1 Physics And Measurement 2 Motion In One Dimension 3 Vectors 4 Motion In Two Dimensions 5 The Laws Of Motion 6 Circular Motion And Other Applications Of Newton’s Laws 7 Energy Of A System 8 Conservation Of Energy 9 Linear Momentum And Collisions 10 Rotation Of A Rigid Object About A Fixed Axis 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Universal Gravitation 14 Fluid Mechanics 15 Oscillatory Motion 16 Wave Motion 17 Sound Waves 18 Superposition And Standing Waves 19 Temperature 20 The First Law Of Thermodynamics 21 The Kinetic Theory Of Gases 22 Heat Engines, Entropy, And The Second Law Of Thermodynamics 23 Electric Fields 24 Gauss’s Law 25 Electric Potential 26 Capacitance And Dielectrics 27 Current And Resistance 28 Direct-current Circuits 29 Magnetic Fields 30 Sources Of The Magnetic Field 31 Faraday’s Law 32 Inductance 33 Alternating Current Circuits 34 Electromagnetic Waves 35 The Nature Of Light And The Principles Of Ray Optics 36 Image Formation 37 Wave Optics 38 Diffraction Patterns And Polarization 39 Relativity Chapter9: Linear Momentum And Collisions
Chapter Questions Section: Chapter Questions
Problem 9.1QQ: Two objects have equal kinetic energies. How do the magnitudes of their momenta compare? (a) p1 p2... Problem 9.2QQ: Your physical education teacher throws a baseball to you at a certain speed and you catch it. The... Problem 9.3QQ: Two objects are at rest on a frictionless surface. Object 1 has a greater mass than object 2. (i)... Problem 9.4QQ: Rank an automobile dashboard, seat belt, and air bag, each used alone in separate collisions from... Problem 9.5QQ: In a perfectly inelastic one-dimensional collision between two moving objects, what condition alone... Problem 9.6QQ: A table-tennis ball is thrown at a stationary bowling ball. The table-tennis ball makes a... Problem 9.7QQ: A baseball bat of uniform density is cut at the location of its center of mass as shown in Figure... Problem 9.8QQ: A cruise ship is moving at constant speed through the water. The vacationers on the ship are eager... Problem 9.1OQ: You are standing on a saucer-shaped sled at rest in the middle of a frictionless ice rink. Your lab... Problem 9.2OQ Problem 9.3OQ: A massive tractor is rolling down a country road. In a perfectly inelastic collision, a small sports... Problem 9.4OQ: A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a... Problem 9.5OQ: A 5-kg cart moving to the right with a speed of 6 m/s collides with a concrete wall and rebounds... Problem 9.6OQ: A 57.0-g tennis ball is traveling straight at a player at 21.0 m/s. The player volleys the ball... Problem 9.7OQ: The momentum of an object is increased by a factor of 4 in magnitude. By what factor is its kinetic... Problem 9.8OQ: The kinetic energy of an object is increased by a factor of 4. By what factor is the magnitude of... Problem 9.9OQ: If two particles have equal momenta, are their kinetic energies equal? (a) yes, always (b) no, never... Problem 9.10OQ: If two particles have equal kinetic energies, are their momenta equal? (a) yes, always (b) no, never... Problem 9.11OQ: A 10.0-g bullet is fired into a 200-g block of wood at rest on a horizontal surface. After impact,... Problem 9.12OQ: Two particles of different mass start from rest. The same net force acts on both of them as they... Problem 9.13OQ: Two particles of different mass start from rest. The same net force acts on both of them as they... Problem 9.14OQ: A basketball is tossed up into the air, falls freely, and bounces from the wooden floor. From the... Problem 9.15OQ: A 3-kg object moving to the right on a frictionless, horizontal surface with a speed of 2 m/s... Problem 9.16OQ: A ball is suspended by a string that is tied to a fixed point above a wooden block standing on end.... Problem 9.17OQ: A car of mass m traveling at speed v crashes into the rear of a truck of mass 2m that is at rest and... Problem 9.18OQ: A head-on, elastic collision occurs between two billiard balls of equal mass. If a red ball is... Problem 9.1CQ: An airbag in an automobile inflates when a collision occurs, which protects the passenger from... Problem 9.2CQ: In golf, novice players are often advised to be sure to "follow through" with their swing. Why does... Problem 9.3CQ: An open box slides across a frictionless, icy surface of a frozen lake. What happens to the speed of... Problem 9.4CQ: While in motion, a pitched baseball carries kinetic energy and momentum. (a) Can we say that it... Problem 9.5CQ Problem 9.6CQ: A sharpshooter fires a rifle while standing with the butt of the gun against her shoulder. If the... Problem 9.7CQ: Two students hold a large bed sheet vertically between them. A third student, who happens to be the... Problem 9.8CQ: A juggler juggles three balls in a continuous cycle. Any one ball is in contact with one of his... Problem 9.9CQ: (a) Does the center of mass of a rocket in free space accelerate? Explain. (b) Can the speed of a... Problem 9.10CQ: On the subject of the following positions, state your own view and argue to support it. (a) The best... Problem 9.11CQ Problem 9.12CQ Problem 9.13CQ: A bomb, initially at rest, explodes into several pieces. (a) Is linear momentum of the system (the... Problem 9.1P: A particle of mass m moves with momentum of magnitude p. (a) Show that the kinetic energy of the... Problem 9.2P: An object has a kinetic energy of 275 J and a momentum of magnitude 25.0 kg m/s. Find the speed and... Problem 9.3P: At one instant, a 17.5-kg sled is moving over a horizontal surface of snow at 3.50 m/s. After 8.75 s... Problem 9.4P: A 3.00-kg particle has a velocity of (3.00i4.00j)m/s. (a) Find its x and y components of momentum.... Problem 9.5P: A baseball approaches home plate at a speed of 45.0 m/s, moving horizontally just before being hit... Problem 9.6P: A 45.0-kg girl is standing on a 150-kg plank. Both are originally at rest on a frozen lake that... Problem 9.7P: A girl of mass mg is standing on a plank of mass mp. Both are originally at rest on a frozen lake... Problem 9.8P: A 65.0-kg boy and his 40.0-kg sister, both wearing roller blades, face each other at rest. The girl... Problem 9.9P: In research in cardiology and exercise physiology, it is often important to know the mass of blood... Problem 9.10P: When you jump straight up as high as you can, what is the order of magnitude of the maximum recoil... Problem 9.11P: Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is... Problem 9.12P: A man claims that he can hold onto a 12.0-kg child in a head-on collision as long as he has his seat... Problem 9.13P: An estimated force-time curve for a baseball struck by a bat is shown in Figure P9.13. From this... Problem 9.14P: Review. After a 0.300-kg rubber ball is dropped from a height of 1.75 m, it bounces off a concrete... Problem 9.15P: A glider of mass m is free to slide along a horizontal air track. It is pushed against a launcher at... Problem 9.16P: In a slow-pitch softball game, a 0.200-kg softball crosses the plate at 15.0 m/s at an angle of 45.0... Problem 9.17P: The front 1.20 m of a 1 400-kg car Ls designed as a crumple zone that collapses to absorb the shock... Problem 9.18P: A tennis player receives a shot with the ball (0.060 0 kg) traveling horizontally at 20.0 m/s and... Problem 9.19P: The magnitude of the net force exerted in the x direction on a 2.50-kg particle varies in time as... Problem 9.20P: Review. A force platform is a tool used to analyze the performance of athletes by measuring the... Problem 9.21P: Water falls without splashing at a rate of 0.250 L/s from a height of 2.60 m into a bucket of mass... Problem 9.22P: A 1 200-kg car traveling initially at vCi = 25.0 m/s in an easterly direction crashes into the back... Problem 9.23P: A 10.0-g bullet is fired into a stationary block of wood having mass m = 5.00 kg. The bullet imbeds... Problem 9.24P: A car of mass m moving at a speed v1 collides and couples with the back of a truck of mass 2m moving... Problem 9.25P: A railroad car of mass 2.50 104 kg is moving with a speed of 4.00 m/s. It collides and couples with... Problem 9.26P: Four railroad cars, each of mass 2.50 104 kg, are coupled together and coasting along horizontal... Problem 9.27P: A neutron in a nuclear reactor makes an elastic, head- on collision with the nucleus of a carbon... Problem 9.28P: A 7.00-g bullet, when fired from a gun into a 1.00-kg block of wood held in a vise, penetrates the... Problem 9.29P: A tennis ball of mass 57.0 g is held just above a basketball of mass 500 g as shown in Figure P9.17.... Problem 9.30P: As shown in Figure P9.30, a bullet of mass m and speed at passes completely through a pendulum bob... Problem 9.31P: A 12.0-g wad of sticky clay is hurled horizontally at a 100-g wooden block initially at rest on a... Problem 9.32P: A wad of sticky clay of mass m is hurled horizontally at a wooden block of mass M initially at rest... Problem 9.33P Problem 9.34P: (a) Three carts of masses m1 = 4.00 kg, m2 = 10.0 kg, and m3= 3.00 kg move on a frictionless,... Problem 9.35P: A 0.300-kg puck, initially at rest on a horizontal, frictionless surface, is struck by a 0.200-kg... Problem 9.36P Problem 9.37P: An object of mass 3.00 kg, moving with an initial velocity of 5.00 m/s, collides with and sticks to... Problem 9.38P: Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic,... Problem 9.39P: Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic,... Problem 9.40P: A proton, moving with a velocity of vii, collides elastically with another proton that is initially... Problem 9.41P: A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. After the collision,... Problem 9.42P: A 90.0-kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0-kg opponent running... Problem 9.43P: An unstable atomic nucleus of mass 17.0 10-27 kg initially at rest disintegrates into three... Problem 9.44P: The mass of the blue puck in Figure P9.44 is 20.0% greater than the mass of the green puck. Before... Problem 9.45P Problem 9.46P: The mass of the Earth is 5.97 1024 kg, and the mass of the Moon is 7.35 1022 kg. The distance of... Problem 9.47P: Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown... Problem 9.48P: A uniform piece of sheet metal is shaped as shown in Figure P9.24. Compute the x and y coordinates... Problem 9.49P: A rod of length 30.0 cm has linear density (mass per length) given by =50.0+20.0x where x is the... Problem 9.50P: A water molecule consists of an oxygen atom with two hydrogen atoms bound to it (Fig. P9.50). The... Problem 9.51P: A 2.00-kg particle has a velocity (2.00. 3.00) m/s, and a 3.00-kg particle has a velocity (1.00 +... Problem 9.52P: Consider a system of two particles in the xy plane: m1 = 2.00 kg is at the location... Problem 9.53P: Romeo (77.0 kg) entertains Juliet (55.0 kg) by playing his guitar from the rear of their boat at... Problem 9.54P: The vector position of a 3.50-g particle moving in the xy plane varies in time according to... Problem 9.55P: A ball of mass 0.200 kg with a velocity of 1.50 m/s meets a ball of mass 0.300 kg with a velocity of... Problem 9.56P Problem 9.57P: A particle is suspended from a post on top of a can by a light string of length L. as shown in... Problem 9.58P: A 60.0-kg person bends his knees and then jumps straight up. After his feet leave the floor, his... Problem 9.59P: Figure P9.59a shows an overhead view of the configuration of two pucks of mass In on frictionless... Problem 9.60P: A model rocket engine has an average thrust of 5.26 N. It has an initial mass of 25.5 g, which... Problem 9.61P: A garden hose is held as shown in Figure P9.32. The hose is originally full of motionless water.... Problem 9.62P: Review. The first stage of a Saturn V space vehicle consumed fuel and oxidizer at the rate of 150... Problem 9.63P: A rocket for use in deep space is to be capable of boosting a total load (payload plus rocket frame... Problem 9.64P: A rocket has total mass Mi = 360 kg, including Mfuel = 330 kg of fuel and oxidizer. In interstellar... Problem 9.65AP Problem 9.66AP: An amateur skater of mass M is trapped in the middle of an ice rink and is unable to return to the... Problem 9.67AP: A 3.00-kg steel ball strikes a wall with a speed of 10.0 m/s an angle of = 60.0 with the surface.... Problem 9.68AP: (a) Figure P9.36 shows three points in the operation of the ballistic pendulum discussed in Example... Problem 9.69AP: Review. A 60.0-kg person running at an initial speed of 4.00 m/s jumps onto a 120-kg cart initially... Problem 9.70AP: A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected... Problem 9.71AP: A 1.25-kg wooden block rests on a table over a large hole as in Figure P9.39. A 5.00-g bullet with... Problem 9.72AP: A wooden block of mass M rests on a table over a large hole as in Figure P9.39. A bullet of mass m... Problem 9.73AP: Two particles with masses m and 3m are moving toward each other along the x axis with the same... Problem 9.74AP: Pursued by ferocious wolves, you are in a sleigh with no horses, gliding without friction across an... Problem 9.75AP: Two gliders are set in motion on a horizontal air track. A light spring of force constant k is... Problem 9.76AP: Why is the following situation impossible? An astronaut, together with the equipment he carries, has... Problem 9.77AP: Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are released from rest at a height of h = 5.00 m... Problem 9.78AP Problem 9.79AP: A 0.400-kg blue bead slides on a frictionless, curved wire, starting from rest at point in Figure... Problem 9.80AP: A small block of mass mt = 0.500 kg is released from la rest at the top of a frictionless,... Problem 9.81AP: Review. A bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at... Problem 9.82AP: Review. A bullet of mass m is fired into a block of mass M initially at rest at the edge of a... Problem 9.83AP: A 0.500-kg sphere moving with a velocity expressed as (2.00i3.00j+1.00k)m/s strikes a second,... Problem 9.84AP: A 75.0-kg firefighter slides down a pole while a constant friction force of 300 N retards her... Problem 9.85AP: George of the Jungle, will mass m, swings on a light vine hanging from a stationary tree branch. A... Problem 9.86AP: Review. A student performs a ballistic pendulum experiment using an apparatus similar to that... Problem 9.87AP: Review. A light spring of force constant 3.85 N/m is compressed by 8.00 cm and held between a... Problem 9.88AP Problem 9.89AP: A 5.00-g bullet moving with an initial speed of i = 400 m/s is fired into and passes through a... Problem 9.90AP: Review. There are (one can say) three coequal theories of motion for a single particle: Newtons... Problem 9.91AP: A 2.00-g particle moving at 8.00 m/s makes a perfectly elastic head-on collision with a resting... Problem 9.92CP Problem 9.93CP: Two particles with masses m and 3m are moving toward each other along the x axis with the same... Problem 9.94CP: Sand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s as shown in... Problem 9.95CP: On a horizontal air track, a glider of mass m carries a -shaped post. The post supports a small... Problem 9.96CP: Review. A chain of length L and total mass M is released from rest with its lower end just touching... Problem 9.36P
Related questions
the driver of a car on a horizontal road makes an emergency stop by applying the brakes so that all four wheels lock and skid along the road.The coefficient of kinetic friction between tires and road is 0.40.The separation between the front and rear axles is L = 4.2 m, and the center of mass of the car is located at distance d =1.8 m behind the front axle and distance h = 0.75 m above the road. The car weighs 11 kN. Find the magnitude of (a) the braking acceleration of the car, (b) the normal force on each rear wheel, (c) the normal force on each front wheel, (d) the braking force on each rear wheel, and (e) the braking force on each front wheel. (Hint: Although the car is not in translational equilibrium , it is in rotational equilibrium .)
Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video
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