Question

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?

Answer 1

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

Step-by-step explanation:

We have given mass of the duck
`m_1=1kg`

Velocity of the duck
`v_1=1.5m/sec`

Mass of the bullet
`m_2=0.01kg`

Velocity of the bullet
`v_2=100m/sec`

From conservation of momentum we know that

Initial momentum = final momentum

So
`m_1v_1+m_2v_2=(m_1+m_2)v`

`1* 1.5+0.01* 100=(1+0.01)v`

`1.01v=2.5`

`v=2.4752m/sec`