College Physics for AP Courses
1st Edition
ISBN: 9781630181871
Author: OpenStax, Ima Lyubkinskaya, Gregg Wolfe Douglas, Ingram, Liza Puiji, Sudhi Oberoi Nathan, Czuba
Publisher: OpenStax College.
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Textbook Question
Chapter 8, Problem 19PE
Starting with the definitions of momentum and kinetic energy, derive an equation for the kinetic energy of a particle expressed as a function of its momentum.
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It is not possible to see very small objects, such as viruses, using an ordinary light microscope. An electron microscope can view such objects using an electron beam instead of a light beam. Electron microscopy has proved invaluable for investigations of viruses, cell membranes and subcellular structures, bacterial surfaces, visual receptors, chloroplasts, and the contractile properties of muscles. The "lenses" of an
electron microscope consist of electric and magnetic fields that control the electron beam.
As an example of the manipulation of an electron beam, consider an electron traveling away from the origin along the x axis in the xy plane with initial velocity ₁ = vi. As it passes through the region x = 0 to x=d, the electron experiences acceleration a = ai +a, where a and a, are constants. For the case v, = 1.67 x 107 m/s, ax = 8.51 x 1014 m/s², and a = 1.50 x 10¹5 m/s², determine the following at
x = d = 0.0100 m.
(a) the position of the electron
y, = 2.60e1014
m
(b) the…
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need help with the first part
Chapter 8 Solutions
College Physics for AP Courses
Ch. 8 - An object that has a small mass and an object that...Ch. 8 - An object that has a small mass and an object that...Ch. 8 - Professional Application Football coaches advise...Ch. 8 - How can a small force impart the same momentum to...Ch. 8 - Professional Application Explain in terms of...Ch. 8 - While jumping on a trampoline, sometimes you land...Ch. 8 - Professional Application Tennis racquets have...Ch. 8 - Professional Application If you dive into water,...Ch. 8 - Under what circumstances is momentum conserved?Ch. 8 - Can momentum be conserved for a system if there...
Ch. 8 - Momentum for a system can be conserved in one...Ch. 8 - Professional Application Explain in terms of...Ch. 8 - Can objects in a system have momentum while the...Ch. 8 - Must the total energy of a system be conserved...Ch. 8 - What is an elastic collision?Ch. 8 - What is an inelastic collision? What is a...Ch. 8 - Mixed-pair ice skaters performing in a show are...Ch. 8 - A Small pickup truck that has a caliper shell...Ch. 8 - Figure 8.16 shows a cube at rest and a small...Ch. 8 - Professional Application Suppose a fireworks shell...Ch. 8 - Professional Application During a visit to the...Ch. 8 - Professional Application It is possible for the...Ch. 8 - (a) Calculate the momentum of a 2000-kg elephant...Ch. 8 - (a) What is the mass of a large ship that has a...Ch. 8 - (a) At what speed would a 2.00104 -kg airplane...Ch. 8 - (a) What is the momentum of a garbage truck that...Ch. 8 - A runaway train car that has a mass of 15,000 kg...Ch. 8 - The mass of Earth is 5.9721024 kg and its orbital...Ch. 8 - A bullet is accelerated down the barrel of a gun...Ch. 8 - Professional Application A car moving at 10 m/s...Ch. 8 - A person slaps her leg with her hand, bringing her...Ch. 8 - Professional Application A professional boxer hits...Ch. 8 - Professional Application Suppose a child drives a...Ch. 8 - Professional Application One hazard of space...Ch. 8 - Professional Application A 75.0-kg person is...Ch. 8 - Professional Application Military rifles have a...Ch. 8 - A cruise ship with a mass of 1.00107 kg strikes a...Ch. 8 - Calculate the final speed of a 110-kg rugby player...Ch. 8 - Water from a fire hose is directed horizontally...Ch. 8 - A 0.450-kg hammer is moving horizontally at 7.00...Ch. 8 - Starting with the definitions of momentum and...Ch. 8 - A ball with an initial velocity of 10 m/s moves at...Ch. 8 - When serving a tennis ball, a player hits the ball...Ch. 8 - A punter drops a ball from rest vertically 1 meter...Ch. 8 - Professional Application Train cars are coupled...Ch. 8 - Suppose a clay model of a koala bear has a mass of...Ch. 8 - Professional Application Consider the following...Ch. 8 - What is the velocity of a 900-kg car initially...Ch. 8 - A 1.80-kg falcon catches a 0.650-kg dove from...Ch. 8 - Two identical objects (such as billiard balls)...Ch. 8 - Professional Application Two manned satellites...Ch. 8 - A 70.0-kg ice hockey goalie, originally at rest,...Ch. 8 - A 0.240-kg billiard ball that is moving at 3.00...Ch. 8 - During an ice show, a 60.0-kg skater leaps into...Ch. 8 - Professional Application Using mass and speed data...Ch. 8 - A battleship that is 6.00*10' kg and is originally...Ch. 8 - Professional Application Two manned satellites...Ch. 8 - Professional Application A 30,000-kg freight car...Ch. 8 - Professional Application Space probes may be...Ch. 8 - A 0.0250-kg bullet is accelerated from rest to a...Ch. 8 - Professional Application One of the waste products...Ch. 8 - Professional Application The Moon's craters are...Ch. 8 - Professional Application Two football players...Ch. 8 - What is the speed of a garbage truck that is...Ch. 8 - During a circus act, an elderly performer thrills...Ch. 8 - (a) During an ice skating performance, an...Ch. 8 - Two identical pucks collide on an air hockey...Ch. 8 - Confirm that the results of the example Example...Ch. 8 - A 3000-kg cannon is mounted so that it can recoil...Ch. 8 - Professional Application A 5.50-kg bowling ball...Ch. 8 - Professional Application Ernest Rutherford (the...Ch. 8 - Professional Application Two cars collide at an...Ch. 8 - Starting with equations m1v1=m1v1cos1+m2v2cos2 and...Ch. 8 - Integrated Concepts A 90.0-kg ice hockey player...Ch. 8 - Professional Application Antiballistic missiles...Ch. 8 - Professional Application What is the acceleration...Ch. 8 - Professional Application Calculate the increase in...Ch. 8 - Professional Application Ion-propulsion rockets...Ch. 8 - Derive the equation for the vertical acceleration...Ch. 8 - Professional Application (a) Calculate the maximum...Ch. 8 - Given the following data for a fire...Ch. 8 - How much of a single-stage rocket that is 100,000...Ch. 8 - Professional Application (a) A 5.00-kg squid...Ch. 8 - Unreasonable Results Squids have been reported to...Ch. 8 - Construct Your Own Problem Consider an astronaut...Ch. 8 - Construct Your Own Problem Consider an artillery...
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