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Answer :
To determine the mass of the truck, we use the formula for momentum. The formula for momentum ([tex]\(p\)[/tex]) is given by:
[tex]\[ p = m \times v \][/tex]
where
- [tex]\(p\)[/tex] is the momentum,
- [tex]\(m\)[/tex] is the mass, and
- [tex]\(v\)[/tex] is the velocity.
In this problem, we are given:
- Momentum ([tex]\(p\)[/tex]) as 125,000 kg·m/s,
- Velocity ([tex]\(v\)[/tex]) as 22.0 m/s.
We need to find the mass ([tex]\(m\)[/tex]). We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Substituting the given values into this formula:
[tex]\[ m = \frac{125,000 \text{ kg·m/s}}{22.0 \text{ m/s}} \][/tex]
[tex]\[ m = 5681.818181818182 \text{ kg} \][/tex]
So, the mass of the truck is approximately 5680 kg when rounded appropriately.
The closest option from the given choices is 5680 kg.
[tex]\[ p = m \times v \][/tex]
where
- [tex]\(p\)[/tex] is the momentum,
- [tex]\(m\)[/tex] is the mass, and
- [tex]\(v\)[/tex] is the velocity.
In this problem, we are given:
- Momentum ([tex]\(p\)[/tex]) as 125,000 kg·m/s,
- Velocity ([tex]\(v\)[/tex]) as 22.0 m/s.
We need to find the mass ([tex]\(m\)[/tex]). We can rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Substituting the given values into this formula:
[tex]\[ m = \frac{125,000 \text{ kg·m/s}}{22.0 \text{ m/s}} \][/tex]
[tex]\[ m = 5681.818181818182 \text{ kg} \][/tex]
So, the mass of the truck is approximately 5680 kg when rounded appropriately.
The closest option from the given choices is 5680 kg.
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