prove that vector addition obeys commutative and associative laws​

Answers

Answer 1

the order of vector addition doesn't affect the resultant vector and grouping or order of pair doesn't effect the sum.


Related Questions

¿Cuántos electrones por segundo pasan a través de una sección de alambre que lleva una corriente de 0.70 A.?

Answers

Answer:

The number of electrons flowing per second is [tex]4.375\times 10^{18}[/tex].

Explanation:

How many electrons per second pass through a section of wire that carries a current of 0.70 A.?

Current, I = 0.7 A

time, t = 1 s

According to the definition of current, let the charge is q.

q = I t

q = 0.7 x 1 = 0.7 C

Let the number of electrons is n.

[tex]n =\frac{q}{e}\\\\n = \frac{0.7}{1.6\times 10^{-19}}\\\\n = 4.375\times 10^{18}[/tex]

Gas to liquid with explanation on the basis of kinetic model and condensation point.​

Answers

Answer:

Explanation:

1)Melting:

Melting is the process by which a substance changes from the solid phase to the liquid phase. ... Melting occurs when the internal energy of a solid increases, usually through the application of heat or pressure, such that the molecules become less ordered.

2) liquefication:

In physics and chemistry, the phase transitions from solid and gas to liquid (melting and condensation, respectively) may be referred to as liquefaction. The melting point (sometimes called liquefaction point) is the temperature and pressure at which a solid becomes a liquid.

3) vaporization:

Vaporization, conversion of a substance from the liquid or solid phase into the gaseous (vapour) phase. If conditions allow the formation of vapour bubbles within a liquid, the vaporization process is called boiling. Direct conversion from solid to vapour is called sublimation.

4) Sublimation occurs as molecules of a substance in the solid state go to the vapor state directly, rather than through the liquid state. ... ⭕In terms of the kinetic molecular theory, we know that molecules are in constant random motion, even when the substance is below the melting point.

A car initially traveling at 60 km/h accelerates at a constant rate of 2.0 m/s2. How much time is required for the car to reach a speed of 90 km/h

Answers

Answer:

Time, t = 4.165 seconds.

Explanation:

Given the following data;

Initial velocity = 60 km/h

Final velocity = 90 km/h

Acceleration = 2 m/s²

Conversion:

60 km/hr to meters per seconds = 60*1000/3600 = 60000/3600 = 16.67 m/s

90 km/hr to meters per seconds = 90*1000/3600 = 90000/3600 = 25 m/s

To find the time, we would use the first equation of motion;

[tex] V = U + at[/tex]

Where;

V is the final velocity.

U is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Making time, t the subject of formula, we have;

[tex] t = \frac{V - U}{a}[/tex]

Substituting into the equation, we have;

[tex] t = \frac{25 - 16.67}{2}[/tex]

[tex] t = \frac{8.33}{2}[/tex]

Time, t = 4.165 seconds.

How long will it take a car to acceleration from 15.2ms to 23.Ms if the car has an average acceleration of 3.2m\s

Answers

Answer: 2.43 s

Explanation:

Initial velocity is [tex]u=15.2\ m/s[/tex]

Final velocity [tex]v=23\ m/s[/tex]

Average acceleration is [tex]a_{avg}=3.2\ m/s[/tex]

Average acceleration is change in velocity in the given amount of time

[tex]\therefore a_{avg}=\dfrac{v-u}{t}\\\\\Rightarrow 3.2=\dfrac{23-15.2}{t}\\\\\Rightarrow t=\dfrac{7.8}{3.2}\\\\\Rightarrow t=2.43\ s[/tex]

Thus, 2.43 s is required to acquire that average acceleration with 23 m/s velocity .

Which statement best describes how pigments affect what colors humans
see?
A. Pigments separate white light into different colors based on
wavelengths. Humans see colors within a certain range of
wavelengths.
B. Pigments emit light in different colors. Humans see the color that
a certain pigment emits.
C. Pigments reflect some wavelengths of visible light and absorb
others. Humans see the absorbed wavelengths.
D. Pigments reflect some wavelengths of visible light and absorb
others. Humans see the reflected wavelengths.

Answers

Answer:

C

Explanation:

Pigments reflect some wavelength of visible light and absorb

A car going around a curve with a radius of 15m experiences a centripetal acceleration of 2.5 m/s2. How fast is the car going?

0.17m/a

38 m/s

6.1 m/s

6.0 m/s

Answers

Answer:

Explanation:

The formula for centripetal acceleration is

[tex]a_c=\frac{v^2}{r}[/tex] . Filling in:

[tex]2.5=\frac{v^2}{15}[/tex] and

[tex]v=\sqrt{2.5(15)}[/tex] so

v = 6.1 m/s

A body of mass 8000 moving with a velocity of 2.5m/s collides with a stationery twice the mass of the first body. After impact the mass moves to 1.0m/s Find the speed of the first body.​

Answers

Answer:

the final speed of the first ball is 0.5 m/s

Explanation:

Given;

mass of the first body, m₁ = 8000 kg

mass of the second body, m₂ = 16,000 kg

initial velocity of the first body, u₁ = 2.5 m/s

initial velocity of the second body, u₂ = 0

final velocity of the stationary mass, v₂ = 1 m/s

let the final velocity of the first body = v₁

Apply the principle of conservation of linear momentum;

m₁u₁  +  m₂u₂  = m₁v₁   +   m₂v₂

8000(2.5)  +   (16,000 x 0)   =   8000v₁   +  16,000 (1)

20,000  +  0 = 8000v₁  +  16,000

8000v₁ = 4000

v₁ = 4000/8000

v₁ = 0.5 m/s

Therefore, the final speed of the first ball is 0.5 m/s

how much of the electro magnetic spectrum is visible to us​

Answers

Answer:

The entire rainbow of radiation observable to the human eye only makes up a tiny portion of the electromagnetic spectrum – about 0.0035 percent. This range of wavelengths is known as visible light.

Explanation:

Please Mark me brainliest

Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s2 during

Answers

Complete question is;

Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s² during one of the running portions, what is her final velocity at the end of the 100.0 m? Round your answer to the nearest tenth.

Answer:

6.5 m/s

Explanation:

We are told that she is walking at 1.4 m/s and accelerates at 0.20 m/s².

Thus;

Initial velocity; u = 1.4 m/s

Acceleration; a = 0.2 m/s²

Distance; s = 100 m

From Newton's equation of motion, we know that;

v² = u² + 2as

Where v is final velocity.

Thus;

v² = 1.4² + 2(0.2 × 100)

v² = 41.96

v = √41.96

v ≈ 6.5 m/s

Space weather is dominated by a stream of charged particles emanating from the sun's magnetic field, known as ______________.

Answers

Answer:

solar wind

Explanation:

This stream of particles emanating from sun's magnetic field is known as the solar wind.

The gas and particles come from the Sun's hot outer atmosphere, called the corona. These particles from the corona are charged with electricity.

in a chemical equation, where do the products appear

Answers

Answer:

products would appear after the raw materials

Explanation:

raw material + raw material = product (anything deriving from combining two materials)

The large reservoir of comet nuclei far beyond Pluto, from which we believe new long-period comets come into the inner solar system, is called:

Answers

Answer:

Oort cloud

Explanation:

The large reservoir of comet nuclei far beyond Pluto, from which we believe new long-period comets come into the inner solar system, is called Oort cloud.

The comets hich have the large periods that means more than 200 years to orbit the Sun generaly comes from Oort cloud hich is also knon as the cometary cloud.

According to Coulomb’s Law, what happens to the force when the distance increase between 2 particles?

Answers

Answer:

The size of the force varies inversely as the square of the distance between the two charges. Therefore, if the distance between the two charges is doubled, the attraction or repulsion becomes weaker, decreasing to one-fourth of the original value.

Explanation:

Coulomb’s law, mathematical description of the electric force between charged objects. Formulated by the 18th-century French physicist Charles-Augustin de Coulomb, it is analogous to Isaac Newton’s law of gravity.

Both gravitational and electric forces decrease with the square of the distance between the objects, and both forces act along a line between them. In Coulomb’s law, however, the magnitude and sign of the electric force are determined by the electric charge, rather than the mass, of an object. Thus, charge determines how electromagnetism influences the motion of charged objects. Charge is a basic property of matter. Every constituent of matter has an electric charge with a value that can be positive, negative, or zero.

Coulomb's Law says that the force between 2 charges is proportional to the product of the quantities of charge on each and inversely proportional to the square of the distance between them. The formula for Coulomb's Law is [tex]F=k\frac{q_{1}q_{2} }{r^{2} }[/tex].

[tex]F[/tex] is the force.

[tex]k[/tex] is the Coulomb's constant ([tex]8.987*10^{9} \frac{Nm^{2} }{C^{2} }[/tex]).

[tex]q_{1}[/tex] is the electric charge of object 1.

[tex]q_{2}[/tex] is the electric charge of object 2.

[tex]r[/tex] is the distance between the two charges.

Electric force is inversely proportional to ([tex]r^{2}[/tex]) instead of ([tex]r[/tex]). As the distance between charges increases, the electric force decreases by a factor of [tex]\frac{1}{r^{2} }[/tex].

4. Which of the following statement describes the particle model.
A. The average kinetic energy of the particles changes easily
B. All matter is made up of large triangular particles
C. There are no spaces between the particles
D. The average kinetic energy of all the particles remains constant

E.Other:​

Answers

I think it is A
Its not sure tho

A 1000 kg dragon is at rest sleeping in outer space. A 50 kg unicorn runs into the dragon with a velocity of 600 ms . The final velocity of the dragon is 40 ms . What is the final velocity of the unicorn?

Answers

Answer:

Explanation:

This is a Law of Momentum Conservation problem where, in particular, our problem looks like this:

[tex][m_dv_d+m_uv_u]_b=[m_dv_d+m_uv_u]_a[/tex] in other words, the momentum before they collide has to be equal to the momentum after they collide. Knowing that the dragon is initially at rest:

[1000(0) + 50(600)] = [1000(40)m + 50v] and

0 + 30,000 = 40,000 + 50v and

-10,000 = 50v so

v = -200 m/s or

200 m/s in the direction opposite to its initial direction

Capacitance (C) is measured in farads, where 1 farad is equivalent to 1 coulomb per volt. Resistance (R) is measured in ohms, and 1 ohm is equal to 1 volt per ampère. The coulomb is defined as the amount of charge passing when a current of 1 ampère flows for 1 second. What is the unit of RC expressed in its simplest form?

Answers

Ahhh ok so much better now I got a good day amp a Relationship was the day amp the

When fundamental units are combined, they result in derived units. RC (which means Resistance Capacitance) is a derived unit and its unit in the simplest form is Coulomb per Ampere (C/A)

Given that:

Capacitance (C) [tex]\to[/tex] Farads (f)

and

[tex]1f = 1\frac CV[/tex] ----- 1 farad = 1 capacitance per volt

Resistance (R) [tex]\to[/tex] Ohms [tex]\Omega[/tex]

[tex]1 \Omega = 1\frac{V}{A}[/tex]

The unit of RC is the product of the unit of R by the unit of C.

i.e.

[tex]RC = 1f \times 1\Omega[/tex]

Substitute [tex]1f = 1\frac CV[/tex]

[tex]RC = 1\frac CV \times 1\Omega[/tex]

Substitute [tex]1 \Omega = 1\frac{V}{A}[/tex]

[tex]RC = 1\frac CV \times 1\frac VA[/tex]

Cancel out volts (V)

[tex]RC = 1\frac CA[/tex]

[tex]\frac CA[/tex] means Coulomb per Ampere

Hence, the unit of RC is Coulomb per Ampere.

Read more about units at:

https://brainly.com/question/10167613

¿ Sobre que superficie se desplazara mas rápidamente un tejo, sobre cemento o sobre cerámica? ¿por que?

Answers

Answer:

cemento potque es plano

A boat of mass 225 kg drifts along a river at a speed of 21 m/s to the west.
What impulse is required to decrease the speed of the boat to 15 m/s to the
west?
A. 3375 kg•m/s west
B. 1350 kg•m/s east
C. 1350 kg•m/s west
D. 3375 kg•m/s east

Answers

Explanation:

I=MV

=225×(15- 21)

=225×-5

Answer:

B. 1350 kg•m/s east

Explanation:

........

1.The distance moved by objects in a given interval of time can help us to decide which one is faster or slower. Do you agree with this statement?

Answers

Answer:

The rate of change of distance is defined as speed.

Explanation:

The speed is defined as the rate of change of distance.

Speed = distance/ time

When we know the distance and the time, we get the value of speed. So, e know that who is moving fast or slow.

hen a graph is pltted beteen the distance and time, the slope of the graph gives the value of speed. So, by checking the slopes, hoseslope ismore, the speed is more and thusit is moving faster.

So, i agree with the statement.  

7. Explain how sound waves striking the tympanic membrane result in movement of fluids in the inner ear.

Answers

Answer:

This has been explained below.

Explanation:

Sound waves move along the auditory canal and when moving they hit the tympanic membrane making it to vibrate. this vibration would make the 3 ossicles to move. the tympanic membrane is sticked to the auditory ossicles and the stapes are joined to the oval window. as movements occur in the oval window, there would be motions happening in the cochlea

the bodies in this universe attract one another name the scientist who propounded this statement​

Answers

Answer:

It was proposed by Isaac Newton

Explanation:

The law of universal attraction of expression

          F = [tex]G \ \frac{m_1m_2}{ r^2}[/tex]G m1m2 / r ^ 2

where G is a constant, m₁ and m₂ are the masses of the bodies and r the distance between them.

It was proposed by Isaac Newton

With this law Newton explained that the force that pulls the moon towards the earth is the same as that which attracts an apple towards the earth

A stone is dripped into the well 44 meter dip the spalash in heard in 3.12 s find speed of sound in air.

Answers

Answer:

The speed of sound is 366.67 m/s.

Explanation:

height, h = 44 m

total time, T = 3.12 s

Let the time taken by the stone to hit the water is t.

use second equation of motion

[tex]h = u t + 0.5 gt^2\\\\44 = 0.5\times 9.8 t^2\\\\t = 3 s[/tex]

Time taken by sound to g up

t'=T - t =  3.12- 3 = 0.12 s

The speed of sound is

[tex]v = \frac{h}{t'}\\\\v = \frac{44}{0.12}\\\\v = 366.7 m/s[/tex]

3.00 m^3 of water is at 20.0°C.
If you raise its temperature to
60.0°C, by how much will its
volume expand?
Water
B = 207•10-6 0-1
(Unit = m^3)

Answers

Answer:

[tex]\triangle V = 0.02484m^3[/tex]

Explanation:

Given

[tex]V_1 = 3.00m^3[/tex] --- initial volume

[tex]T_1 = 20.0^oC[/tex] --- initial temperature

[tex]T_2 = 60.0^oC[/tex] --- final temperature

[tex]\gamma = 207*10^{-6[/tex] ---  coefficient of thermal expansion:

Required

The change in volume

To do this, we make use of cubic expansivity formula

[tex]\triangle V = \gamma * V_2 * (T_2 - T_1)[/tex]

So, we have:

[tex]\triangle V = 207 * 10^{-6} * 3.00 * (60.0 - 20.0)[/tex]

[tex]\triangle V = 207 * 10^{-6} * 3.00 * 40.0[/tex]

[tex]\triangle V = 0.02484m^3[/tex]

The volume will expand by [tex]0.02484m^3[/tex]

what is the efficiency of an engine that dies 288 J of work and exhausts 72 J of heat while taking 360 J of heat?

Answers

Answer:

80%

Explanation:

Energy Input: 360 J

Energy Output: 288 J

e= 288/360 × 100

e= 80%

Alternatively,

e= W(total)/ Q (in)

e= 288/360

e=0.8×100

e=80%

Which of the following is NOT TRUE about food irradiation?
O It is practiced around the world.
O It leaves food mildly radioactive.
It is effective in killing microorganisms.
o It destroys microorganisms without cooking.

Answers

Answer:

It is practiced around the world .

The statement, that is, food irradiation leaves food mildly radioactive is not true.  

A technology, which uses ionizing radiation to improve safety and extend the shelf life of foods by eliminating and reducing insects and microbes is known as food irradiation.  

• Irradiation is used in canning fruits and vegetables and pasteurizing milk to make food safer for consumption.  

• Irradiation does not compromise nutritional quality, makes food radioactive, or change the texture, text, or appearance of food. The effect of irradiation is so minimal that it is not easy to identify that whether the food is irradiated.  

• Food irradiation has been approved in over forty countries and is almost practiced globally.  

Thus, the statement, that is, it leaves food mildly radioactive is incorrect.  

To know more about:

https://brainly.com/question/19586033

A dart is thrown horizontally with an initial speed of 19 m/s toward point P, the bull's-eye on a dart board. It hits at point Q on the rim, vertically below P, 0.19 s later. (a) What is the distance PQ

Answers

Answer:

Explanation:

The dart will go forward horizontally with velocity of 19 m/s. It will also fall downwards with initial velocity of zero and gravitational acceleration of 9.8 m/s².

Distance PQ covered by the dart can be calculated using the following formula.

s = ut + 1/2 at²

u is initial velocity , a is acceleration and t is time.

Putting the values

s = 0 + 1/2 x 9.8 x .19²

= .1769 m

= 17.69 cm.

Which contributions did Galileo make to the model of the solar system? Select two options.a mathematical model for the orbits of the planetsscientifically accurate data on planetary orbitsdata that showed that planets reflected sunlight similar to Earth’s moonthe idea that stars are other suns that do not moveobservations of the moons of Jupiter rotating around the gas giant

Answers

Answer:

Data that showed that planets reflected sunlight similar to Earth's moon

Observations of the moons of Jupiter rotating around the gas giant

Explanation:

Two of Galileo's contributions to the model of the solar system which he was able to observe with the aid of a early version of the modern telescope which he built himself, following the invention of the 'spyglass' are;

1) The phases of Venus motion round the Sun which is similar to the motion of the moon round the Earth that showed that planets in orbit of the Sun reflected sunlight like the Moon

2) The four moons that rotate around Jupiter.

Answer:

it C and E or 3 and 5

Explanation:

The reservoir stores 6 500 000 m3 of water. The density of the water is 998 kg/m3. Calculate the mass of water in the reservoir. Give your answer in standard form.

Answers

Answer:

Mass = 64,870,000,000 kilograms

Explanation:

Given the following data;

Density = 998 kg/m³

Volume = 6,500,000 m³

To find the mass of water in the reservoir;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

Density = mass/volume

Making mass the subject of formula, we have;

Mass = density * volume

Mass = 998 * 6,500,000

Mass = 64,870,000,000 kilograms

If the universe is infinite, then how come there are things disappearing from the horizon? I was at a point in this video (TRUE Limits Of Humanity from Kurzgesagt) about true limits of humanity, and the narrator mentioned that (04:12) "...there is a cosmological horizon around us. Everything beyond it, is traveling faster, relative to us, than the speed of light. So everything that passes the horizon is irretrievably out of reach forever and we will never be able to interact with it again." Are they talking about how galaxies passing the horizon are physically absent, or just visually aren't there and we are unable to interact with them?

Answers

Answer:

The big rip theory

Explanation:

      I believe what you are referring to is the big rip theory, in which the universe expands faster than the speed of light Kurzgesagt refers to it as a "horizon" but in reality it's a little more complicated than that. Eventually the expansion of the universe will accelerate far beyond the speed of light creating space between molecules until eventually all matter is fleeting and the entire universe is an endlessly vast cosmic void with not but the occasion molecule left from a time when things weren't so lonely.

help me daddyz Alice did an experiment to find the relationship between the angle at which a ray of light strikes a mirror and the angle at which the mirror reflects the light. She placed a ray box in front of a mirror. She changed the angle at which the light from the ray box struck the mirror and noted the corresponding angle at which the mirror reflected the light. Which of the following is the control variable in this experiment? The ray box used as the source of light The direction along which the light moves Angle at which the light from the ray box strikes the mirror Angle at which the mirror reflects the light from the ray box

Answers

Answer:

The ray box used as the source of light

Answer: its A

Explanation: i just did the test and got it right also known. The ray used as the source of light

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