COLLEGE PHYSICS,V.2
11th Edition
ISBN: 9781305965522
Author: SERWAY
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 6, Problem 31P
a man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her around the waist, and they maintain their balance. (a) Sketch the problem with before-and-after diagrams, representing the skaters as blocks. (b) Is the collision best described as elastic, inelastic, or perfectly inelastic? Why? (c) Write the general equation for conservation of momentum in terms of m1, v1, m2, v2, and final velocity vf. (d) Solve the momentum equation for vf. (e) Substitute values, obtaining the numerical value for vf, their speed after the collision.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass
1.26 kg) and embeds itself in block 2 (mass 1.74 kg). The blocks end up with speeds v₁ -0.690 m/s and v₂ - 1.43 m/s (see Figure (2)).
Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1.
(a) Number
(b) Number i
Units
Units
21
(1)
@
-Frictionless
In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.09 kg) and embeds itself in block 2 (mass 1.60 kg). The blocks end up with speeds v1 = 0.570 m/s and v2 = 1.36 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1.
Consider a 33.2 kg block of wood sliding with 2.8 m/s to the left (in the negative xdirection) on an extremely slippery surface. At about 4.5 s, you throw a 9.4 kg lump of clay to the left, directly at the back of the block of wood. The lump of clay collides with and completely sticks to the block of wood, so that they both end up moving to the left with 5.1 m/s. a) Calculate the x-component of the lump of clay’s velocity right before it hits the block of wood. b) Qualitatively, draw a graph of the x-component of the net force acting on the block of wood vs. time. c) Qualitatively, draw a graph of the x-component of the momentum of the block of wood vs. time.
Chapter 6 Solutions
COLLEGE PHYSICS,V.2
Ch. 6.1 - Two masses m1 and m2, with m1 m2, have equal...Ch. 6.2 - A boy standing at one end of a floating raft that...Ch. 6.3 - A car and a large truck traveling at the same...Ch. 6.3 - An object of mass m moves to the right with a...Ch. 6.3 - A skater is using very low-friction rollerblades....Ch. 6.3 - In a perfectly inelastic one-dimensional collision...Ch. 6.3 - A bowling ball onboard a space station is floating...Ch. 6 - A batter bunts a pitched baseball, blocking the...Ch. 6 - If two objects collide and one is initially at...Ch. 6 - Two carts on an air track have the same mass and...
Ch. 6 - Two identical ice hockey pucks, labeled A and B,...Ch. 6 - A ball of clay of mass m is thrown with a speed v...Ch. 6 - A skater is standing still on a frictionless ice...Ch. 6 - A baseball is thrown from the outfield toward home...Ch. 6 - (a) If two automobiles collide, they usually do...Ch. 6 - Your physical education teacher throws you a...Ch. 6 - Two cans move in the same direction along a...Ch. 6 - For the situation described in the previous...Ch. 6 - An air bag inflates when a collision occurs,...Ch. 6 - At a bowling alley, two players each score a spare...Ch. 6 - An open box slides with constant speed across the...Ch. 6 - Does a larger net force exerted on an object...Ch. 6 - Does a larger net force always produce a larger...Ch. 6 - If two particles have equal momenta, are their...Ch. 6 - Two particles of different mass start from rest....Ch. 6 - Calculate the magnitude of the linear momentum for...Ch. 6 - A high-speed photograph of a club hitting a golf...Ch. 6 - A pitcher claims he can throw a 0.145-kg baseball...Ch. 6 - A 0.280-kg volleyball approaches a player...Ch. 6 - Drops of rain fall perpendicular to the roof of a...Ch. 6 - Show that the kinetic energy of a particle of mass...Ch. 6 - An object has a kinetic energy of 275 J and a...Ch. 6 - An estimated force vs. time curve for a baseball...Ch. 6 - A soccer player takes a corner kick, lofting a...Ch. 6 - A man claims he ran safely hold on to a 12.0-kg...Ch. 6 - A ball of mass 0.150 kg is dropped from rest from...Ch. 6 - A tennis player receives a shot with the ball...Ch. 6 - A car is stopped for a traffic signal. When the...Ch. 6 - A 65.0-kg basketball player jumps vertically and...Ch. 6 - The force shown in the force vs. time diagram in...Ch. 6 - A force of magnitude Fx acting in the x-direction...Ch. 6 - The forces shown in the force vs. time diagram in...Ch. 6 - A 3.00-kg steel ball strikes a massive wall at...Ch. 6 - The front 1.20 m of a 1 400-kg car is designed as...Ch. 6 - A pitcher throws a 0.14-kg baseball toward the...Ch. 6 - High-speed stroboscopic photographs show that the...Ch. 6 - A rifle with a weight of 30.0 N fires a 5.00-g...Ch. 6 - A 45.0-kg girl is standing on a 150.-kg plank. The...Ch. 6 - This is a symbolic version of Problem 23. A girl...Ch. 6 - Squids are the fastest marine invertebrates, using...Ch. 6 - A 75-kg fisherman in a 125-kg boat throws a...Ch. 6 - A 65.0-kg person throws a 0.045 0-kg snowball...Ch. 6 - Two objects of masses m1 = 0.56 kg m2 = 0.88 kg...Ch. 6 - An astronaut in her space suit has a total mass of...Ch. 6 - Three ice skaters meet at the center of a rink and...Ch. 6 - a man of mass m1 = 70.0 kg is skating at v1 = 8.00...Ch. 6 - An archer shoots an arrow toward a 3.00 102-g...Ch. 6 - Gayle runs at a speed of 4.00 m/s and dives on a...Ch. 6 - A 75.0-kg ice skater moving at 10.0 m/s crashes...Ch. 6 - A railroad car of mass 2.00 104 kg moving at 3.00...Ch. 6 - This is a symbolic version of Problem 35. A...Ch. 6 - Consider the ballistic pendulum device discussed...Ch. 6 - A cue ball traveling at 4.00 m/s makes a glancing,...Ch. 6 - In a Broadway performance, an 80.0-kg actor swings...Ch. 6 - Two shuffleboard disks of equal mass, one orange...Ch. 6 - A 0.030-kg bullet is fired vertically at 200 m/s...Ch. 6 - An bullet of mass m = 8.00 g is fired into a block...Ch. 6 - A 12.0-g bullet is fired horizontally into a 100-g...Ch. 6 - A 1200-kg car traveling initially with a speed of...Ch. 6 - A tennis ball of mass 57.0 g is held just above a...Ch. 6 - A space probe, initially at rest, undergoes an...Ch. 6 - A 25.0-g object moving to the right at 20.0 cm/s...Ch. 6 - A billiard ball rolling across a table at 1.50 m/s...Ch. 6 - A 90.0-kg fullback running cast with a speed of...Ch. 6 - Identical twins, each with mass 55.0 kg, are on...Ch. 6 - A 2.00 1O3-kg car moving cast at 10.0 m/s...Ch. 6 - Two automobiles of equal mass approach an...Ch. 6 - A billiard ball moving at 5.00 m/s strikes a...Ch. 6 - The Merlin rocket engines developed by SpaceX...Ch. 6 - One of the first ion engines on a commercial...Ch. 6 - NASAs Saturn V rockets that launched astronauts to...Ch. 6 - Prob. 57PCh. 6 - A spaceship at rest relative to a nearby star in...Ch. 6 - A spaceships orbital maneuver requires a speed...Ch. 6 - In research in cardiology and exercise physiology,...Ch. 6 - Most of us know intuitively that in a head-on...Ch. 6 - Consider a frictionless track as shown in Figure...Ch. 6 - A 2.0-g particle moving at 8.0 m/s makes a...Ch. 6 - A bullet of mass m and speed v passes completely...Ch. 6 - Prob. 65APCh. 6 - A 0.400-kg blue bead slides on a frictionless,...Ch. 6 - A 730-N man stands in the middle of a frozen pond...Ch. 6 - An unstable nucleus of muss 1.7 1026 kg,...Ch. 6 - Two blocks of masses m1 and m2 approach each other...Ch. 6 - Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg...Ch. 6 - A block with mass m1 = 0.500 kg is released from...Ch. 6 - Two objects of masses m and 3m are moving toward...Ch. 6 - A small block of mass m1 = 0.500 kg is released...Ch. 6 - A car of mass m moving at a speed v1 collides and...Ch. 6 - A cannon is rigidly attached to a carriage, which...Ch. 6 - Two blocks collide on a frictionless surface....Ch. 6 - (a) A car traveling due east strikes a car...Ch. 6 - A 60-kg soccer player jumps vertically upwards and...Ch. 6 - A boy of mass mb and his girlfriend of mass mg,...Ch. 6 - A 20.0-kg toboggan with 70.0-kg driver is sliding...Ch. 6 - Measuring the speed of a bullet. A bullet of mass...Ch. 6 - A flying squid (family Ommastrephidae) is able to...Ch. 6 - A 0.30-kg puck, initially at rest on a...Ch. 6 - A wooden block of mass M rests on a table over a...Ch. 6 - A 1.25-kg wooden block rests on a table over a...
Additional Science Textbook Solutions
Find more solutions based on key concepts
4.1 Write the symbols for the following elements.
a. copper
b. platinum
c. calcium
d. manganese
e. Iron
...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
An electric motor has an effective resistance of 32.0 and an inductive reactance of 45.0 when working under l...
Fundamentals of Physics Extended
More than one choice may apply. Using the terms listed below, fill in the blank with the proper term. anterior ...
Essentials of Human Anatomy & Physiology (12th Edition)
What is the pH range for acidic solutions? For basic solutions?
EBK INTRODUCTION TO CHEMISTRY
Identify each of the following reproductive barriers as prezygotic or postzygotic. a. One lilac species lives o...
Campbell Essential Biology with Physiology (5th Edition)
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
- From 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 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_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_forward
- There is a compressed spring between two laboratory carts of masses m1 = 105 g and m2 = 212 g. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity vi=2.035i m/s in the positive x direction (Fig. 10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart system? b. Find the velocity of cart 2. FIGURE P10.40 Problems 40 and 41.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_forwardThis is a symbolic version of Problem 23. A 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
- Estimate the magnitude of the momentum of a car on the highway.arrow_forwardIf a rainstorm drops 1 cm of rain over an area of 10km2 in the period of 1 hour, what is the momentum of the rain that falls in one second? Assume the terminal velocity of a raindrop is 10 m/s.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
- A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which includes fuel mass of 12.7 g. The duration of its burn is 1.90 s. (a) What is the average exhaust speed of the engine? (b) This engine is placed in a rocket body of mass 53.5 g. What is the final velocity of the rocket if it were to be fired from rest in outer space by an astronaut on a space-walk? Assume the fuel burns at a constant rate.arrow_forwardProblems 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_forwardOne 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
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