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Answer :
To find the mass of the truck, we can use the formula for momentum:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given:
- Momentum = [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex]
- Velocity = [tex]\( 22.0 \, \frac{\text{m}}{\text{s}} \)[/tex]
We need to solve for mass, so we rearrange the formula:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \frac{\text{m}}{\text{s}}} \][/tex]
When you perform the division, you find:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Looking at the provided options, we round this value to the nearest option, which is closest to [tex]\( 5680 \, \text{kg} \)[/tex].
So, the mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given:
- Momentum = [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex]
- Velocity = [tex]\( 22.0 \, \frac{\text{m}}{\text{s}} \)[/tex]
We need to solve for mass, so we rearrange the formula:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \frac{\text{m}}{\text{s}}} \][/tex]
When you perform the division, you find:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Looking at the provided options, we round this value to the nearest option, which is closest to [tex]\( 5680 \, \text{kg} \)[/tex].
So, the mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
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