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A 1.00-kg duck is flying overhead at 1.50 m/s when a hunter fires straight up. The 0.010 0-kg bullet is moving 100 m/s when it hits the duck and stays lodged in the duck’s body. What is the speed of the duck and bullet immediately after the hit?

Respuesta :

Answer:

Speed of the duck and bullet just after hit will be 2.4752 m/sec

Explanation:

We have given mass of the duck [tex]m_1=1kg[/tex]

Velocity of the duck [tex]v_1=1.5m/sec[/tex]

Mass of the bullet [tex]m_2=0.01kg[/tex]

Velocity of the bullet [tex]v_2=100m/sec[/tex]

From conservation of momentum we know that

Initial momentum = final momentum

So [tex]m_1v_1+m_2v_2=(m_1+m_2)v[/tex]

[tex]1\times 1.5+0.01\times 100=(1+0.01)v[/tex]

[tex]1.01v=2.5[/tex]

[tex]v=2.4752m/sec[/tex]

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