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For the game of billiards of Prob. 14.55, it is now assumed that v0 =5 m/s,vC = 3.2 m/s, and c = 1.22 m. Determine
(a) the velocities vA and vB of balls A and B,
(b) the point A' where ball A hits the side of the table. Problem 14.55: 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 v0 = 4 m/s, VA 1.92 m/s, v = and a = 1.65 m, determine (a) the velocities vB and vC 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 (that is, conservation of energy).
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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