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A purse at radius 2.00 m and a wallet at radius 3.00 m travel in uniform circular motion on the floor of a merry-go-round as the ride turns. They are on the same radial line. At one instant, the acceleration of the purse is
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- A purse at radius 2.00 m and a wallet at radius 3.00 m travel in uniform circular motion on the floor of a merry-go-round as the ride turns.They are on the same radial line. At one instant, the acceleration of the purse is (2.00 m/s2) + (4.00 m/s2) . At that instant and in unit-vector notation, what is the acceleration of the wallet?arrow_forwardThe velocity of a particle is V and is constant. It moves counterclockwise on a circle with center "O" and radius R. Draw the circle. When the particle is in the vector R position, draw vector R, vector V, vector A, and vector da/dt(time derivative of acceleration).arrow_forwardThe minute hand on a watch is 2.00 [cm] in length. What is the magnitude of the displacement vector of the tip of the minute hand from 8:00 to 8:20 a.m.? A) less than 2.00 [cm] B) from 2.00 [cm] to 2.60 [cm] C) from 2.61 [cm] to 3.20 [cm] D) from 3.21 [cm] to 3.80 [cm] E) greater than 3.80 [cm]arrow_forward
- Chapter 04, Problem 064 SN A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one instant, it moves through the point with coordinates (x, y) with a velocity of vi and an acceleration of -a j. In these expressions, v and a are the speed and the magnitude of acceleration, respectively, and thus are positive quantities. In terms of the variables given, what are the coordinates (a) xo and (b) yo of the center of the circular path? (a) Xo = Edit (b) Yo = ? Edit Click if you would like to Show Work for this question: Open Show Work Question Attempts: 0 of 10 used SAVE FOR LATER SUBMIT ANSWERarrow_forwardAn object moving at constant speed v around a circle of radius r has an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 20.5%, by what percentage does the radial acceleration increase?arrow_forwardIn the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d₁-320 m from the station and at angle 0₁ - 44° above the horizon. The airplane is tracked through an angular change A0 - 123° in the vertical east-west plane; its distance is then d₂ - 750 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon. (a) Number (b) Number W Units Units AP Airplane d₂ Radar disharrow_forward
- An airplane makes a gradual 270° turn (heading goes from north to west to south to east) while flying at a constant speed of 212 m/s and maintaining the same altitude. The process takes 15.6 seconds to complete and the radius of the turn is 2105 m. For this turn, the magnitude of the average acceleration of the plane is?arrow_forward30. In an assembly operation illustrated in Figure P3.30, a robot moves an object first straight upward and then also to the cast, around an arc forming one-quarter of a circle of radius 4.80 cm that lies in an east-west vertical plane. The robot then moves the object upward and to the north, through one-quarter of a circle of radius 3.70 cm that lies in a north-south North vertical plane. Find (a) the magnitude of the total dis- placement of the object and (b) the angle the total displacement makes with the vertical. East Figure P3.30arrow_forwardA cat rides a merry-go-round turning with uniform circular motion. At time t = 1.70 s, the cat's velocity is (3.90 m/s) î + (2.50 m/s) ĵ, measured on a horizontal xy coordinate system. At t2 = 5.30 s, its velocity is (-3.90 m/s) î + (-2.50) ĵ. What are (a) the magnitude of the cat's centripetal acceleration and (b) the magnitude of the cat's average acceleration during the time interval t2 - t1, which is less than a %3D period of the motion? (a) Number Unit (b) Number Unit >arrow_forward
- A particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the particle is equal to 3.22 m/s and changing at the rate of 6.46 m/s², what is the magnitude of the total acceleration of the particle?arrow_forwardA 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.arrow_forwardA 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 total acceleration is (-22.5 î + 20.2 ĵ ) m/s2. For that instant, (a) sketch a vectordiagram showing the components of its acceleration, (b) determine the magnitude of its radial acceleration, and (c) determine the speed and velocity of the ball.arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill