(a) What energy is dissipated by a lightning bolt having a 20,700 A current, a voltage of 117 MV, and a time duration of 1.00 ms? (b) What mass of tree sap could be raised from 18.0°C to its boiling point and then evaporated by this energy, assuming sap has the same thermal characteristics as water with a specific heat of 4184 J/(kg · °C) and a latent heat of vaporization of 2256 x 103 J/kg? kg

Q: Solve for the required using the given vectors A = 31 – 8j + 6k B = 4 j+ 9k - 5i с. (А х В) x С C =…

A:

Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AXB) · (CXB)

A:

Q: The force F has a magnitude of 460 N. Express F as a vector in terms of the unit vectors i and j.…

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Q: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find v X u.

A: The objective of the question is to find the cross product of two vectors v and u. The cross product…

Q: Problem 4: A conducting rod spans a gap of length L = 0.179 m and acts as the fourth side of a…

A: Given, L= 0.175 m B = 0.45 T A = 6.5 m/s2 R = 150 ohms

Q: If C is added to B. the result is -9å + 5ĵ. If B is subtracted from C. the result is 4î – ĵ . Find…

A: C→ + B→ = -9i^ + 5j^    ...(1)C→ - B→ = 4i^ -j^    ...(2)

Q: What direction does the vector b = -5.00i + 5.003 N point in?

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Q: Vector A has Magnitude = 15, and direction = 230º. Write it in vector notation (i.e. as Ax i + Ay j)

A: It is given that,

Q: The figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of…

A: Given value--- Vector A has a length of 31, vector B has a length of 67.0 vector C has a length of…

Q: A force vector has a magnitude of 592 newtons and points at an angle of 45° below the positive x…

A: The magnitude of the force vector is The angle of the force F below the +x axis is

Q: Consider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y…

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Q: QUESTION 1 Given that: Å = xî + yj + zk, determine the value of: î (f x î) + j x (↑ x j) + k x (f x…

A: Given data r=xi+yj+zk The cross product of some vectors is as follows. i×j=kj×k=ik×i=ji×i=0 The…

Q: a) C = Ā B b) Ĉ = Ā B c) C = Ã × B

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Given two vectors A = - 2.00 + 3.00ĵ + 4.00 k and B = 3.00 î+ 1.00 – 3.00 k, (a) find the magnitude…

A: We have to calculate the magnitude of each vector. Given Data, A→=-2.0 i^+3.0 j^+4.0 k^B→=3.0 i^+1.0…

Q: 1.39 - (a) Write each vector in Figure E1.39 Fig. El.39 in terms of the unit vectors î and ĵ. (b)…

A: Given: The magnitude of vector A is 3.6 m and the direction is 70o with a positive x-axis. The…

Q: The figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of…

A: Concept: Here, the three vectors are given. The length of each vector is, A→=31.0B→=64.0C→=22.0 The…

Q: Consider two vectors A = 3.56 i+ -3.07 k and B = 0.09j+ 1.82 k. Find the angle o between these two…

A: Given The two vectors are given as A→=3.56 i^+-3.07 k^ and B→=0.09 i^+1.82 k^ Angle between the two…

Q: Two vectors are given by a = 2.5î + 5.6ĵ and b = 7.9î + 2.4ĵ. Find (a) a × b ,(b) đ b,(c) (a + b). b…

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Q: In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The…

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Q: A B с Supply the logic equation for the following numbered locations. Location 1: Location 2:…

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Q: The electron in a hydrogen atom is in the state |v) = N[3]v100) + 4 |w211)] where ynlm represents…

A: Given: |ψ>=N3|ψ100>+4|ψ211>N=15Now, H will be Hamiltonian of |ψ> ifH|ψ>=E|ψ>For…

Q: Let: A = 210 units @ 21.6 degrees %3D B = 156 units @ 31.4 degrees %D If C= Ã + B Find C Select one:…

A: Given:A=200 unit @ 21.6 degreeA=200 unit @ 21.6 degreeIF C=A+BFind CNow,Fx=210…

Q: Find the sum of vectors ? (2, −3, 1) and ?(1, 5, −3) a.   −?? + 8?? − 4?? b.   ?? − 8?? + 4?? c.…

A: Answer:-  Given  Vector A =  (2 , - 3 ,1) = (2i - 3j + 1k)  Vector B = (1 , 5 , -3) = (1i + 5j - 3k)…

Q: eif A-2itj-k B=i+2j+ 5k calculate A.B

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Q: What is the sum of the roots of the equation +8 =0? O-8

A: Given -  x³ + 8 = 0    ...(1)

Q: The force F has a magnitude of 470 N. Express F as a vector in terms of the unit vectors i and j.…

A:

Q: In the figure particle 1 (of charge +1.17 mC), particle 2 (of charge +1.17 mC), and particle 3 (of…

A: Dear student The elecrric field is a vector quantity. Therefore it must be added according to vector…

Q: describe how finding the magnitude of a two-dimensional vector is different than finding the…

A: Solution: The two dimensional vector in terms of cartesian unit vector in x-y plane is given as r→=x…

Q: GIVEN:               A = 3.0i + 4.0j + 2.0k                             B = 5.0i + 2.0j…

A: Given: A = 3.0i + 4.0j + 2.0k B = 5.0i + 2.0j  C = 2.0i + 3.0j

Q: Given the following vectors, b The angle of the vector 2 = 4a +56 with respect to the negative…

A:

Q: Given two vectors: M = -3i + 6j – 5k and N= -2i + 3j + k The magnitude of 2N - Mis A 7.07 B 39.2 C…

A: Given: M→=-3i^+6j^-5k^N→=-2i^+3j^+k^

Q: Problem 2: For the image shown, the capacitors have the following values: C1 = 2.95*10^-6, C2 =…

A: Given,   Total capacitance, C = 5.94×10-6 F               Potential (V) =  81 V

Q: Let vector a = <5,2,4> and vector b = <-4,2,0>. Find vector 2a+3b

A: The objective of the question is to find the resultant vector of 2a+3b, where a and b are given…

Q: Which of the following is not true? ○ V1 (1) V2 (2) = V1 (2) ₂ (1) ○ V1 (1) V₂ (2) + ✨1 (2) ₂ (1) =…

A: If we take two Particles 1 and 2 and considering state ?1 and ?2 .

Q: dx Given that the integral y²+x² a b с d I 4y Л 8y I 2y³ I == 2y the value of dx (y² + x²)² is

A:

Q: Vectors A and B are given by: A = 89.23i + 32.22j B = 57.28i + 1.98j Find the scalar product AB.

A: Given: A=89.2i+32.22jB=57.28i+1.98j

Q: 1.41 • For the vectors A, B, and Č in Fig. El.22, find the scalar prod- ucts (a) Ả • B; (b) B •Č;…

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Q: Consider two vectors A = -9.88 i + 1.47 k and B = 2.4 j+ 0.49 k. Find the %3D angle o between these…

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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: Calculate a · b when a = 2i – 3j + 5k, b=i+2j + 8k

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Q: v = i - 5j, w = 2i +j+2k and the angle between v and w is 45, find v. w and v X w

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

A: X=9 Y=18

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.