Question

T=mv^2/L Write an equation that shows the given formula solved for V

Answer 1

Answer:

$v = \sqrt{ \frac{tl}{m} }$

Step-by-step explanation:

$t = \frac{mv {}^{2} }{l} \\ making \: v \: the \: subject \\ t \times l = mv {}^{2} \\ dividing \: bothsides \: by \: m \\ \frac{tl}{m} = \frac{mv {}^{2} }{m} \\ v {}^{2} = \frac{tl}{m} \\ finally \\ v = \sqrt{ \frac{tl}{m} }$

Answer 2

Answer:

v = √(LT/m)

Step-by-step 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)