Answer:
<em>The speed of the 8-ball is 2.125 m/s after the collision.</em>
Explanation:
<u>Law Of Conservation Of Linear Momentum</u>
The total momentum of a system of masses is conserved unless an external force is applied. The formula for the momentum of a body with mass m and velocity v is
P=mv
If we have a system of masses, then the total momentum is the sum of them all
If a collision occurs, the velocities change to v' and the final momentum is:
In a system of two masses, the law of conservation of linear momentum takes the form:
The m1=0.16 Kg 8-ball is initially at rest v1=0. It is hit by an m2=0.17 Kg cue ball that was moving at v2=2 m/s.
After the collision, the cue ball remains at rest v2'=0. It's required to find the final speed v1' after the collision.
The last equation is solved for v1':
The speed of the 8-ball is 2.125 m/s after the collision.