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]