a) The total momentum of the child and the bike together is 121.05kg.m/s
b) The momentum of the child is 94.5kg.m/s
c) The momentum of the bike is 26.55kg.m/s
- Mass of child; [tex]m_1 = 21kg[/tex]
- Mass of bike; [tex]m_2 =5.9kg[/tex]
Since the child and the bike are together, the have the same velocity
- Velocity of the child and bike; [tex]v = 4.5m/s[/tex]
Momentum is simply the quantity of motion that a particle has. It is the product of mass and velocity. It is expressed as:
[tex]P = m * v[/tex]
Where m is the mass of the object and v is the velocity
a)
The total momentum of the child and the bike together.
Since the child and the bike have the same velocity,
The total momentum of the child and the bike together will be;
[tex]P = (m_1 + m_2) * v[/tex]
We substitute in our values
[tex]P = (21kg + 5.9kg) * 4.5m/s\\\\P = 26.9kg * 4.5m/s\\\\P = 121.05kg.m/s[/tex]
Therefore, the total momentum of the child and the bike together is 121.05kg.m/s
b)
The momentum of the child.
[tex]P = m_1 * v\\\\P = 21kg * 4.5m/s\\\\P = 94.5kg.m/s[/tex]
Therefore, the momentum of the child is 94.5kg.m/s
c)
The momentum of the bike.
[tex]P = m_2 * v\\\\P = 5.9kg * 4.5m/s\\\\P = 26.55kg.m/s[/tex]
Therefore, the momentum of the bike is 26.55kg.m/s.
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