Exercise 2 Page 55

To solve the given formula for m, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

E=mc^2

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.LHS /c^2.=.RHS /c^2.

DivEqn

.LHS /c^2.=.RHS /c^2.

E/c^2=mc^2/c^2

CancelCommonFac

Cancel out common factors

E/c^2=mc^2/c^2

SimpQuot

Simplify quotient

E/c^2=m

RearrangeEqn

Rearrange equation

m=E/c^2

This corresponds to option G. Note that in this case, we were asked to solve for the mass m, given the formula for energy. A solution of m= Ec^2 means that we have solved for the mass of the object having the given energy.