Respuesta :

The momentum is defined as:

[tex]p=mv[/tex]

In this case we know the velocity but we don't know the mass yet. The weight of an object is given by:

[tex]\begin{gathered} W=mg \\ \text{ Then} \\ m=\frac{W}{g} \end{gathered}[/tex]

Then we can express the momentum as:

[tex]p=\frac{W}{g}v[/tex]

before we plug the values of the weight and the velocity in our expression we need to convert the velocity to m/s:

[tex]80\frac{km}{h}\cdot\frac{1000\text{ m}}{1\text{ km}}\cdot\frac{1\text{ h}}{3600\text{ s}}=22.22\frac{m}{s}[/tex]

Now that we have the velocity we plug it with the weight to find the momentum:

[tex]\begin{gathered} p=\frac{14000}{9.8}(22.22) \\ p=31746.03 \end{gathered}[/tex]

Therefore, the momentum is 31746.03 kg m/s