Problem 8.1DQ: In splitting logs with a hammer and wedge, is a heavy hammer more effective than a lighter hammer?... Problem 8.2DQ: Suppose you catch a baseball and then someone invites you to catch a bowling ball with either the... Problem 8.3DQ: When rain falls from the sky, what happens to its momentum as it hits the ground? Is your answer... Problem 8.4DQ: A car has the same kinetic energy when it is traveling south at 30 m/s as when it is traveling... Problem 8.5DQ: A truck is accelerating as it speeds down the highway. One inertial frame of reference is attached... Problem 8.6DQ: (a) If the momentum of a single point object is equal to zero, must the objects kinetic energy also... Problem 8.7DQ: A woman holding a large rock stands on a frictionless, horizontal sheet of ice. She throws the rock... Problem 8.8DQ: In Example 8.7 (Section 8.3), where the two gliders of Fig. 8.18 stick together after the collision,... Problem 8.9DQ: In a completely inelastic collision between two objects, where the objects stick together after the... Problem 8.10DQ: Since for a particle the kinetic energy is given by K=12m2 and the momentum byP=m, it is easy to... Problem 8.11DQ: In each of Examples 8.10, 8.11, and 8.12 (Section 8.4), verify that the relative velocity vector of... Problem 8.12DQ: A glass dropped on the floor is more likely to break if the floor is concrete than if it is wood.... Problem 8.13DQ: In Fig. 8.23b, the kinetic energy of the Ping-Pong ball is larger after its interaction with the... Problem 8.14DQ: A machine gun is fired at a steel plate. Is the average force on the plate from the bullet impact... Problem 8.15DQ: A net force of 4 N acts on an object initially at rest for 0.25 s and gives it a final speed of 5... Problem 8.16DQ: A net force with x-component Fx acts on an object from time t1 to time t2. The x-component of the... Problem 8.17DQ: A tennis player hits a tennis ball with a racket. Consider the system made up of the ball and the... Problem 8.18DQ Problem 8.19DQ: An egg is released from rest from the roof of a building and falls to the ground. As the egg falls,... Problem 8.20DQ: A woman stands in the middle of a perfectly smooth, frictionless, frozen lake. She can set herself... Problem 8.21DQ: At the highest point in its parabolic trajectory, a shell explodes into two fragments. Is it... Problem 8.22DQ: When an object breaks into two pieces (explosion, radio-active decay, recoil, etc.), the lighter... Problem 8.23DQ: An apple falls from a tree and feels no air resistance. As it is falling, which of these statements... Problem 8.24DQ: Two pieces of clay collide and stick together. During the collision, which of these statements are... Problem 8.25DQ: Two objects of mass M and 5M are at rest on a horizontal, frictionless table with a compressed... Problem 8.26DQ: A very heavy SUV collides head-on with a very light compact car. Which of these statements about the... Problem 8.1E: (a) What is the magnitude of the momentum of a 10,000-kg truck whose speed is 12.0 m/s? (b) What... Problem 8.2E: In a certain track and field event, the shotput has a mass of 7.30 kg and is released with a speed... Problem 8.3E: Objects A, B, and C are moving as shown in Fig. E8.3. Find the x- and y-components of the net... Problem 8.4E: Two vehicles are approaching an intersection. One is a 2500-kg pickup traveling at 14.0 m/s from... Problem 8.5E: One 110-kg football lineman is running to the right at 2.75 m/s while another 125-kg lineman is... Problem 8.6E: BIO Biomechanics. The mass of a regulation tennis ball is 57 g (although it can vary slightly), and... Problem 8.7E: Force of a Golf Swing. A 0.0450-kg golf ball initially at rest is given a speed of 25.0 m/s when a... Problem 8.8E: Force of a Baseball Swing. A baseball has mass 0.145 kg. (a) If the velocity of a pitched ball has a... Problem 8.9E: A 0.160-kg hockey puck is moving on an icy, frictionless, horizontal surface. At t = 0. The puck is... Problem 8.10E: A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the... Problem 8.11E: CALC At time t = 0 a 2150-kg rocket in outer space fires an engine that exerts an increasing force... Problem 8.12E: BIO Bone Fracture. Experimental tests have shown that bone will rupture if it is subjected to a... Problem 8.13E: A 2.00-kg stone is sliding to the right on a frictionless, horizontal surface at 5.00 m/s when it is... Problem 8.14E: CALC Starting at t = 0, a horizontal net force F = (0.280 N/s)t + (0.450 N/s2)t2 is applied to a box... Problem 8.15E: To warm up for a match, a tennis player hits the 57.0-g ball vertically with her racket. If the ball... Problem 8.16E: A 68.5-kg astronaut is doing a repair in space on the orbiting space station. She throws a 2.25-kg... Problem 8.17E: The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A .30-calibcr... Problem 8.18E: Two figure skaters, one weighing 625 N and the other 725 N. push off against each other on... Problem 8.19E: BIO Animal Propulsion. Squids and octopuses propel themselves by expelling water. They do this by... Problem 8.20E: You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is... Problem 8.21E: On a frictionless. horizontal air table, puck A (with mass 0.250 kg) is moving toward puck B (with... Problem 8.22E: When cars are equipped with flexible bumpers, they will bounce off each other during low-speed... Problem 8.23E: Two identical 0.900-kg masses are pressed against opposite ends of a light spring of force constant... Problem 8.24E: Block A in Fig. E8.24 has mass 1.00 kg, and block B has mass 3.00 kg. The blocks are forced... Problem 8.25E: A hunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20-g bullets at 965... Problem 8.26E: An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass mA, travels off... Problem 8.27E: Two ice skaters. Daniel (mass 65.0 kg) and Rebecca (mass 45.0 kg), are practicing. Daniel stops to... Problem 8.28E: You are standing on a large sheet of frictionless ice and holding a large rock. In order to get off... Problem 8.29E: You (mass 55 kg) are riding a frictionless skateboard (mass 5.0 kg) in a straight line at a speed of... Problem 8.30E: An astronaut in space cannot use a conventional means, such as a scale or balance, to determine the... Problem 8.31E: Asteroid Collision. Two asteroids of equal mass in the asteroid belt between Mars and Jupiter... Problem 8.32E: Two skaters collide and grab on to each other on friction-less ice. One of them, of mass 70.0 kg, is... Problem 8.33E: A 15.0-kg fish swimming at 1.10 m/s suddenly gobbles up a 4.50-kg fish that is initially stationary.... Problem 8.34E: Two fun-loving otters are sliding toward each other on a muddy (and hence friction less) horizontal... Problem 8.35E: Deep Impact Mission. In July 2005, NASAs Deep Impact mission crashed a 372-kg probe directly onto... Problem 8.36E: A 1050-kg sports car is moving westbound at 15.0 m/s on a level road when it collides with a 6320-kg... Problem 8.37E: On a very muddy football field, a 110-kg linebacker tackles an 85-kg halfback. Immediately before... Problem 8.38E: Accident Analysis. Two cars collide at an intersection. Car A, with a mass of 2000 kg, is going from... Problem 8.39E: Jack (mass 55.0 kg) is sliding due east with speed 8.00 m/s on the surface of a frozen pond. He... Problem 8.40E: BIO Bird Defense. To protect their young in the nest, peregrine falcons will fly into birds of prey... Problem 8.41E: At the intersection of Texas Avenue and University Drive, a yellow subcompact car with mass 950 kg... Problem 8.42E: A 5.00-g bullet is fired horizontally into a 1.20-kg wooden block resting on a horizontal surface.... Problem 8.43E: A Ballistic Pendulum. A 12.0-g rifle bullet is fired with a speed of 380 m/s into a ballistic... Problem 8.44E: Combining Conservation Laws. A 15.0-kg block is attached to a very light horizontal spring of force... Problem 8.45E: CP A 0.800-kg ornament is hanging by a 1.50-m wire when the ornament is suddenly hit by a 0.200-kg... Problem 8.46E: A 0.150-kg glider is moving to the right with a speed of 0.80 m/s on a frictionless, horizontal air... Problem 8.47E: Blocks A (mass 2.00 kg) and B (mass 6.00 kg) move on a frictionless, horizontal surface. Initially,... Problem 8.48E: A 10.0-g marble slides to the left at a speed of 0.400 m/s on the frictionless, horizontal surface... Problem 8.49E: Moderators. Canadian nuclear reactors use heavy water moderators in which elastic collisions occur... Problem 8.50E: You are at the controls of a particle accelerator, sending a beam of 1.50 107 m/s protons (mass m)... Problem 8.51E: Three odd-shaped blocks of chocolate have the following masses and center-of-mass coordinates: (1)... Problem 8.52E Problem 8.53E: Pluto and Charon. Plutos diameter is approximately 2370 km, and the diameter of its satellite Charon... Problem 8.54E: A 1200-kg SUV is moving along a straight highway at 12.0 m/s. Another car, with mass 1800 kg and... Problem 8.55E Problem 8.56E: At one instant, the center of mass of a system of two particles is located on the x-axis at x = 2.0... Problem 8.57E: In Example 8.14 (Section 8.5), Ramon pulls on the rope to give himself a speed of 1.10 m/s. What is... Problem 8.58E: CALC A system consists of two particles. At t = 0 one particle is at the origin; the other, which... Problem 8.59E: CALC A radio-controlled model airplane has a momentum given by [(0.75 kgm/s3)t2 + (3.0 kgm/s)] +... Problem 8.60E Problem 8.61E: A 70-kg astronaut floating in space in a 110-kg MMU (manned maneuvering unit) experiences an... Problem 8.62E: A small rocket burns 0.0500 kg of fuel per second, ejecting it as a gas with a velocity relative to... Problem 8.63E: Obviously, we can make rockets to go very fast, but what is a reasonable top speed? Assume that a... Problem 8.64P: A steel ball with mass 40.0 g is dropped from a height of 2.00 m onto a horizontal steel slab. The... Problem 8.65P: Just before it is struck by a racket, a tennis ball weighing 0.560 N has a velocity of (20.0m/s) ... Problem 8.66P: Three identical pucks on a horizontal air table have repelling magnets. They are held together and... Problem 8.67P: Blocks A (mass 2.00 kg) and B (mass 10.00 kg, to the right of A) move on a frictionless, horizontal... Problem 8.68P: A railroad handcar is moving along straight, frictionless tracks with negligible air resistance. In... Problem 8.69P: Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg) are approaching the origin as... Problem 8.70P: You and your friends are doing physics experiments on a frozen pond that serves as a frictionless,... Problem 8.71P: CP An 8.00-kg block of wood sits at the edge of a frictionless table, 2.20 m above the floor. A... Problem 8.72P: CP A small wooden block with mass 0.800 kg is suspended from the lower end of a light cord that is... Problem 8.73P: Combining Conservation Laws. A 5.00-kg chunk of ice is sliding at 12.0 m/s on the floor of an... Problem 8.74P: CP Block B (mass 4.00 kg) is at rest at the edge of a smooth platform, 2.60 m above the floor. Block... Problem 8.75P: Two blocks have a spring compressed between them, as in Exercise 8.24. The spring has force constant... Problem 8.76P: Automobile Accident Analysis. You are called as an expert witness to analyze the following auto... Problem 8.77P: Accident Analysis. A 1500-kg sedan goes through a wide intersection traveling from north to south... Problem 8.78P: CP A 0.150-kg frame, when suspended from a coil spring, stretches the spring 0.0400 m. A 0.200-kg... Problem 8.79P: A rifle bullet with mass 8.00 g strikes and embeds itself in a block with mass 0.992 kg that rests... Problem 8.80P: A Ricocheting Bullet. A 0.100-kg stone rests on a frictionless, horizontal surface. A bullet of mass... Problem 8.81P Problem 8.82P Problem 8.83P: A ball with mass M, moving horizontally at 4.00 m/s, collides elastically with a block with mass 3M... Problem 8.84P: PA 20.00-kg lead sphere is hanging from a hook by thin wire 2.80 m long and is free to swing in a... Problem 8.85P: A 4.00-g bullet, traveling horizontally with a velocity of magnitude 400 m/s, is fired into a wooden... Problem 8.86P: A 5.00-g bullet is shot through a 1.00-kg wood block suspended on a string 2.00 m long. The center... Problem 8.87P: CP In a shipping company distribution center, an open cart of mass 50.0 kg is rolling to the left at... Problem 8.88P: Neutron Decay. A neutron at rest decays (breaks up) to a proton and an electron. Energy is released... Problem 8.89P: Antineutrino. In beta decay, a nucleus emits an electron. A 2l0Bi (bismuth) nucleus at rest... Problem 8.90P: Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. Jonathans weight is... Problem 8.91P: Friends Burt and Ernie stand at opposite ends of a uniform log that is floating in a lake. The log... Problem 8.92P: A 45.0-kg woman stands up in a 60.0-kg canoe 5.00 m long. She walks from a point 1.00 m from one end... Problem 8.93P: You are standing on a concrete slab that in turn is resting on a frozen lake. Assume there is no... Problem 8.94P: CP In a fireworks display, a rocket is launched from the ground with a speed of 18.0 m/s and a... Problem 8.95P: A 7.0-kg shell at rest explodes into two fragments, one with a mass of 2.0 kg and the other with a... Problem 8.96P: CP A 20.0-kg projectile is fired at an angle of 60.0 above the horizontal with a speed of 80.0 m/s.... Problem 8.97P: CP A fireworks rocket is fired vertically upward. At its maximum height of 80.0 m, it explodes and... Problem 8.98P: A 12.0-kg shell is launched at an angle of 55.0 above the horizontal with an initial speed of 150... Problem 8.99P: CP An outlaw cuts loose a wagon with two boxes of gold, of total mass 300 kg, when the wagon is at... Problem 8.100P: DATA A 2004 Prius with a 150-lb driver and no passengers weighs 3071 lb. The car is initially at... Problem 8.101P: DATA In your job in a police lab, you must design an apparatus to measure the muzzle velocities of... Problem 8.102P: DATA For the Texas Department of Public Safety, you are investigating an accident that occurred... Problem 8.103CP: CALC A Variable-Mass Raindrop. In a rocket-propulsion problem the mass is variable. Another such... Problem 8.104CP Problem 8.105CP: CALC Use the methods of Challenge Problem 8.104 to calculate the x- and y-coordinates of the center... Problem 8.106PP: BIO MOMENTUM AND THE ARCHERFISH. Archerfish are tropical fish that hunt by shooting drops of water... Problem 8.107PP: BIO MOMENTUM AND THE ARCHERFISH. Archerfish are tropical fish that hunt by shooting drops of water... Problem 8.108PP: BIO MOMENTUM AND THE ARCHERFISH. Archerfish are tropical fish that hunt by shooting drops of water... Problem 8.109PP: BIO MOMENTUM AND THE ARCHERFISH. Archerfish are tropical fish that hunt by shooting drops of water... format_list_bulleted