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In the homework, you were asked to calculate the minimum height needed for a roller coaster...

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Physics

In the homework, you were asked to calculate the minimum heightneeded for a roller coaster car to just barely make a circularloop-the-loop. Instead, suppose a roller coaster designer wants theriders to feel their seats pushing back on them with a force equalto their weight when the car is at the inside, top of the loop.What height h should the car be released from if this condition isto be met? Express your answer in terms of R. Ignorefriction.  
a. After drawing a free body diagram for a person in the car whenthe car is at the inside, top of the loop, determine a constraintequation on the square of the speed when the car is at thatposition. b. Apply conservation of energy to determine thenecessary, minimum height h. Express your answer in terms of theradius R of the loop.

Answer & Explanation Solved by verified expert
3.6 Ratings (591 Votes)
At a top of the loop we haveF FN m g m v2 RFN m v2 R m gWhere FN normal    See Answer
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