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

`51.3m\/s`

Step-by-step 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=(1)/(2)mv^2`

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

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

That is the velocity of the roller coaster.