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Answer :
To find the mass of the bicycle, we can use the formula for momentum. The formula is:
[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]
In this problem, we know the momentum and the velocity of the bicycle. We need to find the mass. We can rearrange the formula to solve for mass:
[tex]\[ \text{Mass} = \frac{\text{Momentum}}{\text{Velocity}} \][/tex]
Now let's use the values given in the problem:
- The momentum is [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
- The velocity is [tex]\(4 \, \text{m/s}\)[/tex].
Plug these values into the formula:
[tex]\[ \text{Mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
When you divide [tex]\(36\)[/tex] by [tex]\(4\)[/tex], you get [tex]\(9\)[/tex].
So, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
Therefore, the correct answer is [tex]\(9 \, \text{kg}\)[/tex].
[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]
In this problem, we know the momentum and the velocity of the bicycle. We need to find the mass. We can rearrange the formula to solve for mass:
[tex]\[ \text{Mass} = \frac{\text{Momentum}}{\text{Velocity}} \][/tex]
Now let's use the values given in the problem:
- The momentum is [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
- The velocity is [tex]\(4 \, \text{m/s}\)[/tex].
Plug these values into the formula:
[tex]\[ \text{Mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
When you divide [tex]\(36\)[/tex] by [tex]\(4\)[/tex], you get [tex]\(9\)[/tex].
So, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
Therefore, the correct answer is [tex]\(9 \, \text{kg}\)[/tex].
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