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