Question

The formula represents the kinetic energy K of an object with mass m and velocity v. K=12mv2 Solve for v. v=±12Km2 v=±2K√m v=±2Km‾‾‾‾‾√ v=±2Km√m

Answer 1

v = ±2K√m
Hope this helps 

Answer 2

Answer:

Option 3rd is correct

$v = \pm \sqrt{\frac{2K}{m}}$

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:

$K = \frac{1}{2}mv^2$          ....[1]

Solve for v:

Multiply both sides by 2  in [1] we have;

$2K = mv^2$

Divide both sides by m we get;

$\frac{2K}{m} = v^2$

or

$v^2 = \frac{2K}{m}$

⇒$v = \pm \sqrt{\frac{2K}{m}}$

Therefore, the value of v is, $v = \pm \sqrt{\frac{2K}{m}}$