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Answer :
To find the mass of the truck, we'll use the formula for momentum:
[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]
From the information given:
- The truck's velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex].
- The momentum of the truck is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex].
We can rearrange the formula to solve for the mass:
[tex]\[ \text{Mass} = \frac{\text{Momentum}}{\text{Velocity}} \][/tex]
Substituting in the given values:
[tex]\[ \text{Mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
[tex]\[ \text{Mass} \approx 5,681.818 \, \text{kg} \][/tex]
Rounding this value to the nearest whole number, the mass of the truck is approximately [tex]\( 5,680 \, \text{kg} \)[/tex].
Thus, the closest option is 5680 kg.
[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]
From the information given:
- The truck's velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex].
- The momentum of the truck is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex].
We can rearrange the formula to solve for the mass:
[tex]\[ \text{Mass} = \frac{\text{Momentum}}{\text{Velocity}} \][/tex]
Substituting in the given values:
[tex]\[ \text{Mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
[tex]\[ \text{Mass} \approx 5,681.818 \, \text{kg} \][/tex]
Rounding this value to the nearest whole number, the mass of the truck is approximately [tex]\( 5,680 \, \text{kg} \)[/tex].
Thus, the closest option is 5680 kg.
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