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Answer :
To find the mass of the truck, we start with the formula for momentum:
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
We know the truck's momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex] and its velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex].
We need to find the mass, so we rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{Momentum}}{\text{velocity}} \][/tex]
Substitute the known values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Hence, the closest option to this calculated mass is approximately [tex]\( 5680 \, \text{kg} \)[/tex]. Therefore, the truck's mass is [tex]\( 5680 \, \text{kg} \)[/tex].
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
We know the truck's momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}} \)[/tex] and its velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex].
We need to find the mass, so we rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{Momentum}}{\text{velocity}} \][/tex]
Substitute the known values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{\text{m}}{\text{s}}}{22.0 \, \text{m/s}} \][/tex]
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
Hence, the closest option to this calculated mass is approximately [tex]\( 5680 \, \text{kg} \)[/tex]. Therefore, the truck's mass is [tex]\( 5680 \, \text{kg} \)[/tex].
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