distance will he have to compress the spring so that the car successfully loops the loop?

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter11: Energy And Its Conservation
Section: Chapter Questions
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As depicted, a Hot Wheels cars gets moving using a compressed spring. The radius, R, of the loop is 12 cm and the mass, m, of the car is 32 g.

a) If he uses a spring with constant of k = 32 N/m, by what distance will he have to compress the spring so that the car successfully loops the loop?

b) What initial speed will the car need to successfully loop the loop?

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