A small object with mass 4.30 kg moves counterclockwise with constant speed 1.55 rad/s in a circle of radius 3.40 m centered at the origin. It starts at the point with position vector 3.40î m. Then it undergoes an angular displacement of 8.85 rad. (a) What is its new position vector? -2.85i + 1.87j (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? second vy at 147 (c) What is its velocity? -2.86i – 4.42j m/s (d) In what direction is it moving? 123 x The response you submitted has the wrong sign.° from the +x direction. (e) What is its acceleration? m/s2 (f) Make a sketch of its position, velocity, and acceleration vectors. Choose File No file chosen This answer has not been graded yet. (g) What total force is exerted on the object? N

A small object with mass 4.30 kg moves counterclockwise with constant speed 1.55 rad/s in a circle of radius 3.40 m centered at the origin. It starts at the point with position vector 3.40î m. Then it undergoes an angular displacement of 8.85 rad. (a) What is its new position vector? -2.85i + 1.87j (b) In what quadrant is the object located and what angle does its position vector make with the positive x-axis? second vy at 147 (c) What is its velocity? -2.86i – 4.42j m/s (d) In what direction is it moving? 123 x The response you submitted has the wrong sign.° from the +x direction. (e) What is its acceleration? m/s2 (f) Make a sketch of its position, velocity, and acceleration vectors. Choose File No file chosen This answer has not been graded yet. (g) What total force is exerted on the object? N

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 49P

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Similar questions

Shown below are the components of the three vectors: X = 1.42 i - 3.85 j Y = 2.35 i - 3.30 j Z= Zx i + Zy j If Vector X ⋅ Z = 5.40, and Vector Y ⋅ Z = 12.10, find the magnitude of vector Z.
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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 a = (-22.5i + 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/s2 (ii) determine the speed of the ball in in m/s (iii) determine the velocity of the ball in m/s, i and j.
Two vectors are given by a = 1.5î−4.0ĵ and b = −11.9î + 8.1ĵ. What is the magnitude of b? i already found out magnitude of b is 1.44 but how to calculate the angle between vector b and the positive x-axis?
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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Vector A=7.2i+2.6j vector B=7.5i+7.4j the magnitude of the cross product
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Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the positive x-axis and has a magnitude of 43.0 m. The second, vector rB, points at an angle of 48.0° above the positive x-axis and has a magnitude of 75 m. What is the magnitude, in meters, and what is the direction of vector rC, in degrees? Give the direction as an angle measured counterclockwise from the positive x-axis.
Given two vectors A = -11.3 i+ 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the vector sum R = A + B makes with the +x-axis, measured counterclockwise from that axis. Express your answer in two decimal places.
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/s , 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.