Chapter 04, Problem 064 A particle moves horizontally in uniform circular motion

Question

Chapter 04, Problem 064 A particle moves horizontally in uniform circular motion, over a hortizontal xy plane. At one instant, it moves through the point at coordinates (4.80 m, 3,.80 m) witha velocity of-2.70 1 m/s and an acceleration of +11.5 my/s?. what are the (a) x and (b) y coordiates of the center of the crular path? Unit (a) Number (b) Number Click if you would like to Show Work for this question: Unit ( Open Show Work Question Attempts: 0 of 6 used SAVE POR LATER dy ivac slic1 0.2000 2373ohn Wley In All Rights Reserved. A Division of 2ohn Wiley & Sons Inc Version 4.24.1.20

Explanation / Answer

velocity v = -2.7 m/s, acceleration = 11.5 m/s2

a = v2 / r

r = v2 / a = 2.72 / 11.5 = 0.634 m

a) X coordinate is = 4.8 m

b) Y coordinate = 3.8 - 0.634 = 3.166 m

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