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Answer :
To find the truck's mass from its momentum and velocity, you can use the formula for momentum:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
Here, you are given the truck's momentum as [tex]\(125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}\)[/tex] and its velocity as [tex]\(22.0 \, \text{m/s}\)[/tex]. You need to solve for the truck's mass ([tex]\(\text{mass}\)[/tex]).
### Step-by-Step Solution:
1. Start with the momentum formula:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
2. Rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
3. Plug in the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
4. Perform the division:
[tex]\[ \text{mass} = 5681.818181818182 \, \text{kg} \][/tex]
The closest answer choice to this calculated mass is [tex]\(5680 \, \text{kg}\)[/tex].
Therefore, the truck's mass is approximately [tex]\(5680 \, \text{kg}\)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
Here, you are given the truck's momentum as [tex]\(125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}\)[/tex] and its velocity as [tex]\(22.0 \, \text{m/s}\)[/tex]. You need to solve for the truck's mass ([tex]\(\text{mass}\)[/tex]).
### Step-by-Step Solution:
1. Start with the momentum formula:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
2. Rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
3. Plug in the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
4. Perform the division:
[tex]\[ \text{mass} = 5681.818181818182 \, \text{kg} \][/tex]
The closest answer choice to this calculated mass is [tex]\(5680 \, \text{kg}\)[/tex].
Therefore, the truck's mass is approximately [tex]\(5680 \, \text{kg}\)[/tex].
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