a)How far from a 2.50 μC point charge will the potential be 130 V B.) At what distance will it be 2.60 X 10² V? m
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S1) Please solve the sub-part (b) only, in this question.
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- True or False 1. A force vector can be resolved into infinitely many force components. 2. A 50N force directed 69° N of W is equal to -50N force directed 21° E of S. 3. In a force system with two vectors, force A is completely known while only the line of action of force B is known. The resultant R of A+B is minimum if and only if R is perpendicular to B. 4. Vector addition is commutative. They can be added in any order. 5. Two vectors are considered equal as long as they have the same magnitude.Let’s practice drawing some vectors. One the axes below, start at the origin and draw the givencomponent vectors and the resultant vector. Each line is one unit (c) |vx| = −3, |vy | = −5Locate the centroid x of the area. y h y = h -b.
- Solve the algebraic equation. Find the unknown(d) a=b+cd Given:a=40 b=8 c=2a) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector x, unit vector y, unit vector z at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form. b) Express ?⃗ in component form. (Recall: Draw ?⃗ with unit vector ?, unit vector y, unit vector z placed at its tail.) Determine the angles ?,?, and ?. Plug into the generic expression for a vector in component form.)Which of the following is true for vector addition in a linear vector space? I. It is commutative. II. It is associative. III. The vector sum of two vectors each in the linear vector space is also in the same linear vector space. O I. and III. O I. and II. O 1., II., and III. O II. and III.
- . Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors. A = 31 + 4k B = 23+k.Figure + q CThe 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…