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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]
Given that the momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{m}{s} \)[/tex] and the velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex], we can solve for the mass by rearranging the formula:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substitute the known values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{m}{s}}{22.0 \, \text{m/s}} \][/tex]
Now, divide the momentum by the velocity:
[tex]\[ \text{mass} = 5,681.818181818182 \, \text{kg} \][/tex]
Since the problem provides choices for the mass, rounding the result to the nearest whole number gives us approximately:
[tex]\[ 5,680 \, \text{kg} \][/tex]
Therefore, the mass of the truck is [tex]\( 5,680 \, \text{kg} \)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
Given that the momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{m}{s} \)[/tex] and the velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex], we can solve for the mass by rearranging the formula:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Substitute the known values into the equation:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{m}{s}}{22.0 \, \text{m/s}} \][/tex]
Now, divide the momentum by the velocity:
[tex]\[ \text{mass} = 5,681.818181818182 \, \text{kg} \][/tex]
Since the problem provides choices for the mass, rounding the result to the nearest whole number gives us approximately:
[tex]\[ 5,680 \, \text{kg} \][/tex]
Therefore, the mass of the truck is [tex]\( 5,680 \, \text{kg} \)[/tex].
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