 5.5 - 6.5 m
\[\boxed{{l_{{\rm{elephan}}}} = 6 \,\,{\rm{m}}}\]
Part (e) a city block
The typical size of a city block is 300 ft
\[\begin{array}{l}{l_{{\rm{city }}\,\,{\rm{block}}}} = (300{\rm{ feet }})\left( {\dfrac{{12{\rm{ inch }}}}{{1{\rm{ feet }}}}} \right)\left( {\dfrac{{0.0254\;{\rm{m}}}}{{1{\rm{ inch }}}}} \right)\\\\\boxed{{l_{{\rm{city }}\,\,{\rm{block}}}} = 91.44\,\,{\rm{m}}}\end{array}\]