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Answer :
To find the mass of the truck, we can use the formula for momentum, which is given by:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
In this problem, we know the momentum of the truck is [tex]\(125,000 \, \text{kg} \cdot \text{m/s}\)[/tex] and the velocity is [tex]\(22.0 \, \text{m/s}\)[/tex].
To find the mass, we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, plugging in the known values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
[tex]\[ \text{mass} = 5681.8181 \, \text{kg} \][/tex]
Rounding this to the nearest whole number, the mass is approximately [tex]\(5682 \, \text{kg}\)[/tex].
Therefore, the closest answer choice is not explicitly listed among the options, but the mass would correspond to [tex]\(5680 \, \text{kg}\)[/tex], given the available choices.
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
In this problem, we know the momentum of the truck is [tex]\(125,000 \, \text{kg} \cdot \text{m/s}\)[/tex] and the velocity is [tex]\(22.0 \, \text{m/s}\)[/tex].
To find the mass, we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, plugging in the known values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
[tex]\[ \text{mass} = 5681.8181 \, \text{kg} \][/tex]
Rounding this to the nearest whole number, the mass is approximately [tex]\(5682 \, \text{kg}\)[/tex].
Therefore, the closest answer choice is not explicitly listed among the options, but the mass would correspond to [tex]\(5680 \, \text{kg}\)[/tex], given the available choices.
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