Answer: 90 kgm/s
Explanation:
The momentum (linear momentum) [tex]p[/tex] is given by the following equation:
[tex]p=m.V[/tex]
Where:
[tex]m=45 kg[/tex] is the mass of the skater
[tex]V[/tex] is the velocity
In this situation the skater has two values of momentum:
Initial momentum: [tex]p_{1}=m.V_{1}[/tex]
Final momentum: [tex]p_{2}=m.V_{2}[/tex]
Where:
[tex]V_{1}=3 m/s[/tex]
[tex]V_{1}=5 m/s[/tex]
So, if we want to calculate the difference in the magnitude of the skater's momentum, we have to write the following equation(assuming the mass of the skater remains constant):
[tex]p=p_{2}-p_{1}=m.V_{2}-m.V_{1}[/tex]
[tex]p=m(V_{2}-V_{1})[/tex]
[tex]p=45 kg(5 m/s - 3 m/s)[/tex]
Finally:
[tex]p=90 kgm/s[/tex]
