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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 model airplane is flying horizontally due north at 44 ​mi/hr when it encounters a horizontal crosswind blowing east at 44 ​mi/
Alik [6]

Explanation:

Let i, j and k represents east, north and upward direction respectively.

Velocity due north, v_a=44j\ mi/hr

Velocity of the crosswind, v_w=44i\ mi/hr

Velocity of downdraft, v_d=-22k\ mi/hr (downward direction)

(a) Let v is the position vector that represents the velocity of the plane relative to the ground. It is given by :

v=44i+44j-22k

(b) The speed of the plane relative to the ground can be calculated as :

v=\sqrt{44^2+44^2+22^2}

v = 66 m/s

Hence, this is the required solution.

7 0
3 years ago
What is the acceleration of a rock is falling 5000m from a. Cliff in 31.9 seconds?
Alja [10]

Answer:

jumping from cliff sounds nice

Explanation:

5 0
3 years ago
In an emergency an airplane needs to land on a short runway at Albany County Airport. The plane comes in for a landing with a sp
zvonat [6]

Answer:

t = 13.43 s

Explanation:

In order to find the minimum time required by the plane to stop, we will use the first equation of motion. The first equation of motion is written as follows:

Vf = Vi + at

where,

Vf = Final Velocity of the Plane = 0 m/s (Since, the plane finally stops)

Vi = Initial Velocity of the Plane = 95 m/s

a = deceleration of the plane = - 7.07 m/s²

t = minimum time interval needed to stop the plane = ?

Therefore,

0 m/s = 95 m/s + (- 7.07 m/s²)t

t = (95 m/s)/(7.07 m/s²)

<u>t = 13.43 s</u>

6 0
3 years ago
What is the magnitude of component of a vector in<br>right angle to itself, ?​
AlexFokin [52]

Yes, but it's a null vector .So,no vector can have a component at right angle to itself unless it is a zero vector.

5 0
4 years ago
Challenge! A marshmallow is dropped from a 5-meter high pedestrian bridge and 0.83 seconds later, it lands right on the head of
WINSTONCH [101]

a₀).  You know ...
         -- the object is dropped from 5 meters
             above the pavement;
         --  it falls for 0.83 second.

a₁).  Without being told, you assume ...
         -- there is no air anyplace where the marshmallow travels,
             so it free-falls, with no air resistance;
         -- the event is happening on Earth,
            where the acceleration of gravity is  9.81 m/s² .

b).  You need to find how much LESS than 5 meters
       the marshmallow falls in 0.83 second.
    
c).  You can use whatever equations you like.
       I'm going to use the equation for the distance an object falls in
       ' T ' seconds, in a place where the acceleration of gravity is ' G '.

d).  To see how this all goes together for the solution, keep reading:


The distance that an object falls in ' T ' seconds
when it's dropped from rest is

                                 (1/2 G) x (T²) .

On Earth, ' G ' is roughly  9.81 m/s², so in 0.83 seconds,
such an object would fall

                               (9.81 / 2) x (0.83)² = 3.38 meters .

It dropped from 5 meters above the pavement, but it
only fell 3.38 meters before something stopped it.
So it must have hit something that was

                         (5.00 - 3.38)  =  1.62 meters

above the pavement.  That's where the head of the unsuspecting
person was as he innocently walked by and got clobbered.

7 0
3 years ago
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