Answer:
![\boxed {\boxed {\sf 299.568 \ Joules }}](https://img.qammunity.org/2021/formulas/physics/high-school/6mal038vfvodu22w7y6aqhls9rxnr6fbu5.png)
Step-by-step explanation:
Kinetic energy can be found using the following formula:
![E_k=(1)/(2)mv^2](https://img.qammunity.org/2021/formulas/physics/high-school/2qhg6fsgs7vufjtg0xt4dtge3ww7uyxul2.png)
where m is the mass and v is the velocity.
The mass of the person is 60 kilograms and the velocity is 3.16 meters per second
![m= 60 \ kg \\v= 3.16 \ m/s](https://img.qammunity.org/2021/formulas/physics/high-school/idj3fhy58i73b2omiqq45tr4vc6dyat71m.png)
Substitute the values into the formula.
![E_k=(1)/(2) (60 \ kg) *(3.16 \ m/s)^2](https://img.qammunity.org/2021/formulas/physics/high-school/hjmalx2o5xys4ghf5fzapgzbtrssw41ium.png)
First, evaluate the exponent.
- (3.16 m/s)²= (3.16 m/s) * (3.16 m/s) = 9.9856 m²/s²
![E_k=(1)/(2)(60 \ kg ) (9.9856 \ m^2/s^2)](https://img.qammunity.org/2021/formulas/physics/high-school/ffzd6whzbdhcf78cqojlb3p8xbqhjizg96.png)
Multiply 60 kg by 9.9856 m²/s²
![E_k=(1)/(2) (599.136 \ kg*m^2/s^2)](https://img.qammunity.org/2021/formulas/physics/high-school/dsu53zr3r5ceq2537qv9t8ulqv4ekrlqyu.png)
Multiply 599.136 kg*m²/s² by 1/2, or divide by 2.
![E_k=299.568 \ kg*m^2/s^2](https://img.qammunity.org/2021/formulas/physics/high-school/f6locjeioqtb3gpio92fovwol8mxch4l4h.png)
- 1 kg*m²/s² is equal to 1 Joule
- Therefore, our answer of 299.568 kg*m²/s² is equal to 299.568 Joules.
![E_k= 299.568 \ J](https://img.qammunity.org/2021/formulas/physics/high-school/j5u2e5b4tnqw9wo91nctt9f7fyfo8j3ecf.png)
The running person has a kinetic energy of 299.568 Joules.