Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that exerted on the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false; Newton’s third law tells us that both objects are acted upon by forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? To answer this question, suppose that each vehicle is initially moving at 8.00 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 80.0 kg. Including the masses of the drivers, the total masses of the vehicles are 800 kg for the car and 4.00 × 10 3 kg for the truck. If the collision time is 0.120 s, what force does the seat belt exert on each driver?

BuyFind

College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027
BuyFind

College Physics

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781285737027

Solutions

Chapter 6, Problem 53AP
Textbook Problem

Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that exerted on the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false; Newton’s third law tells us that both objects are acted upon by forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? To answer this question, suppose that each vehicle is initially moving at 8.00 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 80.0 kg. Including the masses of the drivers, the total masses of the vehicles are 800 kg for the car and 4.00 × 103 kg for the truck. If the collision time is 0.120 s, what force does the seat belt exert on each driver?

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Chapter 6 Solutions

College Physics
Ch. 6 - A 57.0-g tennis ball is traveling straight at a...Ch. 6 - An astronaut, of total mass 85.0 kg including her...Ch. 6 - A small china bowl of mass 0.450 kg is sliding...Ch. 6 - A car of mass 750 kg traveling at a velocity of 27...Ch. 6 - A car of mass 1 560 kg traveling east and a truck...Ch. 6 - A rocket with total mass 3.00 105 kg is in...Ch. 6 - A spacecraft in circular orbit around Earth has...Ch. 6 - A batter bunts a pitched baseball, blocking the...Ch. 6 - If two objects collide and one is initially at...Ch. 6 - In perfectly inelastic collisions between two...Ch. 6 - Americans will never forget the terrorist attack...Ch. 6 - A ball of clay of mass m is thrown with a speed v...Ch. 6 - A skater is standing still on a frictionless ice...Ch. 6 - A more ordinary example of conservation of...Ch. 6 - (a) If two automobiles collide, they usually do...Ch. 6 - Your physical education teacher throws you a...Ch. 6 - A large bedsheet is held vertically by two...Ch. 6 - A sharpshooter fires a rifle while standing with...Ch. 6 - An air bag inflates when a collision occurs,...Ch. 6 - In golf, novice players are often advised to be...Ch. 6 - An open box slides across a frictionless, icy...Ch. 6 - Does a larger net force exerted on an object...Ch. 6 - Does a larger net force always produce a larger...Ch. 6 - If two particles have equal momenta, are their...Ch. 6 - Two particles of different mass start from rest....Ch. 6 - Calculate the magnitude of the linear momentum for...Ch. 6 - A high-speed photograph of a club hitting a golf...Ch. 6 - A pitcher claims he can throw a 0.145-kg baseball...Ch. 6 - A ball of mass m is thrown straight up into the...Ch. 6 - Drops of rain fall perpendicular to the roof of a...Ch. 6 - Show that the kinetic energy of a particle of mass...Ch. 6 - An object has a kinetic energy of 275 J and a...Ch. 6 - An estimated force vs. time curve for a baseball...Ch. 6 - A 0.280-kg volleyball approaches a player...Ch. 6 - A man claims he ran safely hold on to a 12.0-kg...Ch. 6 - A ball of mass 0.150 kg is dropped from rest from...Ch. 6 - A tennis player receives a shot with the ball...Ch. 6 - A car is stopped for a traffic signal. 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A girl...Ch. 6 - An astronaut in her space suit has a total mass of...Ch. 6 - A 75-kg fisherman in a 125-kg boat throws a...Ch. 6 - A 65.0-kg person throws a 0.045 0-kg snowball...Ch. 6 - An amateur skater of mass M (when fully dressed)...Ch. 6 - a man of mass m1 = 70.0 kg is skating at v1 = 8.00...Ch. 6 - An archer shoots an arrow toward a 3.00 102-g...Ch. 6 - Gayle runs at a speed of 4.00 m/s and dives on a...Ch. 6 - A 75.0-kg ice skater moving at 10.0 m/s crashes...Ch. 6 - A railroad car of mass 2.00 104 kg moving at 3.00...Ch. 6 - This is a symbolic version of Problem 35. A...Ch. 6 - Consider the ballistic pendulum device discussed...Ch. 6 - A car of mass m moving at a speed v1 collides and...Ch. 6 - In a Broadway performance, an 80.0-kg actor swings...Ch. 6 - Two shuffleboard disks of equal mass, one orange...Ch. 6 - A 0.030-kg bullet is fired vertically at 200 m/s...Ch. 6 - An bullet of mass m = 8.00 g is fired into a block...Ch. 6 - A 12.0-g bullet is fired horizontally into a 100-g...Ch. 6 - A 1200-kg car traveling initially with a speed of...Ch. 6 - A boy of mass mb and his girlfriend of mass mg,...Ch. 6 - A space probe, initially at rest, undergoes an...Ch. 6 - A 25.0-g object moving to the right at 20.0 cm/s...Ch. 6 - A billiard ball rolling across a table at 1.50 m/s...Ch. 6 - A 90.0-kg fullback running cast with a speed of...Ch. 6 - Identical twins, each with mass 55.0 kg, are on...Ch. 6 - A 2.00 1O3-kg car moving cast at 10.0 m/s...Ch. 6 - Two automobiles of equal mass approach an...Ch. 6 - A billiard ball moving at 5.00 m/s strikes a...Ch. 6 - In research in cardiology and exercise physiology,...Ch. 6 - Most of us know intuitively that in a head-on...Ch. 6 - Consider a frictionless track as shown in Figure...Ch. 6 - A 2.0-g particle moving at 8.0 m/s makes a...Ch. 6 - A bullet of mass m and speed v passes completely...Ch. 6 - Two objects of masses m1 = 0.56 kg m2 = 0.88 kg...Ch. 6 - A 0.400-kg blue bead slides on a frictionless,...Ch. 6 - A 730-N man stands in the middle of a frozen pond...Ch. 6 - An unstable nucleus of muss 1.7 1026 kg,...Ch. 6 - Two blocks of masses m1 and m2 approach each other...Ch. 6 - Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg...Ch. 6 - A block with mass m1 = 0.500 kg is released from...Ch. 6 - Two objects of masses m and 3m are moving toward...Ch. 6 - A small block of mass m1 = 0.500 kg is released...Ch. 6 - A cue ball traveling at 4.00 m/s makes a glancing,...Ch. 6 - A cannon is rigidly attached to a carriage, which...Ch. 6 - The force platform is a tool that is used to...Ch. 6 - A neutron in a reactor makes an elastic head-on...Ch. 6 - Two blocks collide on a frictionless surface....Ch. 6 - (a) A car traveling due east strikes a car...Ch. 6 - A 60-kg soccer player jumps vertically upwards and...Ch. 6 - A tennis ball of mass 57.0 g is held just above a...Ch. 6 - A 20.0-kg toboggan with 70.0-kg driver is sliding...Ch. 6 - Measuring the speed of a bullet. 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