subject

Mathematics, 02.09.2020 01:01 dianaskye9081

Which of the following are dimensionally consistent? (Choose all that apply.)(a) a=v / t+xv2 / 2(b) x=3vt(c) xa2=x2v / t4(d) x=vt+vt2 / 2(e) v=x2 / at3(f) a3=x2v / t5(g) x=t(h) v=5at

ansver

Answers: 2

Show answers

Answers

ansver

Answer from: jordanwrighta1

Complete Question

The complete question is shown on the first uploaded image

A

is dimensionally consistent

B

is not dimensionally consistent

C

is dimensionally consistent

D

is not dimensionally consistent

E

is not dimensionally consistent

F

is dimensionally consistent

G

is dimensionally consistent

H

is not dimensionally consistent

Step-by-step explanation:

From the question we are told that

The equation are

$A) \ \ a^3 = \frac{x^2 v}{t^5}$

$B) \ \ x = t$

$C \ \ \ v = \frac{x^2}{at^3}$

$D \ \ \ xa^2 = \frac{x^2v}{t^4}$

$E \ \ \ x = vt+ \frac{vt^2}{2}$

$F \ \ \ x = 3vt$

$G \ \ \ v = 5at$

$H \ \ \ a = \frac{v}{t} + \frac{xv^2}{2}$

Generally in dimension

x - length is represented as L

t - time is represented as T

m = mass is represented as M

Considering A

$a^3 = (\frac{L}{T^2} )^3 = L^3\cdot T^{-6}$

and $\frac{x^2v}{t^5 } = \frac{L^2 L T^{-1}}{T^5} = L^3 \cdot T^{-6}$

Hence

$a^3 = \frac{x^2 v}{t^5}$ is dimensionally consistent

Considering B

x = L

and

t = T

Hence

x = t is not dimensionally consistent

Considering C

$v = LT^{-1}$

and

$\frac{x^2 }{at^3} = \frac{L^2}{LT^{-2} T^{3}} = LT^{-1}$

Hence

$v = \frac{x^2}{at^3}$ is dimensionally consistent

Considering D

$xa^2 = L(LT^{-2})^2 = L^3T^{-4}$

and

$\frac{x^2v}{t^4} = \frac{L^2(LT^{-1})}{ T^5} = L^3 T^{-5}$

Hence

$xa^2 = \frac{x^2v}{t^4}$ is not dimensionally consistent

Considering E

x = L

;

$vt = LT^{-1} T = L$

and

$\frac{vt^2}{2} = LT^{-1}T^{2} = LT$

Hence

$E \ \ \ x = vt+ \frac{vt^2}{2}$ is not dimensionally consistent

Considering F

x = L

and

$3vt = LT^{-1}T = L$ Note in dimensional analysis numbers are

not considered

Hence

$F \ \ \ x = 3vt$ is dimensionally consistent

Considering G

$v = LT^{-1}$

and

$at = LT^{-2}T = LT^{-1}$

Hence

$G \ \ \ v = 5at$ is dimensionally consistent

Considering H

$a = LT^{-2}$

,

$\frac{v}{t} = \frac{LT^{-1}}{T} = LT^{-2}$

and

$\frac{xv^2}{2} = L(LT^{-1})^2 = L^3T^{-2}$

Hence

$H \ \ \ a = \frac{v}{t} + \frac{xv^2}{2}$ is not dimensionally consistent

ansver

Answer from: Quest

the bolded word " farsighted" could be replaced with visionary.

ansver

Answer from: Quest

answer: (x+2) (x+3) are the binomials for your question : )

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:00, maddiehope6140

Acar travels at an average speed of 56 miles per hour. how long does it take to travel 196 miles

Answers: 1

Mathematics, 21.06.2019 17:30, lesliealaves16

Find the difference (8ab+a+2) - (3ab+6)

Answers: 1

Mathematics, 21.06.2019 19:00, nateqqj

Prove that quadrilateral is a rhombus.

Answers: 1

Mathematics, 21.06.2019 19:00, 19King73

The liabilities of cullumber are $99,000. owner’s capital is $143,000; drawings are $96,000; revenues, $467,000; and expenses, $301,000. what is the amount of cullumber company’s total assists?

Answers: 1

You know the right answer?

Which of the following are dimensionally consistent? (Choose all that apply.)(a) a=v / t+xv2 / 2(b)...

Questions in other subjects:

Konu

Mathematics, 17.03.2020 01:21

Anita's reports that 52% of his customers order their food to go if this proportion is correct what is the probability that in a random sample of 4 customers at Anita's exactly to...

Konu

Mathematics, 17.03.2020 01:21

Which values are solutions to the inequality below? Check all that apply.

Konu

Mathematics, 17.03.2020 01:21

Choose the linear inequality that describes the graph y<-3x-4...

Konu

Mathematics, 17.03.2020 01:21

Spam filters in an email program are similar to hypothesis tests in that there are two possible decisions and two possible realities and therefore two kinds of errors that can be m...

Konu

Mathematics, 17.03.2020 01:21

2)What are the relative minimum and relative maximum values over the interval -3,3] forthe function shown in the graph? (4 points)Minimum:Maximum:

Konu

Business, 17.03.2020 01:21

A Treasury bill with 119 days to maturity is quoted at 97.630. What are the bank discount yield, the bond equivalent yield, and the effective annual return? (Do not round intermedi...

Konu

English, 17.03.2020 01:21

What role does Walmart play in the solution to the obesity crisis? Based on Michele Obama article about the business case for healthier food options...

Konu

Mathematics, 17.03.2020 01:21

A conical tank (with the pointy end facing down) has a radius of 3 feet at and a height of 10 feet. The tank is filled with molasses to a height of 2 feet. Find the req...

Konu

Mathematics, 17.03.2020 01:21

What is the surface area of this design?...

Konu

Mathematics, 17.03.2020 01:21

A family has a rectangular back yard that measures 3 + 5 by 2 − 1. They are building a square patio with side lengths that measure + 3. Write an expression for the area of the gras...

More questions: Mathematics Another questions