Respuesta :

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)

Answer:

[tex]v = \sqrt{ \frac{tl}{m} } [/tex]

Step-by-step explanation:

[tex]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} } [/tex]