Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Chapter 10.4, Problem 10.8P
To determine
Whether Equation 10.65 satisfies Equation 10.52, by direct substitution.
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The force F= (yzi + zxj + xyz)/xyz acts on the particle P(x,y,z) which moves in space. (a) Using the relation derived in Prob. 13.79, show that this force is a conservative force. (b) Determine the potential function associated with F.Reference to Problem 13.79:Prove that a force F(x,y,z) is conservative if, and only if, the following relations are satisfied:
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- rection: Calculate the following. (Three points each) 2. Sam has measured the end points of two poles, and wants to know the angle between them: 1. Calculate the dot product of vectors a and b: (11,5,8) A (3.60 m) a (4,8,2) az k 70.0 30.0 () ax y B (2.40 m) ay 3. Vector a has magnitude 3, vector b has magnitude 4 and the angle between a and b is 60°. What is the value of a. b.? 4. Vector a has magnitude 3v2, vector b has magnitude 5 and the angle between a and b is 135°. What is the value of a. b.? 5. What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?arrow_forwardIf v×w =2i −3j+2k, v×w=2i−3j+2k, and v⋅w=5, and θ is the angle between v and w, thenarrow_forwardThe density of a star measured from the center of a star is equal to Z. a is constant. find the gravitational potential and g as a function of r.arrow_forward
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