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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 ?

User David Wasser
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1 Answer

9 votes
9 votes

ANSWER


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

Step-by-step explanation

The momentum of a body is given as:


p=m\cdot v

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:


1\text{ ton = 1000 kg}

Therefore, 800,000 tons equals:


\begin{gathered} 800,000=800,000\cdot1000 \\ \Rightarrow800,000,000\operatorname{kg} \end{gathered}

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::


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

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


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

User Vikaton
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