Respuesta :

Answer:

m = [tex]\frac{4L}{v^{2} }[/tex]

Step-by-step explanation:

Given

L = [tex]\frac{1}{4}[/tex] mv²

Multiply through by 4 to clear the fraction

4L = mv² ( divide both sides by v² )

[tex]\frac{4L}{v^{2} }[/tex] = m

Answer:

m = [tex]\frac{4L}{v^2}[/tex]

Step-by-step explanation:

L = [tex]\frac{1}{4}[/tex]mv²

L = [tex]\frac{1}{4}[/tex]v² × m

m = L × [tex]\frac{4}{v^2}[/tex]

m = [tex]\frac{4L}{v^2}[/tex]