Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 8, Problem 13OQ
To determine
The comparison for final momenta.
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Question 3 of 17
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L
L
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
45
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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 8 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 8.1 - Two objects have equal kinetic energies. How do...Ch. 8.1 - Your physical education teacher throws a baseball...Ch. 8.3 - Prob. 8.3QQCh. 8.4 - A table-tennis ball is thrown at a stationary...Ch. 8.6 - A baseball bat of uniform denisty is cut at the...Ch. 8.7 - Prob. 8.6QQCh. 8 - Prob. 1OQCh. 8 - A head-on, elastic collision occurs between two...Ch. 8 - Prob. 3OQCh. 8 - A 57.0-g tennis ball is traveling straight at a...
Ch. 8 - A 5-kg cart moving to the right with a speed of 6...Ch. 8 - A 2-kg object moving to the right with a speed of...Ch. 8 - The momentum of an object is increased by a factor...Ch. 8 - The kinetic energy of an object is increased by a...Ch. 8 - Prob. 9OQCh. 8 - Prob. 10OQCh. 8 - Prob. 11OQCh. 8 - Prob. 12OQCh. 8 - Prob. 13OQCh. 8 - A ball is suspended by a string that is tied to a...Ch. 8 - A massive tractor is rolling down a country road....Ch. 8 - Prob. 16OQCh. 8 - Prob. 17OQCh. 8 - Prob. 18OQCh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - A bomb, initially at rest, explodes into several...Ch. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - A juggler juggles three balls in a continuous...Ch. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - An open box slides across a frictionless, icy...Ch. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 5PCh. 8 - A girl of mass mg is standing on a plank of mass...Ch. 8 - Two blocks of masses m and 3m are placed on a...Ch. 8 - Prob. 8PCh. 8 - A 3.00-kg steel ball strikes a wall with a speed...Ch. 8 - A tennis player receives a shot with the ball...Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - In a slow-pitch softball game, a 0.200-kg softball...Ch. 8 - Prob. 15PCh. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Two blocks are free to slide along the...Ch. 8 - As shown in Figure P8.20, a bullet of mass m and...Ch. 8 - Prob. 21PCh. 8 - A tennis ball of mass mt is held just above a...Ch. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - An object of mass 3.00 kg, moving with an initial...Ch. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - A billiard ball moving at 5.00 m/s strikes a...Ch. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A water molecule consists of an oxygen atom with...Ch. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - A 2.00-kg particle has a velocity (2.00i3.00j)m/s,...Ch. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - A rocket has total mass Mi = 360 kg, including...Ch. 8 - A model rocket engine has an average thrust of...Ch. 8 - Two gliders are set in motion on a horizontal air...Ch. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Prob. 53PCh. 8 - Prob. 54PCh. 8 - A small block of mass m1 = 0.500 kg is released...Ch. 8 - Prob. 56PCh. 8 - A 5.00-g bullet moving with an initial speed of v...Ch. 8 - Prob. 58PCh. 8 - Prob. 59PCh. 8 - A cannon is rigidly attached to a carriage, which...Ch. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - George of the Jungle, with mass m, swings on a...Ch. 8 - Sand from a stationary hopper falls onto a moving...Ch. 8 - Prob. 65P
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