A smooth sphere S moving with velocity 22(2i + j)ms-, where 2 > 0, collides obliquely with an identical sphere T which is at rest. After impact, sphere T starts to move in the direction of the vector (31 + 45). The coefficient of restitution between the two spheres is . * (a) State the direction of the impulse exerted by sphere S on sphere T. (b) Show that if 0 is the inclination of the direction of motion of sphere S to the line of impulses 3. 2 then cos 6 =. intelu

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