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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 know the momentum of the truck is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex] and its velocity is [tex]\( 22.0 \, \frac{\text{m}}{\text{s}} \)[/tex].
To find the mass, we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substitute the given values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \frac{\text{m}}{\text{s}}} \][/tex]
Perform the division:
[tex]\[ \text{mass} = 5,681.818181818182 \, \text{kg} \][/tex]
The result is approximately [tex]\( 5,681.818 \, \text{kg} \)[/tex], which closely rounds to [tex]\( 5,680 \, \text{kg} \)[/tex] when considering the options provided. Therefore, the correct choice from the given options is:
5680 kg
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We know the momentum of the truck is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex] and its velocity is [tex]\( 22.0 \, \frac{\text{m}}{\text{s}} \)[/tex].
To find the mass, we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substitute the given values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \frac{\text{m}}{\text{s}}} \][/tex]
Perform the division:
[tex]\[ \text{mass} = 5,681.818181818182 \, \text{kg} \][/tex]
The result is approximately [tex]\( 5,681.818 \, \text{kg} \)[/tex], which closely rounds to [tex]\( 5,680 \, \text{kg} \)[/tex] when considering the options provided. Therefore, the correct choice from the given options is:
5680 kg
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