The figure below shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m, = 0.520 kg and its center is initially at xy coordinates (-0.500 m, 0 m). The block has mass m2 = 0.180 kg and its center is initially at xy coordinates (0, -0.100 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) In unit-vector notation what is the acceleration of the center of mass of the cart-block system? (Express your answer in vector form.) dcom = m/s? (b) What is the velocity of the center of mass as a function of time t? (Assume t is in seconds.) (Express your answer in vector form.) com = m/s
The figure below shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m, = 0.520 kg and its center is initially at xy coordinates (-0.500 m, 0 m). The block has mass m2 = 0.180 kg and its center is initially at xy coordinates (0, -0.100 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible. (a) In unit-vector notation what is the acceleration of the center of mass of the cart-block system? (Express your answer in vector form.) dcom = m/s? (b) What is the velocity of the center of mass as a function of time t? (Assume t is in seconds.) (Express your answer in vector form.) com = m/s
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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![The figure below shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m1 = 0.520 kg and its center is initially at xy coordinates
(-0.500 m, 0 m). The block has mass m2 = 0.180 kg and its center is initially at xy coordinates (o, -0.100 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both
cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible.
m1
(a) In unit-vector notation what is the acceleration of the center of mass of the cart-block system? (Express your answer in vector form.)
dcom
m/s?
=
(b) What is the velocity of the center of mass as a function of time t? (Assumet is in seconds.) (Express your answer in vector form.)
V com
m/s
(c) Sketch the path taken by the system's center of mass. (Submit a file with a maximum size of 1 MB.)
Choose File no file selected
This answer has not been graded yet.
(d) Which of the following describes the path taken by the system's center of mass?
O bulges upward to the right
O bulges downward to the left
O straight
If the path bulges upward to the right or bulges downward to the left enter "0". If the path is straight, find the angle between it and the x axis. (counterclockwise from the +x-axis)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94ff4fec-8c60-4ff2-9b27-1ba17c465d2d%2F7ccba955-39d8-45ea-8f5d-6bd6743e75a3%2F5m4chzu_processed.png&w=3840&q=75)
Transcribed Image Text:The figure below shows an arrangement with an air track, in which a cart is connected by a cord to a hanging block. The cart has mass m1 = 0.520 kg and its center is initially at xy coordinates
(-0.500 m, 0 m). The block has mass m2 = 0.180 kg and its center is initially at xy coordinates (o, -0.100 m). The mass of the cord and pulley are negligible. The cart is released from rest, and both
cart and block move until the cart hits the pulley. The friction between the cart and the air track and between the pulley and its axle is negligible.
m1
(a) In unit-vector notation what is the acceleration of the center of mass of the cart-block system? (Express your answer in vector form.)
dcom
m/s?
=
(b) What is the velocity of the center of mass as a function of time t? (Assumet is in seconds.) (Express your answer in vector form.)
V com
m/s
(c) Sketch the path taken by the system's center of mass. (Submit a file with a maximum size of 1 MB.)
Choose File no file selected
This answer has not been graded yet.
(d) Which of the following describes the path taken by the system's center of mass?
O bulges upward to the right
O bulges downward to the left
O straight
If the path bulges upward to the right or bulges downward to the left enter "0". If the path is straight, find the angle between it and the x axis. (counterclockwise from the +x-axis)
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