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Answer :
To find the mass of the truck, we can use the formula for momentum, which is:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We're given the truck's momentum as [tex]\(125,000 \, \text{kg} \cdot \text{m/s}\)[/tex] and its velocity as [tex]\(22.0 \, \text{m/s}\)[/tex]. By rearranging the formula to solve for mass, we get:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Plugging in the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
When you divide these numbers, you get approximately:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Since the options provided are whole numbers, we round this result to the nearest whole number, which is [tex]\(5682 \, \text{kg}\)[/tex].
However, we look at the given options and find the closest match. The closest choice to [tex]\(5682 \, \text{kg}\)[/tex] is [tex]\(5680 \, \text{kg}\)[/tex].
Therefore, the truck's mass is approximately 5680 kg.
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We're given the truck's momentum as [tex]\(125,000 \, \text{kg} \cdot \text{m/s}\)[/tex] and its velocity as [tex]\(22.0 \, \text{m/s}\)[/tex]. By rearranging the formula to solve for mass, we get:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Plugging in the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
When you divide these numbers, you get approximately:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Since the options provided are whole numbers, we round this result to the nearest whole number, which is [tex]\(5682 \, \text{kg}\)[/tex].
However, we look at the given options and find the closest match. The closest choice to [tex]\(5682 \, \text{kg}\)[/tex] is [tex]\(5680 \, \text{kg}\)[/tex].
Therefore, the truck's mass is approximately 5680 kg.
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