Two children, Alan and Bhavana, are standing on the horizontal floor of a lift, as shown in Figure 3. The lift has mass $$\(250 \mathrm{~kg}\)$$. The lift is raised vertically upwards with constant acceleration by a vertical cable which is attached to the top of the lift. The cable is modelled as being light and inextensible. While the lift is accelerating upwards, the tension in the cable is $$\(3616 \mathrm{~N}\)$$. As the lift accelerates upwards, the floor of the lift exerts a force of magnitude $$\(565 \mathrm{~N}\)$$ on Alan and a force of magnitude $$\(226 \mathrm{~N}\)$$ on Bhavana. Air resistance is modelled as being negligible and Alan and Bhavana are modelled as particles. (a) By considering the forces acting on the lift only, find the acceleration of the lift. (3) (b) Find the mass of Alan. (3)

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