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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 :

To find the mass of the bicycle, we start with the definition of momentum:

$$
p = m \cdot v
$$

where
\( p \) is the momentum,
\( m \) is the mass, and
\( v \) is the velocity.

We are given that
\( p = 36 \, \text{kg} \cdot \text{m/s} \) and
\( v = 4 \, \text{m/s} \).

To solve for the mass \( m \), rearrange the equation:

$$
m = \frac{p}{v}
$$

Substitute the known values:

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

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

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