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... format_list_bulleted