A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its resultant acceleration is å = (-22.5î + 20.2j) m/s², where i is the unit vector along the horizontal direction (you can treat it as pointing to the right), and j is the unit vector along the vertical direction (you can treat it as pointing upward).
A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its resultant acceleration is å = (-22.5î + 20.2j) m/s², where i is the unit vector along the horizontal direction (you can treat it as pointing to the right), and j is the unit vector along the vertical direction (you can treat it as pointing upward).
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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![A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m
long. When the ball is 36.9° past the lowest point on its way up, its resultant
acceleration is à = (-22.5î + 20.2j) m/s², where i is the unit vector along the
horizontal direction (you can treat it as pointing to the right), and j is the unit
vector along the vertical direction (you can treat it as pointing upward).
For that instant,
(i) determine the magnitude of its centripetal
acceleration in m/s?
(ii) determine the speed of the ball in in m/s
(iii) determine the velocity of the ball in m/s, i and j.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc9a57bf-c42a-46d3-b332-f9d5464af0c3%2F730f0980-ef7c-4614-8954-03a1d319dbd6%2Fq2wwybo_processed.png&w=3840&q=75)
Transcribed Image Text:A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m
long. When the ball is 36.9° past the lowest point on its way up, its resultant
acceleration is à = (-22.5î + 20.2j) m/s², where i is the unit vector along the
horizontal direction (you can treat it as pointing to the right), and j is the unit
vector along the vertical direction (you can treat it as pointing upward).
For that instant,
(i) determine the magnitude of its centripetal
acceleration in m/s?
(ii) determine the speed of the ball in in m/s
(iii) determine the velocity of the ball in m/s, i and j.
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