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Answer :
Certainly! Let's go through a step-by-step solution to find the mass of the bicycle.
We are given:
- The momentum of the bicycle is [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
- The velocity of the bicycle is [tex]\(4 \, \text{m/s}\)[/tex].
To find the mass of the bicycle, we can use the formula for momentum:
[tex]\[
\text{momentum} = \text{mass} \times \text{velocity}
\][/tex]
We need to solve for the mass. Rearrange the formula to find mass:
[tex]\[
\text{mass} = \frac{\text{momentum}}{\text{velocity}}
\][/tex]
Now, substitute the given values into the equation:
[tex]\[
\text{mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}}
\][/tex]
Perform the division:
[tex]\[
\text{mass} = 9 \, \text{kg}
\][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex]. The correct answer is [tex]\(9 \, \text{kg}\)[/tex].
We are given:
- The momentum of the bicycle is [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex].
- The velocity of the bicycle is [tex]\(4 \, \text{m/s}\)[/tex].
To find the mass of the bicycle, we can use the formula for momentum:
[tex]\[
\text{momentum} = \text{mass} \times \text{velocity}
\][/tex]
We need to solve for the mass. Rearrange the formula to find mass:
[tex]\[
\text{mass} = \frac{\text{momentum}}{\text{velocity}}
\][/tex]
Now, substitute the given values into the equation:
[tex]\[
\text{mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}}
\][/tex]
Perform the division:
[tex]\[
\text{mass} = 9 \, \text{kg}
\][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex]. The correct answer is [tex]\(9 \, \text{kg}\)[/tex].
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