The ball with the greatest momentum is BALL B, which has a momentum of 36kg.m/s.
- Mass of Ball A; [tex]m_a = 0.45kg[/tex]
- Velocity of Ball A; [tex]v_a = 50m/s[/tex]
- Mass of Ball B; [tex]m_b = 0.45kg[/tex]
- Velocity of Ball B; [tex]v_b = 80m/s[/tex]
- Mass of Ball C; [tex]m_c = 0.45kg[/tex]
- Velocity of Ball C; [tex]v_c = 25m/s[/tex]
The Momentum of an object is simply the product of the mass of the object and its velocity. It is expressed as:
[tex]p = mv[/tex]
Where p is momentum, m is mass and v is velocity.
We substitute
BALL A
[tex]p = 0.45kg * 50m/s\\\\p = 22.5kg.m/s[/tex]
Momentum of ball A is 22.5kg.m/s
BALL B
[tex]p = 0.45kg * 80m/s\\\\p = 36kg.m/s[/tex]
Momentum of ball B is 36kg.m/s
BALL C
[tex]p = 0.45kg * 25m/s\\\\p = 11.25kg.m/s[/tex]
Momentum of ball C is 11.25kg.m/s
Hence, the ball with the greatest momentum is BALL B, which has a momentum of 36kg.m/s.
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