Problem 1Q: We claim that momentum is conserved. Yet most moving objects eventually slow down and stop. Explain. Problem 2Q: Two blocks of mass m1, and m2 rest on a frictionless table and are connected by a spring. The blocks... Problem 3Q: A light object and a heavy object have the same kinetic energy. Which has the greater momentum?... Problem 4Q: When a person jumps from a tree to the ground, what happens to the momentum of the person upon... Problem 5Q: Explain, on the basis of conservation of momentum, how a fish propels itself forward by swishing its... Problem 6Q: Two children float motionlessly in a space station. The 20-kg girl pushes on the 40-kg boy and he... Problem 7Q: A truck going 15 km/h has a head-on collision with a small car going 30 km/h. Which statement best... Problem 8Q: If a falling ball were to make a perfectly elastic collision with the floor, would it rebound to its... Problem 9Q Problem 10Q: It is said that in ancient times a rich man with a bag of gold coins was stranded on the surface of... Problem 11Q: The speed of a tennis ball on the return of a serve can be just as fast as the serve, even though... Problem 12Q: Is it possible for an object to receive a larger impulse from a small force than from a large force?... Problem 13Q: How could a force give zero impulse over a nonzero time interval even though the force is not zero... Problem 14Q: In a collision between two cars, which would you expect to be more damaging to the occupants: if the... Problem 15Q: A superball is dropped from a height h onto a hard steel plate (fixed to the Earth), from which it... Problem 16Q Problem 17Q: At a hydroelectric power plant, water is directed at high speed against turbine blades on an axle... Problem 18Q: A squash hall hits a wall at a 45 angle as shown in Fig. 936. What is the direction (a) of the... Problem 19Q: Why can a batter hit a pitched baseball farther than a ball he himself has tossed up in the air? Problem 20Q: Describe a collision in which all kinetic energy is lost. Problem 21Q: Inelastic and elastic collisions are similar in that (a) momentum and kinetic energy are conserved... Problem 22Q: If a 20-passenger plane is not full, sometimes passengers are told they must sit in certain seats... Problem 23Q Problem 24Q: Why is the CM of a 1-m length of pipe at its midpoint, whereas this is not true for your arm or leg? Problem 25Q: Show on a diagram how your CM shifts when you move from a lying position to a sitting position. Problem 26Q: Describe an analytic way of determining the CM of any thin, triangular-shaped, uniform plate. Problem 27Q: Place yourself facing the edge of an open door. Position your feet astride the door with your nose... Problem 28Q: If only an external force can change the momentum of the center of mass of an object, how can the... Problem 29Q: A rocket following a parabolic path through the air suddenly explodes into many pieces. What can you... Problem 30Q: How can a rocket change direction when it is far out in space and essentially in a vacuum? Problem 31Q: In observations of nuclear -decay, the electron and recoil nucleus often do not separate along the... Problem 32Q: Bob and Jim decide to play tug-of-war on a frictionless (icy) surface. Jim is considerably stronger... Problem 33Q: At a carnival game you try to knock over a heavy cylinder by throwing a small ball at it. You have a... Problem 1P: (I) Calculate the force exerted on a rocket when the propelling gases are being expelled at a rate... Problem 2P: (I) A constant friction force of 25 N acts on a 65-kg skier for 15 s. What is the skiers change in... Problem 3P: (II) The momentum of a particle, in SI units, is given by p=4.8t2i8.0j8.9tk. What is the force as a... Problem 4P: (II) The force on a panicle of mass m is given by F=26i12t2j where F is in N and t in s. What will... Problem 5P: (II) A 145-g baseball, moving along the x axis with speed 30.0 m/s, strikes a fence at a 45 angle... Problem 6P: (II) A 0.145-kg baseball pitched horizontally at 32.0 m/s strikes a bat and is popped straight up to... Problem 7P: (II) A rocket of total mass 3180 kg is traveling in outer space with a velocity of 115 m/s. To alter... Problem 8P: (III) Air in a 120-km/h wind strikes head-on the face of a building 45 m wide by 65 m high and is... Problem 9P: (I) A 7700-kg boxcar traveling 18 m/s strikes a second car. The two stick together and move off with... Problem 10P: (I) A 9150-kg railroad car travels alone on a level frictionless track with a constant speed of 15.0... Problem 11P: (I) An atomic nucleus at rest decays radioactively into an alpha particle and a smaller nucleus.... Problem 12P: (I) A 130-kg tackler moving at 2.5 m/s meets head-on (and tackles) an 82-kg halfback moving at 5.0... Problem 13P: (II) A child in a boat throws a 5.70-kg package out horizontally with a speed of 10.0 m/s. Fig. 937.... Problem 14P: (II) An atomic nucleus initially moving at 420 m/s emits an alpha particle in the direction of its... Problem 15P: (II) An object at rest is suddenly broken apart into two fragments by an explosion. One fragment... Problem 16P: (II) A 22-g bullet traveling 210 m/s penetrates a 2.0-kg block of wood and emerges going 150 m/s. If... Problem 17P: (II) A rocket of mass m traveling with speed v0 along the x axis suddenly shoots out fuel equal to... Problem 18P: (II) The decay of a neutron into a proton, an electron, and a neutrino is an example of a... Problem 19P: A mass mA = 2.0 kg, moving with velocity vA=(4.0i+5.0j2.0k)m/s, collides with mass mB = 3.0 kg,... Problem 20P: (II) A 925-kg two-stage rocket is traveling at a speed of 6.60 103 m/s away from Earth when a... Problem 21P: (III) A 224-kg projectile, fired with a speed of 116 m/s at a 60.0 angle, breaks into three pieces... Problem 22P: (I) A 0.145-kg baseball pitched at 35.0 m/s is hit on a horizontal line drive straight back at the... Problem 23P: (II) A golf ball of mass 0.045 kg is hit off the tee at a speed of 45 m/s. The golf club was in... Problem 24P: (II) A 12-kg hammer strikes a nail at a velocity of 8.5 m/s and comes to rest in a time interval of... Problem 25P: (II) A tennis ball of mass m = 0.060 kg and speed v = 25 m/s strikes a wall at a 45 angle and... Problem 26P: (II) A 130-kg astronaut (including space suit) acquires a speed of 2.50 m/s by pushing off with his... Problem 27P: (II) Rain is falling at the rate of 5.0 cm/h and accumulates in a pan. If the raindrops hit at 8.0... Problem 28P: (II) Suppose the force acting on a tennis hall (mass 0.060 kg) points in the +x direction and is... Problem 29P: (II) With what impulse does a 0.50-kg newspaper have to be thrown to give it a velocity of 3.0 m/s? Problem 30P: (II) The force on a bullet is given by the formula F=[740(2.3105s1)t]N over the time interval t = 0... Problem 31P: (II) (a) A molecule of mass m and speed v strikes a wall at right angles and rebounds back with the... Problem 32P: (III) (a) Calclale the impulse experienced when a 65-kg person lands on firm ground after jumping... Problem 33P: (III) A scale is adjusted so that when a large, shallow pan is placed on it, it reads zero. A water... Problem 34P: (II) A 0.060-kg tennis ball, moving with a speed of 4.50 m/s, has a head-on collision with a... Problem 35P: (II) A 0.450-kg hockey puck, moving east with a speed of 4.80 m/s, has a head-on collision with a... Problem 36P: (II) A 0.280-kg croquet ball makes an elastic head-on collision with a second ball initially at... Problem 37P: (II) A hall of mass 0.220 kg that is moving with a speed of 7.5 m/s collides head-on and elastically... Problem 38P: (II) A ball of mass m makes a head-on elastic collision with a second ball (at rest) and rebounds... Problem 39P: (II) Determine the fraction of kinetic energy lost by a neutron (m1=1.01u) when it collides head-on... Problem 40P: (II) Show that, in general, for any head-on one-dimensional elastic collision, the speeds after... Problem 41P: (III) A 3.0 kg block slides along a frictionless tabletop at 8.0 m/s toward a second block (at rest)... Problem 42P: (I) In a ballistic pendulum experiment, projectile 1 results in a maximum height h of the pendulum... Problem 43P: (II) (a) Derive a formula for the fraction of kinetic energy lost,K/K, in terms of m and M for the... Problem 44P: (II) A 28-g rifle bullet traveling 210 m/s buries itself in a 3.6-kg pendulum hanging on a... Problem 45P: (II) An internal explosion breaks an object, initially at rest, into two pieces, one of which has... Problem 46P: (II) A 920-kg spoils car collides into the rear end of a 2300-kg SUV slopped at a red light. The... Problem 47P: (II) You drop a 12-g ball from a height of 1.5 m and it only bounces back to a height of 0.75 m.... Problem 48P: (II) Car A hits car B (initially at rest and of equal mass) from behind while going 35 m/s.... Problem 49P: (II) A measure of inelasticity in a head-on collision of two objects is the coefficient of... Problem 50P: (II) A pendulum consists of a mass M hanging at the bottom end of a massless rod of length l, which... Problem 51P: (II) A build of mass m = 0.0010 kg embeds itself in a wooden block with mass M = 0.999 kg, which... Problem 52P: (II) A 144-g baseball moving 28.0 m/s strikes a stationary 5.25-kg brick resting on small rollers so... Problem 53P: (II) A 6.0-kg object moving in the +x direction at 5.5 m/s collides head-on with an 8.0-kg object... Problem 54P: (II) Billiard ball A of mass mA = 0.120 kg moving with speed vA = 2.80m/s strikes ball B, initially... Problem 55P: (II) A radioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino. The... Problem 56P: (II) Two billiard balls of equal mass move at right angles and meet at the origin of an xy... Problem 57P: (II) An atomic nucleus of mass m traveling with speed v collides elastically with a target particle... Problem 58P: (II) A neutron collides elastically with a helium nucleus (at rest initially) whose mass is four... Problem 59P: (III) A neon atom (m = 20.0 u) makes a perfectly elastic collision with another atom at rest. After... Problem 60P: (III) For an elastic collision between a projectile particle of mass mA and a target particle (at... Problem 61P: (III) Prove that in the elastic collision of two objects of identical mass, with one being a target... Problem 62P: (I) The CM of an empty 1250-kg car is 2.50 m behind the front of the car. How far from the front of... Problem 63P: (I) The distance between a carbon atom (m = 12 u) and an oxygen atom (m = 16 u) in the CO molecule... Problem 64P: (II) Three cubes, of side l0,2l0, and 3l0 are placed next to one another (in contact) with their... Problem 65P: (II) A square uniform raft, 18 m by 18 m, of mass 6200 kg, is used as a ferryboat. If three cars,... Problem 66P: (II) A uniform circular plate of radius 2R has a circular hole of radius R cut out of it. The center... Problem 67P: (II) A uniform thin wire is bent into a semicircle of radius r. Determine the coordinates of its... Problem 68P: (II) Find the center of mass of the ammonia molecule. The chemical formula is NH3. The hydrogens are... Problem 69P: (III) Determine the CM of a machine part that is a uniform cone of height h and radius R, Fig. 946.... Problem 70P: (III) Determine the CM of a uniform pyramid that has four triangular faces and a square base with... Problem 71P: (III) Determine the CM of a thin, uniform, semicircular plate. Problem 72P: (II) Mass MA = 35 kg and mass MB = 25 kg. They have velocities (in m/s) vA=12i16j and vB=20i+14j.... Problem 73P: (II) The masses of the Earth and Moon are 5.98 1024 kg and 7.35 1022 kg, respectively, and their... Problem 74P: (II) A mallet consists of a uniform cylindrical head of mass 2.80 kg and a diameter 0.0800 m mounted... Problem 75P: (II) A 55-kg woman and a 72-kg man stand 10.0 m apart on frictionless ice. (a) How far from the... Problem 76P: (II) Suppose that in Example 918 (Fig. 932), mII = 3mI. (a) Where then would mII land? (b) What if... Problem 77P: (II) Two people, one of mass 85 kg and the other of mass 55 kg, sit in a rowboat of mass 78 kg. With... Problem 78P: (III) A 280-kg flatcar 25 m long is moving with a speed of 6.0 m/s along horizontal frictionless... Problem 79P: (III) A huge balloon and its gondola, of mass M, are in the air and stationary with respect to the... Problem 80P: (II) A 3500-kg rocket is to be accelerated at 3.0 g at take-off from the Earth. If the gases can be... Problem 81P: (II) Suppose the conveyor bell of Example 919 is retarded by a friction force of 150 N. Determine... Problem 82P: (II) The jet engine of an airplane takes in 120 kg of air per second, which is burned with 4.2 kg of... Problem 83P: (II) A rocket traveling 1850 m/s away from the Earth at an altitude of 6400 km fires its rockets,... Problem 84P: (III) A sled filled with sand slides without friction down a 32 slope. Sand leaks out a hole in the... Problem 85GP: A novice pool player is faced with the corner pocket shot shown in Fig 948. Relative dimensions are... Problem 86GP: During a Chicago storm, winds can whip horizontally at speeds of 120 km/h. If the air strikes a... Problem 87GP: A ball is dropped from a height of 1.50 m and rebounds to a height of 1.20 m. Approximately how many... Problem 88GP: In order to convert a tough split in bowling, it is necessary to strike the pin a glancing blow as... Problem 89GP: A gun fires a bullet vertically into a 1.40-kg block of wood at rest on a thin horizontal sheet,... Problem 90GP: A hockey puck of mass 4 m has been rigged 10 explode, as part of a practical joke. Initially the... Problem 91GP: For the completely inelastic collision of two railroad cars that we considered in Example 93,... Problem 92GP: A 4800-kg open railroad car coasts along with a constant speed of 8.60 m/s on a level track. Snow... Problem 93GP: Consider the railroad car of Problem 92, which is slowly filling with snow. (a) Determine the speed... Problem 94GP: Two blocks of mass mA and mB, resting on a frictionless table, are connected by a stretched spring... Problem 95GP: You have been hired as an expert witness in a court case involving an automobile accident. The... Problem 96GP: A meteor whose mass was about 2.0 108 kg struck the Earth (mE = 6.0 1024 kg) with a speed of about... Problem 97GP: Two astronauts, one of mass 65 kg and the other 85 kg, are initially at rest in outer space. They... Problem 98GP: A 22-g bullet strikes and becomes embedded in a 1.35-kg block of wood placed on a horizontal surface... Problem 99GP: Two balls, of masses mA = 45 g and mB = 65 g, are suspended as shown in Fig. 952. The lighter ball... Problem 100GP: A block of mass m = 2.20 kg slides down a 30.0 incline which is 3.60 m high. At the bottom, it... Problem 101GP: In Problem 100 (Fig. 953), what is the upper limit on mass m if it is to rebound from M, slide up... Problem 102GP: After a completely inelastic collision between two objects of equal mass, each having initial speed,... Problem 103GP: A 0.25-kg skeet (clay target) is fired at an angle of 28 to the horizon with a speed of 25 m/s (Fig.... Problem 104GP: A massless spring with spring constant k is placed between a block of mass m and a block of mass 3... Problem 105GP: The gravitational slingshot effect. Figure 955 shows the planet Saturn moving in the negative x... Problem 106GP: Two bumper cars in an amusement park ride collide elastically as one approaches the other directly... Problem 107GP: In a physics lab, a cube slides down a frictionless incline as shown in Fig. 957 and elastically... Problem 108GP: The space shuttle launches an 850-kg satellite by ejecting it from the cargo bay. The ejection... Problem 109GP: You are the design engineer in charge of the crashworthiness of new automobile models. Cars are... Problem 110GP: Astronomers estimate that a 2.0-km-wide asteroid collides with the Earth once every million years.... Problem 111GP: An astronaut of mass 210 kg including his suit and jet pack wants to acquire a velocity of 2.0 m/s... Problem 112GP: An extrasolar planet can be detected by observing the wobble it produces on the star around which it... Problem 113GP: Suppose two asteroids strike head on. Asteroid A (mA = 7.5 1012 kg) has velocity 3.3 km/s before... Problem 114GP: (III) A particle of mass mA traveling with speed vA collides elastically head-on with a stationary... format_list_bulleted