To make [tex]\( m \)[/tex] the subject of the equation [tex]\( E = m g h \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
E = m g h
\][/tex]
2. Isolate [tex]\( m \)[/tex] on one side of the equation. To do this, divide both sides of the equation by [tex]\( g h \)[/tex]:
[tex]\[
\frac{E}{g h} = \frac{m g h}{g h}
\][/tex]
3. Simplify the right side of the equation. The [tex]\( g h \)[/tex] terms will cancel out on the right side:
[tex]\[
\frac{E}{g h} = m
\][/tex]
4. Write the final expression for [tex]\( m \)[/tex]:
[tex]\[
m = \frac{E}{g h}
\][/tex]
Therefore, the formula for [tex]\( m \)[/tex] is:
[tex]\[
m = \frac{E}{g h}
\][/tex]