Question

Calculate the velocity on a roller coaster that has a mass of 2,131.2 kg and the kinetic energy is 2,799,287 Joules of energy.

Answer 1

ANSWER

$51.3m\/s$

EXPLANATION

Parameters given:

Mass, m = 2131.2 kg

Kinetic energy, E = 2799287 J

To find the velocity of the roller coaster, we have to apply the formula for kinetic energy:

$E=\frac{1}{2}mv^2$

Substitute the given values into the equation and solve for velocity, v:

$\begin{gathered} 2799287=\frac{1}{2}\cdot2131.2\cdot v^2 \\ v^2=2\cdot\frac{2799287}{2131.2}=2626.96 \\ v=\sqrt[]{2626.96} \\ v=51.3m\/s \end{gathered}$

That is the velocity of the roller coaster.