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tangare [24]
2 years ago
10

In the equation y =cnat2 you wish to determine theinteger value (1,2 etc.) of the exponent n. the dimensions ofy, a, and t are k

nown. it is also known that chas no dimensions. can dimensional analysis be used to determinen?
Physics
1 answer:
kvasek [131]2 years ago
5 0

<u>NO.</u><u>  Since </u><u>"c"</u><u> has no dimensions, the value of its exponent </u><u>"n" </u><u>is irrelevant to dimensional analysis, and thus </u><u>dimension analysis </u><u>cannot be used to determine the value of </u><u>"n".</u>

Dimensional analysis is not applicable to proportionality constants, trigonometrical or exponential equations, equation consisting of sum or difference of some quantities and equation consisting of more than three fundamental quantities.

What is Dimensional analysis?

  • Dimensional Analysis is a problem-solving technique that makes use of the fact that any number or expression can be multiplied by one without changing its value.
  • It is also known as the Factor-Label Method or the Unit Factor Method. It is a practical method.

What is a dimensional analysis used for?

Dimensional analysis is a method used in engineering and the physical sciences to reduce physical properties like acceleration, viscosity, and energy to their three basic dimensions of length, mass, and time (T).

Learn more about Dimensional analysis

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A car travelling at 20 m/s due north along the highway makes a right turn on to a side road that heads due east. It takes 50 s f
Marrrta [24]

Answer:  initial velocity: 20 m/s

                time taken to complete the turn: 50s

               final velocity: 15 m/s

average acceleration= final velocity-initial velocity/time taken - 0s( 0 is taken here as there was no initial time)

           = 15-20/50-0

           = -5/50= -0.1 ms^2

3 0
3 years ago
Consider the vector field. f(x, y, z) = xy2z2i x2yz2j x2y2zk (a) find the curl of the vector field?
Marat540 [252]

Observe that the given vector field is a gradient field:

Let f(x,y,z)=\nabla g(x,y,z), so that

\dfrac{\partial g}{\partial x} = x y^2 z^2

\dfrac{\partial g}{\partial y} = x^2 y z^2

\dfrac{\partial g}{\partial z} = x^2 y^2 z

Integrating the first equation with respect to x, we get

g(x,y,z) = \dfrac12 x^2 y^2 z^2 + h(y,z)

Differentiating this with respect to y gives

\dfrac{\partial g}{\partial y} = x^2 y z^2 + \dfrac{\partial h}{\partial y} = x^2 y z^2 \\\\ \implies \dfrac{\partial h}{\partial y} = 0 \implies h(y,z) = i(z)

Now differentiating g with respect to z gives

\dfrac{\partial g}{\partial z} = x^2 y^2 z + \dfrac{di}{dz} = x^2 y^2 z \\\\ \implies \dfrac{di}{dz} = 0 \implies i(z) = C

Putting everything together, we find a scalar potential function whose gradient is f,

f(x,y,z) = \nabla \left(\dfrac12 x^2 y^2 z^2 + C\right)

It follows that the curl of f is 0 (i.e. the zero vector).

5 0
2 years ago
To clearly see an image, the wavelength used must be at most 1/4 of the size of the object that is to be imaged. what frequency
LuckyWell [14K]
From the statement, the wavelength should be 1.6 cm * 1/4 = 0.4 cm. Then, we use the wave equation formula. The frequency is equal to the speed of light divided by the wavelength. First, let's use the SI units.

0.4 cm = 0.004 m

The speed of light is equal to 3 x 10^8 m/s

Frequency = 3 x 10^8 m/s ÷ 0.004 m
Frequency = 7.49 x 10^10 s^-1
5 0
3 years ago
Which statement correctly describes the quantitative relationship between acceleration and net force on an object shown in the d
Brrunno [24]

Answer:

The correct answer is A

Explanation:

<h2><u>Because when the net force applied to an object changes, the acceleration changes by the same factor.  This answer is correct and I hope it helps you too.</u></h2><h2><u></u></h2>

Hope this helps....

Have a nice day!!!!

<h2><u></u></h2>
7 0
4 years ago
A car has a mass of 1800 Kg. If the cars engine provides a net forward force of 3600 N, what is the acceleration of the car
viva [34]

Answer:

<h2>2 m/s²</h2>

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

a =  \frac{f}{m}  \\

f is the force

m is the mass

From the question we have

a =  \frac{3600}{1800}  =  \frac{36}{18}   = 2\\

We have the final answer as

<h3>2 m/s²</h3>

Hope this helps you

6 0
3 years ago
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