High School

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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 need to use the formula that relates momentum, mass, and velocity:

[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]

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

We need to determine the mass of the bicycle. We can rearrange the formula to solve for mass:

[tex]\[ \text{Mass} = \frac{\text{Momentum}}{\text{Velocity}} \][/tex]

Now, plug in the given values:

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

When you calculate this, the result is:

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

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

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