Answer:
(a) θ= 43.89°
(b)
Explanation:
Ball 1:
Ball 2:
As the collision is elastic, it means that kinetic energy and momentum are conserved. Following that, we apply the law of conservation of energy and momentum:
and
Where u is the velocity before the collision, and v are the velocities after the collision. Both previous equations can be simplified as:
and
This because the two balls have the same mass. We know that the cue ball is deflected and makes an angle of 30°. From conservation in x-direction, we get::
and
Solving we get:
From conservation in y-direction, we get:
From this, we solve this equation system and get the answers. Remember to add 30° to the angle obtained.