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 the 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 0.16, 12.5, 0.32, 25 joules

Explanation:

Step1: Substitute the values into the formula

Given \(m = 2\) kg and \(v=5\) m/s. First, we use the kinetic - energy formula \(K=\frac{1}{2}mv^{2}\). Substitute \(m = 2\) and \(v = 5\) into it: \(K=\frac{1}{2}\times2\times5^{2}\).

Step2: Calculate the value of \(K\)

Simplify the expression \(\frac{1}{2}\times2\times5^{2}\). Since \(\frac{1}{2}\times2 = 1\), then \(K=1\times25=25\) joules.

Answer:

25