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Answer :
Let's solve the problem step-by-step.
We are given the momentum and velocity of a bicycle, and we need to find its mass.
The formula that relates momentum (p), mass (m), and velocity (v) is:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We can rearrange this formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, let's substitute the given values into this formula:
- Momentum ([tex]\( p \)[/tex]) = [tex]\( 36 \, \text{kg} \cdot \text{m/s} \)[/tex]
- Velocity ([tex]\( v \)[/tex]) = [tex]\( 4 \, \text{m/s} \)[/tex]
So,
[tex]\[ \text{mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
When we divide these values, we get:
[tex]\[ \text{mass} = 9 \, \text{kg} \][/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 and velocity of a bicycle, and we need to find its mass.
The formula that relates momentum (p), mass (m), and velocity (v) is:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We can rearrange this formula to solve for mass:
[tex]\[ \text{mass} = \frac{\text{momentum}}{\text{velocity}} \][/tex]
Now, let's substitute the given values into this formula:
- Momentum ([tex]\( p \)[/tex]) = [tex]\( 36 \, \text{kg} \cdot \text{m/s} \)[/tex]
- Velocity ([tex]\( v \)[/tex]) = [tex]\( 4 \, \text{m/s} \)[/tex]
So,
[tex]\[ \text{mass} = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
When we divide these values, we get:
[tex]\[ \text{mass} = 9 \, \text{kg} \][/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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