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Answer :
To determine the truck's mass, we need to use the formula for momentum, which is:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given:
- Momentum = 125,000 kg·m/s
- Velocity = 22.0 m/s
We need to find the mass. To do this, we can rearrange the momentum formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
Calculating this gives us a mass of approximately 5681.82 kg.
Now, let's check the options provided:
- 176 kg
- 2750 kg
- 5680 kg
- 11,400 kg
The closest option to our calculated mass of 5681.82 kg is 5680 kg.
Therefore, the truck's mass is approximately 5680 kg.
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given:
- Momentum = 125,000 kg·m/s
- Velocity = 22.0 m/s
We need to find the mass. To do this, we can rearrange the momentum formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
Calculating this gives us a mass of approximately 5681.82 kg.
Now, let's check the options provided:
- 176 kg
- 2750 kg
- 5680 kg
- 11,400 kg
The closest option to our calculated mass of 5681.82 kg is 5680 kg.
Therefore, the truck's mass is approximately 5680 kg.
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