(50%) Problem 2: The eight ball, which has a mass of m 0.5 kg, is initially movi
ID: 1997314 • Letter: #
Question
(50%) Problem 2: The eight ball, which has a mass of m 0.5 kg, is initially moving with a velocity v 4.5 i m/s. It the strikes the six ball, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of 6 15 and the six ball is deflected by an angle of D 17.5 as shown in the figure. Otheexpertta.com 33% Part (a) Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v. d A 33% Part (b) What is the magnitude of the velocity, in meters per second, of the six ball? A 33% Part (c) What is the magnitude of the velocity of the eight ball,in meters per second, after the collision?Explanation / Answer
conserving the momentum in x- direction we have
m*4.5 = m*v1cos 15 + mv2 cos 17.5
0.966 v1 + 0.953 v2 = 4.5 ------(1)
conserving momentum in y - direction we have
0 + 0 = v1 sin 15 - v2 sin 17.5
v1sin 15 = v2 sin 17.5
v1 = 1.16 v2 -(2)
0.966*1.16 v2 + 0.953 v2 = 4.5
v2 = 2.16 m/s
v1 = 1.16*2.16 = 2.51 m/s
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