FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 2, Problem 10Q
Suppose that a passenger intent on lunch during his first ride in a hot-air balloon accidently drops an apple over the side during the balloon’s liftoff. At the moment of theapple’s release, the balloon is accelerating upward with a magnitude of 4.0 m/s2 and has an upward velocity of magnitude 2 m/s. What are the (a) magnitude and (b) direction of the acceleration of the apple just after it is released? (c) Just then, is the apple moving upward or downward, or is it stationary? (d) What is the magnitude of its velocity just then? (e) In the next few moments, does the speed of the apple increase, decrease, or remain constant?
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Chapter 2 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 2 - Suppose that a passenger intent on lunch during...Ch. 2 - While driving a car at 90 km/h, how far do you...Ch. 2 - Compute your average velocity in the following two...Ch. 2 - SSM WWW An automobile travels on a straight road...Ch. 2 - A car moves uphill at 40 km/h and then back...Ch. 2 - SSM The position of an object moving along an x...Ch. 2 - The 1992 world speed record for a bicycle...Ch. 2 - Two trains, each having a speed of 30 km/h, are...Ch. 2 - ILW In 1 km races, runner 1 on track 1with time 2...Ch. 2 - To set a speed record in a measured straight-line...
Ch. 2 - GO You are to drive 300 km to an interview. The...Ch. 2 - ILW You drive on Interstate 10 from San Antonio to...Ch. 2 - GO An electron moving along the x axis has a...Ch. 2 - GO a If a particles position is given by x = 4 ...Ch. 2 - The position function xt of a particle moving...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - The position of a particle moving along an x axis...Ch. 2 - SSM At a certain time a particle had a speed of 18...Ch. 2 - a If the position of a particle is given by x =...Ch. 2 - From t = 0 to t = 5.00 min, a man stands still,...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - Catapulting mushrooms. Certain mushrooms launch...Ch. 2 - An electric vehicle starts from rest and...Ch. 2 - A muon an elementary particle enters a region with...Ch. 2 - An electron has a constant acceleration of 3.2...Ch. 2 - On a dry road, a car with good tires may be able...Ch. 2 - ILW A certain elevator cab has a total run of 190...Ch. 2 - The brakes on your car can slow you at a rate of...Ch. 2 - SSM Suppose a rocket ship in deep space moves with...Ch. 2 - SSM ILW A car traveling 56.0 km/h is 24.0 m from a...Ch. 2 - A car moves along an x axis through a distance of...Ch. 2 - a If the maximum acceleration that is tolerable...Ch. 2 - You are driving toward a traffic signal when it...Ch. 2 - GO You are arguing over a cell phone while...Ch. 2 - When startled, an armadillo will leap upward....Ch. 2 - SSM WWWa With what speed must a ball be thrown...Ch. 2 - Raindrops fall 1700 m from a cloud to the ground....Ch. 2 - SSMAt a construction site a pipe wrench struck the...Ch. 2 - A hoodlum throws a stone vertically downward with...Ch. 2 - SSM A hot-air balloon is ascending at the rate of...Ch. 2 - GO A bolt is dropped from a bridge under...Ch. 2 - SSM ILW A key falls from a bridge that is 45 m...Ch. 2 - GO A stone is dropped into a river from a bridge...Ch. 2 - SSM A ball of moist clay falls 15.0 m to the...Ch. 2 - To test the quality of a tennis ball, you drop it...Ch. 2 - An object falls a distance h from rest. If it...Ch. 2 - Water drips from the nozzle of a shower onto the...Ch. 2 - GO A rock is thrown vertically upward from ground...Ch. 2 - GO A steel ball is dropped from a buildings roof...Ch. 2 - A basketball player grabbing a rebound jumps76.0...Ch. 2 - GO A drowsy cat spots a flowerpot that sails first...Ch. 2 - Two particles move along an x axis. The position...Ch. 2 - In an arcade video game, a spot is programmed to...Ch. 2 - A rock is shot vertically upward from the edge of...Ch. 2 - GO At the instant the traffic light turns green,...Ch. 2 - GO To stop a car, first you require a certain...Ch. 2 - SSM A hot rod can accelerate from 0 to 60 km/h in...Ch. 2 - GO A red train traveling at 72 km/h and a green...Ch. 2 - A train started from rest and moved with constant...Ch. 2 - SSM A particles acceleration along an x axis is a...Ch. 2 - A rocket-driven sled running on a straight, level...Ch. 2 - Prob. 85PCh. 2 - Prob. 86PCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Prob. 89PCh. 2 - Prob. 90PCh. 2 - Prob. 91PCh. 2 - Prob. 92PCh. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - Prob. 95PCh. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - Prob. 98PCh. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Prob. 106PCh. 2 - Prob. 107PCh. 2 - Prob. 108PCh. 2 - Prob. 109P
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