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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 need to solve for mass. We can rearrange the formula to:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
In this problem, 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]
Plugging these values into the formula:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
Calculating this gives:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Since we typically round to the nearest whole number in such contexts, the mass of the truck is approximately [tex]\( 5682 \, \text{kg} \)[/tex], which doesn’t exactly match any of the given options. However, it's closest to the option [tex]\( 5680 \, \text{kg} \)[/tex], considering rounding differences.
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We need to solve for mass. We can rearrange the formula to:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
In this problem, 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]
Plugging these values into the formula:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
Calculating this gives:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Since we typically round to the nearest whole number in such contexts, the mass of the truck is approximately [tex]\( 5682 \, \text{kg} \)[/tex], which doesn’t exactly match any of the given options. However, it's closest to the option [tex]\( 5680 \, \text{kg} \)[/tex], considering rounding differences.
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