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Answer :
To find the mass of the truck, we can use the formula for momentum:
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
We know the momentum of the truck is [tex]\(125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}\)[/tex] and its velocity is [tex]\(22.0 \, \frac{\text{m}}{\text{s}}\)[/tex]. We need to solve for the mass ([tex]\(m\)[/tex]).
1. Start with the momentum formula:
[tex]\[ 125,000 = \text{mass} \times 22.0 \][/tex]
2. To find the mass, divide both sides of the equation by the velocity:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
3. Perform the division:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
When rounding this to the nearest whole number, the mass is approximately [tex]\(5682 \, \text{kg}\)[/tex].
From the given options, the closest match to our calculated mass is [tex]\(5680 \, \text{kg}\)[/tex]. Therefore, the correct answer is:
5680 kg
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
We know the momentum of the truck is [tex]\(125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}\)[/tex] and its velocity is [tex]\(22.0 \, \frac{\text{m}}{\text{s}}\)[/tex]. We need to solve for the mass ([tex]\(m\)[/tex]).
1. Start with the momentum formula:
[tex]\[ 125,000 = \text{mass} \times 22.0 \][/tex]
2. To find the mass, divide both sides of the equation by the velocity:
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
3. Perform the division:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
When rounding this to the nearest whole number, the mass is approximately [tex]\(5682 \, \text{kg}\)[/tex].
From the given options, the closest match to our calculated mass is [tex]\(5680 \, \text{kg}\)[/tex]. Therefore, the correct answer is:
5680 kg
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