Physics: Principles with Applications
7th Edition
ISBN: 9780321625922
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 2, Problem 44P
The best rebounders in basketball have a vertical leap (that is, the vertical movement of a fixed point on their body) of about 120 cm. (a) What is their intial “launch” speed off the ground? (b) How long are they in the air?
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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
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?
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(b) What is the y coordinate of the system's center of mass?
Ycom
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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
Physics: Principles with Applications
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Ch. 2 - A baseball player hits a ball straight up into the...Ch. 2 - As a freely falling object speeds up, what is...Ch. 2 - You travel from point A to point B in a car moving...Ch. 2 - Can an object have zero velocity and nonzero...Ch. 2 - Can an object have zero acceleration and nonzero...Ch. 2 - Which of these motions is not at constant...Ch. 2 - Describe in words the motion plotted in Fig. 2-32...Ch. 2 - Describe in words the motion of the object graphed...Ch. 2 - Which of the following should be part of solving...Ch. 2 - In which of the following cases does a car nave a...Ch. 2 - At time t = 0 an object is traveling to the right...Ch. 2 - A ball is thrown straight up. What are the...Ch. 2 - You drop a rock off a bridge. When the rock has...Ch. 2 - You drive 4 km at 30 km/h and then another 4 km at...Ch. 2 - A ball is dropped from the top of a tall building....Ch. 2 - A ball is thrown downward at a speed of 20 m/s....Ch. 2 - A car travels along the x axis with increasing...Ch. 2 - If you are driving 95 km/h along a straight road...Ch. 2 - What must your car's average speed be in order to...Ch. 2 - A particle at t1= 2.0 s is atx1=4.8cm and at t2=...Ch. 2 - A rolling ball moves from x1 =8.4 cm to x2 =-4.2...Ch. 2 - A bird can fly 25 km/h. How long does it take to...Ch. 2 - According to a rule-of-thumb, each five seconds...Ch. 2 - You are driving home from school steadily at 95...Ch. 2 - Prob. 8PCh. 2 - A person jogs eight complete laps around a 400-m...Ch. 2 - Prob. 10PCh. 2 - A car traveling 95 km/h is 210 m behind a truck...Ch. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - A sports car accelerates from rest to 95 km/h in...Ch. 2 - Prob. 18PCh. 2 - 19.(II) A sports car moving at constant velocity...Ch. 2 - Prob. 20PCh. 2 - 21.(II) A car moving in a straight line starts at...Ch. 2 - A car slows down from 28 m/s to rest in a distance...Ch. 2 - A car accelerates from 14 m/s in 6.0 s. What was...Ch. 2 - A light plane must reach a speed of 35 m/s for...Ch. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - 27.(II) A car slows down uniformly from a speed of...Ch. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Detemine the stopping distances for an automobile...Ch. 2 - A driver is traveling 18.0 m/s when she sees a red...Ch. 2 - 33.(II) A 75-m-long train begins uniform...Ch. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - 37.(III) Marry and Sally are in a foot race (Fig....Ch. 2 - 38.(III) An unmarked police car traveling a...Ch. 2 - A stone is dropped from the top of a cliff. It is...Ch. 2 - Estimate (a) how long it look King Kong to fall...Ch. 2 - A ball player catches a ball 3.4 s after throwing...Ch. 2 - Prob. 42PCh. 2 - A kangaroo jumps straight up to a vertical height...Ch. 2 - The best rebounders in basketball have a vertical...Ch. 2 - An object starts from rest and fails under the...Ch. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - A rocket rises vertically, from rest, with an...Ch. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55PCh. 2 - Prob. 56PCh. 2 - Prob. 57PCh. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60GPCh. 2 - Prob. 61GPCh. 2 - Prob. 62GPCh. 2 - Prob. 63GPCh. 2 - Prob. 64GPCh. 2 - Prob. 65GPCh. 2 - Prob. 66GPCh. 2 - Prob. 67GPCh. 2 - Prob. 68GPCh. 2 - Prob. 69GPCh. 2 - Prob. 70GPCh. 2 - Prob. 71GPCh. 2 - Prob. 72GPCh. 2 - Prob. 73GPCh. 2 - Prob. 74GPCh. 2 - Prob. 75GPCh. 2 - A conveyor belt is used to send burgers through a...Ch. 2 - Two students are asked to find the height of a...Ch. 2 - Prob. 78GPCh. 2 - A race car driver must average 200.0 km/h over the...Ch. 2 - Prob. 80GPCh. 2 - Prob. 81GPCh. 2 - Prob. 82GPCh. 2 - On an audio compact disc (CD), digital bits of...
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