Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 9, Problem 47P
A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (−30 m/s)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A projectile with a mass m = 200 kg and a velocity v = 100 m s−1 is fired at an angle of ϕ = 60 ◦ . At the highest point of its trajectory, it explodes and breaks into three pieces with the same mass. Two pieces have the same velocity magnitude as the projectile shortly before the explosion. One of those two pieces moves vertically downwards, and the other moves horizontally forward.
a) Compute the velocity of the third piece right after the explosion.
b) What was the released energy of the explosion?
A puck with mass mĄ = 2.42 [g] moves eastward with speed va = 1. 73 [m/s].It then collides with another
puck of mass mg = 1.25 [g] and is moving northward with a speed vg = 2. 26 [m/s]. After the collision,
puck A now moves at 48. 0° north of east, while puck B moves at 17.0° south of east.
А.
What are the speeds of the two pucks after the collision?
В.
Is energy lost or gained in the system? Support your answer by calculating the change in
mechanıcal energy of the system.
Two particles undergo an inelastic collision whose final kinetic energy
represents 31% of the initial kinetic energy. Before the collision, particle 1 of mass
mi = 0.5 kg moves at 5 m/s towards the east and particle 2 of mass m2 = 1 kg moves at
4 m/s at 30 ° south of west. After the collision, the velocity vector of particle 1 is
oriented to the north.
We will use the following notation: u1 the velocity vector of particle 1 before the collision,
u2 the speed vector of particle 2 before the collision, v 1 the speed vector of the particle
1 after the collision and v 2 the velocity vector of particle 2 after the collision.
a) Determine the components of the velocity vector of particle 2 before the collision.
b) Determine the modulus of the velocity vector of particle 1 after the collision.
c) Determine the modulus and orientation of the velocity vector of particle 2 after the
collision.
Chapter 9 Solutions
Fundamentals of Physics Extended
Ch. 9 - Figure 9-23 shows an overhead view of three...Ch. 9 - Figure 9-24 shows an overhead view of four...Ch. 9 - Consider a box that explodes into two pieces while...Ch. 9 - Figure 9-26 shows graphs of force magnitude versus...Ch. 9 - The free-body diagrams in Fig. 9-27 give, from...Ch. 9 - Figure 9-28 shows four groups of three or four...Ch. 9 - A block slides along a frictionless floor and into...Ch. 9 - Figure 9-30 shows a snapshot of block 1 as it...Ch. 9 - Two bodies have undergone an elastic...Ch. 9 - Figure 9-32: A block on a horizontal floor is...
Ch. 9 - Block 1 with mass m1 slides along an x axis across...Ch. 9 - Figure 9-34 shows four graphs of position versus...Ch. 9 - A 2.00 kg particle has the xy coordinates 1.20 m,...Ch. 9 - Figure 9-35 shows a three-particle system, with...Ch. 9 - Figure 9-36 shows a slab with dimensions d1 = 11.0...Ch. 9 - In Fig. 9-37, three uniform thin rods, each of...Ch. 9 - GO What are a the x coordinate and b the y...Ch. 9 - Figure 9-39 shows a cubical box that has been...Ch. 9 - ILW In the ammonia NH3 molecule of Fig. 9-40,...Ch. 9 - GO A uniform soda can of mass 0.140 kg is 12.0 cm...Ch. 9 - ILW A stone is dropped at t = 0. A second stone,...Ch. 9 - GO A 1000 kg automobile is at rest at a traffic...Ch. 9 - A big olive m = 0.50 kg lies at the origin of an...Ch. 9 - Prob. 12PCh. 9 - SSM A shell is shot with an initial velocity v0 of...Ch. 9 - In Figure 9-43, two particles are launched from...Ch. 9 - Figure 9-44 shows an arrangement with an air...Ch. 9 - GO Ricardo, of mass 80 kg, and Carmelita, who is...Ch. 9 - GO In Fig. 9-45a, a 4.5 kg dog stands on an 18 kg...Ch. 9 - A 0.70 kg ball moving horizontally at 5.0 m/s...Ch. 9 - ILW A 2100 kg truck traveling north at 41 km/h...Ch. 9 - GO At time t = 0, a ball is struck at ground level...Ch. 9 - A 0.30 kg softball has a velocity of 15 m/s at an...Ch. 9 - Figure 9-47 gives an overhead view of the path...Ch. 9 - Until his seventies, Henri LaMothe Fig. 9-48...Ch. 9 - In February 1955, a paratrooper fell 370 m from an...Ch. 9 - A 1.2 kg ball drops vertically onto a floor,...Ch. 9 - In a common but dangerous prank, a chair is pulled...Ch. 9 - SSM A force in the negative direction of an x axis...Ch. 9 - In tae-kwon-do, a hand is slammed down onto a...Ch. 9 - Suppose a gangster sprays Supermans chest with 3 g...Ch. 9 - Two average forces. A steady stream of 0.250 kg...Ch. 9 - Jumping up before the elevator hits. After the...Ch. 9 - A 5.0 kg toy car can move along an x axis; Fig....Ch. 9 - GO Figure 9-51 shows a 0.300 kg baseball just...Ch. 9 - Basilisk lizards can run across the top of a water...Ch. 9 - GO Figure 9-53 shows an approximate plot of force...Ch. 9 - A 0.25 kg puck is initially stationary on an ice...Ch. 9 - SSM A soccer player kicks a soccer ball of mass...Ch. 9 - In the overhead view of Fig. 9-54, a 300 g ball...Ch. 9 - SSM A 91 kg man lying on a surface of negligible...Ch. 9 - A space vehicle is traveling at 4300 km/h relative...Ch. 9 - Figure 9-55 shows a two-ended rocket that is...Ch. 9 - An object, with mass m and speed v relative to an...Ch. 9 - In the Olympiad of 708 B.C., some athletes...Ch. 9 - Prob. 44PCh. 9 - SSM WWW A 20.0 kg body is moving through space in...Ch. 9 - A 4.0 kg mess kit sliding on a frictionless...Ch. 9 - A vessel at rest at the origin of an xy coordinate...Ch. 9 - GO Particle A and particle B are held together...Ch. 9 - A bullet of mass 10 g strikes a ballistic pendulum...Ch. 9 - A 5.20 g bullet moving at 672 m/s strikes a 700 g...Ch. 9 - GO In Fig. 9-58, a 3.50 g bullet is fired...Ch. 9 - GO In Fig. 9-59, a 10 g bullet moving directly...Ch. 9 - Prob. 53PCh. 9 - A completely inelastic collision occurs between...Ch. 9 - ILW A 5.0 kg block with a speed of 3.0 m/s...Ch. 9 - In the before part of Fig. 9-60, car A mass 1100...Ch. 9 - Prob. 57PCh. 9 - In Fig. 9-62, block 2 mass 1.0 kg is at rest on a...Ch. 9 - ILW In Fig. 9-63, block 1 mass 2.0 kg is moving...Ch. 9 - Module 9-7 Elastic Collisions in One Dimension In...Ch. 9 - SSM A cart with mass 340 g moving on a...Ch. 9 - Two titanium spheres approach each other head-on...Ch. 9 - Block 1 of mass m1 slides along a frictionless...Ch. 9 - GO A steel ball of mass 0.500 kg is fastened to a...Ch. 9 - SSM A body of mass 2.0 kg makes an elastic...Ch. 9 - Block 1, with mass m1 and speed 4.0 m/s, slides...Ch. 9 - In Fig. 9-66, particle 1 of mass m1 = 0.30 kg...Ch. 9 - GO In Fig. 9-67, block 1 of mass m1 slides from...Ch. 9 - GO A small ball of mass m is aligned above a...Ch. 9 - GO In Fig. 9-69, puck 1 of mass m1 = 0.20 kg is...Ch. 9 - ILW In Fig. 9-21, projectile particle 1 is an...Ch. 9 - Ball B, moving in the positive direction of an x...Ch. 9 - After a completely inelastic collision, two...Ch. 9 - Two 2.0 kg bodies, A and B, collide. The...Ch. 9 - GO A projectile proton with a speed of 500 m/s...Ch. 9 - A 6090 kg space probe moving nose-first toward...Ch. 9 - SSM In Fig. 9-70, two long barges are moving in...Ch. 9 - Prob. 78PCh. 9 - SSM ILW A rocket that is in deep space and...Ch. 9 - An object is tracked by a radar station and...Ch. 9 - The last stage of a rocket, which is traveling at...Ch. 9 - Pancake collapse of a tall building. In the...Ch. 9 - Prob. 83PCh. 9 - Figure 9-73 shows an overhead view of two...Ch. 9 - Speed deamplifier. In Fig. 9-74, block 1 of mass...Ch. 9 - Speed amplifier. In Fig. 9-75, block 1 of mass m1...Ch. 9 - A ball having a mass of 150 g strikes a wall with...Ch. 9 - A spacecraft is separated into two parts by...Ch. 9 - SSM A 1400 kg car moving at 5.3 m/s is initially...Ch. 9 - ILW A certain radioactive parent nucleus...Ch. 9 - A 75 kg man rides on a 39 kg cart moving at a...Ch. 9 - Two blocks of masses 1.0 kg and 3.0 kg are...Ch. 9 - Prob. 93PCh. 9 - An old Chrysler with mass 2400 kg is moving along...Ch. 9 - SSM In the arrangement of Fig. 9-21, billiard ball...Ch. 9 - A rocket is moving away from the solar system at a...Ch. 9 - The three balls in the overhead view of Fig. 9-76...Ch. 9 - A 0.15 kg ball hits a wall with a velocity of 5.00...Ch. 9 - Prob. 99PCh. 9 - In a game of pool, the cue ball strikes another...Ch. 9 - Prob. 101PCh. 9 - In Fig. 9-79, an 80 kg man is on a ladder hanging...Ch. 9 - In Fig. 9 80, block 1 of mass m1 = 6.6 kg is at...Ch. 9 - Prob. 104PCh. 9 - SSM A 3.0 kg object moving at 8.0 m/s in the...Ch. 9 - A 2140 kg railroad flatcar, which can move with...Ch. 9 - SSM A 6100 kg rocket is set for vertical firing...Ch. 9 - A 500.0 kg module is attached to a 400.0 kg...Ch. 9 - SSM a How far is the center of mass of the...Ch. 9 - A 140 g ball with speed 7.8 m/s strikes a wall...Ch. 9 - SSM A rocket sled with a mass of 2900 kg moves at...Ch. 9 - SSM A pellet gun fires ten 2.0 g pellets per...Ch. 9 - A railroad car moves under a grain elevator at a...Ch. 9 - Figure 9-82 shows a uniform square plate of edge...Ch. 9 - SSM At time t = 0, force F1=(4.00i+5.00j) N acts...Ch. 9 - Two particles P and Q are released from rest 1.0 m...Ch. 9 - A collision occurs between a 2.00 kg particle...Ch. 9 - In the two-sphere arrangement of Fig. 9-20, assume...Ch. 9 - In Fig. 9-83, block 1 slides along an x axis on a...Ch. 9 - A body is traveling at 2.0 m/s along the positive...Ch. 9 - An electron undergoes a one-dimensional elastic...Ch. 9 - Prob. 122PCh. 9 - An unmanned space probe of mass m and speed v...Ch. 9 - A 0.550 kg ball falls directly down onto concrete,...Ch. 9 - An atomic nucleus at rest at the origin of an xy...Ch. 9 - Particle 1 of mass 200 g and speed 3.00 m/s...Ch. 9 - During a lunar mission, it is necessary to...Ch. 9 - A cue stick strikes a stationary pool ball, with...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The following results were obtained from a broth dilution test for microbial susceptibility. Antibiotic Concent...
Microbiology: An Introduction
Examine the graph in Figure 6.3. Note that the growth rate increases slowly until the optimum is reached and th...
Microbiology with Diseases by Body System (5th Edition)
Contrast the fertility of an allotetraploid with an autotriploid and an autotetraploid.
Concepts of Genetics (12th Edition)
Examine the following diagrams of cells from an organism with diploid number 2n = 6, and identify what stage of...
Genetic Analysis: An Integrated Approach (3rd Edition)
What are four functions of connective tissue?
Anatomy & Physiology (6th Edition)
Checkpoint 25:
What is meant by the term gene expression?
Principles of Anatomy and Physiology
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
- A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?arrow_forwardFrom what might be a possible scene in the comic book The X-Men, the Juggernaut (mJ) is charging into Colossus (mC) and the two collide. The initial speed of the Juggernaut is vJi and the initial speed of Colossus is vCi. After the collision, the final speed of the Juggernaut is vJf and the final speed of Colossus is vCf as they each bounce off of the other, heading in opposite directions. a. What is the impulse experienced by the Juggernaut? b. What is the impulse experienced by Colossus? c. In your own words, explain how these impulses must compare with each other and how they are related to the average force each superhero experiences during the collision.arrow_forwardA space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?arrow_forward
- One object (m1 = 0.200 kg) is moving to the right with a speed of 2.00 m/s when it is struck from behind by another object (m2 = 0.300 kg) that is moving to the right at 6.00 m/s. If friction is negligible and the collision between these objects is elastic, find the final velocity of each.arrow_forwardA rocket has total mass Mi = 360 kg, including Mfuel = 330 kg of fuel and oxidizer. In interstellar space, it starts from rest at the position x = 0, turns on its engine at time t = 0, and puts out exhaust with relative speed ve = 1 500 m/s at the constant rate k = 2.50 kg/s. The fuel will last for a burn time of Tb = Mfuel/k = 330 kg/(2.5 kg/s) = 132 s. (a) Show that during the burn the velocity of the rocket as a function of time is given by v(t)=veln(1ktMi) (b) Make a graph of the velocity of the rocket as a function of time for times running from 0 to 132 s. (c) Show that the acceleration of the rocket is a(t)=kveMikt (d) Graph the acceleration as a function of time. (c) Show that the position of the rocket is x(t)=ve(Mikt)ln(1ktMi)+vet (f) Graph the position during the burn as a function of time.arrow_forwardSven hits a baseball (m = 0.15 kg). He applies an average force of 50.0 N. The ball had an initial velocity of 35.0 m/s to the right and a final velocity of 40.0 m/s to the left as viewed by a fan in the stands. a. What is the impulse delivered by Svens bat to the baseball? b. How long is his bat in contact with the ball?arrow_forward
- A 5-kg cart moving to the right with a speed of 6 m/s collides with a concrete wall and rebounds with a speed of 2 m/s. What is the change in momentum of the cart? (a) 0 (b) 40 kg m/s (c) 40 kg m/s (d) 30 kg m/s (e) 10 kg m/sarrow_forwardInitially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in Figure P11.40. They are released from rest simultaneously and collide elastically in the trough of the track. If m2 = 4 m1, m1 = 0.045 kg, and h = 0.65 m, what is the velocity of each ball after the collision?arrow_forwardA girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity vgp to the right relative to the plank. (The subscript gp denotes the girl relative to plank.) (a) What is the velocity vpi of the plank relative to the surface of the ice? (b) What is the girls velocity vgi relative to the ice surface?arrow_forward
- Problems 44 and 45 are paired. C A model rocket is shot straight up. As it reaches the highest point in its trajectory, it explodes in midair into three pieces with velocities indicated by the arrows in Figure P10.44, as viewed from directly above the explosion. Rank the mass of each piece in order from smallest to largest and justify your answer. FIGURE P10.44 Problems 44 and 45.arrow_forwardThe vector position of a 3.50-g particle moving in the xy plane varies in time according to r1=(3i+3j)t+2jt2, where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.50 g particle varies as r2=3i2it26jt. At t = 2.50 s, determine (a) the vector position of the center of mass of the system, (b) the linear momentum of the system, (c) the velocity of the center of mass, (d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.arrow_forwardSand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s as shown in Figure P8.64. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.750 m/s under the action of a constant horizontal external force Fext supplied by the motor that drives the belt. Find (a) the sands rate of change of momentum in the horizontal direction, (b) the force of friction exerted by the belt on the sand, (c) the external force Fext, (d) the work done by Fext in 1 s, and (e) the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion. (f) Why are the answers to parts (d) and (e) different? Figure P8.64arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Momentum | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=DxKelGugDa8;License: Standard YouTube License, CC-BY