Answer:
[tex]\boxed {\boxed {\sf E_K= \ 5,040 \ J}}[/tex]
Explanation:
Kinetic energy is the energy an object possesses due to motion. It is calculated using the following formula:
[tex]E_K= \frac{1}{2} mv^2[/tex]
The mass of the athlete is 70.0 kilograms. The velocity is 12 meters per second.
Substitute the values into the formula.
[tex]E_K= \frac{1}{2} (70.0 \ kg)(12 \ m/s)^2[/tex]
Solve the exponent.
- (12 m/s)² = (12 m/s)(12 m/s) = 144 m²/s²
[tex]E_K= \frac{1}{2} (70.0 \ kg)(144 \ m^2/s^2)[/tex]
Multiply the numbers together.
[tex]E_K= \frac{1}{2} (10, 080 \ kg*m^2/s^2)[/tex]
[tex]E_K= 5,040 \ kg*m^2/s^2[/tex]
Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule, so our answer is equal to 5,040 Joules.
[tex]E_K= 5.040 \ J[/tex]
The athlete has 5,040 Joules of kinetic energy.
