More than anything I need 5 - 7 of this homework. You have beenasked by your supervisors at A&L Engineering to design a rollercoaster for a new theme park. Because this design is in the initialstages, you have been asked to create a track for the ride. Yourcoaster should have at least two peaks and two valleys, and launchfrom an initial height of 75 meters. Each peak and valley shouldrepresent a vertical change of at least 20 meters. In your design,you should plan for a mass between 400 and 600 kilograms. Once youhave designed the track, you have been asked to calculate thekinetic energy, potential energy, momentum, and work done by thecart at various points throughout the track. Unless otherwisestated, you can ignore the effects of friction. Following yourcalculations, you have been asked to describe the energy transfersdetailed by these equations. Directions To complete this rollercoaster design report, complete the following: Create a diagram ofa roller coaster track containing at least two peaks and twovalleys. As you complete your report, you may wish to design a morecomplicated coaster. However, it should still have two peaks andtwo valleys that meet the requirements below and that you arecomfortable using in calculations and descriptions of energy andmomentum. Your diagram should include the following information: Aninitial height of 75 meters At least two peaks and two valleysrepresenting drops of over 20 meters A set mass for your rollercoaster cart between 400 and 600 kilograms Calculate the kineticenergy, potential energy, and momentum of the cart at the initialdrop for both peaks, and for both valleys. If your coaster has morethan two peaks and two valleys, select which peaks and valleys youwish to use in your calculations and clearly mark them on yourdiagram. In your calculations, be sure to explicitly state theequations you use and what values you will be substituting tocalculate the final value. Describe the energy transfers that occuras the cart moves along the track. This should be a narrativedescription of the energy transfers that occur at the initiallaunching point, peaks, and valleys. In your descriptions, addressthe following: At each of the identified points, how was kineticenergy transferred to potential energy, and vice versa? Whathappens to the total energy of the cart as it moves along thetrack? Why? How is the principle of conservation of energy appliedin this situation? In addition to your description of the motion ofthe cart on the track, you have been asked to model the motion ofthe cart as it comes to a stop at the end of the coaster. For thesecalculations, assume that the cart will inelastically collide witha cart of equal mass at rest on a flat surface. Calculate themomentum and kinetic energy of the cart before and after aninelastic collision. In your calculations, be sure to explicitlystate the equations you use and what values you will besubstituting to calculate the final value. Describe the energytransfers that occur as a cart inelastically collides with anobject of equal mass at rest. This should be a narrativedescription of the energy transfers that occur as the cartinelastically collides with a cart of equal mass. In yourdescriptions, address the following: What was the kinetic energy ofeach cart before and after the collision? What happens to the totalenergy of the system, now including both carts, as a result of theinelastic collision? Describe how the principle of conservation ofenergy is applied in this situation. Following the inelasticcollision of the carts, the two carts fuse into an object withdouble the mass of the original cart. There is then a frictionalsection of the track to slow the cart to a stop over 20 meters.Describe the amount of work due to friction and frictional forceexerted to stop both carts over 20 meters. Calculate the work dueto friction and frictional force. In your calculations, be sure toexplicitly state the equations you use and what values you will besubstituting to calculate the final value. Describe the energytransfers that occur as the cart is brought to a stop. This shouldbe a narrative description of the energy transfers—written todescribe these concepts to a nontechnical audience—that occur asthe cart is brought to a stop. In your descriptions, address thefollowing: What is the kinetic energy of the cart system before andafter it has been brought to a stop? What happens to the totalenergy of the system as a result of this change in motion? Describehow the principle of conservation of energy is applied in thissituation.