k = 1/2 mv^2
multiply each side by 2
2k = mv^2
divide by v^2
2k/v^2 =m
Answer:
The required equation is [tex]m=\frac{2k}{v^2}[/tex]
Step-by-step explanation:
Consider the provided equation.
[tex]k=\frac{1}{2}mv^2[/tex]
Solve the equation for m.
Multiply both the sides by 2.
[tex]2k=mv^2[/tex]
Divide both the sides by v².
[tex]\frac{2k}{v^2}=\frac{mv^2}{v^2}[/tex]
[tex]m=\frac{2k}{v^2}[/tex]
Hence the required equation is [tex]m=\frac{2k}{v^2}[/tex]
