what is the momentum of a fuel tanker moving to the West that has a loaded tonnage of 800,000 tons ( let's use metric tons ... 1 ton = 1000kg ) and a speed of 36.0 mph in kg* m/s ?

Respuesta :

ANSWER

[tex]12,874,720,000\text{ kgm/s}[/tex]

EXPLANATION

The momentum of a body is given as:

[tex]p=m\cdot v[/tex]

where m = mass; v = velocity

To find the momentum of the tanker, we have to first convert the mass of the load to kilograms and the speed to meters per second.

We have that:

[tex]1\text{ ton = 1000 kg}[/tex]

Therefore, 800,000 tons equals:

[tex]\begin{gathered} 800,000=800,000\cdot1000 \\ \Rightarrow800,000,000\operatorname{kg} \end{gathered}[/tex]

To convert the velocity from miles per hour to meters per second, we have to multiply by 0.44704.

Therefore, 36.0 mph in m/s is::

[tex]\begin{gathered} 36\cdot0.44704 \\ \Rightarrow16.0934\text{ m/s} \end{gathered}[/tex]

Therefore, the momentum of the tanker (in kgm/s) is:

[tex]\begin{gathered} p=800,000,000\cdot16=.0934 \\ p=12,874,720,000\text{ kgm/s} \end{gathered}[/tex]