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A particle undergoes a displacement AP of magnitude 54 in a
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Part A
Express At of the unit vectors and
Express your answer using two significant figures. Express your answer in terms of the unit vectors i and Use the funt vector) button to
denots unit vectors in your answers
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A is a constant vector is a displacement vector PROOF a and b a) V· († × Ã) = 0 b) ỹ• [F(Ã• F)] = 4(Ã·F)
Here are vectors and w. W |||| Y 190° # 8 310 0 Find the magnitude and direction angle (0) of 7+w. Round your final answer to the nearest tenth. It's okay to round your intermediate calculations to the nearest hundredth. You might need: Calculator Show Calculator x Report a proble
I got 13.4N unit vector z+14.9N unit vector y for question 5b I need help on 2b i
Please answer part A and B with explanation
The normalized 1s wavefunction (n = 1, l = 0) of any one-electron atom or ion can be written as 100 (r, 0, 0) = R₁0(r)Y(0,0) = Z3 παρ 3 where Z is the nuclear charge (number of protons) and a = πmpe2 €0h² (a) Construct an integral expression, in r, 0, and that can be used to determine the expectation value for the hydrogen atom potential energy, (V), and evaluate the integrals over and p. Be mindful of the integration volume element. En == e (b) Define x = Zr/ao and use this form to simplify the integral over r and evaluate it (using the tabulated integral provided above) to obtain an expression for (V). Your result should include a factor of V(a). Use the potential energy operator V(r) = where e represents the electron charge and is the permittivity of a vacuum. Express your result in terms of V(a) (that is, express it as something times V(a)). (c) The energy levels of one-electron atoms and ions can be written in terms of a as Z Z²e² (2²72²2) V (ao) = (E) 8περαon2 Using this and your…
M PRACH Consider the three displacement vectors A = (4î - 3ĵ) m, B = (61 - 7ĵ) m, and C = (-8î + 5ĵ) m. Use the component method to determine the following. (Take the +x direction to be to the right.) (a) the magnitude and direction of the vector D = A + B + C X magnitude Note that all three vectors lie in the xy plane so the sum of these vectors will also lie in the xy plane. m X The angle you give does not put the sum into the correct quadrant.° counterclockwise from the +x axis direction (b) the magnitude and direction of E= -A-B+C magnitude m direction counterclockwise from the +x axis
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