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Answer :
To determine the mass of the truck, we can use the relationship between momentum, mass, and velocity. The formula for momentum ([tex]\(p\)[/tex]) is given by:
[tex]\[ p = \text{mass} (\text{m}) \times \text{velocity} (\text{v})\][/tex]
In this problem, we know the momentum is 125,000 kg·m/s, and the velocity of the truck is 22.0 m/s. We need to solve for the mass ([tex]\(m\)[/tex]).
First, let's rearrange the formula to solve for mass:
[tex]\[ \text{mass} (\text{m}) = \frac{\text{momentum} (\text{p})}{\text{velocity} (\text{v})} \][/tex]
Now, substitute the given values into the formula:
[tex]\[ \text{mass} (\text{m}) = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
After performing the division:
[tex]\[ \text{mass} (\text{m}) \approx 5681.82 \, \text{kg} \][/tex]
Since the mass is approximately 5681.82 kg and the closest option provided is 5680 kg, that option would be the most suitable choice.
Therefore, the mass of the truck is approximately 5680 kg.
[tex]\[ p = \text{mass} (\text{m}) \times \text{velocity} (\text{v})\][/tex]
In this problem, we know the momentum is 125,000 kg·m/s, and the velocity of the truck is 22.0 m/s. We need to solve for the mass ([tex]\(m\)[/tex]).
First, let's rearrange the formula to solve for mass:
[tex]\[ \text{mass} (\text{m}) = \frac{\text{momentum} (\text{p})}{\text{velocity} (\text{v})} \][/tex]
Now, substitute the given values into the formula:
[tex]\[ \text{mass} (\text{m}) = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
After performing the division:
[tex]\[ \text{mass} (\text{m}) \approx 5681.82 \, \text{kg} \][/tex]
Since the mass is approximately 5681.82 kg and the closest option provided is 5680 kg, that option would be the most suitable choice.
Therefore, the mass of the truck is approximately 5680 kg.
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