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As defined in the fig V, and e Find The equation that defines y as a function ofx.
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Someone drives 215 km west before turning to go 98 km southwest at 45°. How far are they from where they started? Express your answer using three significant figures. 293 km Submit Previous Answers ✓ Correct Part B In what direction are they from where the started, measured counterclockwise from due east?
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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
Choose one equation (and only one) from the equation sheet that would let you solve the problem posed. Then define which variables in the equation go with what numbers from the problem itself (not from other problems), and define which variable is being solved for. Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable. 1) A single mole of Carbon Dioxide has a mass of 44 g, and at 1.00 atm of pressure and 20oC (293K) it occupies 22.4 liters. At what speed will you find the peak of its speed distribution function?
b 16. Two nonzero vectors, a and b, are such that a + b = |a - b. Show that a and b must represent the sides of a rectangle.
You decide to walk from your home to your friend's house. He lives 164 meters away from you at an angle 59° South of East. What is the eastern component of your displacement? m What is the southern component of your displacement? m