Question

A 1.55 kg falcon catches a 0.395 kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is initially 29.5 m/s and the dove's velocity is 7.15 m/s in the same direction?

Answer 1

The velocity after impact 24.96 m/s

Step-by-step explanation:

Given that,

Mass of falcon = 1.55 kg

Mass of dove = 0.395 kg

Velocity of falcon = 29.5 m/s

Velocity of dove = 7.15 m/s

We need to calculate the velocity after impact

Using conservation of momentum

`m_(1)u_(1)+m_(2)u_(2)=(m_(1)+m_(2))v`

Where,

u = initial velocity

v = final velocity

`m_(1)` = mass of falcon

`m_(2)` = mass of dove

Put the value in the equation (I)

`1.55*29.5+0.395*7.15=(1.55+0.395)v`

`v=(1.55*29.5+0.395*7.15)/((1.55+0.395))`

`v=24.96\ m/s`

Hence, The velocity after impact 24.96 m/s