Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 375: 49

Answer

\[m=\frac{E}{{{c}^{2}}}\].

Work Step by Step

The provided formula is\[E=m{{c}^{2}}\]and now solve the formula for \[m\] by dividing both the sides by \[{{c}^{2}}\] \[\begin{align} & E=m{{c}^{2}} \\ & \frac{E}{{{c}^{2}}}=\frac{m{{c}^{{}}}}{{{c}^{{}}}} \\ & m=\frac{E}{{{c}^{2}}} \end{align}\] The formula \[E=m{{c}^{2}}\]is for energy of an object, where \[E=\] energy, \[m=\] mass of an object, and\[c=\] speed of the light. The formula is\[m=\frac{E}{{{c}^{2}}}\].
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