Suppose A = B"Cm, where A has the dimensions LT, B has dimensions L²T-1, and C has dimensions LT2. Then the exponents n and have the values

Answers

Answer 1

Complete Question:

Suppose [tex]A = B^n C^m[/tex], where A has the dimensions LT, B has dimensions L²T⁻¹, and C has dimensions LT². Then the exponents n and m have the values

Answer:

The value of n = ¹/₅

The value of m = ³/₅

Explanation:

Given dimensions;

A = LT

B = L²T⁻¹

C = LT²

The values of n and m are calculated as follows;

[tex]LT = [L^2T^{-1}]^n[LT^2]^m\\\\L^1T^1 = [L^{2n}T^{-n}]\times [L^mT^{2m}]\\\\L^1 \times T^1 = [L^{(2n+m)}] \times [T^{(-n +2m)}]\\\\1 = 2n + m -----(1)\\\\1 = -n + 2m ----(2)\\\\from \ (1); \ m = 1-2n, \ \ substitute \ the \ value \ of \ m \ in\ (2)\\\\1= -n +2(1-2n)\\\\1 = -n + 2-4n\\\\1-2 = -5n\\\\-1 = -5n\\\\1= 5n\\\\n = \frac{1}{5} \\\\m = 1 - 2n\\\\m = 1 - 2(\frac{1}{5} )\\\\m = 1- \frac{2}{5} \\\\m = \frac{3}{5}[/tex]


Related Questions

When the north poles of two magnets are kept close , they will __________
attract
rotate
repel
remain unaffected

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repel
repel
repel
repel

HELP ASAP!
1. Why do you think it is important for people to know when the tides will be high and/or low?

Answers

Many reasons. Here are a couple:

1.) Water depth for the draft of incoming ships/vessels so they do not run aground.

2.) Distance between sea level and bottom of structures such as bridges for vessels passing underneath.

Two high tides and two low tides occur during every 24-hour period. The predictability of the tides, fast movement of water during the inflow and outflow can provide a source of renewable energy to communities living along the coast.

You want to create a space station that is 50 meters in radius. If you want it to simulate Earth's gravitation, how fast must it go?

Answers

Answer:

w = 0.196 rad / s

Explanation:

To generate an acceleration similar to that of the earth, the station's centripetal acceleration must be equal to the acceleration due to gravity.

               a_c = v² / r = w² r

               a_c = g

we substitute

               g = w² r

               w² = g / r

               w = [tex]\sqrt { \frac{g}{r} }[/tex]

       

let's calculate

               w = √9.8/50

               w = 0.196 rad / s

therefore the station must rotate at that angular velocity so that the acceleration in the outer wall is equal to the ratio of gravity

What made ancient Rome special?

Answers

Answer:

Rome became the most powerful state in the world by the first century BCE through a combination of military power, political flexibility, economic expansion, and more than a bit of good luck. This expansion changed the Mediterranean world and also changed Rome itself.

Explanation:

explain electrostatic force

Answers

Answer:

Electrostatics is a branch of physics that studies electric charges at rest. Since classical physics, it has been known that some materials, such as amber, attract lightweight particles after rubbing. The Greek word for amber, or electron, was thus the source of the word 'electricity'.

6. A car experiences a forward engine force of 2000N. The combined frictional forces acting
on the car are 600 N. If the car is accelerating at 3.0m/s, what is the mass of the car?
Ans: 467 kg
(I need the equation and work of it!!!)

Answers

Answer:

i think

Explanation:

2000N-600N

net force=m.a

1400=m.3.0m/s

1400/30m/s=m

from here u divide using your calculator and i hope the answer you get is 467kg

A student draws a distance verses time graph to describe the motion of a model train. What does a
horizontal section of the graph indicate about the motion of the train?

Answers

Math 2x+125 you welcome

what is the correct equation for calculating kinetic energy?

1. kinetic energy = potential energy - total energy
2. kinetic energy = total energy - potential energy
3. kinetic energy = 1/2 x (total energy + potential energy)
4. kinetic energy = potential + total energy

Answers

Answer:

2. kinetic energy = total energy - potential energy

Explanation:

The total energy of a system is the addition of kinetic and potential energy of the system. Kinetic energy can be regarded as form of energy posses by an object when it's in motion

Total energy = kinetic energy + potential energy

(If we make Kinectic energy the subject of the formula, we have)

kinetic energy = total energy - potential energy

A wave has a frequency of 1000 Hz. If the wavelength is 0.5 m, how fast is the wave
traveling?

Answers

Answer: 1000 Hz · 0,5 m = 500 m/s

Explanation: speed = frequency · wavelength

The work done in lifting a brick of mass 2kg through a height of 5m above the ground will be
(A)2.5J
(B)10J
(C)50J
(D)100J

Answers

Answer:

D. 100 J

Explanation:

Given

Mass (m) = 2 kg

Height (h) = 5 m

Acceleration due to gravity (g) = 10 m/s²

Now

Work done(W)

= m * g * h

= 2 * 10 * 5

= 100 Joule

Hope it will help :)❤

The work done in uplifting a brick having a mass of 2kg along with a height of 5m above ground level would be:

D). 100 J

Given that,

Mass of the brick [tex]= 2Kg[/tex]

Height of the brick [tex]= 5m[/tex]

As we know,

Work Done (W) [tex]= mgh[/tex]

where

m = Mass

g = Acceleration due to gravity

h = height

A.T.Q.

By substituting the given values, we get;

[tex]Work Done (W)[/tex] [tex]= 2[/tex] × [tex]10[/tex] × [tex]5[/tex]            (taking [tex]g = 10 m/s^2[/tex])

[tex]= 100 J[/tex]

Thus, the work done is 100 J and hence, option D is the correct answer.

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Para pagar la entrada al circo y comprar palomitas: Daniela y María van a cooperar con $65.50 cada una y Francisco y Javier con $69.50 cada uno. ¿Cuánto dinero van a reunir?

Answers

Answer:

Reunirán $270.

Explanation:

Para pagar la entrada al circo y comprar palomitas Daniela y María van a cooperar con $65.50 cada una. Entonces para calcular el dinero que van a reunir entre ambas debes sumar lo que aporta cada una:

$65.50 + $65.50= $131

Por otro lado, Francisco y Javier van a cooperar con $69.50 cada uno. De igual manera, para calcular el dinero que van a reunir entre ambos debes sumar lo que aporta cada uno:

$69.50 + $69.50= $139

Para conocer el dinero total recaudado, debes sumar lo que aportan tanto ellas como ellos. Esto es:

$131 + $139= $270

Reunirán $270.

A chemical reaction is the only way to an

A: Element

B: Pure Substance

C: Mixture

D: Solution

Answers

Answer:

B: Pure Substance

Explanation:

3. Given a force of 44 N and an acceleration of 4 m/s?, what is the mass?

Answers

Answer:

m=F/a

= 44/4

 = 11 m

Explanation:

Just use the formula F=ma

Describe the components of the universe.
3-4 sentences

Answers

Answer:

The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.

Explanation:

Answer:

Hey mate....

Explanation:

This is ur answer.....

According the NASA's StarChild Website, "The universe is a vast open space which contains all of the matter and energy in existence. The universe contains all of the galaxies, nebulae, stars, and planets. The exact size of the universe is unknown. Scientists believe the universe is still expanding outward.

The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.

Hope it helps u,

Mark me brainliest plss......

FOLLOW ME! :)

The pressure at the bottom of a lake is 300 000 N/m2 more than at the surface of the lake. The lake is fresh water (density = 1000 kg/m3).

Answers

Answer:

h = 30.61 m

Explanation:

In this problem they indicate the pressure at the bottom of the lake and the density of the water, for which they must ask what is the depth of the lake.

The pressure is given by the expression

           P = [tex]P_{atm}[/tex] + rho g h

           P - P_{atm} = rho g h

       

The gauge pressure value is P- P_{atm} = 3 105 N / m²

          h = [tex]\frac{P - P_{atm}}{ \rho \ g}[/tex]

let's calculate

          h = [tex]\frac{3 \ 10^5}{1000 \ 9.8}[/tex]

          h = 30.61 m

psychology is the study of which kind of human and animal behavior and mental processes?
A. subjective
B. observable
C. imagined

Answers

C. Imagined. Because psychology is the study of human behavior and mind(Imagination)

Explain why white light splits up into the different colours when it goes through a prism

Answers

Answer:

Light splits up into different colors because of the electromagnetic spectrum which makes the light bend, wavelength, and it makes different colors by it :3

Explanation:

:3

If a ball has 300 Joules of potential energy at its highest point, how much kinetic energy will it have at its highest speed?

A; less than 300 Joules

B; more than 300 Joules
C: exactly 300 Joules

D; cannot be determined

Answers

Pállalas PAOKndndAaaaaaa

If a ball has 300 Joules of potential energy at its highest point, Then the kinetic energy is the same at that point i.e exactly 300 Joules. The correct option is (C).

What are kinetic and potential energy?

When a body has a mass of m kg and travels a velocity of v m/s then the kinetic energy is given by,

KE=1/2mv²

And when a body is at a height of h meter from the ground and the mass of the body is m kg, then the potential energy is given by,

PE= mgh

Where g= acceleration due to gravity= 9.81m/s²

At The highest point, the kinetic energy is equal to the potential energy.

i.e at the highest point,

KE=PE

Hence If a ball has potential energy at the highest point is 300J that means the kinetic energy at the point is the same i.e 300J.

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acontainer is filled whith mercury to alevel of 10m whit water to alevel of 8m and whit oil to alevel of 5m the densities oil ,water and mercury are 0.8g/cm³,1g/cm³ and 13.6g/cm³ calculate the total pressure exerted by the liquids at the base​

Answers

Answer:

1450.4 KN[tex]m^{2}[/tex]

Explanation:

Pressure = ρhg

where: ρ is the density of the liquid, h is the height and g the force of gravity.

Total pressure exerted by the liquids at the base = Pressure of oil + Pressure of water + Pressure of mercury

So that,

i. Pressure of oil = ρhg

(ρ = 0.8 g/cm³ = 800 kg/m³)

                        = 800 x 5 x 9.8

                        = 39200

Pressure of oil = 39200 N[tex]m^{2}[/tex]

ii. Pressure of water = ρhg

(ρ = 1 g/cm³ = 1000 kg/m³)

                                      = 1000 x 8 x 9.8

                                     = 78400

Pressure of water = 78400 N[tex]m^{2}[/tex]

ii. Pressure of mercury = ρhg

(ρ = 13.6 g/cm³ = 13600 kg/m³)

                      = 13600 x 10 x 9.8

                      = 1332800

Pressure of mercury = 1332800 N[tex]m^{2}[/tex]

So that,

Total pressure exerted by the liquids at the base = 39200 + 78400 + 1332800

                                               = 1450400

                                               = 1450.4 KN[tex]m^{2}[/tex]

Total pressure exerted by the liquids at the base is 1450.4 KN[tex]m^{2}[/tex].

1. What is the speed of an object and the direction it is moving?

Answers

Answer:

Velocity

Explanation:

Which of these is NOT a line on the tennis court?

Base line

Service line

Side line

Front line

Answers

Answer:

The answer would be Front Line

The base line, service line, and the side lines are the part of the tennis court however front line is not a part of the tennis court. Thus, the correct option is D.

What are the specifications of Tennis Court?

A tennis court is a 78ft long court, with a service line of 21ft from the net. The courts for singles tennis matches are 27ft wide in dimension, while the doubles matches courts are 36ft wide. The total playing area in tennis for a singles court is 2,106ft² and 2,808ft² for a doubles court.

The basic and important parts of a tennis court in both singles and doubles are the baseline, the center mark, the sidelines, the service lines, and the service boxes. The baseline is the boundary line at the ends of the tennis court, and the sidelines are the lines which mark the boundary line between in-bounds and out-of-bounds for both singles and doubles play.

Therefore, the correct option is D.

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please can someone please help me with this!!
i’ll give 15 points!!

Answers

Answer:

Explanation:

Time is a major factor in how much force is being applied.  so when there are crumple zones. they crumple and that takes a little longer in an impact and hence lowers the forces considerably   :)   safety first  

how do you find the kinetic energy of an object? ​

Answers

Answer:

KE = 1/2 * m * [tex]v^{2}[/tex]

Explanation:

use the formula:

KE = 1/2 * m * [tex]v^{2}[/tex]

KE = kinetic energy in joules (J)

m = mass in kg

v = velocity in m/s

Answer:

KE=1/2mv^2

Explanation:

I hope this helps it's just the formula.

KE=1/2×mass×velocity^2

A box moves 1000 m horizontally as a force F 2000 N is applied downward. What is the work done on the box by F during the displacement?​

Answers

Answer:

D. OJ

Explanation:

In which activities is speed helpful? Running track Swimming Riding in a bike race All of the above

Answers

Answer:

all of the above

Explanation:

they all require speed to beat

Answer:

All of the above

Explanation:

if your taking any kind of quiz or even review and there's a choice of "all of the above" it's always right because that answer won't be on every question!

Flexibility training helps reduce the range of motion of your joints and muscles.
True or false

Answers

False, it should say improve

Calculate the momentum of a 1000 kg sports car traveling at 30 m/s.

Answers

Answer:

30,000 kgm/s

Explanation:

m = 1000 kg

v = 30 m/s

Plug those values into the equation:

p = mv

p = (1000 kg)(30 m/s)

p = 30,000 kgm/s

The momentum of a 1000 kg sports car traveling at 30 m/s is 30,000 kgm/s.Linear momentum = Mass x Speed.

What is the momentum?

The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum.

Mass of car = 1000 kg

Speed by which car moves = 30 m/s. The momentum of the car =?

Recall that:

Linear momentum = Mass x Speed

= 1000 kg x 30 m/s.

= 30,000 kgm/s

The sum of an object's mass (m) and velocity (v) is known as the object's linear momentum. An equation can be used to explain this relationship. Momentum is defined as the body's mass times its velocity. P = m times v, etc.

Therefore,  the momentum of a 1000 kg sports car is 30,000 kgm/s if travels at 30 m/s.

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What does it mean for two parameters to be inversely proportional?

Answers

that means the parameter over another

Explanation:

that is when you say a parameter is inversely proportional to another it means what ever happens to the first parameter the opposite happens to the other parameter

a rail car moving at 10m/s collides with and connect to another stationary car. What is their final velocity?
Assume they have the same mass

Answers

Answer:

read this it might help some

When a moving object collides with a stationary object of identical mass, the stationary object encounters the greater collision force. When a moving object collides with a stationary object of identical mass, the stationary object encounters the greater momentum change.

Explanation:

A snowboarder travels 17 m [N], 25 m [S], then 33 m [N]. Choose the correct
statement about the snowboarder's motion *
A. The snowboarder has a larger distance travelled than displacement
B. The snowboarder has a larger displacement than distance travelled
C. The snowboarder has more inertia after the 25 m trip than after the 17 m trip
D. The snowboarder has constant acceleration

Answers

The best answer to go with is b
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