Get detailed and reliable answers to your questions with IDNLearn.com. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.
Sagot :
To determine the mass of the bicycle, we can use the relationship between momentum (p), mass (m), and velocity (v). The formula for momentum is given by:
[tex]\[ p = m \cdot v \][/tex]
Where:
- [tex]\( p \)[/tex] is the momentum
- [tex]\( m \)[/tex] is the mass
- [tex]\( v \)[/tex] is the velocity
Given:
- The momentum [tex]\( p = 36 \, \text{kg} \cdot \text{m/s} \)[/tex]
- The velocity [tex]\( v = 4 \, \text{m/s} \)[/tex]
We need to solve for the mass [tex]\( m \)[/tex]. Rearranging the formula to solve for [tex]\( m \)[/tex], we get:
[tex]\[ m = \frac{p}{v} \][/tex]
Substitute the given values into this equation:
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
When we perform the division, we get:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is:
[tex]\[ \boxed{9 \, \text{kg}} \][/tex]
[tex]\[ p = m \cdot v \][/tex]
Where:
- [tex]\( p \)[/tex] is the momentum
- [tex]\( m \)[/tex] is the mass
- [tex]\( v \)[/tex] is the velocity
Given:
- The momentum [tex]\( p = 36 \, \text{kg} \cdot \text{m/s} \)[/tex]
- The velocity [tex]\( v = 4 \, \text{m/s} \)[/tex]
We need to solve for the mass [tex]\( m \)[/tex]. Rearranging the formula to solve for [tex]\( m \)[/tex], we get:
[tex]\[ m = \frac{p}{v} \][/tex]
Substitute the given values into this equation:
[tex]\[ m = \frac{36 \, \text{kg} \cdot \text{m/s}}{4 \, \text{m/s}} \][/tex]
When we perform the division, we get:
[tex]\[ m = 9 \, \text{kg} \][/tex]
Therefore, the mass of the bicycle is:
[tex]\[ \boxed{9 \, \text{kg}} \][/tex]
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and come back for more insightful information.