The position of a moving particle in vortex is expressed as, x(t) = x0 sin(at3 + bt3/2) where x0is the position at t = 0, x (t) is the position at time t, and a and b are the constants. Using dimensional analysis find the units of the constants a and b?

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A: a) a+b = (3i+4j)+(5i-2j) a+b= 8i-2j Magnitude of (a+b) = √(8²+2²) = √68 So unit vector =…

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Q: If A = 3i + 3j and B = 7i + 5j, what is the magnitude of C = A - B

A: Write the given vectors below. A=3i^+3j^B=7i^+5j^

Q: If ϕ = 90° − θ, what is the value of sin2 ϕ + sin2 θ?

A: Given data:

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Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

A: Resultant of a vector is given by, R=L2+D2 Substitute the given values in above equation,…

Q: In the figure, which of the indicated methods for combining the x and y components of vector a are…

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Q: The vector A has a components +5 and +7 along x and y axes respectively. If the vector is now…

A: SOlution: given that  vector A has a components +5 and +7 along x and y axes If the vector is now…

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Q: • For the two vectors A and B in Fig. E1.370, find (a) the scalar product A B; (b) the magnitude and…

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A: Here, We are given, two vectors, A = (2ex+3ey) and B=(5ex+1ey) . We have to draw these two vectors…

Q: Into which quadrant do each of the following vectors point? A Quadrant II 90°<0く180° Quadrant I 0"…

A: Questions based on vectors and quadrant system

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A: There are two physical quantities in nature- scalar and vector. Scalar quantities are those which…

Q: The position of a moving particle in vortex is expressed as, x(t) = xo sin(at³ + bt3/2) where xo is…

A: Given displacement equation: xt=x0sinat3+bt32 Now, the term at3+bt32 is dimensionless as it is only…

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A: Given data: Flow vector J is, J→x,y,z=-2J0txyi^+yzj^+xzk^

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Q: Object Mi (kg) M2 (kg) M3 (kg) M4 (kg) M (kg) SM (kg) UM (kg) Object 1 0.01935 0.01935 0.01935…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Magnitude of vector = 180 m θ = 33 degree left of positive y axis , which means 33 degree west of…

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Q: A landscape architect is planning an artificial waterfall in a city park.Water flowing at 0.750 m/s…

A: Recall if Vx=constant then x=Vxt As Vy=0 So  h=1/2gt2 t=2h/g

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A: Consider the situation in the diagram below.

Q: Given two vectors A⃗ =−2.00i^+3.00j^+4.00k^A→=−2.00i^+3.00j^+4.00k^ and B⃗…

A: A→ = -2i^ + 3j^ + 4k^B→ = 3i^ + j^ - 3k^

Q: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s…

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A: Here, Now,

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Q: Solve 1-2 using the given following vectors. + = (5i – 4j + 8k )m A (30i + 12j + 10k )N (8i + 4j +…

A: Please see the answer below

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A: Ax=Acosθ=15.0 unitscos310°=9.64 units

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A: Given The vector B in the negative y axis is By=-7 unit. The vector A in the negative x axis is…

Q: Vector R is given by R=A-2B+3C. Calculate the magnitude of R as well as direction with respect to…

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Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

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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.