1 Doing Physics 2 Motion In A Straight Line 3 Motion In Two And Three Dimensions 4 Force And Motion 5 Using Newton's Laws 6 Energy, Work, And Power 7 Conservation Of Energy 8 Gravity 9 Systems Of Particles 10 Rotational Motion 11 Rotational Vectors And Angular Momentum 12 Static Equilibrium 13 Oscillatory Motion 14 Wave Motion 15 Fluid Motion 16 Temperature And Heat 17 The Thermal Behavior Of Matter 18 Heat, Work, And The First Law Of Thermodynamics 19 The Second Law Of Thermodynamics 20 Electric Charge, Force, And Field 21 Gauss's Law 22 Electric Potential 23 Electrostatic Energy And Capacitors 24 Electric Current 25 Electric Circuits 26 Magnetism: Force And Field 27 Electromagnetic Induction 28 Alternating-current Circuits 29 Maxwell's Equations And Electromagnetic Waves 30 Reflection And Refraction 31 Images And Optical Instruments 32 Interference And Diffraction 33 Relativity 34 Particles And Waves 35 Quantum Mechanics 36 Atomic Physics 37 Molecules And Solids 38 Nuclear Physics 39 From Quarks To The Cosmos expand_more
9.1 Center Of Mass 9.2 Momentum 9.3 Kinetic Energy Of A System 9.4 Collisions 9.5 Totally Inelastic Collisions 9.6 Elastic Collisions Chapter Questions expand_more
Problem 1FTD: Roughly where is your center of mass when youre standing? Problem 2FTD Problem 3FTD Problem 4FTD: The momentum of a system of pool balls is the same before and after they are hit by the cue ball. Is... Problem 5FTD: An hourglass is inverted and placed on a scale. Compare the scale readings (a) before sand begins to... Problem 6FTD: Why are cars designed so that their front ends crumple during an accident? Problem 7FTD: Give three everyday examples of inelastic collisions. Problem 8FTD: Is it possible to have an inelastic collision in which all the kinetic energy of the colliding... Problem 9FTD Problem 10FTD: Why dont we need to consider external forces acting on a system as its constituent particles undergo... Problem 11FTD: How is it possible to have a collision between objects that dont ever touch? Give an example of such... Problem 12FTD: A pitched baseball moves no faster than the pitchers hand. But a batted ball can move much faster... Problem 13FTD: Two identical satellites are going in opposite directions in the same circular orbit when they... Problem 14E Problem 15E: Two particles of equal mass m are at the vertices of the base of an equilateral triangle. The... Problem 16E: Rework Example 9.1 with the origin at the center of the barbell, showing that the physical location... Problem 17E Problem 18E Problem 19E: A popcorn kernel at rest in a hot pan bursts into two pieces, with masses 91 mg and 64 mg. The more... Problem 20E: A 60-kg skater, at rest on frictionless ice, tosses a 12-kg snowball with velocity v=53.0i+14.0j... Problem 21E: A plutonium-239 nucleus at rest decays into a uranium-235 nucleus by emitting an alpha particle... Problem 22E: A toboggan of mass 8.6 kg is moving horizontally at 23 km/h. As it passes under a tree, 15 kg of... Problem 23E: A 150-g trick baseball is thrown at 60 km/h. It explodes in flight into two pieces, with a 38-g... Problem 24E: An object with kinetic energy K explodes into two pieces, each of which moves with twice the speed... Problem 25E: Two 140-kg satellites collide at an altitude where g = 8.7 m/s2, and the collision imparts an... Problem 26E: High-speed photos of a 220-g flea jumping vertically show that the jump lasts 1.2 ms and involves an... Problem 27E: Youre working in mission control for an interplanetary space probe. A trajectory correction calls... Problem 28E: In a railroad switchyard, a 56-ton freight car is sent at 7.0 mi/h toward a 31-ton car moving in the... Problem 29E: In a totally inelastic collision between two equal masses, with one initially at rest, show that... Problem 30E Problem 31E: Two identical trucks have mass 5500 kg when empty, and the maximum permissible load for each is 8000... Problem 32E: An alpha particle (4He) strikes a stationary gold nucleus (197Au) head-on. What fraction of the... Problem 33E: Playing in the street, a child accidentally tosses a ball at 18 m/s toward the front of a car moving... Problem 34E: A block of mass m undergoes a one-dimensional elastic collision with a block of mass M initially at... Problem 35E: A proton moving at 6.9 Mm/s collides elastically head-on with a second proton moving in the opposite... Problem 36E: A head-on, elastic collision between two particles with equal initial speed v leaves the more... Problem 37P: Find the center of mass of a pentagon with five equal sides of length a, but with one triangle... Problem 38P: Wildlife biologists fire 20-g rubber bullets to stop a rhinoceros charging at 0.81 m/s. The bullets... Problem 39P: Consider a system of three equal-mass particles moving in a plane; their positions are given by... Problem 40P: Youre with 19 other people on a boat at rest in frictionless water. The groups total mass is 1500... Problem 41P: A hemispherical bowl is at rest on a frictionless counter. A mouse drops onto the bowls rim from a... Problem 42P: Physicians perform needle biopsies to sample tissue from internal organs. A spring-loaded gun shoots... Problem 43P: Find the center of mass of the uniform, solid cone of height h, base radius R, and constant density ... Problem 44P: A firecracker, initially at rest, explodes into two fragments. The first, of mass 14 g, moves in the... Problem 45P: An 11,000-kg freight car rests against a spring bumper at the end of a railroad track. The spring... Problem 46P: On an icy road, a 1200-kg car moving at 50 km/h strikes a 4400-kg truck moving in the same direction... Problem 48P: A 1250-kg car is moving with velocity v1=36.2i+12.7j m/s. It skids on a frictionless icy patch and... Problem 49P: Masses m and 3m approach at the same speed v and undergo a head-on elastic collision. Show that mass... Problem 50P: A 238U nucleus is moving in the x-direction at 5.0 105 m/s when it decays into an alpha particle... Problem 51P: A cylindrical concrete silo is 4.0 m in diameter and 30 m high. It consists of a 6000-kg concrete... Problem 52P: A 42-g firecracker is at rest at the origin when it explodes into three pieces. The first, with mass... Problem 53P: A 60-kg astronaut floating in space simultaneously tosses away a 14-kg oxygen tank and a 5.8-kg... Problem 54P: Assuming equal-mass pieces in Exercise 24, find the angles of the two velocities relative to the... Problem 55P: A 62-kg sprinter stands on the left end of a 190-kg cart moving leftward at 7.1 m/s. She runs to the... Problem 56P: Youre a production engineer in a cookie factory, where mounds of dough drop vertically onto a... Problem 57P: Mass m, moving at speed 2v, approaches mass 4m, moving at speed v. The two collide elastically... Problem 58P: Verify explicitly that kinetic energy is conserved in the collision of the preceding problem. 57.... Problem 59P: While standing on frictionless ice, you (mass 65.0 kg) toss a 4.50-kg rock with initial speed 12.0... Problem 60P: Youre an accident investigator at a scene where a drunk driver in a 1600-kg car has plowed into a... Problem 61P: A fireworks rocket is launched vertically upward at 40 m/s. At the peak of its trajectory, it... Problem 62P: Two objects moving in opposite directions with the same speed v undergo a totally inelastic... Problem 63P: Explosive bolts separate a 950-kg communications satellite from its 640-kg booster rocket, imparting... Problem 64P: Youre working in quality control for a model rocket manufacturer. testing a class-D rocket whose... Problem 65P: Youre investigating an accident in which a 1040-kg Toyota Yaris and an 2140-kg Buick Enclave... Problem 66P: A 400-mg popcorn kernel is skittering across a nonstick frying pan at 8.2 cm/s when it pops and... Problem 67P: Two identical objects with the same initial speed collide and stick together. If the composite... Problem 68P: A proton (mass 1 u) moving at 6.90 Mm/s collides elastically head-on with a second particle moving... Problem 69P: Two objects, one initially at rest, undergo a one-dimensional elastic collision. If half the kinetic... Problem 70P: Blocks B and C have masses 2m and m, respectively, and are at rest on a frictionless surface. Block... Problem 71P: Derive Equation 9.15b. Problem 72P: An object collides elastically with an equal-mass object initially at rest. If the collision isnt... Problem 73P: A proton (mass 1 u) collides elastically with a stationary deuteron (mass 2 u). If the proton is... Problem 74P: Two identical billiard balls are initially at rest when theyre struck symmetrically by a third... Problem 75P: Find an expression for the impulse imparted by a force F(t) = F0 sin(at) during the time t = 0 to t... Problem 76P: A 32-u oxygen molecule (O2) moving in the +x-direction at 580 m/s collides with an oxygen atom (mass... Problem 77P: A 114-g Frisbee is lodged on a tree branch 7.65 m above the ground. To free it, you lob a 240-g dirt... Problem 78P: You set a small ball of mass m atop a large ball of mass M m and drop the pair from height h.... Problem 79P: A car moving at speed v undergoes a one-dimensional collision with an identical car initially at... Problem 80P: A 200-g block is released from rest at a height of 25 cm on a frictionless 30 incline. It slides... Problem 81P: A 14-kg projectile is launched at 380 m/s at a 55 angle to the horizontal. At the peak of its... Problem 82P: During a crash test, a car moving at 50 km/h collides with a rigid barrier and comes to a complete... Problem 83P: Use numerical or graphical techniques to estimate the peak force of the collision in the preceding... Problem 84P: A block of mass m1 undergoes a one-dimensional elastic collision with an initially stationary block... Problem 85P: Two objects of unequal mass, one initially at rest, undergo a one-dimensional elastic collision. For... Problem 86P Problem 87P Problem 88P: In a ballistic pendulum demonstration gone bad, a 0.52-g pellet, fired horizontally with kinetic... Problem 89P: An 80-kg astronaut has become detached from the safety line connecting her to the International... Problem 90P Problem 91P: A thin rod extends from x = 0 to x = L. It carries a nonuniform mass per unit length = Mxa/L1+a,... Problem 92P: Model rocket motors are specified by giving the impulse they provide, in N s, over the entire time... Problem 93P: A block of mass M is moving at speed r0 on a frictionless surface that ends in a rigid wall, heading... Problem 94PP: Youre interested in the intersection of physics and sports, and you recognize that many sporting... Problem 95PP: Youre interested in the intersection of physics and sports, and you recognize that many sporting... Problem 96PP: Youre interested in the intersection of physics and sports, and you recognize that many sporting... Problem 97PP: Youre interested in the intersection of physics and sports, and you recognize that many sporting... format_list_bulleted