Two billiard balls with the same mass m move towards 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. Write an expression for the horizontal component of the system's initial momentum, pi,x, in terms of m, v1i and v2i.  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.  If the initial speeds 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?  v2f = 1.0 m/s, in the negative x-direction. v2f = 1.0 m/s, in the positive x-direction. v2f = 2.0 m/s, in the positive x-direction. v2f = 0 m/s. v2f = 2.0 m/s, in the negative x-direction.

Horizons: Exploring the Universe (MindTap Course List)
14th Edition
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Author:Michael A. Seeds, Dana Backman
Publisher:Michael A. Seeds, Dana Backman
Chapter11: Neutron Stars And Black Holes
Section: Chapter Questions
Problem 18RQ
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Two billiard balls with the same mass m move towards 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.

Write an expression for the horizontal component of the system's initial momentum, pi,x, in terms of mv1i and v2i

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



If the initial speeds 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? 

v2f = 1.0 m/s, in the negative x-direction.
v2f = 1.0 m/s, in the positive x-direction.
v2f = 2.0 m/s, in the positive x-direction.
v2f = 0 m/s.
v2f = 2.0 m/s, in the negative x-direction.
y
Vii
V2i
Transcribed Image Text:y Vii V2i
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