В. Which of the following represent a simple harmonic oscillator: a. F= -0.5x? b. F = -2.3y

Q: A plane departs from a small airport in the direction ?30°? and travels for 50 miles. The plane then…

A: The plane departs from the airport and travels 50 miles in the direction of 30°. This forms a right…

Q: Vector v = <-4,4>. Vector w = <-2,-1>. If vector v+w+s = <-5,0>, what is the value…

A: The objective of the question is to find the value of vector s given that the sum of vectors v, w,…

Q: Let v = -5i+5j be a vector. Find a unit vector that points in the same direction as v and give…

A: The objective of the question is to find a unit vector that points in the same direction as the…

Q: Two vectors are given by a = 5.71 +7.7ĵ and b = 2.4î + 7.8ĵ. Find (a)|à x b]. (b) à · b, (c)(a + b).…

A: Note: As per the guidelines, we can only answer three subparts of a question. Sorry for the…

Q: Prove that the magnitude of the vector

A: To prove: magnitude of a vector M→(x,y)=M

Q: 11. Find the vector product or cross product(A x B) of the given vectors: A = 50 units, 35degrees W…

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Q: 6. The following equation is for a transverse wave. y(x,t)=(5.00cm)sin 2.00 Tad x+ 4.00- rad t+rad m…

A: The transverse wave is in the form, y=A sin{ kx+ωt+ϕ} where ω is the angular frequency Hence, ω=4.00…

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: A force vector has a horizontal component of 35 kN and a vertical component of 40kN. Express this…

A: Solution Given that Fx = 35 kN Fy = 40 kN

Q: Find the direction of the given vector: A = (9.95)i + (-3.77)j Measure the angle with respect to the…

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Q: A vector, V, has a magnitude of 3.60m and points at an angle of 27.0° to the left of the y- axis.…

A: Given:           magnitude of vector v= 3.6m            angle ,                       θ=270

Q: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the…

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Q: A cat rides a merry-go-round turning with uniform circular motion. At time 3.5s, the cat's velocity…

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Q: ctor B in the xy plane has a magnitude of 25.  If it has an x component of 12, what angle does it…

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Q: The product of an NxN matrix with an Nx1 vector is an NxN matrix. True False

A: I have done it using example

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x axis. They component of A is

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Q: Find a unit vector perpendicular to i+j+k and 2i+3j-k

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Q: A person travels 35 m East and then 55 m in a direction that is 32° from the positive x axis.

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Q: You are walking on a bearing of 32 degrees. You turn right 115 degrees and continue walking forward.…

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Q: vector a has components -3 and 6, vector b has components -9 and -6, find a+b.

A: The x-component of a→ is ax=-3 The y-component of a→ is ay=6 The x-component of b→ is bx=-9 The…

Q: Determine the angles made by the vector V = -15i + 52j with the positive x- and y-axes. Write the…

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Q: (e) [p, f(f)] (f) [â, Ħ] for general potential V (x)

A: [?,?(?)]?=(??(?)−?(?)?)?[p,F(x)]ψ=(pF(x)−F(x)p)ψ knowing that ?=−?ℏ∂∂?p=−iℏ∂∂x you'll get…

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

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Q: Find the magnitude of the vector A2 represented components: A₂ = -5.60 m, by the pair of Ay₂ = -2.75…

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Q: If d is just a number, for what value of d is the vector A=2i+2j+4k perpendicular to the vector  B=…

A: When the vectors are perpendicular, then their dot product will be zero.…

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

A: Given vector i.e. it makes an angle 44⁰ with x-axis. Remember  Therefore it (vector A) can be…

Q: 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the…

A: Given:- Vector B lies in x-y plane at an angle 30°with x-axis To find:-       Formula used:-

Q: F3 65° y 35° F2 F1

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Q: Vector Á has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors…

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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: You walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the…

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Q: If the F1= F2 = 40 KN determine the angle θ with y axis and o with y axis so that the resultant…

A: Given: F1 = F2 = 40 kN FR = 30 kN To determine: Angle θ Formula used: FR = F12+F22+2F1F2cosθ

Q: Vector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.

A: Vector A=(8, 4, -5)Vector B= (-2, 3, 0)

Q: Vector G is 40.3 m long in a -35.0° direction. Vector H is 63.3 m long in a 270° direction. Find the…

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Q: Express the vector in terms of components i and j.

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Q: An airport wishes to send out a rescue crew. Which direction and how far should this crew fly to go…

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Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.