Solve the equation for the indicated variable. Assume no denominator is 0.
-$\mathrm { Ve } = \frac { 1 } { 2 } \mathrm { mv } ^ { 2 }$, for $\mathrm { v }$

A) $v = \frac { \pm \sqrt { 2 m V e } } { m }$

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

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

D) $v = \pm \sqrt { 2 V e }$

Question

Solve the equation for the indicated variable. Assume no denominator is 0.
-$\mathrm { Ve } = \frac { 1 } { 2 } \mathrm { mv } ^ { 2 }$, for $\mathrm { v }$

A) $v = \frac { \pm \sqrt { 2 m V e } } { m }$

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

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

D) $v = \pm \sqrt { 2 V e }$

Quizplus · Accepted Answer

To solve for v, divide both sides by 1/2m.$$\frac{1}{2}mv^2=Ve$$$$v^2=\frac{2Ve}{m}$$$$v=\pm\sqrt{\frac{2Ve}{m}}$$

Solve the Equation for the Indicated Variable Ve=12mv2\mathrm { Ve } = \frac { 1 } { 2 } \mathrm { mv } ^ { 2 }Ve=21​mv2

Solve the Equation for the Indicated Variable $\mathrm { Ve } = \frac { 1 } { 2 } \mathrm { mv } ^ { 2 }$