Answer:
Option 3rd is correct
[tex]v = \pm \sqrt{\frac{2K}{m}}[/tex]
Step-by-step explanation:
Given that:
The formula represents the kinetic energy K of an object with mass m and velocity v is given by:
[tex]K = \frac{1}{2}mv^2[/tex] ....[1]
Solve for v:
Multiply both sides by 2 in [1] we have;
[tex]2K = mv^2[/tex]
Divide both sides by m we get;
[tex]\frac{2K}{m} = v^2[/tex]
or
[tex]v^2 = \frac{2K}{m}[/tex]
⇒[tex]v = \pm \sqrt{\frac{2K}{m}}[/tex]
Therefore, the value of v is, [tex]v = \pm \sqrt{\frac{2K}{m}}[/tex]
Answer: square root 2Km / m
Took the test and got it wrong. This is the correct answer
