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Answer :
To find the mass of the truck, we need to use the formula for momentum:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
In this problem, we're given:
- Momentum = 125,000 kg·m/s
- Velocity = 22.0 m/s
We need to solve for the mass of the truck. Using the formula above, we can rearrange it to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substitute the given values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
When we do the division, we find:
[tex]\[ \text{mass} = 5681.818181818182 \, \text{kg} \][/tex]
Since we are looking for the closest answer from the options provided, we round 5681.818181818182 to the nearest whole number, which is 5682 kg. However, none of the options matches exactly, and we must check our options carefully.
Given the closest option is 5680 kg, it's reasonable to assume this is due to rounding in the choice options.
Therefore, the correct choice from the given options is:
5680 kg
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
In this problem, we're given:
- Momentum = 125,000 kg·m/s
- Velocity = 22.0 m/s
We need to solve for the mass of the truck. Using the formula above, we can rearrange it to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substitute the given values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
When we do the division, we find:
[tex]\[ \text{mass} = 5681.818181818182 \, \text{kg} \][/tex]
Since we are looking for the closest answer from the options provided, we round 5681.818181818182 to the nearest whole number, which is 5682 kg. However, none of the options matches exactly, and we must check our options carefully.
Given the closest option is 5680 kg, it's reasonable to assume this is due to rounding in the choice options.
Therefore, the correct choice from the given options is:
5680 kg
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