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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]$$
p = 36 \, \text{kg} \cdot \text{m/s}
$$[/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 rearrange the formula:

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

Substitute the given values into the equation:

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

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

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