Hello I need some help with these questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great! 1. Draw free body diagrams for each of the following objects in uniform circular motion. Indicate the forces that cause centripetal acceleration in each case. a) The earth orbiting the sun b) A car turning a curve on a horizontal road c) A ball on a string swinging in circles on a horizontal surface d) A ball on a string swinging in vertical circles in the air at the top of the circle e) A ball on a string swinging in vertical circles in the air at the bottom of the circle f) A ball on a string swinging in horizontal circles in the air where the circle is below the end of the string at the center g) A pilot in a plane making a vertical circle in the air at the top of the loop where she is upside down h) A pilot in a plane making a vertical circle in the air at the bottom of the loop 2. How do banked curves help cars make turns more safely? Include a free body diagram. 3. A 225.6 g rock on a 0.745 m string is swung in a vertical circle. a) What is the slowest speed that the rock can have to stay on a circular path? b) What is the tension in the string at the bottom of the swing? 4. Kim's coffee cup is on her car's dash when she turns a 4.16 m corner at 20.6 km/h. What is the minimum coefficient of static friction between cup and the dash needed to prevent the coffee cup from slipping