University Physics Volume 1 18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: William Moebs, Samuel J. Ling, Jeff Sanny
1 Units And Measurement 2 Vectors 3 Motion Along A Straight Line 4 Motion In Two And Three Dimensions 5 Newton's Law Of Motion 6 Applications Of Newton's Laws 7 Work And Kinetic Energy 8 Potential Energy And Conservation Of Energy 9 Linear Momentum And Collisions 10 Fixed-axis Rotation 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Gravitation 14 Fluid Mechanics 15 Oscillations 16 Waves 17 Sound Chapter9: Linear Momentum And Collisions
Chapter Questions Section: Chapter Questions
Problem 9.1CYU: Check Your Understanding The U.S. Air Force uses “10gs” (an acceleration equal to 109.8m/s2 ) as the... Problem 9.2CYU: Check Your Understanding What if we had assumed the phone did bounce on impact? Would this have... Problem 9.3CYU: Check Your Understanding Suppose the second, smaller cart had been initially moving to the left.... Problem 9.4CYU: Check Your Understanding Would the ball’s change of momentum have been larger, smaller, or the same,... Problem 9.5CYU: Check Your Understanding Even if there were some friction on the ice, it is still possible to use... Problem 9.6CYU: Check Your Understanding The changes of momentum for Philae and for Comet 67/P were equal (in... Problem 9.7CYU: Check Your Understanding There is a second solution to the system of equations solved in this... Problem 9.8CYU: Check Your Understanding Suppose there had been no friction (the collision happened on ice); that... Problem 9.9CYU: Check Your Understanding Suppose the initial velocities were not at right angles to each other. How... Problem 9.10CYU: Check Your Understanding Notice that the mass of the air in the tank was neglected in the analysis... Problem 9.11CYU: Check Your Understanding Suppose we included the sun in the system. Approximately where would the... Problem 9.12CYU: Check Your Understanding Suppose you have a macroscopic salt crystal (that is, a crystal that is... Problem 9.13CYU: Check Your Understanding How would the firework display change in deep space, far away from any... Problem 9.14CYU: Check Your Understanding What is the physical difference ( or relationship) between dmdt and dmgdt... Problem 1CQ: An object that has a small mass and an object that has a large mass have the same momentum. Which... Problem 2CQ: An object that has a small mass and an object that has a large mass have the same kinetic energy.... Problem 3CQ: Is it possible for a small force to produce a larger impulse on a given object than a large force?... Problem 4CQ: Why is a 10-m fall onto concrete far more dangerous than a 10-m fall onto water? Problem 5CQ: What external force is responsible for changing the momentum of a car moving along a horizontal... Problem 6CQ: A piece of putty and a tennis ball with the same mass are thrown against a wall with the same... Problem 7CQ: Under what circumstances is momentum conserved? Problem 8CQ: Can momentum be conserved for a system if there are external forces acting on the system? If so,... Problem 9CQ: Explain in terms of momentum and Newton’s laws how a car’s air resistance is due in part to the fact... Problem 10CQ: Can objects in a system have momentum while the momentum of the system is zero? Explain your answer. Problem 11CQ: A sprinter accelerates out of the starting blocks. Can you consider him as a closed system? Explain. Problem 12CQ: A rocket in deep space (zero gravity) accelerates by firing hot gas out of its thrusters. Does the... Problem 13CQ: Two objects of equal mass are moving with equal and opposite velocities when they collide. Can all... Problem 14CQ: Describe a system for which momentum is conserved but mechanical energy is not. Now the reverse:... Problem 15CQ: Momentum for a system can be conserved in one direction while not being conserved in another. What... Problem 16CQ: Suppose a fireworks shell explodes, breaking into three large pieces for which air resistance is... Problem 17CQ: It is possible for the velocity of a rocket to be greater than the exhaust velocity of the gases it... Problem 18P: An elephant and a hunter are having a confrontation. a. Calculate the momentum of the 2000.0-kg... Problem 19P: A skater of mass 40 kg is carrying a box of mass 5 kg. The skater has a speed of 5 m/s with respect... Problem 20P: A car of mass 2000 kg is moving with a constant velocity of 10 m/s due east. What is the momentum of... Problem 21P: The mass of Earth is 5.971024kg and its orbital radius is an average of 1.501011m . Calculate the... Problem 22P: If a rainstorm drops 1 cm of rain over an area of 10km2 in the period of 1 hour, what is the... Problem 23P: What is the average momentum of an avalanche that moves a 40-cm-thick layer of snow over an area of... Problem 24P: What is the average momentum of a 70.0-kg sprinter who runs the 100-m dash in 9.65 s? Problem 25P: A 75.0-kg person is riding in a car moving at 20.0 m/s when the car runs into a bridge abutment (see... Problem 26P: One hazard of space travel is debris left by previous missions. There are several thousand objects... Problem 27P: A cruise ship with a mass of 1.00107kg strikes a pier at a speed of 0.750 m/s. It comes to rest... Problem 28P: Calculate the final speed of a 110-kg rugby player who is initially running at 8.00 m/s butt... Problem 29P: Water from a fire hose is directed horizontally against a wall at a rate of 50.0 kg/s and a speed of... Problem 30P: A 0.450-kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after... Problem 31P Problem 32P: The x-component of a force on a 46-g golf ball by a 7-iron versus time is plotted in the following... Problem 33P: A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s.... Problem 34P: A ball of mass 250 g is thrown with an initial velocity of 25 m/s at an angle of 30 with the... Problem 35P Problem 36P: Two identical pucks collide elastically on an air hockey table. Puck 1 was originally at rest; puck... Problem 37P: The figure below shows a bullet of mass 200 g traveling horizontally towards the east with speed 400... Problem 38P: A 20-kg child is coasting at 3.3 m/s over flat ground in a 4.0-kg wagon. The child drops a 1.0-kg... Problem 39P: A 4.5 kg puffer fish expands to 40 of its mass by taking in water. When the puffer fish is... Problem 40P: Explain why a cannon recoils when it fires a shell. Problem 41P: Two figure skaters are coasting in the same direction, with the leading skater moving at 5.5 m/s and... Problem 42P: A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain... Problem 43P: A 5.50-kg bowling ball moving at 9.00 m/s collides with a 0.850-kg bowling pin, which is scattered... Problem 44P: Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated... Problem 45P: A 90.0-kg ice hockey player hits a 0.150-kg puck, giving the puck a velocity of 45.0 m/s. If both... Problem 46P: A 100-g firecracker is launched vertically into the air and explodes into two pieces at the peak of... Problem 47P: In an elastic collision, a 400-kg bumper car collides directly from behind with a second, identical... Problem 48P: Repeat the preceding problem if the mass of the leading bumper car is 30.0 greater than that of the... Problem 49P: An alpha particle (4He) undergoes an elastic collision with a stationary uranium nucleus (235U) .... Problem 50P: You are standing on a very slippery icy surface and throw a 1-kg football horizontally at a speed of... Problem 51P: A 35-kg child rides a relatively massless sled down a hill and then coasts along the flat section at... Problem 52P: A boy sleds down a hill and onto a frictionless ice- covered lake at 10.0 m/s. In the middle of the... Problem 53P Problem 54P: A billiard ball, labeled 1, moving horizontally strikes another billiard ball, labeled 2, at rest.... Problem 55P: A projectile of mass 2.0 kg is fired in the air at an angle of 40.0 to the horizon at a speed of... Problem 56P: Two asteroids collide and stick together. The first asteroid has mass of 15103kg and is initially... Problem 57P Problem 58P: A proton traveling at 3.0106m/s scatters elastically from an initially stationary alpha particle and... Problem 59P Problem 60P: A family is skating. The father (75 kg) skates at 8.2 m/s and collides and sticks to the mother (50... Problem 61P Problem 62P: Two cars of the same mass approach an extremely icy four-way perpendicular intersection. Car A... Problem 63P: Three point masses are placed at the corners of a triangle as shown in the figure below. Find the... Problem 64P: Two particles of masses m1 and m2 separated by a horizontal distance D are released from the same... Problem 65P: Two particles of masses m1 and m2 separated by a horizontal distance D are let go from the same... Problem 66P: Two particles of masses m1 and m2 , move uniformly in different circles of radii R1 and R2 R2 about... Problem 67P: Two particles of masses m1 and m2 move uniformly in different circles of radii R1 and R1 about the... Problem 68P: Find the center of mass of a one-meter long rod, made of 50 cm of iron (density 8gcm3 ) and 50 cm of... Problem 69P: Find the center of mass of a rod of length L whose mass density changes from one end to the other... Problem 70P: Find the center of mass of a rectangular block of length a and width b that has a nonuniform density... Problem 71P: Find the center of mass of a rectangular material of length a and width b made up of a material of... Problem 72P: A cube of side a is cut out of another cube of side b as shown in the figure below. Find the... Problem 73P: Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and... Problem 74P: Find the center of mass of a thin wire of mass in and length L bent in a semicircular shape. Let the... Problem 75P: Find the center of mass of a uniform thin semicircular plate of radius R. Let the origin be at the... Problem 76P: Find the center of mass of a sphere of mass M and radius R and a cylinder of mass in, radius r, and... Problem 77P: (a) A 5.00-kg squid initially at rest ejects 0.250 kg of fluid with a velocity of 10.0 m/s. What is... Problem 78P: A rocket takes off from Earth and reaches a speed of 100 m/s in 10.0 s. If the exhaust speed is 1500... Problem 79P: Repeat the preceding problem but for a rocket that takes off from a space station, where there is no... Problem 80P: How much fuel would be needed for a 1000-kg rocket (this is its mass with no fuel) to take off from... Problem 81P: What exhaust speed is required to accelerate a rocket in deep space from 800 m/s to 1000 m/s in 5.0... Problem 82P: Unreasonable Results Squids have been reported to jump from the ocean and travel 30.0 m (measured... Problem 83AP: Two 70-kg canoers paddle in a single, 50-kg canoe. Their paddling moves the canoe at 1.2 m/s with... Problem 84AP: Which has a larger magnitude of momentum: a 3000-kg elephant moving at 40 km/h or a 60-kg cheetah... Problem 85AP: A driver applies the brakes and reduces the speed of her car by 20 , without changing the direction... Problem 86AP: You friend claims that momentum is mass multiplied by velocity, so things with more mass have more... Problem 87AP: Dropping a glass on a cement floor is more likely to break the glass than if it is dropped from the... Problem 88AP: Your 1500-kg sports car accelerates from 0 to 30 m/s in 10 s. What average force is exerted on it... Problem 89AP: A ball of mass m is dropped. What is the formula for the impulse exerted on the ball from the... Problem 90AP: Repeat the preceding problem, but including a drag force due to air of fdrag=bv . Problem 91AP: A 5.0-g egg falls from a 90-cm-high counter onto the floor and breaks. What impulse is exerted by... Problem 92AP: A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What... Problem 93AP: Two hockey players approach each other head on, each traveling at the same speed Vi . They collide... Problem 94AP: You are coasting on your 10-kg bicycle at 15 m/s and a 5.0-g bug splatters on your helmet. The bug... Problem 95AP: A load of gravel is dumped straight down into a 30000-kg freight car coasting at 2.2 m/s on a... Problem 96AP: Two carts on a straight track collide head on. The first cart was moving at 3.6 m/s in the positive... Problem 97AP: A 100-kg astronaut finds himself separated from his spaceship by 10 m and moving away from the... Problem 98AP: Derive the equations giving the final speeds for two objects that collide elastically, with the mass... Problem 99AP: Repeat the preceding problem for the case when the initial speed of the second object is nonzero. Problem 100AP: A child sleds down a hill and collides at 5.6 m/s into a stationary sled that is identical to his.... Problem 101AP: For the preceding problem, find the final speed of the case of each sled for the case of an elastic... Problem 102AP: A 90-kg football player jumps vertically into the air to catch a 0.50-kg football that is thrown... Problem 103AP: Three skydivers are plummeting earthward. They are initially holding onto each other, but then push... Problem 104AP: Two billiard balls are at rest and touching each other on a pool table. The cue ball travels at 3.8... Problem 105AP Problem 106AP Problem 107AP: Repeat the preceding problem if the balls collide when the center of ball 1 is at the origin and the... Problem 108AP: Repeat the preceding problem if the balls collide when the center of ball 1 is at the origin and the... Problem 109AP: Where is the center of mass of a semicircular wire of radius R that is centered on the origin,... Problem 110AP: Where is the center of mass of a slice of pizza that was cut into eight equal slices? Assume the... Problem 111AP: If 1 of the Earth’s mass were transferred to the Moon, how far would the center of mass of the... Problem 112AP: You friend wonders how a rocket continues to climb into the sky once it is sufficiently high above... Problem 113AP: To increase the acceleration of a rocket, should you throw rocks out of the front window of the... Problem 114CP: A 65-kg person jumps from the first floor window of a burning building and lands almost vertically... Problem 115CP: Two projectiles of mass m1 and m2 , are fired at the same speed but in opposite directions from two... Problem 116CP: Two identical objects (such as billiard balls) have a one-dimensional collision in which one is... Problem 117CP: A ramp of mass M is at rest on a horizontal surface. A small cart of mass m is placed at the top of... Problem 118CP: Find the center of mass of the structure given in the figure below. Assume a uniform thickness of 20... Problem 34P: A ball of mass 250 g is thrown with an initial velocity of 25 m/s at an angle of 30 with the...
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At one instant, a force acts on a 0.5 kg object that has a position vectorangular momentum with respect to the origin in unit-vector notation.
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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