Question 2 (6 marks) A suspended metal sphere, A (mass 40 g), is pulled to one side and released so that it hits an identical stationary sphere, B, at 0.50 m s". The collision is elastic, with no loss in kinetic energy, and sphere A stops on collision with sphere B. With what initial speed does sphere B move away from sphere A? [1] How high does sphere B rise vertically (relative to its initial position) before stopping momentarily? [1] Describe the subsequent motion of spheres B and A. [1] Suppose that on colliding, sphere A sticks to sphere B and they both moved off together (this can be made to happen using a small amount of plasticine stuck to sphere B's surface - the plasticine's mass can be ignored). i. With what initial speed do spheres B and A move after the collision? [1] ii. How much energy is lost in the collision? [1] Sphere B is removed, and sphere A is oscillating in a simple harmonic motion. The displacement of the motion can be modelled as the equation below D (m) = 0.008 cos(3.77r - 5.5x) Where r is in seconds and x is in metres. What is the period of the simple harmonic motion? [1]