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Chapter 6: Problem 49

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(E=m c^{2}\) for \(m\)

Short Answer

Expert verified
To solve for \(m\) in the equation \(E=mc^2\), rearrange the equation to give \(m=E/c^2\).

Step by step solution

01

Understand the equation

The equation \(E=mc^2\) states that the energy (\(E\)) is equal to mass (\(m\)) multiplied by the speed of light (\(c\)) squared.
02

Rearrange the equation to solve for m

In order to solve for the variable \(m\), you need to divide both sides of the equation by \(c^2\). This operation will isolate \(m\) on one side of the equation resulting in \(m=E/c^2\).

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Most popular questions from this chapter

In Exercises 73-80, solve each equation by the method of your choice. \(\frac{3 x^{2}}{4}-\frac{5 x}{2}-2=0\)

Solve the equations using the quadratic formula. \(x^{2}-3 x=18\)

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The formula$$N=\frac{t^{2}-t}{2}$$describes the number of football games, \(N\), that must be played in a league with \(t\) teams if each team is to play every other team once. Use this information to solve. If a league has 45 games scheduled, how many teams belong to the league, assuming that each team plays every other team once?

Solve the equations using the quadratic formula. \(x^{2}-2 x-10=0\)
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