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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 are given the momentum of the truck as [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex] and its velocity as [tex]\( 22.0 \, \text{m/s} \)[/tex]. We need to find the mass, so we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting in the known values gives:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
Calculating this division, we get:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
From the options provided, none exactly match this exact value. However, rounding to the nearest answer choice, the closest mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
Therefore, the truck's mass is closest to [tex]\( 5680 \, \text{kg} \)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given the momentum of the truck as [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex] and its velocity as [tex]\( 22.0 \, \text{m/s} \)[/tex]. We need to find the mass, so we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting in the known values gives:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
Calculating this division, we get:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
From the options provided, none exactly match this exact value. However, rounding to the nearest answer choice, the closest mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
Therefore, the truck's mass is closest to [tex]\( 5680 \, \text{kg} \)[/tex].
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