Show that the following concentration profile satisfies Fick's second law of diffusion -x² nd C(x,t) = exp VīDt 4Dt where na is a constant and D is the self-diffusivity in bulk.
Q: A roller-coaster car moves 200 ft. horizontally and then rise 135 ft. at an angle of 30.0O above the…
A: Given that:- Movement of roller coaster car is given in the question.
Q: how about 2 , 3 and 4
A: Dear student, Since all questions are different as per guidelines we can author only one question.…
Q: 1. For the vectors shown in the figure, find a) A. B b) B.C c) A. C Use either method. Be careful…
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Q: Given vectors p and a have a magnitude of 7 and 2, respectively. Find the magnitude and direction of…
A: Magnitude of p = 7 Magnitude of q = 2 Angle, θ = 150°
Q: Rounded to the nearest integer, a two-dimensional vector with length 13 forming an angle of 67.4°…
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Q: 11. Determine the power that is taking by R2 in figure 6-3. (Hint: refer to page 47 of your work…
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Q: solve algebraic equation. The unknown is a a=(b+c)2/d b=4 c= -8 d=16
A: The algebraic equation is given as, a=b+c2d The variables are given as, b=4c=-8d=16
Q: 8. Find R = Ã+B, given that A has a magnitude of 4 at an angle of 30° above positive x-axis and B…
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Q: he second v
A: Given: To find the second vector magnitude and the direction is given as,
Q: A vector has an x-component of -25.0units and a y-component of 40.0 units. Find the agnitude and…
A: Vector in terms of components A=(Ax 2 +Ay 2 )1/2
Q: and B=5 are perpendicular ( doleïs ). What is the value of ?the constant d
A: Given that Both vectors A and B are perpendicular, So their dot product must be zero. A.B = 0 Also…
Q: A FCA = 500 lb 14 ft FRA 350 lb FDA 400 lb B 3 ft y 3 ft 2 ft D 3 ft3 3 ft 6 ft.
A: Solution:-Given that
Q: 15 Refer to diagram 4. A spherical lens made of plastic (n = 1.87) has two surfaces curved as shown.…
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Q: Figure 1 B (15.0 m) Ď (10.0 m) 30.0 53.0 25.0 Ĉ (12.0 m) Á (8.00 m)
A: Given data: Vectors with magnitude and direction Required: Represent vectors in terms of unit…
Q: Vector A = 3+39+2 and B = -4£ – 2ŷ + 52. Find the dot product and the cross product of A and B.
A: Given: Vector A→=3x^+3y^+z^ and vector B→=-4x^-2y^+5z^
Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k
A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^
Q: (a) Write a note on vector product or cross product with its characteristics. (b) Find the cross…
A: Given: A→=3i+1j-2kB→=1i-3j+4k
Q: Select the correct statement for: “If the vector has a magnitude of 25 meters and make an angle of…
A: The magnitude of a vector is the length of the vector and the angle is the orientation from the axis…
Q: A unit vector has the magnitude of ___ a) 5 b) 1 c) 10 d) 0
A: To find: A unit vector has the magnitude of
Q: 1. A FORCE vector has a magnitude of 100N directed at an angle of 30 degrees above the X-axis.…
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Q: Determine the angles made by the vector V=-491+30j with the positive x- and y-axes. Write the unit…
A: The problem is based on the concept of vectors. We have to calculate the unit vectors also. The…
Q: Given two vectors with equal magnitudes of 59 and their sum vector 93j. Find the angle between them.
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Q: 5. Vector A S has a magnitude of 35.0 units and points in the direction 325° counterclockwise from…
A: Given : |A| = 35 units θ = 325° counterclockwise from the positive x axis
Q: Two vectors of 8.0 units and 5.0 units make an angle of 600with each other. What is their vector…
A: Using mathematical method of vector addition, the resultant of two vectors is given by, R = √(A2+B2…
Q: Draw the vector within the unit cell (1.0.-2)
A: To determine: The vector within the unit cell (1 , 0 , -2)
Q: estion 7 Find the magnitude of the vector whose x- and y-components are given to be -1.036 and…
A: Given here,X COMPONENT: x=-1.036Y COMPONENT: y=-4.3512
Q: 1. Write a vector equation for A for each arrangement of vectors. For example, if adding B and Č…
A: Given:-
Q: Ã = (5 m/s)î + (2 m/s)j, B = (3 kg · m/s²)î + (2 kg · m/s²)I %3D
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Q: A vector has an x-component of 2.64 and a y-component of 4.58. The magnitude of the vector is:
A: The objective of the question is to find the magnitude of a vector given its x and y components. The…
Q: Find the vector sum of the following vectors using Analytical method and polygon method. 1.…
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Q: Find angle between two unit vectors A and B. A = 10i-3j-15k; B = 13i-5j+3k
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Q: In the cross (or vector) product qu x B we know that 9=1 -307 +9.07+-212 -3.07+4.07 +6.0 B=B₁1+B7+BA…
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Q: Part C Enter the expression -20 + 6D in the answer box using the notation just described. Express…
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Q: Given the vector V = -3 ax + 2 ay, the unit vector av is: O a. av = -0.83 ax + 0.55 ay O b. av =…
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Q: A force of 100N makes an angle Determine both the x-component with the x-axis and has a y-component…
A: Component of force along x axis = A Cosθ Component of a force along y axis = A Sinθ
Q: Vector A = 7.4 i + 3.2 j. Vector B = 3.7 i - 7.1 j. Calculate the angle between the two vectors in…
A: Given data The vector A is given as A = 7.4 i + 3.2 j The vector B is given as B = 3.7 i – 7.1 j.…
Q: The vector The vector C has length 16 and points at an angle of 15° has length 12 and points at an…
A:
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