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Answer :
To find the mass of the truck based on the given momentum and velocity, we can use the formula for momentum:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We know:
- The momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex].
- The velocity is [tex]\( 22.0 \, \frac{\text{m}}{\text{s}} \)[/tex].
We need to solve for the mass. Rearranging the formula to solve for mass gives:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, substitute the given values:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
Calculating this gives us:
[tex]\[ \text{mass} \approx 5681.82 \][/tex]
Since mass must be one of the options provided in a multiple-choice format, we should select the closest match. The nearest choice to our calculated result is [tex]\( 5680 \, \text{kg} \)[/tex].
Therefore, the mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We know:
- The momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex].
- The velocity is [tex]\( 22.0 \, \frac{\text{m}}{\text{s}} \)[/tex].
We need to solve for the mass. Rearranging the formula to solve for mass gives:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, substitute the given values:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
Calculating this gives us:
[tex]\[ \text{mass} \approx 5681.82 \][/tex]
Since mass must be one of the options provided in a multiple-choice format, we should select the closest match. The nearest choice to our calculated result is [tex]\( 5680 \, \text{kg} \)[/tex].
Therefore, the mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
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