3. Design a roller coaster that falls down a long ramp and then enters a Loop-D-Loop.
(a) Specify the mass of the roller coaster and the radius of the Loop-D-Loop.
(b) Draw the FBD of the roller coaster at the top of the Loop-D-Loop (with origin and axes). Explicitly state the value of the normal force at that point.
(c) Calculate the speed of the roller coaster at the top of the Loop-D-Loop
. (d) Specify a starting height of the coaster at the top of the ramp that is tall enough to allow the roller coaster to clear the Loop-D-Loop.
(e) Determine how much energy was lost through friction.
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