Question

select the correct answer from each drop-down menu.
the velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of k, in joules, is given by this equation.
$v = \sqrt{\frac{2k}{m}}$
use the equation to complete this statement.
the kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

Explanation:

Step1: Isolate K in the formula

Square both sides: $v^2 = \frac{2K}{m}$

Step2: Solve for K

Rearrange to solve for K: $K = \frac{mv^2}{2}$

Step3: Substitute given values

Substitute $m=2$, $v=5$: $K = \frac{2 \times 5^2}{2}$

Step4: Calculate the result

Simplify the expression: $K = \frac{2 \times 25}{2} = 25$

Answer:

25