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Answer :
To determine the mass of the truck, we will use the formula for momentum, which is given by:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are told that the truck's momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{m}{s} \)[/tex] and its velocity is [tex]\( 22.0 \, \frac{m}{s} \)[/tex].
We'll rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, plug in the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{m}{s}}{22.0 \, \frac{m}{s}} \][/tex]
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
So, the closest option that matches this calculation is:
5680 kg.
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are told that the truck's momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{m}{s} \)[/tex] and its velocity is [tex]\( 22.0 \, \frac{m}{s} \)[/tex].
We'll rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, plug in the given values:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg} \cdot \frac{m}{s}}{22.0 \, \frac{m}{s}} \][/tex]
[tex]\[ \text{mass} = \frac{125,000}{22.0} \][/tex]
[tex]\[ \text{mass} \approx 5681.82 \, \text{kg} \][/tex]
So, the closest option that matches this calculation is:
5680 kg.
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