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Answer :
Certainly! Let's solve the problem step by step:
1. Understand the Concepts:
- Momentum is defined as the product of an object's mass and its velocity. The formula is:
[tex]\[
\text{Momentum} = \text{mass} \times \text{velocity}
\][/tex]
2. Identify What We Know:
- We have a momentum of [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
- The velocity of the bicycle is [tex]\(4 \, \text{m/s}\)[/tex].
3. Set Up the Equation:
- Using the formula for momentum:
[tex]\[
36 = \text{mass} \times 4
\][/tex]
4. Solve for Mass:
- Rearrange the formula to solve for mass:
[tex]\[
\text{mass} = \frac{\text{momentum}}{\text{velocity}}
\][/tex]
- Substitute the given values into the equation:
[tex]\[
\text{mass} = \frac{36}{4}
\][/tex]
5. Calculate:
- Perform the division to find the mass:
[tex]\[
\text{mass} = 9 \, \text{kg}
\][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
1. Understand the Concepts:
- Momentum is defined as the product of an object's mass and its velocity. The formula is:
[tex]\[
\text{Momentum} = \text{mass} \times \text{velocity}
\][/tex]
2. Identify What We Know:
- We have a momentum of [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
- The velocity of the bicycle is [tex]\(4 \, \text{m/s}\)[/tex].
3. Set Up the Equation:
- Using the formula for momentum:
[tex]\[
36 = \text{mass} \times 4
\][/tex]
4. Solve for Mass:
- Rearrange the formula to solve for mass:
[tex]\[
\text{mass} = \frac{\text{momentum}}{\text{velocity}}
\][/tex]
- Substitute the given values into the equation:
[tex]\[
\text{mass} = \frac{36}{4}
\][/tex]
5. Calculate:
- Perform the division to find 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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