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