Answer: [tex]394.66 \frac{kg m}{s}[/tex]
Explanation:
Linear momentum [tex]p[/tex] is expressed as:
[tex]p=mV[/tex]
Where:
[tex]m=74 kg[/tex] is the mass of the man
[tex]V=\frac{d}{t}[/tex] is the velocity of the man, which can be calculated if we know the distance he has run [tex]d=800 m[/tex] and the time it took to him to travel that distance [tex]t=150 s[/tex]
Hence: [tex]V=\frac{800 m}{150 s}=5.33 m/s[/tex]
Solving for the momentum:
[tex]p=(74 kg)(5.33 m/s)[/tex]
[tex]p=394.66 \frac{kg.m}{s}[/tex]