No Spacing Heading 1 " Editing Styles A&L Engineering New Roller Coaster Track Design 1. Create a diagram of a roller coaster track containing at least two peaks and two valleys. As you complete your report, you may wish to design a more complicated coaster. However, it should still have two peaks and two valleys that meet the requirements below and that you are comfortable using in calculations and descriptions of energy and momentum. Your diagram should include the following information: An initial height of 75 meters At least two peaks and two valleys representing drops of over 20 meters A set mass for your roller coaster cart between 400 and 600 kilograms Page 1 ors 1101 words [5\" Text Predictions: On 7'; Accessibility: Investigate Calibri (Body) 14 a - v FE 0 Normal No Spacing Heading 1 Editor LA B I U ab X, X E Editing Dictate Paste A Aav A A v IT A Styles Voice Editor Clipboard Font IN Paragraph o A set mass for your roller coaster cart between 400 and 600 kilograms 500Kg Height 75m P1 60m P2 45m V2 30m V1 10m Initial height 75m Peak(1) p1 = 60m Peak(2) p2 = 45m Cart weight = 500kg Valley(1)v1 = 10m Valley(2)v2 =30mCalibri (Body) 14 - v 2 - V O LA B I U vab X, X = Normal No Spacing Heading 1 Editing Editor Paste Dictate A A Aav A A Clipboard Font Paragraph Styles Voice Editor 2. Calculate the kinetic energy, potential energy, and momentum of the cart at the initial drop for both peaks, and for both valleys. If your coaster has more than two peaks and two valleys, select which peaks and valleys you wish to use in your calculations and clearly mark them on your diagram. In your calculations, be sure to explicitly state the equations you use and what values you will be substituting to calculate the final value. POTENTIAL ENERGY KENETIC ENERGY MOMENTUM Initial KE = 0J Initial M = V2mKE Initial PE = mgh V2 x 500 X 0 = 0 (500kg)(9.8m/s2) (75m) = 367,500J KEv1 = PE - PEV1 Mv1 = V2mKE PEV1 = mgh 367,500J - 49,000J V2 x 500 x 318500 = (500kg)(9.8)(10) = 318,500J 17846 kg.m/s = 49,000J KEp1 = PE - PEP1 Mp1 = V2mKE PEp1 = mgh 367,500J - 294,000J V2 x 500 x 73500 = 8573 (500kg) (9.8)(60) = 73,500J kg.m/s = 294,000J KE - PE - PE Page 2 of 5 1101 words Text Predictions: On Accessibility: Investigate Focus + 100%W Emma Owusu X On PROJECT THREE . Saved v Search EO AutoSave File Home Insert Draw Design Layout References Mailings Review View Help Comments Editing Share Calibri (Body) 14 B I U v Heading 1 ab X Normal No Spacing Editing Dictate Editor Paste A ~ A Aav A A IT Voice Editor Clipboard Font Paragraph IN Styles IN KEP1 = PE - PEP1 Mp1 = V2mKE PEp1 = mgh 367,500J - 294,000J V2 x 500 x 73500 = 8573 (500kg) (9.8)(60) = 73,500J kg.m/s = 294,000J KEv2 = PE - PEV2 Mv2 = V2mKE PEV2 = mgh 367,500J - 147,000J V2 x 500 x 220500 = (500kg) (9.8) (30) = 220,500J 14849 kg.m/s = 147,000 J KEp2 = PE - PEP2 Mp2 = V2mKE PEp2 = mgh 367,500J - 220,500J V2 x 500 x 147000 = (500kg) (9.8)(45) = 147,000J 12124 kg.m/s = 220,500 J 3. Describe the energy transfers that occur as the cart moves along the track. This should be a narrative description of the energy transfers thatWhen one falls, the other rises, and vice versa. 4' Calculate the momentum and kinetic energy ofthe cart before and after an inelastic collision. In your calculations, be sure to explicitly state the equations you use and what values you will be substituting to calculate the final value. . Describe the energy transfers that occur as a cart inelastically collides with an object of equal mass at rest. This should be a narrative description of the energy transfers that occur as the cart inelastically collides with a cart of equal mass. In your descriptions, address the following: energy of both carts, which are now considered to be a single system, to merge. There are several ways to illustrate the conservation of energy. The two carts first each provide energy to the new system. Both individual carts retain __a__|_|___c_)_f_ their energy after colliding. Following the inelastic collision of the carts, the two carts fuse into an object with double the mass of the original cart. There is then a frictional section of the track to slow the cart to a stop over 20 meters. Describe the amount of work due to friction and frictional force exerted to stop both carts over 20 meters. 6. Calculate the work due to friction and frictional force. In your calculations, be sure to explicitly state the equations you use and what values you will be substituting to calculate the final value. . Describe the energy transfers that occur as the cart is brought to a stop. This should be a narrative description of the energy transferswritten to describe these concepts to a nontechnical audiencethat occur as the cart is brought to a stop. In your descriptions, address the following: o What is the kinetic ener of the cart 5 stem before and after it has