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Answer :
To find the mass of the truck, we can use the formula for momentum:
[tex]\[ \text{Momentum} (p) = \text{mass} (m) \times \text{velocity} (v) \][/tex]
We are given:
- Momentum, [tex]\( p = 125,000 \, \text{kg} \cdot \frac{m}{s} \)[/tex]
- Velocity, [tex]\( v = 22.0 \, \frac{m}{s} \)[/tex]
We need to find the mass, [tex]\( m \)[/tex]. To do this, rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Now, plug in the values:
[tex]\[ m = \frac{125,000 \, \text{kg} \cdot \frac{m}{s}}{22.0 \, \frac{m}{s}} \][/tex]
[tex]\[ m \approx 5681.82 \, \text{kg} \][/tex]
This calculation shows that the mass of the truck is approximately 5681.82 kg. However, the given choices are whole numbers, so we need to select the closest option. As such, the correct answer is approximately 5680 kg.
[tex]\[ \text{Momentum} (p) = \text{mass} (m) \times \text{velocity} (v) \][/tex]
We are given:
- Momentum, [tex]\( p = 125,000 \, \text{kg} \cdot \frac{m}{s} \)[/tex]
- Velocity, [tex]\( v = 22.0 \, \frac{m}{s} \)[/tex]
We need to find the mass, [tex]\( m \)[/tex]. To do this, rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Now, plug in the values:
[tex]\[ m = \frac{125,000 \, \text{kg} \cdot \frac{m}{s}}{22.0 \, \frac{m}{s}} \][/tex]
[tex]\[ m \approx 5681.82 \, \text{kg} \][/tex]
This calculation shows that the mass of the truck is approximately 5681.82 kg. However, the given choices are whole numbers, so we need to select the closest option. As such, the correct answer is approximately 5680 kg.
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