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Answer :
Certainly! Let's solve the problem step by step.
We want to find the mass of a bicycle given its momentum and velocity.
1. Understand the Formula:
- The formula to calculate momentum (p) is:
[tex]\[
p = m \times v
\][/tex]
where [tex]\( p \)[/tex] is momentum, [tex]\( m \)[/tex] is mass, and [tex]\( v \)[/tex] is velocity.
2. Re-arrange the Formula to Solve for Mass:
- To find the mass [tex]\( m \)[/tex], we can rearrange the formula:
[tex]\[
m = \frac{p}{v}
\][/tex]
3. Substitute the Given Values:
- We are given that the momentum [tex]\( p \)[/tex] is [tex]\( 36 \, \text{kg} \cdot \text{m/s} \)[/tex] and the velocity [tex]\( v \)[/tex] is [tex]\( 4 \, \text{m/s} \)[/tex].
4. Calculate the Mass:
- Plug the values into the rearranged formula:
[tex]\[
m = \frac{36}{4}
\][/tex]
5. Perform the Calculation:
- When you divide 36 by 4, you get:
[tex]\[
m = 9 \, \text{kg}
\][/tex]
So, the mass of the bicycle is [tex]\( 9 \, \text{kg} \)[/tex].
We want to find the mass of a bicycle given its momentum and velocity.
1. Understand the Formula:
- The formula to calculate momentum (p) is:
[tex]\[
p = m \times v
\][/tex]
where [tex]\( p \)[/tex] is momentum, [tex]\( m \)[/tex] is mass, and [tex]\( v \)[/tex] is velocity.
2. Re-arrange the Formula to Solve for Mass:
- To find the mass [tex]\( m \)[/tex], we can rearrange the formula:
[tex]\[
m = \frac{p}{v}
\][/tex]
3. Substitute the Given Values:
- We are given that the momentum [tex]\( p \)[/tex] is [tex]\( 36 \, \text{kg} \cdot \text{m/s} \)[/tex] and the velocity [tex]\( v \)[/tex] is [tex]\( 4 \, \text{m/s} \)[/tex].
4. Calculate the Mass:
- Plug the values into the rearranged formula:
[tex]\[
m = \frac{36}{4}
\][/tex]
5. Perform the Calculation:
- When you divide 36 by 4, you get:
[tex]\[
m = 9 \, \text{kg}
\][/tex]
So, the mass of the bicycle is [tex]\( 9 \, \text{kg} \)[/tex].
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