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•P54 Under certain conditions the interaction between a “polar" molecule such as HCI located at the origin and an ion located along the x axis can be described by a potential energy U = –b/x², where b is a constant. What is F, the x component of the force on the ion? What is Fy, the y component of the force on the ion?

•P54 Under certain conditions the interaction between a “polar" molecule such as HCI located at the origin and an ion located along the x axis can be described by a potential energy U = –b/x², where b is a constant. What is F, the x component of the force on the ion? What is Fy, the y component of the force on the ion?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem P54: Polar Molecule and Ion Interaction** Under certain conditions, the interaction between a "polar" molecule such as HCl located at the origin and an ion located along the \(x\) axis can be described by a potential energy \(U = -\frac{b}{x^2}\), where \(b\) is a constant. **Questions:** 1. What is \(F_x\), the \(x\) component of the force on the ion? 2. What is \(F_y\), the \(y\) component of the force on the ion? **Explanation:** This problem explores the force exerted by a potential energy field derived from the interaction of a polar molecule and an ion. The polar molecule is situated at the origin, affecting an ion along the \(x\)-axis with a potential energy inversely proportional to the square of the distance \(x\).
Transcribed Image Text:**Problem P54: Polar Molecule and Ion Interaction** Under certain conditions, the interaction between a "polar" molecule such as HCl located at the origin and an ion located along the \(x\) axis can be described by a potential energy \(U = -\frac{b}{x^2}\), where \(b\) is a constant. **Questions:** 1. What is \(F_x\), the \(x\) component of the force on the ion? 2. What is \(F_y\), the \(y\) component of the force on the ion? **Explanation:** This problem explores the force exerted by a potential energy field derived from the interaction of a polar molecule and an ion. The polar molecule is situated at the origin, affecting an ion along the \(x\)-axis with a potential energy inversely proportional to the square of the distance \(x\).
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