Question

A 5 ball is at rest when it is struck head-on by a 2 kg ball moving along a track at 10 m/s. If the 2 kg ball is at rest after the collision. What is the speed of the 5 kg ball after the collision?

Answer 1

Answer:

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Answer 2

Answer:

The speed of 5kg ball after collision is 4m/s

Explanation:

Given that,a 5kg ball is at rest when it is struck head-on by a 2 kg ball moving along a track at 10 m/s.We are required to find the speed of 5kg ball after collision,if the 2kg ball is at rest.Lets write down the masses,initial and final velocities if the ball in a symbolic manner.

The masses of balls are $m_{1}=5kg\\m_{2}=2kg$

The initial and final velocities of the 5kg ball are $u_{1}=0\\v_{1}=v$

Similarly,the initial and final velocities of the 2kg ball are$u_{2}=10m/s\\v_{2}=0m/s$

To find the velocity of the 5kg ball after the collision we shall use the principle of Conservation of Linear momentum which states that-The combined momentum of bodies before collision is equal to the momentum of bodies after collision.Therefore,we write it as

$m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}$

Substituting the known values in above equation we get

$5\times0+2\times10=5v+0= > v=4m/s$

Therefore,the speed of 5kg ball after collision is 4m/s.

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