Answer:
v = √( [tex]\frac{2E}{m}[/tex] )
Step-by-step explanation:
E=1/2mv²
v² = ( [tex]\frac{2E}{m}[/tex] )
v = √( [tex]\frac{2E}{m}[/tex] )
Answer:
[tex]v=\sqrt{\frac{2E}{m}}[/tex]
Step-by-step explanation:
[tex]E= \frac{1}{2} mv^2[/tex]
Solve the equation for v
To remove fraction , multiply both sides by 2
[tex]2 \cdot E= \frac{1}{2} mv^2 \cdot 2[/tex]
[tex]2E=mv^2[/tex]
Divide both sides by 'm' to isolate v^2
[tex] \frac{2E}{m}=v^2[/tex]
Now to remove square from V, we take square root on both sides
[tex]\sqrt{\frac{2E}{m}} =v[/tex]
[tex]v=\sqrt{\frac{2E}{m}}[/tex]
