The final velocity of m₁=2kg with its velocity at 5m/s will be 4 m/s.
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
The given data in the problem is;
(m₁) is the mass = 2 kg
initial velocity (u₁) =5m/s
(m₂) is the mass = 0.5
(u₂) initial velocity = 0 m/s
(v) is the velocity =.?
According to the law of conservation of momentum;
Momentum before collision =Momentum after collision
[tex]\rm m_1u_1 + m_2u_2 = v(m_1 + m_2) \\\\ 2(5) + 0.5(0) = v(2 + 0.5)\\\\10 = 2.5v\\\\ v = \frac{10}{2.5} \\\\ v = 4 \ m/s[/tex]
Hence,The final velocity of m₁=2kg with its velocity at 5m/s will be 4 m/s.
To learn more about the law of conservation of momentum refer;
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