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Answer :
To find the truck's mass, we need to use the formula for momentum, which is:
[tex]\[ \text{momentum} (p) = \text{mass} (m) \times \text{velocity} (v) \][/tex]
We are given:
- The truck's velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex].
- The truck's momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{m}{5} \)[/tex].
First, let's adjust the given momentum to standard units of [tex]\( \text{kg} \cdot \text{m/s} \)[/tex]:
- Multiply the momentum by 5 to correct the units: [tex]\( 125,000 \times 5 = 625,000 \, \text{kg} \cdot \text{m/s} \)[/tex].
Now, we can solve for the truck's mass using the rearranged formula:
[tex]\[ m = \frac{p}{v} \][/tex]
Substitute the known values into the formula:
[tex]\[ m = \frac{625,000}{22.0} \][/tex]
[tex]\[ m \approx 28,409.09 \, \text{kg} \][/tex]
The calculated mass does not match any of the given answer choices. Please make sure to check the initial question or any additional details that might affect the given answer options. However, based on this calculation, it appears that some detail might need revision to match the options provided.
[tex]\[ \text{momentum} (p) = \text{mass} (m) \times \text{velocity} (v) \][/tex]
We are given:
- The truck's velocity is [tex]\( 22.0 \, \text{m/s} \)[/tex].
- The truck's momentum is [tex]\( 125,000 \, \text{kg} \cdot \frac{m}{5} \)[/tex].
First, let's adjust the given momentum to standard units of [tex]\( \text{kg} \cdot \text{m/s} \)[/tex]:
- Multiply the momentum by 5 to correct the units: [tex]\( 125,000 \times 5 = 625,000 \, \text{kg} \cdot \text{m/s} \)[/tex].
Now, we can solve for the truck's mass using the rearranged formula:
[tex]\[ m = \frac{p}{v} \][/tex]
Substitute the known values into the formula:
[tex]\[ m = \frac{625,000}{22.0} \][/tex]
[tex]\[ m \approx 28,409.09 \, \text{kg} \][/tex]
The calculated mass does not match any of the given answer choices. Please make sure to check the initial question or any additional details that might affect the given answer options. However, based on this calculation, it appears that some detail might need revision to match the options provided.
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