A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 247 m, and the car completes the turn in 32.0 s. 35.0° C B (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and j. m/s2 î + m/s2 ĵ (b) Determine the car's average speed. m/s (c) Determine its average acceleration during the 32.0-s interval. m/s2 î + m/s? ĵ

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 247 m, and the car completes the turn in 32.0 s. 35.0° C B (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and j. m/s2 î + m/s2 ĵ (b) Determine the car's average speed. m/s (c) Determine its average acceleration during the 32.0-s interval. m/s2 î + m/s? ĵ

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 15P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as...

See similar textbooks

Similar questions

What is the direction of the acceleration vector of a person on the spinning Earth if the person is (a) at the equator? (b) at some other latitude? (c) at the poles?
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15
Which of the following correctly describes the centripetal acceleration vector for a particle moving in a circular path? (a) constant and always perpendicular to the velocity vector for the particle (b) constant and always parallel to the velocity vector for the particle (c) of constant magnitude and always perpendicular to the velocity vector for the particle (d) of constant magnitude and always parallel to the velocity vector for the particle
The earth has a radius of 6380 km and turns around once on its axis in 24h. a) What is the radial acceleration of an object on the ground at the earth’s equator? Give your answer in units of m/s and compare your result with the gravitational acceleration g. b) What is the radial acceleration of an object on the ground at the earth’s geographic North pole?
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.
The Ferris wheel in the figure, which rotates counterclockwise, is just starting up. At a given instant, a passenger on the rim of the wheel and passing through the lowest point of his circular motion is moving at 3.00 m/sm/s and is gaining speed at a rate of 0.500 m/s2m/s2. 1.Find the magnitude of the passenger's acceleration at this instant in m/s^2 2.Find the direction of the passenger's acceleration at this instant. θ=___∘ to the right of vertical
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 254 m, and the car completes the turn in 35.0 s. (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and ĵ.____ m/s2 î + ____ m/s2 ĵ(b) Determine the car's average speed.____ m/s(c) Determine its average acceleration during the 35.0-s interval.___ m/s2 î + m/s2 ĵ
An automobile moves on a circular track of radius 1.02 km. It starts from rest from the point (x, y ) = (1.02 km, 0 km) and moves counterclockwise with a steady tangential acceleration such that it returns to the starting point with a speed of 29.3 m/s after one lap. (The origin of the Cartesian coordinate system is at the center of the circular track.) What are the car's position and velocity vectors when it is one-eighth of the way around the track? Express the vectors in terms of the unit vectors along the x- and y-axes.r = ( _____ i + _____ j) km v = ( _____ i + _____ j) m/s What is the tangential acceleration at this point?_______ m/s2What is the centripetal acceleration at this point?_______ m/s2
An object rolls off a tabletop with a horizontal velocity v0x = 18 m/s. The table is at a height y0 = 1.2 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up. What is the magnitude of the velocity (its speed) when it hits the floor?
A runner taking part in the 200 m dash must run around the end of a track that has a circular arc with a radius of curvature of 35 m. If he completes the 200 m dash in 24.2 s and runs at constant speed throughout the race, what is the magnitude of his centripetal acceleration (in m/s2) as he runs the curved portion of the track?
A pursue 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 pursue is (2.00 m/s^2)i + (4.00 m/s^2)j. At the instant and in unit-vector notation, what is the acceleration of the wallet?
A woman rides a carnival Ferris wheel at radius 15 m, completing five turns about its horizontal axis every minute.What are (a) the period of the motion, the (b) magnitude and (c) direction of her centripetal acceleration at the highest point, and the (d) magnitude and (e) direction of her centripetal acceleration at the lowest point?