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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 :

- Use the formula $p = mv$ to relate momentum, mass, and velocity.
- Rearrange the formula to solve for mass: $m = \frac{p}{v}$.
- Substitute the given values of momentum and velocity into the formula: $m = \frac{36}{4}$.
- Calculate the mass: $m = 9 \text{ kg}$. The mass of the bicycle is $\boxed{9 \text{ kg}}$.

### Explanation
1. Understanding the Problem
We are given the momentum and velocity of a bicycle and asked to find its mass. Momentum, mass, and velocity are related by the formula $p = mv$, where $p$ is momentum, $m$ is mass, and $v$ is velocity.

2. Identifying Given Information
We are given:
* Momentum $p = 36 \text{ kg} \cdot \text{m/s}$
* Velocity $v = 4 \text{ m/s}$
We want to find the mass $m$.

3. Rearranging the Formula
We can rearrange the formula $p = mv$ to solve for mass:
$$m = \frac{p}{v}$$

4. Substituting Values and Calculating Mass
Now, we substitute the given values into the formula:
$$m = \frac{36 \text{ kg} \cdot \text{m/s}}{4 \text{ m/s}}$$
$$m = 9 \text{ kg}$$

5. Stating the Final Answer
Therefore, the mass of the bicycle is $9 \text{ kg}$.

### Examples
Understanding momentum is crucial in sports. When a soccer player kicks a ball, they're transferring momentum to it. The more momentum, the harder it is to stop! Similarly, in cycling, a heavier bike moving at the same speed as a lighter one will have more momentum, making it harder to stop but also giving it more stability.

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Rewritten by : Barada