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Answer :
To solve the problem of finding the truck's mass, we need to use the formula for momentum. Momentum (p) is given by the product of an object's mass (m) and its velocity (v), which can be expressed with the formula:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
Given:
- Momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex]
- Velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex]
We need to find the mass, so we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
Calculating this gives us:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Rounding this to the nearest whole number provides a mass of approximately [tex]\( 5680 \, \text{kg} \)[/tex].
Therefore, the truck's mass is approximately [tex]\( 5680 \, \text{kg} \)[/tex]. The correct answer is [tex]\( 5680 \, \text{kg} \)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
Given:
- Momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex]
- Velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex]
We need to find the mass, so we can rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substituting the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
Calculating this gives us:
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Rounding this to the nearest whole number provides a mass of approximately [tex]\( 5680 \, \text{kg} \)[/tex].
Therefore, the truck's mass is approximately [tex]\( 5680 \, \text{kg} \)[/tex]. The correct answer is [tex]\( 5680 \, \text{kg} \)[/tex].
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