Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem 29PQ
Two particles with masses 2.0 kg and 4.0 kg are approaching each other with accelerations of 1.0 m/s2 and 2.0 m/s2, respectively, on a smooth, horizontal surface (with negligible friction). Find the magnitude of the acceleration of the center of mass of the system.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An object with mass m1 = 3.00 kg is moving along the positive x axis with a speed v1i = 2 m/s straight towards two objects with masses m2 = 2.00 kg and m3 = 4.00 kg, which are initially at rest. When they collide, object 1 comes to rest and object 2 moves away with a speed of v2f = 1.5 m/s at an angle of 50 degrees above the x axis. What is the direction of the velocity of the center of mass of the system comprised of all three objects after the collision?
A) Along the x axis
B) A an angle of 50 degrees above the x axis
C) At an angle of 50 degrees below the x axis
D) At an angle > 0 degrees and <50 degrees above the x axis
E) At an angle>0 degrees and <50 degrees below the x axis
The correct answer is A but I am confused why it is A, if you could explain the justification as to why the answer is option A.
Consider a system consisting of three objects: Object A with a mass of 2 kg located at position (1, 0), Object B with a mass of 3 kg located
at position (0, 2), and Object C with a mass of 1 kg located at position (-2, -1). What is the center of mass of this system?
Three particles of masses m1 = 2.5 kg, m2 = 4.1 kg and m3 = 3.1kg are atthe corners of an equilateral triangle of side 100 cm. If the particle m1 is located at theorigin Find the center of mass of the whole system. and Write the position of the center in unit-vector notation.
Chapter 10 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 10.1 - What Do You Already Know About Rockets? Think...Ch. 10.3 - Prob. 10.2CECh. 10.3 - Prob. 10.3CECh. 10.3 - Prob. 10.4CECh. 10.5 - What is the purpose of the ropes attached to the...Ch. 10 - Prob. 1PQCh. 10 - Prob. 2PQCh. 10 - Prob. 3PQCh. 10 - A mother pushes her son in a stroller at a...Ch. 10 - Prob. 5PQ
Ch. 10 - Estimate the magnitude of the momentum of a car on...Ch. 10 - Prob. 7PQCh. 10 - Prob. 8PQCh. 10 - What is the magnitude of the Earths momentum...Ch. 10 - The velocity of a 10-kg object is given by...Ch. 10 - A particle has a momentum of magnitude 40.0 kg ...Ch. 10 - Prob. 12PQCh. 10 - Latoya, sitting on a sled, is being pushed by...Ch. 10 - A baseball is thrown vertically upward. The mass...Ch. 10 - Center of Mass Revisited N Find the center of mass...Ch. 10 - Prob. 16PQCh. 10 - Prob. 17PQCh. 10 - Two metersticks are connected at their ends as...Ch. 10 - A boy of mass 25.0 kg is sitting on one side of a...Ch. 10 - Prob. 20PQCh. 10 - Prob. 21PQCh. 10 - Prob. 22PQCh. 10 - Prob. 23PQCh. 10 - Prob. 24PQCh. 10 - Prob. 25PQCh. 10 - A person of mass m stands on a rope ladder that is...Ch. 10 - Prob. 27PQCh. 10 - Prob. 28PQCh. 10 - Two particles with masses 2.0 kg and 4.0 kg are...Ch. 10 - A billiard player sends the cue ball toward a...Ch. 10 - A crate of mass M is initially at rest on a...Ch. 10 - Prob. 32PQCh. 10 - Prob. 33PQCh. 10 - According to the National Academy of Sciences, the...Ch. 10 - Prob. 35PQCh. 10 - Prob. 36PQCh. 10 - Prob. 37PQCh. 10 - Usually, we do not walk or even stand on a...Ch. 10 - Prob. 39PQCh. 10 - There is a compressed spring between two...Ch. 10 - There is a compressed spring between two...Ch. 10 - A submarine with a mass of 6.26 106 kg contains a...Ch. 10 - A 44.0-kg child finds himself trapped on the...Ch. 10 - Problems 44 and 45 are paired. C A model rocket is...Ch. 10 - A model rocket is shot straight up and explodes at...Ch. 10 - An astronaut finds herself in a predicament in...Ch. 10 - Prob. 47PQCh. 10 - Prob. 48PQCh. 10 - Prob. 49PQCh. 10 - Prob. 50PQCh. 10 - The space shuttle uses its thrusters with an...Ch. 10 - Prob. 52PQCh. 10 - Prob. 53PQCh. 10 - Prob. 54PQCh. 10 - Prob. 55PQCh. 10 - The cryogenic main stage of a rocket has an...Ch. 10 - To lift off from the Moon, a 9.50 105 kg rocket...Ch. 10 - Prob. 58PQCh. 10 - Prob. 59PQCh. 10 - Prob. 60PQCh. 10 - Prob. 61PQCh. 10 - An astronaut out on a spacewalk to construct a new...Ch. 10 - Prob. 63PQCh. 10 - Prob. 64PQCh. 10 - A racquetball of mass m = 43.0 g, initially moving...Ch. 10 - Prob. 66PQCh. 10 - Prob. 67PQCh. 10 - Prob. 68PQCh. 10 - A comet is traveling through space with speed 3.33...Ch. 10 - A ballistic pendulum is used to measure the speed...Ch. 10 - Prob. 71PQCh. 10 - Prob. 72PQCh. 10 - Prob. 73PQCh. 10 - Figure P10.74 provides artists with human...Ch. 10 - Prob. 75PQCh. 10 - A single-stage rocket of mass 308 metric tons (not...Ch. 10 - Prob. 77PQCh. 10 - A light spring is attached to a block of mass 4m...Ch. 10 - Prob. 79PQCh. 10 - Prob. 80PQCh. 10 - A Show that the total momentum of a system of...Ch. 10 - Prob. 82PQCh. 10 - Prob. 83PQ
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- During the filming of a certain movie scene, the director wants a small car (whose mass is m1) traveling due east at speed v1 to collide with a small truck (whose mass is m2) traveling north. The director also wants the collision to be arranged so that just afterward, the interlocked vehicles travel straight toward the camera. If the line between the camera and collision makes an angle of theta with respect to north, at what speed v2 should the trucker drive?arrow_forwardWhich one of the following is the y-coordinate of the centre of mass from three homogeneous solid spheres of masses 1 kg, 2 kg and 4 kg that are arranged with their centres at (2i + j + k) meters, (3i – 2 j + 2k) meters and (4i – j – 2k) meters respectively where i, j, and k are unit vectors in the x, y and z directionsarrow_forwardA system consists of two particles with masses m1 = 2 kg and m2 = 3 kg. Particle 1 is located at coordinates (2 m, 3 m) and particle 2 is located at coordinates (5 m, -1 m). Determine the coordinates of the center of mass of the system.arrow_forward
- You are holding a basketball and standing at rest on top of a skateboard. If you throw the basketball (of mass 0.625 kg) at a velocity of 7 m/s along the horizontal and you and the skateboard together have a mass of 85 kg, what is the magnitude of your velocity just after throwing the ball? Assume you can ignore air resistance, rolling resistance, and friction.arrow_forwardFour objects are situated along the y axis as follows: a 2.00-kg object is at +3.00 m, a 3.00-kg object is at +2.50 m, a 2.50-kg object is at the origin, and a 4.00-kg object is at −0.500 m. Where is the center of mass of these objects?arrow_forwardThree masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0, 0), (1.0 m, 1.0 m), and (2.0 m, -2.0 m),respectively. What is the location of the center of mass of the system?arrow_forward
- at the instant a 2 kg particle has a velocity of 4ms in the positive x-direction, a 3kg particle has a velocity of 5ms in the positive y-direction. what is the speed of the centre of mass of the two-particle system ?arrow_forwardThree skydivers are plummeting earthward. They are initially holding onto each other, but then push apart. Two skydivers of mass 70 and 80 kg gain horizontal velocities of 1.2 m/s north and 1.4 m/s southeast, respectively. What is the horizontal velocity of the third skydiver, whose mass is 55 kg?arrow_forwardA 2.00 kg particle has the xy coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the xy coordinates (0.600 m, 0.750 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you place a 3.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m,0.700 m)?arrow_forward
- A system of four particles moves along one dimension. The center of mass of the system is at rest, and the particles do not interact with any objects outside of the system. Find the velocity ?4v4 of particle 4 at ?1=3.07 st1=3.07 s given the details for the motion of particles 1, 2, and 3. particle 1:?1=1.33 kg,?1(?)=(6.97 m/s)+(0.321 m/s2)×?particle 1:m1=1.33 kg,v1(t)=(6.97 m/s)+(0.321 m/s2)×t particle 2:?2=3.53 kg,?2(?)=(8.27 m/s)+(0.315 m/s2)×?particle 2:m2=3.53 kg,v2(t)=(8.27 m/s)+(0.315 m/s2)×t particle 3:?3=3.89 kg,?3(?)=(7.43 m/s)+(0.447 m/s2)×?particle 3:m3=3.89 kg,v3(t)=(7.43 m/s)+(0.447 m/s2)×t particle 4:?4=4.55 kgarrow_forwardPART 1: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy coordi-nates (0.300 m, 0.750 m). Both lie on a horizontal plane. At what (a) x and (b) y coordinates must you placea 4.00 kg particle such that the center of mass of the three-particle system has the coordinates (0.500 m, 0.900 m)? PART 2: A rope is used to pull a 3.5 kg block at constant speed 6 m along a horizontal oor. The force onthe block from the rope is 7 N and directed = 20 above the horizontal. What are (a) the work done by therope's force, (b) the increase in thermal energy of the block- oor system. PART 3: Draw a labelled gure to explain the idea of turning point in terms of energy.arrow_forwardThree balls with masses of 3.0 kg, 1.0 kg, and 2.0 kg are located at coordinates (5.5m,5.5m), (6.0m,4.5m), and (1.5m,4.0m), respectively, and are connected by massless rods. What is the x-coordinate of the center of mass? For the three balls above, what is the y-coordinate of the center of mass?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Momentum | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=DxKelGugDa8;License: Standard YouTube License, CC-BY