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Answer :
Sure, let's solve this step by step!
We are given:
- The momentum of the bicycle: [tex]\(36 \, \text{kg} \cdot \text{m} / \text{s}\)[/tex]
- The velocity of the bicycle: [tex]\(4 \, \text{m} / \text{s}\)[/tex]
We need to find the mass of the bicycle.
The formula that connects momentum ([tex]\(p\)[/tex]), mass ([tex]\(m\)[/tex]), and velocity ([tex]\(v\)[/tex]) is:
[tex]\[ p = m \times v \][/tex]
To find the mass ([tex]\(m\)[/tex]), we can rearrange this formula:
[tex]\[ m = \frac{p}{v} \][/tex]
Now, let's plug in the given values:
[tex]\[ p = 36 \, \text{kg} \cdot \text{m} / \text{s} \][/tex]
[tex]\[ v = 4 \, \text{m} / \text{s} \][/tex]
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m} / \text{s}}{4 \, \text{m} / \text{s}} \][/tex]
When we divide 36 by 4, we get:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
So, the correct answer is:
[tex]\[ \boxed{9 \, \text{kg}} \][/tex]
We are given:
- The momentum of the bicycle: [tex]\(36 \, \text{kg} \cdot \text{m} / \text{s}\)[/tex]
- The velocity of the bicycle: [tex]\(4 \, \text{m} / \text{s}\)[/tex]
We need to find the mass of the bicycle.
The formula that connects momentum ([tex]\(p\)[/tex]), mass ([tex]\(m\)[/tex]), and velocity ([tex]\(v\)[/tex]) is:
[tex]\[ p = m \times v \][/tex]
To find the mass ([tex]\(m\)[/tex]), we can rearrange this formula:
[tex]\[ m = \frac{p}{v} \][/tex]
Now, let's plug in the given values:
[tex]\[ p = 36 \, \text{kg} \cdot \text{m} / \text{s} \][/tex]
[tex]\[ v = 4 \, \text{m} / \text{s} \][/tex]
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m} / \text{s}}{4 \, \text{m} / \text{s}} \][/tex]
When we divide 36 by 4, we get:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
So, the correct answer is:
[tex]\[ \boxed{9 \, \text{kg}} \][/tex]
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