Turn over 11 Question 3 continued _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 3 is 5 marks) 12 4. 30° 30° 60° B A 2u 4m 3m 3u Figure 3 Two smooth uniform spheres, A and B, have equal radii. The mass of A is 3m and the mass of B is 4m. The spheres are moving on a smooth horizontal plane when they collide obliquely. Immediately before they collide, A is moving with speed 3u at 30° to the line of centres of the spheres and B is moving with speed 2u at 30° to the line of centres of the spheres. The direction of motion of B is turned through an angle of 90° by the collision, as shown in Figure 3. (i) Find the size of the angle through which the direction of motion of A is turned as a result of the collision. (ii) Find, in terms of m and u, the magnitude of the impulse received by B in the collision. 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