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A roller coaster has a vertical drop of height 66 m and then is followed by a oop. It starts as a steep slope 75 degrees to the horizontal and then enters into a circular path of radius R. In order to stay below 4 tims the force of gravity at the bottom of the bend, what is the minimum radius of the bottom section of the loop.

After the bottom of the dip of radius R th track gradually transitions to the inverted part of the loop. What is the force of the rider at the top of the loop if the height of the loop is 33 m? Woud the change fall out of the riders pockets?

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