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Answer :
To find the mass of the bicycle, we can use the relationship between momentum, mass, and velocity. The formula for momentum ([tex]\( p \)[/tex]) is:
[tex]\[ p = m \cdot v \][/tex]
where [tex]\( p \)[/tex] is momentum, [tex]\( m \)[/tex] is mass, and [tex]\( v \)[/tex] is velocity.
We are given:
- Momentum ([tex]\( p \)[/tex]) is [tex]\( 36 \, \text{kg} \cdot \text{m/s} \)[/tex]
- Velocity ([tex]\( v \)[/tex]) is [tex]\( 4 \, \text{m/s} \)[/tex]
We need to find the mass ([tex]\( m \)[/tex]) of the bicycle. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Substitute the given values into the equation:
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
Calculate the mass:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is [tex]\( 9 \, \text{kg} \)[/tex].
[tex]\[ p = m \cdot v \][/tex]
where [tex]\( p \)[/tex] is momentum, [tex]\( m \)[/tex] is mass, and [tex]\( v \)[/tex] is velocity.
We are given:
- Momentum ([tex]\( p \)[/tex]) is [tex]\( 36 \, \text{kg} \cdot \text{m/s} \)[/tex]
- Velocity ([tex]\( v \)[/tex]) is [tex]\( 4 \, \text{m/s} \)[/tex]
We need to find the mass ([tex]\( m \)[/tex]) of the bicycle. To do this, we rearrange the formula to solve for mass:
[tex]\[ m = \frac{p}{v} \][/tex]
Substitute the given values into the equation:
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
Calculate the mass:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is [tex]\( 9 \, \text{kg} \)[/tex].
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