Two billiard balls undergo a head-on collision. Ball 1 is twice as heavy as ball 2. Initially, ball 1 moves with a speed u towards ball 2 which is at rest. Immediately after the collision, ball 1 travels at a speed of u/3 in the same direction. What type of collision has occurred? A)Inelastic; B)Elastic; C)Completely inelastic; D)cannot be determined from the information

skolepikegq9s

skolepikegq9s

Answered question

2023-02-21

Two billiard balls undergo a head-on collision. Ball 1 is twice as heavy as ball 2. Initially, ball 1 moves with a speed u towards ball 2 which is at rest. Immediately after the collision, ball 1 travels at a speed of u 3 in the same direction. What type of collision has occurred?
A)Inelastic;
B)Elastic;
C)Completely inelastic;
D)cannot be determined from the information

Answer & Explanation

Kamari Potts

Kamari Potts

Beginner2023-02-22Added 10 answers

The correct answer is B Elastic
Let mass of ball 1=2m
Mass of ball 2=m
Velocity of ball 1 before collision =u
Velocity of ball 1 after collision = u 3
Velocity of ball 2 before collision =0
Let final velocity of ball 2 = v 2
Momentum will be conserved because there is no outside force acting on the system.
Prior to and following a collision, using conservation of linear momentum.
( 2 m ) u + m ( 0 ) = ( m ) v 2 + ( 2 m ) ( u 3 )
or v 2 = 4 u 3
Now,
e = velocity of separation velocity of approach e = v 2 v 1 u 1 u 2 e = 4 u 3 u 3 u 0 = 1
Thus, collision is elastic.

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