Question

ALGEBRA ONE!!!!!1 34 POINTS I WILLLLL GIVE TOOOO YOUUUUU!!

write an equation that shows the given formula solved for v

T=mv^2/L

Please show work to get all the points

Answer 1

`\large\boxed{v=\pm\sqrt{(LT)/(m)}}`

Explanation:

`(mv^2)/(L)=T\qquad\text{multiply both sides by}\ L\\\\L\!\!\!\!\diagup^1\cdot(mv^2)/(L\!\!\!\!\diagup_1)=LT\\\\mv^2=LT\qquad\text{divide both sides by}\ m\\\\(m\!\!\!\!\diagup^1v^2)/(m\!\!\!\!\diagup_1)=(LT)/(m)\\\\v^2=(LT)/(m)\qquad\text{square root of both sides}\\\\√(v^2)=\sqrt{(LT)/(m)}\qquad\text{use}\ √(a^2)=|a|\\\\|v|=\sqrt{(LT)/(m)}\Rightarrow v=\pm\sqrt{(LT)/(m)}`

Answer 2

±sqrt(T*L/m)=v

Explanation:

T=mv^2/L

We want to solve the equation for v

Multiply each side by L

T*L=mv^2/L *L

T*L=mv^2

Divide each side by m

TL/m=mv^2/m

T*L/m=v^2

Take the square root of each side

±sqrt(T*L/m)=sqrt(v^2)

±sqrt(T*L/m)=v