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Answer :
Sure! Let's determine the mass of the bicycle step-by-step.
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].
We need to find the mass of the bicycle. The relationship between momentum ([tex]\(p\)[/tex]), mass ([tex]\(m\)[/tex]), and velocity ([tex]\(v\)[/tex]) is given by the formula:
[tex]\[
p = m \times v
\][/tex]
To solve for the mass ([tex]\(m\)[/tex]), we can rearrange the formula:
[tex]\[
m = \frac{p}{v}
\][/tex]
Substitute the given values into the formula:
[tex]\[
m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}}
\][/tex]
Calculate the mass:
[tex]\[
m = 9 \, \text{kg}
\][/tex]
So, the mass of the bicycle 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].
We need to find the mass of the bicycle. The relationship between momentum ([tex]\(p\)[/tex]), mass ([tex]\(m\)[/tex]), and velocity ([tex]\(v\)[/tex]) is given by the formula:
[tex]\[
p = m \times v
\][/tex]
To solve for the mass ([tex]\(m\)[/tex]), we can rearrange the formula:
[tex]\[
m = \frac{p}{v}
\][/tex]
Substitute the given values into the formula:
[tex]\[
m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}}
\][/tex]
Calculate the mass:
[tex]\[
m = 9 \, \text{kg}
\][/tex]
So, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
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