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 a=(-22.5î+ 20.2j) m/s², where î 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, (1) 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.

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 a=(-22.5î+ 20.2j) m/s², where î 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, (1) 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.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 35P

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