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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]
We are given that the momentum is [tex]\(125,000 \, \text{kg} \cdot \frac{ \text{m} }{ \text{s} }\)[/tex] and the velocity is [tex]\(22.0 \, \frac{ \text{m} }{ \text{s} }\)[/tex].
To find the mass, we can rearrange the formula:
[tex]\[ \text{mass} = \frac{\text{Momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
After performing the division, we find:
[tex]\[ \text{mass} \approx 5681.818 \, \text{kg} \][/tex]
Looking at the options provided:
- 176 kg
- 2750 kg
- 5680 kg
- [tex]$11,400 kg$[/tex]
The closest option to the calculated mass is [tex]\(5680 \, \text{kg}\)[/tex].
So, the mass of the truck is approximately [tex]\(5680 \, \text{kg}\)[/tex].
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given that the momentum is [tex]\(125,000 \, \text{kg} \cdot \frac{ \text{m} }{ \text{s} }\)[/tex] and the velocity is [tex]\(22.0 \, \frac{ \text{m} }{ \text{s} }\)[/tex].
To find the mass, we can rearrange the formula:
[tex]\[ \text{mass} = \frac{\text{Momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
After performing the division, we find:
[tex]\[ \text{mass} \approx 5681.818 \, \text{kg} \][/tex]
Looking at the options provided:
- 176 kg
- 2750 kg
- 5680 kg
- [tex]$11,400 kg$[/tex]
The closest option to the calculated mass is [tex]\(5680 \, \text{kg}\)[/tex].
So, the mass of the truck is approximately [tex]\(5680 \, \text{kg}\)[/tex].
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