been assuming is true all along.Questions1. Mass 1 (2.0 kg) is placed on the origin of the x – axis. Mass 2 (3.0 kg) is at x = 2.0 m and mass 3 (1.5kg) is at x = 5.0 m. Where is the center of mass of the system?2. Three uniform cubes of different sizes are made of the same material. The cubes are stacked in a pilewith a vertical line running through the center of each cube. Cube 1 has sides of length L, Cube 2 hassides of length 2L and cube 3 has sides of length 3L. Cube 1 is on top and 3 is on the bottom. Where isthe CM of the cubes?

Answered: Image /qna-images/answer/e4ab5d26-9dca-4ecf-84fc-b33801d44db3.jpg

Answered: 1. Mass 1 (2.0 kg) is placed on the…

1. Mass 1 (2.0 kg) is placed on the origin of the x – axis. Mass 2 (3.0 kg) is at x = 2.0 m and mass 3 (1.5 kg) is at x = 5.0 m. Where is the center of mass of the system?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 8PQ

See similar textbooks

Similar questions

In a head-on, inelastic collision, a 4,000-kg truck going 10 m/s east strikes a 1,000-kg car going 20 m/s west. (a) What is the speed and direction of the wreckage? (b) How much kinetic energy was lost in the Collision?
The 4 model rockets just have their engine turned off when they are at the same height. All the rockets are aimed straight up, but their speeds differ. Although they are the same size and shape, the rockets carry different loads, so their masses differ. The specific mass and speed for each rocket are given below: A. speed = 30m/s, mass = 700g B. speed = 40m/s, mass = 500g C. speed = 20m/s, mass = 600g D. speed = 20m/s, mass = 500g How much maximum height each model rocket will reach? Why they will reach different heights?
A boy jumps straight up with an initial speed of 5.00 m/s. The boy’s mass is 60.0 kg, and the mass of the earth is about 6.00 x 1024kg. a. What is the initial recoil speed of the earth? b. How much time does it take for the two to reach their maximum separation? i.e., how long until the boy starts down? c. How far did the boy move in this time? d. How far did the earth move in this time?
В. Solve the following problems below. You are required to show comp your final answer inside a box with the final unit of measurement. 1. Four squares, with equal side length 1 m, are arranged based on a rectangular coordinate as shown in the figure. The masses of A, B, C, and D are 1 kg, 2kg, 3 kg and 4kg respectively. Find the center of mass of the system of four squares with respect to the x and y axis.
A hula hoop is released from rest at the top of a playground slide. In going down the slide, the center of mass of the hula hoop moves down 3.82 meters. a. If the slide were frictionless and the hula hoop did not roll, how fast would the hula hoop be going at the bottom of the slide? Include units in your answer. b. In reality, the hula hoop rolls. How fast is the hula hoop (the center of mass of the hula hoop) going at the bottom of the slide? Include units in your answer. PLEASE RESPOND IN HANDWRITING
The Moon is 60 Earth radii (i.e. 60 rEarth) from the center of the Earth and has a mass of 0.012 Earth masses (i.e. 0.012 mEarth) a. How many Earth radii is the center of mass (the “barycenter”) of the Earth-Moon system from the center of the Earth? b. Is the center of mass inside the Earth or outside the Earth? c. What point along the line from the center of the Earth to the center of the Moon orbits the barycenter of the Solar System in a (nearly) circular orbit (e.g. the center of the Earth, the barycenter of the Earth-Moon system, the midpoint, the center of the Moon)?
Object A approaches object B which is stationary. Velocity of object A is V = 28i + 5j - 3k in m/s. Mass of A = 10 kgs and that of B = 4 kgs. If the impact is perfectly inelastic, 1. Compute the x-component of the velocity after impact a. 28i b. 48i c. 32i d. 20i 2. Compute the z-component of the velocity after impact. a. 4.14k b. 2.14k c. 3.14k d. 5.14k
Suppose that a cannon shots out a ball which then collides with a boulder on a cliff. Both the ball and boulder bounce off each other as they collide and they both retain their shapes. The velocity of the cannonball was 197 m/s and it has a mass of 13 kg. On the other hand, the boulder has a 2372 kg mass. a. What is the type of collision in the problem? Provide a proof based on the stated problem. b. Find the velocity of the cannonball after collision. c. Find the velocity of the boulder after collision.
Jill threw a dodgeball completely horizontal in x-direction with velocity of +5 m/s and mass of .5 kg. At the same time her friend threw a dodgeball with the same mass in the -x direction and a velocity of -2 m/s. The balls hit each other, and Jill's ball was deflected 30° above the original path, while her friend's deflected 20⁰. below the initial path. a. Ignoring gravity, solve the velocity of each ball after the collision, using a free body diagram. b. If both balls had a magnitude of 3 m/s, how much kinetic energy was "lost" during the collision?
Exercise 5. Solve the following problem. 1. Three particles have the following masses and coordinates: (1) 2 kg, (3 m, 2 m); (2) 3 kg, (1 m, -4 m); (3) 4 kg, (-3m, 5 m). Find the coordinates of the center of mass. 2. A 1000-kg automobile is moving along a straight highway at 10 m/s. Another car, with a mass 2000 kg and speed 20 m/s is 30 m ahead of the first. (a) Find the position of the center of mass of the two automobiles; (b) Find the velocity of the center of mass.
a. What is the position vector that starts at -50j and ends at 50 j? b. What is the position vector that starts at (-50 i - 20 j +10 k) lb and ends at (50 i + 20 j -10 k) lb c. What is the resultant sum of the moments in Cartesian vector form? Round your entries to the nearest whole number.
1. Three objects on a flat frictionless table (see figure) with the same speed v are about to collide and stick together. All three objects have the same mass. Consider the system consisting of all three objects. The two indicated angles (0) are the same. A. For part A, answer both questions below. Is the magnitude of the final momentum of the system greater than, less than, or equal to the magnitude of the initial momentum of the system? Is the final kinetic energy of the system greater than, less than, or equal to the initial kinetic energy of the system? B. Determine the final velocity in terms of the given variables.