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Answer :
To find the mass of the bicycle, we will use the relationship between momentum, mass, and velocity. The formula for momentum (p) is given by:
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We know the bicycle's momentum is [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex] and its velocity is [tex]\(4 \, \text{m/s}\)[/tex]. We'll use these values to find the mass.
1. Write down the formula:
[tex]\[ p = m \times v \][/tex]
2. Substitute the known values into the formula:
[tex]\[ 36 \, \text{kg} \cdot \text{m/s} = m \times 4 \, \text{m/s} \][/tex]
3. Solve for mass (m) by dividing both sides of the equation by the velocity:
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
4. Calculate the mass:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
[tex]\[ \text{momentum} = \text{mass} \times \text{velocity} \][/tex]
We know the bicycle's momentum is [tex]\(36 \, \text{kg} \cdot \text{m/s}\)[/tex] and its velocity is [tex]\(4 \, \text{m/s}\)[/tex]. We'll use these values to find the mass.
1. Write down the formula:
[tex]\[ p = m \times v \][/tex]
2. Substitute the known values into the formula:
[tex]\[ 36 \, \text{kg} \cdot \text{m/s} = m \times 4 \, \text{m/s} \][/tex]
3. Solve for mass (m) by dividing both sides of the equation by the velocity:
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
4. Calculate the mass:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is [tex]\(9 \, \text{kg}\)[/tex].
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