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Answer :
We are given the momentum and velocity of the bicycle. The formula for momentum 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.
Given that the momentum [tex]$p$[/tex] is [tex]$36\, \text{kg} \cdot \text{m/s}$[/tex] and the velocity [tex]$v$[/tex] is [tex]$4\, \text{m/s}$[/tex], we can solve for the mass [tex]$m$[/tex] by rearranging the formula:
[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]
Performing the division:
[tex]$$
m = 9\, \text{kg}.
$$[/tex]
Thus, the mass of the bicycle is [tex]$\boxed{9\, \text{kg}}$[/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.
Given that the momentum [tex]$p$[/tex] is [tex]$36\, \text{kg} \cdot \text{m/s}$[/tex] and the velocity [tex]$v$[/tex] is [tex]$4\, \text{m/s}$[/tex], we can solve for the mass [tex]$m$[/tex] by rearranging the formula:
[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]
Performing the division:
[tex]$$
m = 9\, \text{kg}.
$$[/tex]
Thus, the mass of the bicycle is [tex]$\boxed{9\, \text{kg}}$[/tex].
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