1 Units, Physical Quantities, And Vectors 2 Motion Along A Straight Line 3 Motion In Two Or Three Dimensions 4 Newton’s Laws Of Motion 5 Applying Newton’s Laws 6 Work And Kinetic Energy 7 Potential Energy And Energy Conservation 8 Momentum, Impulse, And Collisions 9 Rotation Of Rigid Bodies 10 Dynamics Of Rotational Motion 11 Equilibrium And Elasticity 12 Fluid Mechanics 13 Gravitation 14 Periodic Motion 15 Mechanical Waves 16 Sound And Hearing 17 Temperature And Heat 18 Thermal Properties Of Matter 19 The First Law Of Thermodynamics 20 The Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss’s Law 23 Electric Potential 24 Capacitance And Dielectrics 25 Current, Resistance, And Electromotive Force 26 Direct-current Circuits 27 Magnetic Field And Magnetic Forces 28 Sources Of Magnetic Field 29 Electromagnetic Induction 30 Inductance 31 Alternating Current 32 Electromagnetic Waves 33 The Nature And Propagation Of Light 34 Geometric Optics 35 Interference 36 Diffraction 37 Relativity 38 Photons: Light Waves Behaving As Particles 39 Particles Behaving As Waves 40 Quantum Mechanics I: Wave Functions 41 Quantum Mechanics Ii: Atomic Structure 42 Molecules And Condensed Matter 43 Nuclear Physics 44 Particle Physics And Cosmology expand_more
3.1 Position And Velocity Vectors 3.2 The Acceleration Vector 3.3 Projectile Motion 3.4 Motion In A Circle 3.5 Relative Velocity Chapter Questions expand_more
Problem 3.1DQ: A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc.... Problem 3.2DQ: Redraw Fig. 3.11a if a is antiparallel to v1. Does the particle move in a straight line? What... Problem 3.3DQ: A projectile moves in a parabolic path without air resistance. Is there any point at which a is... Problem 3.4DQ: A book slides off a horizontal tabletop. As it leaves the tables edge, the book has a horizontal... Problem 3.5DQ: At the instant that you fire a bullet horizontally from a rifle, you drop a bullet from the height... Problem 3.6DQ: A package falls out of an airplane that is flying in a straight line at a constant altitude and... Problem 3.7DQ: Sketch the six graphs of the x- and y-components of position, velocity, and acceleration versus time... Problem 3.8DQ: If a jumping frog can give itself the same initial speed regardless of the direction in which it... Problem 3.9DQ: A projectile is fired upward at an angle above the horizontal with an initial speed v0. At its... Problem 3.10DQ: In uniform circular motion, what are the average velocity and average acceleration for one... Problem 3.11DQ: In uniform circular motion, how does the acceleration change when the speed is increased by a factor... Problem 3.12DQ: In uniform circular motion, the acceleration is perpendicular to the velocity at every instant. Is... Problem 3.13DQ: Raindrops hitting the side windows of a car in motion often leave diagonal streaks even if there is... Problem 3.14DQ: In a rainstorm with a strong wind, what determines the best position in which to hold an umbrella? Problem 3.15DQ: You are on the west bank of a river that is flowing north with a speed of 1.2 m/s. Your swimming... Problem 3.16DQ: A stone is thrown into the air at an angle above the horizontal and feels negligible air resistance.... Problem 3.1E: A squirrel has x- and y-coordinates (1.1 m, 3.4 m) at time t1 = 0 and coordinates (5.3 m, 0.5 m) at... Problem 3.2E: A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1= 0 to t2... Problem 3.3E: CALC A web page designer creates an animation in which a dot on a computer screen has position... Problem 3.4E: CALC The position of a squirrel running in a park is given by... Problem 3.5E: A jet plane is flying at a constant altitude. At time t1 = 0, it has components of velocity vx = 90... Problem 3.6E: A dog running in an open field has components of velocity vx = 2.6 m/s and vy = 1.8 m/s at = 10.0 s.... Problem 3.7E: CALC The coordinates of a bird flying in the xy-plane are given by x(t) = t and y(t) = 3.0 m t2,... Problem 3.8E: CALC A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a... Problem 3.9E: A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in... Problem 3.10E: A daring 510-N swimmer dives off a cliff with a running horizontal leap, as shown in Fig. E3.10.... Problem 3.11E: Crickets Chirpy and Milada jump from the top of a vertical cliff. Chirpy drops downward and reaches... Problem 3.12E: A rookie quarterback throws a football with an initial upward velocity component of 12.0 m/s and a... Problem 3.13E: Leaping the River I. During a storm, a car traveling on a level horizontal road comes upon a bridge... Problem 3.14E: BIO The Champion Jumper of the Insect World. The froghopper, Philaenus spumarius, holds the world... Problem 3.15E: Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table and lands a... Problem 3.16E: On level ground a shell is fired with an initial velocity or 40.0 m/s at 60.0 above the horizontal... Problem 3.17E: A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of... Problem 3.18E: A shot putter releases the shot some distance above the level ground with a velocity of 12.0 m/s,... Problem 3.19E: Win the Prize. In a carnival booth, you can win a stuffed giraffe if you toss a quarter into a small... Problem 3.20E: Firemen use a high-pressure hose to shoot a stream of water at a burning building. The water has a... Problem 3.21E: A man stands on the roof of a 15.0-m-tall building and throws a rock with a speed of 30.0 m/s at an... Problem 3.22E: A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 20.0... Problem 3.23E: The earth has a radius of 6380 km and turns around once on its axis in 24 h. (a) What is the radial... Problem 3.24E: BIO Dizziness. Our balance is maintained, at least in part, by the endolymph fluid in the inner ear.... Problem 3.25E: BIO Pilot Blackout in a Power Dive. A jet plane comes in for a downward dive as shown in Fig. E3.25.... Problem 3.26E: A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade... Problem 3.27E: A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (Fig.... Problem 3.28E: The radius of the earths orbit around the sun (assumed to be circular) is 1.50 108 km, and the... Problem 3.29E: BIO Hypergravity. At its Ames Research Center, NASA uses its large 20-G centrifuge to test the... Problem 3.30E: A railroad flatcar is traveling to the right at a speed of 13.0 m/s relative to an observer standing... Problem 3.31E: A moving sidewalk in an airport terminal moves at 1.0 m/s and is 35.0 m long. If a woman steps on at... Problem 3.32E: Two piers, A and B, are located on a river; B is 1500 m downstream from A (Fig. E3.32). Two friends... Problem 3.33E: A canoe has a velocity of 0.40 m/s southeast relative to the earth. The canoe is on a river that is... Problem 3.34E: The nose of an ultralight plane is pointed due south, and its airspeed indicator shows 35 m/s. The... Problem 3.35E: Crossing the River I. A river flows due south with a speed of 2.0 m/s. You steer a motorboat across... Problem 3.36E: Crossing the River II. (a) In which direction should the motorboat in Exercise 3.35 head to reach a... Problem 3.37E: BIO Bird Migration. Canada geese migrate essentially along a north-south direction for well over a... Problem 3.38E: An airplane pilot wishes to fly due west. A wind of 80.0 km/h (about 50mi/h) is blowing toward the... Problem 3.39P: CALC A rocket is Tired at an angle from the top of a tower of height h0 = 50.0 m. Because of the... Problem 3.40P: CALC A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward).... Problem 3.41P: CALC If r=bt2i+ct3jwhere b and c are positive constants, when does the velocity vector make an angle... Problem 3.42P: CALC The position of a dragonfly that is flying parallel to the ground is given as a function of... Problem 3.43P: CP A test rocket starting from rest at point A is launched by accelerating it along a 200.0-m... Problem 3.44P: CALC A bird flies in the .vv-plane with a velocity vector given byv=(t2)i+tj, with = 2.4 m/s, =... Problem 3.45P: A sly 1.5-kg monkey and a jungle veterinarian with a blow-gun loaded with a tranquilizer dart are 25... Problem 3.46P: BIO Spiraling Up. Birds of prey typically rise upward on thermals. The paths these birds take may be... Problem 3.47P: In fighting forest fires, airplanes work in support of ground crews by dropping water on the fires.... Problem 3.48P: A movie stuntwoman drops from a helicopter that is 30.0 m above the ground and moving with a... Problem 3.49P: An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0 above the horizontal. When the... Problem 3.50P: A cannon, located 60.0 m from the base of a vertical 25.0-m-tall cliff, shoots a 15-kg shell at 43.0... Problem 3.51P: CP CALC A toy rocket is launched with an initial velocity of 12.0 m/s in the horizontal direction... Problem 3.52P: An important piece of landing equipment must be thrown to a ship, which is moving at 45.0 cm/s.... Problem 3.53P: The longest Home Run. According to Guinness World Records, the longest home run ever measured was... Problem 3.54P: An Errand of Mercy. An airplane is dropping bales of hay to cattle stranded in a blizzard on the... Problem 3.55P: A baseball thrown at an angle of 60.0 above the horizontal strikes a building 18.0 m away at a point... Problem 3.56P: A water hose is used to fill a large cylindrical storage tank of diameter D and height 2D. The hose... Problem 3.57P: A grasshopper leaps into the air from the edge of a vertical cliff, as shown in Fig. P3.57. Find (a)... Problem 3.58P: Figure P3.58 3.58Kicking an Extra Point. In Canadian football, after a touchdown the team has the... Problem 3.59P: Look Out! A snow-ball rolls off a barn roof that slopes downward at an angle of 40 (Fig. P3.59). The... Problem 3.60P: A boy 12.0 m above the ground in a tree throws a ball for his dog, who is standing right below the... Problem 3.61P: Suppose that the boy in Problem 3.60 throws the ball up-ward at 60.0 above the horizontal, but all... Problem 3.62P: A rock is thrown with a velocity V0, at an angle of 0 from the horizontal, from the roof of a... Problem 3.63P: Leaping the River II. A physics professor did dare-devil stunts in his spare time. His last stunt... Problem 3.64P: A 2.7-kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0-m-high... Problem 3.65P: A 76.0-kg rock is rolling horizontally at the top of a vertical cliff that is 20 m above the surface... Problem 3.66P: Tossing Your Lunch. Henrietta is jogging on the side-walk at 3.05 m/s on the way to her physics... Problem 3.67P: A cart carrying a vertical missile launcher moves horizontally at a constant velocity of 30.0 m/s to... Problem 3.68P: A firefighting crew uses a water cannon that shoots water at 25.0 m/s at a fixed angle of 53.0 above... Problem 3.69P: In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that... Problem 3.70P: CP Bang! A student sits atop a platform a distance h above the ground. He throws a large firecracker... Problem 3.71P: An airplane pilot sets a compass course due west and maintains an airspeed of 220 km/h. After flying... Problem 3.72P: Raindrops. When a trains velocity is 12.0 m/s east-ward, raindrops that are falling vertically with... Problem 3.73P: In a World Cup soccer match, Juan is running due north toward the goal with a speed of 8.00 m/s... Problem 3.74P: An elevator is moving upward at a constant speed of 2.50 m/s. A bolt in the elevator ceiling 3.00 m... Problem 3.75P: Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due... Problem 3.76P: DATA A spring-gun projects a small rock from the ground with speed 0 try at an angle 0 above the... Problem 3.77P: DATA You have constructed a hair-spray-powered potato gun and want to find the muzzle speed 0 of the... Problem 3.78P: DATA You are a member of a geological team in Central Africa. Your team comes upon a wide river that... Problem 3.79CP: CALC A projectile thrown from a point P moves in such a way that its distance from P is always... Problem 3.80CP: Two students are canoeing on a river. While heading upstream, they accidentally drop an empty bottle... Problem 3.81CP: CP A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 km above... Problem 3.82PP: BIO BALLISTIC SEED DISPERSAL. Some plants disperse their seeds when the fruit splits and contracts,... Problem 3.83PP: BIO BALLISTIC SEED DISPERSAL. Some plants disperse their seeds when the fruit splits and contracts,... Problem 3.84PP: BIO BALLISTIC SEED DISPERSAL. Some plants disperse their seeds when the fruit splits and contracts,... Problem 3.85PP: A large number of seeds are observed, and their initial launch angles are recorded. The range of... format_list_bulleted