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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, you can use the formula for momentum. Momentum is calculated as the product of mass and velocity:

[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]

You are given:

- Momentum = [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex]
- Velocity = [tex]\(4 \, \text{m/s}\)[/tex]

Using the formula, you can rearrange it to solve for mass:

[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]

Substitute the given values into the equation:

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

Now, calculate the mass:

[tex]\[ \text{mass} = 9 \, \text{kg} \][/tex]

Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].

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