The image contains a multiple-choice question with four options, each represented by a circle that can be selected.The options are as follows:1) $22.5 \, \text{m/s}^2$, inward2) $6.4 \, \text{m/s}^2$, outward3) $22.5 \, \text{m/s}^2$, outward4) $6.4 \, \text{m/s}^2$, inwardEach option presents a numerical value of acceleration along with a direction, either inward or outward. **Problem: Centripetal Acceleration of a Car**A car is traveling around a circular track. If the car is traveling at a velocity of 8 m/s, what is the centripetal acceleration of the car?**Diagram Explanation:**The diagram depicts a circular track with a car shown on the track, moving in a circular path. The radius of the circle is marked as 10 meters (r = 10 m). An arrow from the center of the circle to the edge indicates the radius.**Solution:**The centripetal acceleration ($a_c$) of an object moving in a circle is given by the formula:\[ a_c = \frac{v^2}{r} \]Where:- $v$ is the velocity of the object (8 m/s),- $r$ is the radius of the circular path (10 m).Substitute the given values into the formula:\[ a_c = \frac{(8 \, \text{m/s})^2}{10 \, \text{m}} \]\[ a_c = \frac{64 \, \text{m}^2/\text{s}^2}{10 \, \text{m}} \]\[ a_c = 6.4 \, \text{m/s}^2 \]Therefore, the centripetal acceleration of the car is $6.4 \, \text{m/s}^2$.

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Description: The image contains a multiple-choice question with four options, each represented by a circle that can be selected.The options are as follows:1) $22.5 \, \text{m/s}^2$, inward2) $6.4 \, \text{m/s}^2$, outward3) $22.5 \, \text{m/s}^2$, outward4

Given: The velocity of the car is 8 m/s. The radius of the circular track is 10 m.

Answered: A car is traveling around a circular…

Science

Physics

A car is traveling around a circular track. If the car traveling at a velocity of 8 m/s, what is the centripetal acceleration of the car? r= 10m

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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