(13%) Problem 5: The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 2.9i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of 0 = 280 and the six 8 ball is deflected by an angle of = 15, as shown in the figure. V 8 X. 6 D 6 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. Grade Summary V2 = V( v2/(2 ( cos(0) ( cos(D) + sin(0) ( sin(D) -| Deductions 0% Potential 100% cos(a) cos(D) cos(0) cotan (0) ( ) 7 8 9 HOME Submissions sin(o() sin(D) sin(0) 15 6 Attempts remaining: 996 tan(0) W B 1 2 3 (0% per attempt) 0 d g h 0 END detailed view m tan(D) V VO BACKSPA DEL CLEAR 0% 0% WN Submit Hint Feedback I give up! Hints: 2 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. -Momentum will be conserved in this collision, and is conserved separately in each direction. Write the conservation of momentum in both the x and y directions, using the components of the velocity. Then find the final velocity by using Pythagorean theorem. A 33% Part (b) What is the magnitude of the velocity, in meters per second, of the six ball? 4 33% Part (c) What is the magnitude of the velocity of the eight ball, in meters per second, after the collision