In a game of billiards, ball A is given an initial velocity v 0 along the longitudinal axis of the table. It hits ball B and then ball C, which are both at rest. Balls A and C are observed to hit the sides of the table squarely at A' and C'. respectively, and ball B is observed to hit the side obliquely at B'. Knowing that v 0 = 4 m/s , v A = 1.92 m/s , and a = 1.65 m, determine (a) the velocities v B and v C of balls B and C, ( b ) the point C' where ball C hits the side of the table. Assume frictionless surfaces and perfectly elastic impacts (i.e., conservation of energy).
In a game of billiards, ball A is given an initial velocity v 0 along the longitudinal axis of the table. It hits ball B and then ball C, which are both at rest. Balls A and C are observed to hit the sides of the table squarely at A' and C'. respectively, and ball B is observed to hit the side obliquely at B'. Knowing that v 0 = 4 m/s , v A = 1.92 m/s , and a = 1.65 m, determine (a) the velocities v B and v C of balls B and C, ( b ) the point C' where ball C hits the side of the table. Assume frictionless surfaces and perfectly elastic impacts (i.e., conservation of energy).
Solution Summary: The author explains the velocities of balls B and C.
In a game of billiards, ball A is given an initial velocity v0 along the longitudinal axis of the table. It hits ball B and then ball C, which are both at rest. Balls A and C are observed to hit the sides of the table squarely at A' and C'. respectively, and ball B is observed to hit the side obliquely at B'. Knowing that
v
0
=
4
m/s
,
v
A
=
1.92
m/s
, and a = 1.65 m, determine (a) the velocities
v
B
and
v
C
of balls B and C, (b) the point C' where ball C hits the side of the table. Assume frictionless surfaces and perfectly elastic impacts (i.e., conservation of energy).
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