Answer:
Ek = 1705.28 [J]
Explanation:
In order to solve this problem, we must remember that kinetic energy can be calculated by means of the following equation.
[tex]E_{k}=\frac{1}{2} *m*v^{2}[/tex]
where:
m = mass [kg]
v = velocity [m/s]
Ek = kinetic energy [J] (Units of Joules)
For the person running
[tex]E_{k} =\frac{1}{2}*52.2*(3.5)^{2} \\ E_{k} =319.72[J][/tex]
For the bullet
[tex]E_{k} =\frac{1}{2} *m*v^{2}[/tex]
[tex]E_{k} =\frac{1}{2} *0.02*(450)^{2} \\E_{k}=2025 [J][/tex]
The difference in Kinetic energy is equal to:
Ek = 2025 - 319.72
Ek = 1705.28 [J]
