Question

The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 2,000 period If the velocity, v, of the roller coaster is 20 meters per second, what is the kinetic energy?A. 1,600,000 JoulesB. 400,000 JoulesC. 40,000 JoulesD. 20,000 Joules

Answer 1

400,000 Joules (Option B)

Step-by-step explanation

Given:

`v=\sqrt{(2k)/(2000)}`

where

v = velocity of the roller coaster = 20 m/s

k = the kinetic energy of the roller coaster

Desired Outcome:

The kinetic energy (k)

Solve for the kinetic energy (k)

`\begin{gathered} 20=\sqrt{(2k)/(2000)} \\ 20=\sqrt{(k)/(1000)} \\ square\text{ }both\text{ }sides \\ (20)^2=(\sqrt{(k)/(1000)})^2 \\ 400=(k)/(1000) \\ cross-multiply \\ k=400*1000 \\ k=400,000\text{ }Joules \end{gathered}`

Hence, the kinetci