The answer would be:
6,250 joules
Here's how to do it:
[tex]KE = \frac{1}{2}mv^{2}[/tex]
KE = kinetic energy (joules)
m = mass (kg)
v = velocity (m/s)
So with that formula let's figure out what was given to you.
500 kg and 5m/s
You know which is which based on the unit.
m = 500kg
v = 5m/s
Now all you need to do is plug it into your formula and solve.
[tex]KE=\frac{1}{2}mv^{2}[/tex]
[tex]KE= \frac{1}{2}(500kg)(5m/s)^{2}[/tex]
[tex]KE = \frac{1}{2}(500kg)(25m^{2/}s^{2})[/tex]
[tex]KE = \frac{1}{2}(12,500kg\cdot m^{2}/s^2})[/tex]
[tex]KE = 6,250kg\cdot m^{2}/s^{2}[/tex]
The unit [tex]kg\cdot m^{2}/s^{2}[/tex] also means joules
So the final answer is 6,250 joules.
