A roller coaster begins with the 500 [kg] car (including riders) on the lowest horizontal section of track released from a horizontal spring that has been compressed 6 [m]. It then enters a loop of radius 20 [m]. a) Find the spring stiffness k such that the car barely has enough speed to make it around the loop without falling. b) Find the speed of the car as it exits the loop if it barely made it around. c) Find the normal force on the car due to the track when it is 40 degrees away from the top of the loop. (Draw
A roller coaster begins with the 500 [kg] car (including riders) on the lowest horizontal section of track released from a horizontal spring that has been compressed 6 [m]. It then enters a loop of radius 20 [m].
a) Find the spring stiffness k such that the car barely has enough speed to make it around the loop without falling.
b) Find the speed of the car as it exits the loop if it barely made it around.
c) Find the normal force on the car due to the track when it is 40 degrees away from the top of the loop. (Draw a radial line that touches the top of the loop and another that touches the car. The angle between these two radial lines at the center of the loop should be 40 degrees.)
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