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Answer :
Sure, let's solve this step-by-step using the given information:
1. Understand the Formula:
- Momentum is calculated using the formula:
[tex]\[
\text{momentum} = \text{mass} \times \text{velocity}
\][/tex]
- We need to find the mass, so we can rearrange the formula to solve for it:
[tex]\[
\text{mass} = \frac{\text{momentum}}{\text{velocity}}
\][/tex]
2. Substitute the Given Values:
- Momentum = [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex]
- Velocity = [tex]\(4 \, \text{m/s}\)[/tex]
3. Solve for Mass:
[tex]\[
\text{mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} = 9 \, \text{kg}
\][/tex]
4. Conclusion:
- The mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
So, the correct answer is [tex]\(9 \, \text{kg}\)[/tex].
1. Understand the Formula:
- Momentum is calculated using the formula:
[tex]\[
\text{momentum} = \text{mass} \times \text{velocity}
\][/tex]
- We need to find the mass, so we can rearrange the formula to solve for it:
[tex]\[
\text{mass} = \frac{\text{momentum}}{\text{velocity}}
\][/tex]
2. Substitute the Given Values:
- Momentum = [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex]
- Velocity = [tex]\(4 \, \text{m/s}\)[/tex]
3. Solve for Mass:
[tex]\[
\text{mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} = 9 \, \text{kg}
\][/tex]
4. Conclusion:
- The mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
So, the correct answer is [tex]\(9 \, \text{kg}\)[/tex].
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