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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:
- Momentum ([tex]\( p \)[/tex]) = 125,000 kg·m/s
- Velocity ([tex]\( v \)[/tex]) = 22.0 m/s
We need to solve for the mass ([tex]\( m \)[/tex]). Rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{Momentum}}{\text{velocity}} \][/tex]
Plugging in the values we have:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg·m/s}}{22.0 \, \text{m/s}} \][/tex]
When you compute this:
[tex]\[ \text{mass} = 5,681.82 \, \text{kg} \][/tex]
Rounding the result to the nearest whole number gives us approximately 5,680 kg.
Therefore, the truck's mass is [tex]\( 5,680 \, \text{kg} \)[/tex].
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
Given:
- Momentum ([tex]\( p \)[/tex]) = 125,000 kg·m/s
- Velocity ([tex]\( v \)[/tex]) = 22.0 m/s
We need to solve for the mass ([tex]\( m \)[/tex]). Rearrange the formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{Momentum}}{\text{velocity}} \][/tex]
Plugging in the values we have:
[tex]\[ \text{mass} = \frac{125,000 \, \text{kg·m/s}}{22.0 \, \text{m/s}} \][/tex]
When you compute this:
[tex]\[ \text{mass} = 5,681.82 \, \text{kg} \][/tex]
Rounding the result to the nearest whole number gives us approximately 5,680 kg.
Therefore, the truck's mass is [tex]\( 5,680 \, \text{kg} \)[/tex].
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