2. A person is swinging a rope with a 2kg block tied to the far end of it in a vertical loop moving with constant angular speed. The block appears to weigh 5 times as much as its actual weight when it's at the bottom most point of its swing. Draw a FBD for the block while at the bottom most point of its swing: Determine the angular velocity of the block, showing all calculation steps: 3. A 20kg child is seated on the floor of a 3m diameter merry-go-round, leaning their back up against a post at the very outer edge of it so that they are faced towards the middle of the merry-go-round as it is turning. The floor of the merry-go-round has a coefficient of static friction of 0.25 and the merry-go- round makes one complete revolution every 2 seconds. Draw a side view FBD for the child sitting on the merry-go-round: (hint: there are 4 forces acting on them) Determine the magnitude of the force acting on the child's back by the post, showing all calculation steps:1. A car is driving around a curve in the road that is icy (no friction). The curve has a radius of 50m and the road is banked at a 20 degree angle over the entire curve. Draw 2 sketches of this scenario: 1 from a top view and 1 from a side view. On the side view sketch, include all forces acting on the car in the form of a Free Body Diagram. Calculate the velocity required for the car to maintain its position on the road as it drives around the curve. Show all steps in your calculation process