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Answer :
To find the mass of the truck, we can use the formula for momentum, which is:
[tex]\[ p = m \times v \][/tex]
where [tex]\( p \)[/tex] is the momentum, [tex]\( m \)[/tex] is the mass, and [tex]\( v \)[/tex] is the velocity.
We are given:
- The momentum ([tex]\( p \)[/tex]) is [tex]\( 125,000 \, \text{kg} \cdot \text{m/s} \)[/tex].
- The velocity ([tex]\( v \)[/tex]) is [tex]\( 22.0 \, \text{m/s} \)[/tex].
We need to find the mass ([tex]\( m \)[/tex]) of the truck. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Now, substitute the given values into the equation:
[tex]\[ m = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
After performing the division:
[tex]\[ m \approx 5681.82 \, \text{kg} \][/tex]
The closest option from the given choices is [tex]\( 5680 \, \text{kg} \)[/tex]. Therefore, the mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
[tex]\[ p = m \times v \][/tex]
where [tex]\( p \)[/tex] is the momentum, [tex]\( m \)[/tex] is the mass, and [tex]\( v \)[/tex] is the velocity.
We are given:
- The momentum ([tex]\( p \)[/tex]) is [tex]\( 125,000 \, \text{kg} \cdot \text{m/s} \)[/tex].
- The velocity ([tex]\( v \)[/tex]) is [tex]\( 22.0 \, \text{m/s} \)[/tex].
We need to find the mass ([tex]\( m \)[/tex]) of the truck. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Now, substitute the given values into the equation:
[tex]\[ m = \frac{125,000 \, \text{kg} \cdot \text{m/s}}{22.0 \, \text{m/s}} \][/tex]
After performing the division:
[tex]\[ m \approx 5681.82 \, \text{kg} \][/tex]
The closest option from the given choices is [tex]\( 5680 \, \text{kg} \)[/tex]. Therefore, the mass of the truck is approximately [tex]\( 5680 \, \text{kg} \)[/tex].
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