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: Three equal masses lie at the corners of an equilateral triangle of side L. Find the center of mass. 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: Find the center of mass of a uniform slice of pizza with radius R and angular width . 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