Example F2 Two forces, Fl and F2, act on a 5-kg mass. If Fl 20 N and F2 =15 N, find the acceleration in (a) and (b) of the Figure F1 (a) F2 60

Q: b. sen(r y) d(r, u)

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Q: A constant propulsion force of magnitude F = 10 N acts on a on a rocket of mass 2 x 10 kg. Find…

A: Here a constant propulsion force of magnitude F=104N acts on a rocket of mass 2×103 kg We have to…

Q: Find u xv, vx u, and v x v. u = 5i + 6k v = 2i + 8j - 3k. (a) u xv (b) vxu (c) vxv 0

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Q: 1 7 Find if -3w-6(u + 2v) if u = -3j, v = i +2j, and w = -- --. Express your answer as a linear…

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Q: Use the information given in the figure below to construct a mathematical model for the number of…

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Q: Show that if A is a tensor, then Ars+Asr is a symmetric tensor and tensor. is a skew-symmetric

A: we are given that Arspq   is a tensor.  So we  are to show that the tensor  Arspq + Asrqp  is…

Q: 3. The vertical trapezoid plate shown is below is the end plate of a trough full of water. Write but…

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Q: WebAssign Plot (b) Find u + v. u + v = (c) Find 8v – u. 8v - u = (d) Write w = (88, 0) as a linear…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: Find u x v, v x u, and v x v. u = -5i + 3j v = 4i + 5j + 2k (a) u x v (b) v xu (c) V x V

A: The objective of this question is to find the cross products of the given vectors. The cross product…

Q: Rose deposits P20,000 into a fund that earns 7.5% interest payable quarterly while Jack deposits at…

A: Use compound interest calculation formula to solve.  Find the net amount for Rose and then use it to…

Q: Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3…

A: Here is the required solution:

Q: kindly solve it

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Q: emoving a Stump A farmer wishes to remove a stump from a field by pulling it out with his tractor.…

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Q: et r(t) be the position of a particle in space at time t. Find the angle between the velocity and…

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Q: Solve for the unknowns in the vector equation below. 1 ¹ [8] +5 [7²] +6B] = [3] 3 a = b=

A: We need to find the unknowns a and b given in the vector equation. 1[8a]+5[-27]+6[b3]=[73]

Q: Find dy: dx y = x sin6x

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Q: forces. ( Fy 8m b) 300 N 6m Fx

A: Topic:- trigonometry ratios

Q: Given the position function p(x) = e2x, find the acceleration function. 2x O Oe 4x O2e 4x O4e2x

A: Given: Position function p(x)=e2x We are required to find: Acceleration function

Q: Force (F) Deflection (d) 1N 1.2mm 2N 2.5mm 3N 4.7mm .7.8mm 4N 9.9mm 5N Using linear interpolation,…

A: Introduction: The formula of newton forward interpolation is given by,…

Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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Q: v2 = u? + 2as %3D The velocity of an object can be found using the fomula above where v is the final…

A: Given:  Velocity of an object , v is the final velocity , u is the initial velocity , a is the…

Q: Prove Helmholtz's theorem. C=C₁ + Cl with V.C₁ = 0 and V.C₁ = 0

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Q: You are given: L is the force of mortality for a life age a under the Standard Ultimate Life Table.…

A: Given  μ60+t=0.8μ60+t*+0.01 where μx* is the force of mortality for a life age x under the standard…

Q: Fill in the blank/s: If (shown), then x = ________ and y =________

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.