Question

2 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 drop-down joules. reset next

Explanation:

Step1: Substitute values into the formula

We know the formula \( v = \sqrt{\frac{2K}{m}} \), and we are given \( m = 2 \) kg and \( v = 5 \) m/s. Substitute these values into the formula:
\( 5 = \sqrt{\frac{2K}{2}} \)
Simplify the fraction inside the square root: \( \frac{2K}{2}=K \), so the equation becomes \( 5 = \sqrt{K} \)

Step2: Solve for K

To solve for \( K \), square both sides of the equation \( 5 = \sqrt{K} \). Squaring the left side: \( 5^2 = 25 \), squaring the right side: \( (\sqrt{K})^2 = K \). So we get \( K = 25 \)

Answer:

25