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Solved: Two identical pucks collide on an air hockey
Chapter 8, Problem 45(choose chapter or problem)
Problem 45PE
Two identical pucks collide on an air hockey table. One puck was originally at rest. (a) If the incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0º ,what is the velocity (magnitude and direction) of the second puck? (You may use the result that θ1 − θ2 = 90º for elastic collisions of objects that have identical masses.) (b) Confirm that the collision is elastic.
Questions & Answers
QUESTION:
Problem 45PE
Two identical pucks collide on an air hockey table. One puck was originally at rest. (a) If the incoming puck has a speed of 6.00 m/s and scatters to an angle of 30.0º ,what is the velocity (magnitude and direction) of the second puck? (You may use the result that θ1 − θ2 = 90º for elastic collisions of objects that have identical masses.) (b) Confirm that the collision is elastic.
ANSWER:
Part (a)
Step 1 of 7:
The two identical pucks on air hockey table collide each other. Assume that one puck initially at rest. After the collision, the first puck has the velocity 6.00 m/s and scatters at an angle. We are going to find the velocity of the second puck. Consider the collision is elastic and the objects have the same mass.
The mass of the pucks =
The initial velocity of the first puck
The angle of the first puck °
The angle of the second puck is given by the relation
°
Therefore
°°
The angle of the second puck °