A roller coaster cart of mass 500 kg starts from rest at the top of a hill, 40 meters high. At the bottom of the hill, friction and air resistance cause the cart to lose 20% of its mechanical energy. 1. Calculate the cart's potential energy at the top of the hill. 2. What would be the theoretical velocity at the bottom of the hill without energy losses? 3. What is the actual velocity at the bottom, considering the 20% energy loss? 4. What is the efficiency of the roller coaster in converting potential energy to kinetic energy?

A roller coaster cart of mass 500 kg starts from rest at the top of a hill, 40 meters high. At the bottom of the hill, friction and air resistance cause the cart to lose 20% of its mechanical energy. 1. Calculate the cart's potential energy at the top of the hill. 2. What would be the theoretical velocity at the bottom of the hill without energy losses? 3. What is the actual velocity at the bottom, considering the 20% energy loss? 4. What is the efficiency of the roller coaster in converting potential energy to kinetic energy?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter5: Energy

Section: Chapter Questions

Problem 63AP: A roller-coaster car of mass 1.50 103 kg is initially at the top of a rise at point . It then moves...

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