Let the position of an obj Iqo t2 0. The velocity of th

Q: A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given…

A:

Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…

Q: A curve in three dimensional space is parametrized as F(u) = cos(u)i + sin(u)j + cos(3u)k, и є [0,…

A:

Q: prove that [L2,Lz]=0

A: L^2 is an operator that represents the square of angular momentumIt is equivalent toL^2 = L^x2 +…

Q: A circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate…

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Q: A displacement vectorr→in the xy plane is 89 m long and directed at angle θ = 23° in the figure.…

A: The magnitude of the vector r is 89 m and the angle made by the vector to horizontal is 23̊. The…

Q: Show that for any scalar λ, the vectors x, y given by satisfy the equa (x(ܡ_ (TAܠܝ ܐ ܕܥܕܐܓܦ+ܐܐ= - à…

A: The given equations are: px→+qy→=a→ .....(1)x→×y→=b  →..........(2)

Q: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What…

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Q: 18. An intelligent alien living on a planet in the solar system orbiting Alpha Centauri, the nearest…

A: The time taken by the Alien to receive signals is, t=dv=4.367 light year6.0×1012 miles1 light…

Q: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…

A: The required direction vector for [1 2 1] is shown in the figure below.

Q: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:

A:

Q: (d) Find x₁ (t) and x₂(t) with the initial conditions of x₁ (0) = 0.2, x₁ (0) = x₂ (0) = x₂ (0) = 0.

A: Given that the x1 and x2 be the displacement of the masses m1 and m2 respectively. The kinetic…

Q: Find the derivative of the function. y = e9x cos(x)

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Q: or the two vectors: (vectors)G= 2ˆi-3ˆj+1ˆk and (vector)H= 2ˆi+1ˆj-1ˆk what is (vector)G· (vector)H?…

A: Given data The vector G is given as  G→=2i^-3j^+k^. The vector H is given as  H→=2i^+j^-k^. The dot…

Q: Ahmed carrying a weight of 50 N walks a distance of 2m as shown in figure. The work done by him is…

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Q: (ax(* un ca) ¢dp J = (x) 3) Prove that

A: To prove the expression: x=∫-∞∞dpϕ*piℏ∂∂pϕp Given:The expression: ∫-∞∞dpϕ*piℏ∂∂pϕp ... i To show:The…

Q: If u⃗=&lt;8,5&gt;and v⃗=&lt;−9,−2&gt;, find projv⃗u

A: Basic Details The projection of the vector v over u is orthogonal projection of an onto vector on…

Q: B

A: We have to use vector addition here

Q: M Y Z N

A:

Q: For the vectors a = and b = find orthab.

A: Vectors are given as and Note:Find:Orthogonal projection of  on , that is,

Q: Let A=5i-6.5 and B=3.5i-7ĵ . If lies in the xy-plane, Cis perpendicular to À , and Č-B=15 , what is…

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Q: C A 2.4 т 2.8 т B 3.1 m

A: Given thatCO=3.1 mBX=2.4 mBY=2.8 m

Q: 4. Evaluate the following unit vector multiplications: 6 x k) • t () x k) x i Û ×k) × k А. 1 В. 1 С.…

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Q: Let vector A  point from the origin into the second quadrant of the xy plane and vector B point from…

A: When subtracting vectors, the rule is to graph the first two from the origin and then connect them…

Q: 1) (x+y) = 4xy 2) x?+y -6y = 0

A: In polar form coordinates are r and θ. Relation between cartesian coordinate x and y and polar…

Q: Cx = 0, Cy= A Sin 60o+ B Sin 30o Ax and By point in the positive x and y directions, respectively.…

A: StepI:∙A→+B→  are added together to form  C→=A→+B→∙Cx=0,  Cy=A sin 60+B sin30∙We need to find the…

Q: Locate the centroid x of the area. h y = -b

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Q: Prove A is perpendicular to A×B [Assume A=Ax i + Ay j +Az k, B=Bx i + By j +Bz k]

A: Solution:-Given thatProve A is perpendicular to A×B

Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j  B=3.00j-7.00k  To Find: C=2A-B

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: Find two nonnegative numbers x and y such that xy = 162 and 6x + 3y is minimized. X = y =

A: X=9 Y=18

Q: Problem 4: Four point charges of equal magnitude Q = 35 nC are placed on the corners of a rectangle…

A: Recall F=KQ1Q2/r2 As per given data and diagram.

Q: The vector -5.2 A→ has a magnitude of 37 mm and points in the positive x direction. Find the x…

A:

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.