Answer:
[tex]F_{net} = 24434.783\,N[/tex]
Explanation:
Let consider that the person hit the ground in the negative direction. The physical model for the impact is modelled after the Impact Theorem:
[tex]m_{person}\cdot v + Imp = 0[/tex]
The impact is:
[tex]Imp = - m_{person}\cdot v[/tex]
[tex]Imp = - (70\,kg)\cdot (-7.70\,\frac{m}{s} )[/tex]
[tex]Imp = 539\,N\cdot s[/tex]
The force of impact is derived as follows:
[tex]F_{net} = \frac{Imp}{\Delta t}[/tex]
[tex]F_{net} = \frac{539\,N\cdot s}{0.023\,s}[/tex]
[tex]F_{net} = 24434.783\,N[/tex]
