Answer:
The kinetic energy of the roller coaster is 1600000 J.
Step-by-step explanation:
Given:
Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.
Now, we need to find the kinetic energy [tex]E_{k}[/tex] of the roller coaster.
So, Mass of roller coaster (m) = 8000 N.
Velocity of roller coaster (v) = 20.0 m/s.
Now, putting the formula of kinetic energy:
[tex]E_{k} = \frac{1}{2}\times m\times v^{2}[/tex]
[tex]E_{k}=\frac{1}{2} \times 8000\times 20^{2}[/tex]
[tex]E_{k}=\frac{1}{2} \times 8000\times 400[/tex]
[tex]E_{k}=\frac{1}{2} \times 3200000[/tex]
[tex]E_{k}=1600000[/tex]
Therefore, the kinetic energy of the roller coaster is 1600000 J.