Solve for the indicated variable.
-$V = \frac { 1 } { m } \sqrt { 2 V e m }$, for $m$

A) $\mathrm { m } = \frac { 2 \mathrm {~V} ^ { 3 } } { \mathrm { e } }$

B) $m = \frac { 2 \mathrm { e } } { \mathrm { V } }$

C) $m = \frac { 2 V } { e }$

D) $\mathrm { m } = \frac { \pm \sqrt { 2 \mathrm { Ve } } } { \mathrm { Ve } }$

Question

Solve for the indicated variable.
-$V = \frac { 1 } { m } \sqrt { 2 V e m }$, for $m$

A) $\mathrm { m } = \frac { 2 \mathrm {~V} ^ { 3 } } { \mathrm { e } }$

B) $m = \frac { 2 \mathrm { e } } { \mathrm { V } }$

C) $m = \frac { 2 V } { e }$

D) $\mathrm { m } = \frac { \pm \sqrt { 2 \mathrm { Ve } } } { \mathrm { Ve } }$

Quizplus · Accepted Answer

To solve for $m$, we start with the given equation $V = \frac { 1 } { m } \sqrt { 2 V e m }$. Squaring both sides gives $V^2 = \frac{2Vem}{m^2}$. Simplifying, we get $V^2m^2 = 2Vem$. Dividing both sides by $V^2$ and $e$, we get $m = \frac{2e}{V}$, which matches choice B.

Solve for the Indicated Variable V=1m2VemV = \frac { 1 } { m } \sqrt { 2 V e m }V=m1​2Vem​

Solve for the Indicated Variable $V = \frac { 1 } { m } \sqrt { 2 V e m }$