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A bicycle has a momentum of [tex]$36 \, \text{kg} \cdot \text{m/s}$[/tex] and a velocity of [tex]$4 \, \text{m/s}$[/tex]. What is the mass of the bicycle?

A. 9 kg
B. 32 kg
C. 40 kg
D. 144 kg

Answer :

We are given that the momentum [tex]$p$[/tex] of the bicycle is

[tex]$$p = 36 \, \text{kg·m/s},$$[/tex]

and the velocity [tex]$v$[/tex] is

[tex]$$v = 4 \, \text{m/s}.$$[/tex]

The relationship between momentum, mass, and velocity is given by the formula

[tex]$$p = m \cdot v.$$[/tex]

To find the mass [tex]$m$[/tex], we can rearrange the formula:

[tex]$$m = \frac{p}{v}.$$[/tex]

Substitute the given values into the equation:

[tex]$$m = \frac{36 \, \text{kg·m/s}}{4 \, \text{m/s}} = 9 \, \text{kg}.$$[/tex]

Thus, the mass of the bicycle is [tex]$\boxed{9 \, \text{kg}}$[/tex].

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