Please help

PART A The figure shows a "theoretical" roller coaster with a circular loop, while some real-life ones are oval- shaped. Assume you are riding in the cart and the GPS on your smart phone informs you that you are travelling with a speed of 6 m/s at the top of the loop and 18.0 m/s at the bottom of the loop. You also know that the top of the loop has a radius of curvature of 3.2 m and the bottom of the loop has a radius of curvature of 16.0 m. 4. Draw a free-body diagram of all of the forces that act on you when your cart passes thru the top. Use Newton's second law to determine the normal force acting upon your 75-kg body at the top 2. Develop an equation that relates the initial speed at the top of the ramp to the speed at the top of the loop, Then assume the Roller Coaster cart starts at rest and moves only due to the forces of Commented [HK1]: "Speed at the top of the ramp" - is gravity and find the height (in meters) of the starting point so that you do not fall out of the cart. that needed? Students are likely to assume starting from rest PART B Perform an independent investigation using the internet, or other sources of information to learn the relevant geometry of a roller coast in a theme part such as Six- Flags, Hershey Park, or Busch Gardens. For your calculations, assume that friction forces between the cart and the track are negligible, that you are the only passenger in the cart, and that you have a mass of 75 kg. 3. What is name and location of the Roller Coaster that Typical Amusement Park Roller Coaster you have chosen to use for your calculations List the source(s) of information about the Roller Coaster you chose. List the numerical information you found, e.g. the height of the loop, the radii, etc. If you cannot find all the relevant information, make an estimate and explain your process. 4. Estimate the maximum speed at the top of the loop using the equations you developed in PART A. Does your answer seem reasonable? Some roller coaster loops are oval, not round. Why would you to design a loop with a small radius of curvature at the top of the loop and a larger radius at the bottom? You could use the following simulation to experiment with your design ideas. Choose the "Playground" option. https://phet.colorado.edu/sims/html/energy-skate-park/latest/energy-skate-park en.html 5. Find the typical force experienced by a NASA astronaut at liftoff from Cape Canaveral (and don't forget to cite the source.) Then use your strategy from PART A to estimate the normal force that is acting on the rider at the top of the loop. How high would the initial starting position of the roller coaster have to be for this force to equal the typical force at liftoff