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Answer :
To find the mass of the bicycle, we use the relationship between momentum, mass, and velocity. Here's how you can understand it step-by-step:
1. Understanding Momentum:
- Momentum is the product of an object's mass and its velocity. It is given by the formula:
[tex]\[
\text{Momentum} = \text{Mass} \times \text{Velocity}
\][/tex]
- In this problem, the momentum is given as [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
2. Given Values:
- Momentum ([tex]\(p\)[/tex]) = [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex]
- Velocity ([tex]\(v\)[/tex]) = [tex]\(4 \, \text{m/s}\)[/tex]
3. Rearrange the formula to solve for mass:
- We want to find the mass ([tex]\(m\)[/tex]), so we rearrange the formula:
[tex]\[
\text{Mass} = \frac{\text{Momentum}}{\text{Velocity}}
\][/tex]
4. Substitute the given values into the formula:
- Substitute the momentum and velocity into the equation:
[tex]\[
\text{Mass} = \frac{36}{4}
\][/tex]
5. Calculate the mass:
- Simplify the division:
[tex]\[
\text{Mass} = 9 \, \text{kg}
\][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex]. So, the correct answer is [tex]\(9 \, \text{kg}\)[/tex].
1. Understanding Momentum:
- Momentum is the product of an object's mass and its velocity. It is given by the formula:
[tex]\[
\text{Momentum} = \text{Mass} \times \text{Velocity}
\][/tex]
- In this problem, the momentum is given as [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
2. Given Values:
- Momentum ([tex]\(p\)[/tex]) = [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex]
- Velocity ([tex]\(v\)[/tex]) = [tex]\(4 \, \text{m/s}\)[/tex]
3. Rearrange the formula to solve for mass:
- We want to find the mass ([tex]\(m\)[/tex]), so we rearrange the formula:
[tex]\[
\text{Mass} = \frac{\text{Momentum}}{\text{Velocity}}
\][/tex]
4. Substitute the given values into the formula:
- Substitute the momentum and velocity into the equation:
[tex]\[
\text{Mass} = \frac{36}{4}
\][/tex]
5. Calculate the mass:
- Simplify the division:
[tex]\[
\text{Mass} = 9 \, \text{kg}
\][/tex]
Therefore, 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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