Question

T=mv^2/L

Write an equation that shows the given formula solved for V

Answer 1

v = √(LT/m)

Explanation:

Given :

• T = mv²/L

Multiply both sides with L :

• T × L = mv²/L x L
• LT = mv²

Divide both sides by m :

• LT × 1/m = mv² × 1/m
• LT/m = v²

Take the square root on each side :

• √v² = √(LT/m)
• v = √(LT/m)

Answer 2

`v = \sqrt{ (tl)/(m) }`

Explanation:

`t = \frac{mv {}^(2) }{l} \\ making \: v \: the \: subject \\ t * l = mv {}^(2) \\ dividing \: bothsides \: by \: m \\ (tl)/(m) = \frac{mv {}^(2) }{m} \\ v {}^(2) = (tl)/(m) \\ finally \\ v = \sqrt{ (tl)/(m) }`