the magnitudes of 2 vectors a and b are 12 units and 8 units respectively. what are the largest and smallest possible values for the magnitude of the resultant vector r

Answers

Answer 1

When vector A is oriented in the same direction as vector B, the resultant's greatest magnitude is A + B = 12 + 8 = 20 units. When vector A is oriented in the direction opposite to vector B, the resultant vector has its least magnitude, A - B = 12 - 8 = 4 units.

What is a resultant vector?

A vector that produces the aggregate impact of all other vectors is known as a resultant vector. The resultant vector is what we get when we combine two or more vectors. The head-to-tail convention, which is defined as "joining the tail of the first vector with the head of the second vector to give another vector whose head is joined with the head of the second vector and tail of the first vector," can be used to geometrically add vectors by drawing them on a common scale.

Any number of vectors can be added by extending the procedures for obtaining a vector's resultant or adding more than two vectors.

R=A+B+C---

Assume there are three vectors: A, B, and C. These vectors must be drawn in accordance with the head-to-tail rule so that the heads of each vector line up. As a result, the resultant vector is as follows:

R=A+B+C

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Related Questions

a student is measuring the effects of an electric circuit on a compass, and he is testing to see if increasing the current will cause the compass needle to change its direction faster. he does one trial using a 9-volt battery and another trial using a 1.5-volt battery. he takes accurate data. based on good experimental design, what would improve his experiment? he should add a non working compass to act as a control. he should add a non working compass to act as a control. he should use batteries of the same voltage but from different manufacturers to show he has used different variables. he should use batteries of the same voltage but from different manufacturers to show he has used different variables. he should repeat the test with three additional batteries of varying voltages to demonstrate the reproducibility of results. he should repeat the test with three additional batteries of varying voltages to demonstrate the reproducibility of results. he should use only one battery but do several trials, using different circuit designs to ensure he has appropriate test groups. he should use only one battery but do several trials, using different circuit designs to ensure he has appropriate test groups.

Answers

He should repeat the test with three additional batteries of varying voltages to demonstrate the reproducibility of results. he should use only one battery but do several trials, using different circuit designs to ensure he has appropriate test groups - this can improve the student's experiment.

What is reproducibility?

Reproducibility, otherwise called replicability and repeatability, is a significant rule supporting the logical technique. For the discoveries of a review to be reproducible implies that results got by an examination or an observational review or in a factual investigation of an informational index. Albeit numerous organic researchers instinctively accept that the reproducibility of a trial implies that it tends to be repeated, Drummond makes a differentiation between these two terms. Informational indexes are huge and calculations are more refined. This requests reproducibility to decrease the mistake and predisposition when people are added to the course of information investigation.

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A 50.5 N object is in free fall.
What is the magnitude of the net force
which acts on the object?

Answers

Answer:

-49.49

Explanation:

If there’s no air resistance then the only thing acting on the object is the force of gravity which is mass times gravity. And to get mass all we have to do is divide 50.5/10 then times that by -9.8 since that’s the force of gravity.

Answer: The answer would be 50.5 N.

Explanation: It’s because there’s no air resistance.

Which of the following is Ohm's Law?
OR=xR
O1-V/R
OVR/
OV-/R

Answers

Answer:

I=V/R

Explanation:

Ohm's law gives the mathematical relationship between, current, voltage and the resistance of the circuit. Its mathematical form is given by :

V = IR ....(1)

V = voltage (in volts)

I = current (in Ampere)

R = resistance (in ohms)

Equation (1) can be rewritten as :

[tex]I=\dfrac{V}{R}[/tex]

Hence, the correct relation is I=V/R.

Which is an example of kinetic energy?

a. an archer's bow with the string drawn back
b.river water at the top of a waterfall
c. a Ferris wheel before it starts turning
d.a crumb falling from a table.

Answers

Answer:

it's a

Explanation:

Answer:

I believe its D!

Explanation:

Kenetic energy is motion

find the density, in g/cm3 , of a metal cube with a mass of 50.3 g and an edge length (l) of 2.65 cm . for a cube v

Answers

The density in g/cm³ of the cube is 2.70 g/cm³.

We need to know about density to solve this problem. Density is a unit that measures how dense the object is. It can be determined as mass divided by volume

ρ = m / V

where ρ is density, m is mass and V is volume.

From the question above, we know the cube have:

l = 2.65 cm

m = 50.3 gram

Find the volume of cube

V = l³

V = 2.65³

V = 18.61 cm³

Determine the density

ρ = m / V

ρ = 50.3 / 18.61

ρ = 2.70 g/cm³

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Which statement accurately describes nutritional dietary supplements?
A. Supplements labeled “natural” are safe for all people.
b. Supplements labeled “natural” may interact negatively with medications.
c.Over-the-counter supplements are safe at almost any dose.
d.Over-the-counter supplements are required to have proven health benefits.

Answers

Answer:

its b

Explanation:

Supplements labeled “natural” may interact negatively with medications. The correct option is B.

What is nutritional dietary supplement?

Dietary supplements are substances that you may use to supplement your diet with nutrients or to reduce your risk of health problems such as osteoporosis or arthritis.

Dietary supplements are available in pill, capsule, powder, gel capsules and tablets, extracts, or liquid form.

Dietary supplements are available in a variety of forms, including tablets, capsules, gummies, powders, drinks, and energy bars.

Vitamins D and B12 are popular supplements, as are minerals like calcium and iron, herbs like echinacea and garlic, and products like glucosamine, probiotics, and fish oils.

Because many supplements contain active ingredients that have strong effects in the body, herbal products can pose unexpected risks. Natural supplements may have negative interactions with medications.

Thus, the correct option is B.

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someone please help me with this work

Answers

Answer:

It would kill her

Explanation:

Because when he first layed on the nails the nails weren’t up yet

Water can’t stick to itself. True or false?

Answers

Answer:ture

Explanation:

6. Different between
air Pressure and liquid pressure?? ​

Answers

Answer:

The difference is that water is an incompressible fluid — its density is almost constant as the pressure changes — while air is a compressible fluid — its density changes with pressure. Atmospheric pressure is the pressure exerted on a surface by the weight of the atmosphere (a compressible fluid) above it.

Explanation:

The wind exerts a force of 500N, South on a sailboat, while the water exerts a force of100N East on the sailboat.

Answers

Answer:

Net force = 509.90 N

Explanation:

Given that,

Force exerted by wind is 500 N South on a sailboat.

The force exerted by water is 100 N on the sailboat.

Two forces are acting at an angle of 90 degrees. We can find the net force acting on the sailboat. Let it is F.

[tex]F=\sqrt{500^2+100^2} \\\\=509.90\ N[/tex]

So, the net force on the sailboat is 509.90 N.

Please I need help ill give u 50 points

Answers

Answer:

trasvere wave

Explanation:

first one

ANSWER THIS FOR BRAINLIEST CROWN ITS SO EASY!

Answers

Answer:

true

Explanation:

Inertia. Sometimes this first law of motion is referred to as the law of inertia. Inertia is the property of a body to remain at rest or to remain in motion with constant velocity.

hope you will like explanation and give me brainlist

what phenomenon is applied in the drawing of kerosene by the wicks of a kerosene stove.

Answers

Capillarity phenomenon is applied in the drawing of kerosene by the wicks of a kerosene stove.

A liquid's ability to flow through small openings without the aid of outside forces is known as capillarity. Cotton or cotton threads make up the majority of the wicks.

The process of a liquid flowing in a small space without the aid of, or even in opposition to, any outside forces like gravity is known as capillary action.

Surface tension causes a liquid in a capillary tube to have the inclination to rise or descend, which is known as capillarity. the uses of capillarity. 1. Even a tall tree uses the capillary rise to give water to the leaves at the top.

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A projectile has an initial horizontal velocity of 34.0 M/s at the edge of a roof top. Find the horizontal and vertical components of its velocity after 5.5s

I need shown work !

Answers

Answer:

[tex]v_x=34 m/s[/tex]

[tex]v_y=53.9\ m/s[/tex]

Explanation:

Horizontal Launch

When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled by gravity until it eventually hits the ground.

The horizontal component of the velocity is always constant because no acceleration acts in that direction, thus:

vx=v

The vertical component of the velocity changes in time because gravity makes the object fall at increasing speed given by:

[tex]v_y=g.t[/tex]

The horizontal component of the velocity is always the same:

[tex]v_x=34 m/s[/tex]

The vertical component at t=5.5 s is:

[tex]v_y=9.8*5.5=53.9[/tex]

[tex]v_y=53.9\ m/s[/tex]

An electric toaster has a resistance of 12 ohms what current will it draw from a 120v supply

Answers

Answer: The Answer is 10 Ampere

Explanation:

The Formula

Resistance= Voltage ÷ current

Current= Resistance÷ current

Resistance= 12 ohms

Potential difference=120volts

hence Current= 10 Ampere

Hope it helps please leave a like if u are satisfied

bye

Review. For a certain type of steel, stress is always proportional to strain with Young's modulus 20 × 10¹⁰ N/m² . The steel has density 7.86× 10³kg / m³. It will fail by bending permanently if subjected to compressive stress greater than its yield strength бy = 400MPa. A .rod 80.0cm long, made
of this steel, is fired at 12.0 m/s straight at a very hard wall.(d) the strain

Answers

The strain in the rod is [tex]2.37\times 10^{-3}[/tex]

Given:

Young's modulus, Y = [tex]20 \times 10^{10}\;N/m^{2}[/tex]

Steel density, [tex]\rho = 7.86 \times 10^{3}\;kg/m^{3}[/tex]

Length of the rod, L = 80 cm = 0.800m

The speed of the wave in the rod is,

[tex]$v = \sqrt{\frac{Y}{\rho}} = \sqrt{\frac{20\times 10^{10}\ \mathrm{N/m^2}}{7.86\times 10^3\ \mathrm{kg/m^3}}} = 5044\ \mathrm{m/s}$[/tex]

Hence the time taken by the wave to travel the end of the rod is,

[tex]$t=\frac{L}{v} = \frac{0.800\ \mathrm{m}}{5044\ \mathrm{m/s}} = 1.58\times 10^{-4}\ \mathrm{s}$[/tex]

The velocity of the rod is, [tex]$v_r = 12.0\ \mathrm{m/s}$[/tex]

The other end will keep moving after the front end hits the wall until the wave reaches the other end, given the period determined by the above problem.

As a result, before the wave reaches the end of the rod, it has traveled a distance of

[tex]$\Delta L = v_r t = (12.0\ \mathrm{m/s}) (1.58\times\ \mathrm{s}) = 1.90\times 10^{-3}\ \mathrm{m} = 1.90\ \mathrm{mm}$[/tex]

The strain in the rod is given by,

[tex]$\frac{\Delta L}{L} = \frac{1.90\times 10^{-3}\ \mathrm{m}}{0.800\ \mathrm{m}} = 2.37\times 10^{-3}[/tex]

Hence, the strain in the rod is [tex]2.37\times 10^{-3}[/tex].

What is strain?

In terms of physics, strain is defined as the fractional modification of configuration.

A system's reaction to an applied stress is called a strain, according to 2. A force that loads a material results in a stress that leads to deformation. Formula for a strain

Change in configuration equals strain first arrangement

It is a dimensionless quantity that lacks a unit.

Change in object size / original object size is known as strain.

It is a quantity without units or dimensions.

Strain kind.

Object length change divided by starting object length equals longitudinal strain.

L/L stands for longitudinal strain.

Change in object volume divided by starting object volume equals longitudinal strain

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what's newtons second law​

Answers

Newton's Second Law of Motion states "The rate of change of momentum of a body is directly proportional to the applied unbalanced force in the direction of force".

What are some other examples of scientific knowledge that must have resulted from indirect evidence?

Answers

Answer:

The atomic model, the structure of the solar system, and the theory of black holes are examples of models created using indirect evidence.

Explanation:

I have no explanation sorry.

Indirect evidence is based on inference. The atomic structure, the structure of the solar system, and the theory of black holes are all based on indirect evidence.

In studying the structure of the atom, we do not directly observe the sub-atomic particles rather we draw inferences from several experiments and make conclusions. This is indirect evidence.

The solar system can be studied using several astronomical instruments that aid us in making useful inferences regarding the solar system.

The weight of evidence that substantiate the existence of black holes have also been amassed through indirect evidence.

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A force of 15N is exerted on an area of 0.1 m squared. what is the pressure

Answers

Answer:

1The force is with u. Lol no Idea if this is correct sry if u fail. I go must now

A variable is defined as a___ that can have ____than one single value.

Answers

Answer:

item/object; more

Explanation:

A variable is defined as an object or item that can have more than one single value.

A variable is defined as a quantity that can have more than one single value.

In the context of mathematics and science, a variable is a symbol or quantity that can change or vary. It represents an unknown or changing value that can take on different values in different situations or scenarios. Variables are used to describe relationships, equations, and patterns in various fields such as mathematics, physics, economics, and more.

Variables are an essential concept in scientific research and experimentation. They allow scientists to investigate how changes in one factor can affect another factor. In an experiment, variables are typically categorized into two main types: independent variables and dependent variables. The independent variable is the one that the researcher manipulates or controls to observe its effect on the dependent variable, which is the outcome being measured.

For example, in a study investigating the effects of different amounts of fertilizer on plant growth, the amount of fertilizer would be the independent variable, as it is being controlled by the researcher. The plant growth would be the dependent variable, as it depends on the different amounts of fertilizer applied.

Overall, variables are fundamental components of scientific inquiry, data analysis, and problem-solving, enabling researchers and scientists to understand and describe the relationships and patterns within various phenomena.

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Explain how energy from the sun is the primary source of energy on planet Earth, using the principles of the conservation of energy and examples to support your answer.
PLEASE HURRY

Answers

The energy of the sun is the original source of most of the energy found on earth. We get solar heat energy from the sun, and sunlight can also be used to produce electricity from solar (photovoltaic) cells. The sun heats the earth's surface and the Earth heats the air above it, causing wind.

because lighting heats up the surrounding air slowly, it realationship to thunder is currently unknown true or false​

Answers

Answer:

False

Explanation:

write an essay for me pls about Proxima Centauri
this will help a lot

Answers

Answer:

Proxima Centauri is a small, low-mass star located 4.244 light-years (1.301 pc) away from the Sun in the southern constellation of Centaurus. Its Latin name means the "nearest [star] of Centaurus". This object was discovered in 1915 by Robert Innes and is the nearest-known star to the Sun.

Star system: Alpha Centauri

Category: Star, Flare star

Constellation: Centaurus

Discoverer: Robert T. A. Innes

Explanation:

u should make it into an essay

Descibe the real-world examples of Newton's third lawthat were idenified in "Applications of Newton's Laws."

Answers

Answer:

A horse pulls a cart, a person walks on the ground

Explanation:

Answer:

Know it's late but I couldn't find a good answer when I looked for it so i did it myself.

My answer:

One of the real world examples mentioned in the article was that of a rocket blasting off into space. It was explained that it's an example of Newton's third law because the rocket’s engines push on those gases (action force), and the gases push back (reaction force). This reaction shows an excellent example of Newton's third law.

Sample Response:

When gases escape downward out the tail of a rocket, they push upward on the rocket. When layers of the Earth collide, they force the Earth upward, forming mountains.

Explanation:

hope this helps <3

4. A 30kg red ball is rolling to the right with a velocity of 4m/s and a green ball is rolling to the right with a velocity of 5m/s left. After the collision the red ball has a velocity of 2m/s left and the green ball is rolling to the left with a velocity of 4.5m/s left. What is the mass of the green ball?​

Answers

The question is confusing for the initial direction of the green ball. We assume to the left.

Answer:

The mass of the green ball is 360 Kg

Explanation:

Law Of Conservation Of Linear Momentum

The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and velocity v is

P=mv.

If we have a system of bodies, then the total momentum is the sum of the individual momentums

[tex]P=m_1v_1+m_2v_2+...+m_nv_n[/tex]

If some collision occurs, the velocities change to v' and the final momentum is:

[tex]P'=m_1v'_1+m_2v'_2+...+m_nv'_n[/tex]

In a system of two masses, the law of conservation of linear momentum

is written as:

[tex]m_1v_1+m_2v_2=m_1v'_1+m_2v'_2[/tex]

Let's call m1=30 Kg the mass of the red ball moving to the right at v1=4 m/s, m2 (unknown) the mass of the green ball moving at v2=-5 m/s to the left (assumed).

After the collision, the red ball rolls to the left at v1'=-2 m/s and the green ball is at v2'=-4.5 m/s. Thus:

[tex]30*4+m_2*(-5)=30*(-2)+m_2(-4.5)[/tex]

Operating:

[tex]120-5m_2=-60-4.5m_2[/tex]

[tex]120+60=5m_2-4.5m_2[/tex]

[tex]180=0.5m_2[/tex]

[tex]m_2=180/0.5=360[/tex]

The mass of the green ball is 360 Kg

Please tell me why did she leave?

Answers

Answer:

aye man you alright? I’m here for you if u need anything. just keep ur head king and stay strong, I’m sorry for what happened. she probs left bc she wanted another guy, lost feelings, or family/personal issues etc.

6. A bored student throws a pebble straight up from a 5m cliff at 12 m/s. How much time
does it take to hit the ground below? Part 2: which letter (A, B or C) most accurately
portrays this scenario?

Answers

Answer:

It takes 0.416 seconds to hit the ground.

Explanation:

speed = distance/ time

12 = 5/ x (multiply both with x)

12x = 5 (÷ 12)

x = 0.416 s

In an electrical circuit, the term current refers to:
a. resistance.
b. potential difference.
c. flowing charges.
d. energy loss.

Answers

Answer: c

Explanation:

Current is the flowing charges that goes around p.d increases it.

a helicopter is ascending at a rate of 14m/s at a height of 20m above the ground it drops a package Calculate the time taken by the package to reach the ground

Answers

Adding the rise time and fall time then the package to reach the ground in 3.647 second.

Time can be defined in the sence as,that it is a continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

We are given that ,

The packege 's trajectory into a rise to maximum height and fall from there to the ground .Rise to maximum height begins at vertical position is  given as,

Vertical position of the helicopter = H₀ = 20 m,

Initial velocityof helicopter = u = 14 m/s upward

Covered time of the helicopter =t₁ = 0,

Acceleration under gravity of helicoper=(- a) = -9.81 m/s²

Rise ends when instantaneous velocity v = 0,

Therefore, from the equation of motion for velocity as a function of time is  written as ,

v = a + at

0 = 14 m/s - (9.81 )m/s² t₁

t₁ = 1.427sec

Thus , the velocity changes linearly over time t₁ sec from u = 0 m/s then the averaging velocity can be given by w i.e.

w = u /2 = (14m/s)/2

w = 7 m/s

Therefore, maximum height of packege is given as,

H₁ = H₀ + w × t₁

H₁ =20m + 9.81m/s (1.427)s

H₁ = 33. 998 m

Therefore, when the packege fall from maximum height begins at ,

Time= t₁ = 0,

Position= h = H₁

Velocity= u = 0, and

Acceleration due to gravity downward=(-a) = -9.81 m/s²

Thus the  equation of motion for position (s) as a function of initial position (h) is can be written as,

s = h + ut₁ + (1/2) at₂²

0 = H₁ + 0 + (1/2) (-9.81)t₂²

t₂² = 4. 890 s

t₂ = 2.21 s

Hence , on adding the rise time t₁ and fall time t₂

Total time T = t₁ + t₂

T = 1.427 s + 2.21s = 3.647 s

Thus, then the package to reach the ground in 3.647 second.

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A doctor is examining a child with a red, inflamed ear
canal. The child is suffering some hearing loss. The ear,
contains a small amount of soft earwax.
Which is most likely the cause of the child's hearing
loss?
O damage to the outer ear
O a disease or infection of the outer ear
O damage to the bones of the middle ear
O a disease or infection of the inner ear

Answers

Answer:

C

Explanation:

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