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Answer :
To find the mass of the bicycle, we can use the formula for momentum, which is:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given the momentum of the bicycle as [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex] and the velocity as [tex]\(4 \, \text{m/s}\)[/tex]. We need to solve for the mass.
Here's how you can do it step-by-step:
1. Write down the formula for momentum:
[tex]\[
\text{momentum} = \text{mass} \times \text{velocity}
\][/tex]
2. Substitute the given values into the formula:
[tex]\[
36 = \text{mass} \times 4
\][/tex]
3. Solve for mass:
To find the mass, divide both sides of the equation by the velocity:
[tex]\[
\text{mass} = \frac{36}{4}
\][/tex]
4. Calculate the mass:
[tex]\[
\text{mass} = 9 \, \text{kg}
\][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given the momentum of the bicycle as [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex] and the velocity as [tex]\(4 \, \text{m/s}\)[/tex]. We need to solve for the mass.
Here's how you can do it step-by-step:
1. Write down the formula for momentum:
[tex]\[
\text{momentum} = \text{mass} \times \text{velocity}
\][/tex]
2. Substitute the given values into the formula:
[tex]\[
36 = \text{mass} \times 4
\][/tex]
3. Solve for mass:
To find the mass, divide both sides of the equation by the velocity:
[tex]\[
\text{mass} = \frac{36}{4}
\][/tex]
4. Calculate 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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