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Two billiard balls of equal mass undergo a perfectly elastic head-on collision. If one ball's initial speed was 2.00 m/s, and the other's was 3.60 m/s in the opposite direction. What will be their speeds and directions after the collision?

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Coleen Amado
Coleen AmadoLv10
18 Dec 2020
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Two billiard balls of equal mass move at right angles and meet atthe origin of an xy
coordinate system. Ball A is moving upward along the y axis at 3m/sand ball B is moving to the right along the x axis with speed4.7m/s . After the collision, assumed elastic, ball B is movingalong the positive y axis. What is the final direction of ball Aand what are their two speeds?


Two identical objects traveling in opposite directions with thesame speed make a head-on collision.

Part C -
Find the speed of the first object after the collision if thecollision is perfectly elastic.

Part D
Find the speed of the second object after the collision if thecollision is perfectly elastic

(The correct answers involves the variable V)

Ā 

Two billiard balls with the same mass m move in the direction of one another. Ball one travels in the positive x-direction with a speed of v1i, and ball two travels in the negative x-direction with a speed of v2i. The two balls collide elastically, and both balls change direction after the collision.

a) Write an expression for the horizontal component of the system's initial momentum, pi,x, in terms of m, v1i and v2i.

b) Write an expression for the horizontal component of the system's final momentum, pf,x, in terms of m and the final speeds of ball one, v1f, and ball two, v2f.

c) If the initial speedx of the balls were v1i = 2.0 m/s and v2i = 1.0 m/s, what would be the final speed and direction of ball two, v2f, in meters per second?

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