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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 of the bicycle is
$$ p = 36\ \text{kg} \cdot \text{m/s} $$
and its velocity is
$$ v = 4\ \text{m/s}. $$

The momentum of an object is defined as the product of its mass and velocity:
$$ p = m \times v. $$

To find the mass, we solve this equation for $m$:
$$ m = \frac{p}{v}. $$

Substitute the given values:
$$ m = \frac{36\ \text{kg} \cdot \text{m/s}}{4\ \text{m/s}}. $$

Now, perform the division:
$$ m = 9\ \text{kg}. $$

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

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