YouTrylt 3 Suppose the speed of a particle is constant and not zero. If its acceleration is notzero, show that the acceleration is orthogonal to the velocity. Thus the acceleration only hasthe effect of changing the direction of the particle, not its speed. Can you think of a positionfunction that satisfies this situation?

Answered: YouTrylt 3 Suppose the speed of a…

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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YouTrylt 3 Suppose the speed of a particle is constant and not zero. If its acceleration is not
zero, show that the acceleration is orthogonal to the velocity. Thus the acceleration only has
the effect of changing the direction of the particle, not its speed. Can you think of a position
function that satisfies this situation?

Expert Solution

Step 1

Given that the speed of the particle is constant and the acceleration is not zero. we know that any particle is accelerated only when act on the body and when the force acts on the body the either the direction of the velocity changes or the magnitude of the velocity changes. But, here it is given that he speed is constant, which indicate the magnitude of the velocity is constant. So, we can conclude that the direction the velocity is changing continuously but the speed remains constant, which is only possible in the uniform circular motion.

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