You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 48m, how fast must the cart be moving in order for to feel twice as heavy at the top of the loop?

You are riding a roller-coaster going around a vertical loop, on the inside of the loop. If the loop has a radius of 48m, how fast must the cart be moving in order for to feel twice as heavy at the top of the loop?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter11: Energy And Its Conservation

Section: Chapter Questions

Problem 83A

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

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