Find the magnitude of the sum
of these two vectors:
5.00 mA,
30.0°
B4
6.00 m
magnitude (m)​

Find The Magnitude Of The Sumof These Two Vectors:5.00 MA,30.0B46.00 Mmagnitude (m)

Answers

Answer 1

Answer:

Approximately [tex]3.01\; \rm m[/tex].

Explanation:

Decompose each vector into the sum of two vectors: a horizontal one (parallel to the arrow that points to the right) and a vertical one (parallel the arrow that points upwards.)

Vector [tex]\sf A[/tex] is horizontal and is at an angle of [tex]0^\circ[/tex] with the horizon.  

Horizontal component of vector [tex]\sf A[/tex]: to the right, with a length of [tex]5.00\; \rm m \cdot \cos\left(0^\circ \right) = 5.00\; \rm m[/tex].Vertical component of vector [tex]\sf A[/tex]: [tex]5.00\; \rm m \cdot \sin\left(0^\circ \right) = 0\; \rm m[/tex].

Vector [tex]\sf B[/tex] is at an angle of [tex]30^\circ[/tex] below the horizon.

Horizontal component of vector [tex]\sf B[/tex]: to the right, with a length of [tex]\displaystyle 6.00\; \rm m \cdot \cos\left(30^\circ \right) = (6.00\; \rm m) \times \frac{\sqrt{3}}{2}\approx 5.19615\; \rm m[/tex].Vertical component of vector [tex]\sf B[/tex]: downwards, with a length of[tex]\displaystyle 6.00\; \rm m \cdot \sin\left(30^\circ \right) = 6.00\; \rm m \times \frac{1}{2} = 3.00\; \rm m[/tex].

Calculate the sum of vector [tex]\sf A[/tex] and vector [tex]\sf B[/tex].

The horizontal component of vector [tex]\sf A[/tex] and vector [tex]\sf B[/tex] are opposite to one another. Therefore, the length of the horizontal component of [tex]\sf (A + B)[/tex] would be the difference between the length of the horizontal components of vector [tex]\sf A\![/tex] and of vector [tex]\sf B\![/tex]:

[tex]\displaystyle (6.00\; \rm m) \times \frac{\sqrt{3}}{2} - 5.00\; \rm m \approx 0.196152\; \rm m[/tex].

The length of the vertical component of vector [tex]\sf A[/tex] is [tex]0\; \rm m[/tex]. Therefore, the length of the vertical component of [tex]\sf (A + B)[/tex] would be equal to the length of the vertical component of vector [tex]\sf B[/tex], [tex]\displaystyle 6.00\; \rm m \times \frac{1}{2} = 3.00\; \rm m[/tex].

Therefore, the length of the horizontal and vertical component of [tex]\sf (A + B)[/tex] are approximately [tex]0.196152\; \rm m[/tex] and [tex]3.00\; \rm m[/tex], respectively. The length of vector [tex]\sf (A + B)\![/tex] would be approximately:

[tex]\displaystyle \sqrt{(0.196152\; \rm m)^{2} + (3.00\; \rm m)^{2}} \approx 3.01\; \rm m[/tex].


Related Questions

2. The car slows down from 36 m/s to 15 m/s over a 3.0 second time interval. What is its average acceleration?

Answers

Answer:

9 meter per second square

Explanation:

acceleration equation is final minus initial velocity divided by time in seconds.

36-15/3=9 meter per second square.

Answer:

wendys

Explanation:nutz go in yo mouth

1-Which is a true statement?
The nucleus is found in the center of atoms and contain protons and electrons
The nucleus is found in the center of atoms and contain protons and neutrons
Electrons have a neutral charge
Neutrons have a negative charge

2-What is the role of electrons within an atom?
Electrons are in the nucleus and have a negative charge
Electrons are in the nucleus and have a positive charge
Electrons are outside nucleus and have a negative charge
Electrons are outside nucleus and have a positive charge

Answers

Answer:

1 - The nucleus is found in the center of atoms and contains protons and neutrons.

2 - Electrons are outside (orbit) the nucleus and have a negative charge.

Explanation:

Protons are positively charged.

Neutrons are neutral.

Electrons are negatively charged.

I hope that helps!! ^-^

A dart in a toy dart gun is pressed 4 cm against a spring. if it has 1.5 J of stored potential energy what is the spring constant?

Answers

U = 0.5k(x^2)
1.5 J = 0.5k(0.04m^2)
k = 1875 N/m

Check my math i might be wrong

2. Calculate the kinetic energy of a football being launched downfield by Patrick Mahomes. The football has a mass of .5 kg and is thrown at a velocity of 25 m/s. Find the kinetic energy.​

Answers

Answer:

K.E = 156.25 Joules.

Explanation:

Given the following data;

Mass = 0.5kg

Velocity = 25 m/s

To find the kinetic energy;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

[tex] K.E = \frac{1}{2}MV^{2}[/tex]

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Substituting into the equation, we have;

[tex] K.E = \frac{1}{2}0.5*25^{2}[/tex]

[tex] K.E = 0.25 * 625 [/tex]

K.E = 156.25 Joules.

Imagine a negative test charge sitting at the coordinate origin (0,0). Two bunches of positive charges are located on the x-axis and the y-axis, respectively, so that the vectors of the respective electric forces, which the test charge experiences, point from the origin at points (1,0) and (0,1), respectively. The total force vector, which the test charge experiences, points from the origin at the point __________

Answers

Answer:

the total force vector, on test charge is points from origin to point C( 1, 1 )

Explanation:

Given the data in the question, as illustrated in the image below;

from the Image, OA = 1, OB = AC = 1

so using Pythagoras theorem

a² = b² + c²

a = √( b² + c² )

so

OC = √( OB² + AC² )

we substitute

OC = √( OA² + AC² )

OC = √( 1² + 1² )

OC = √( 1 + 1 )

OC = √2

Coordinate of C( 1, 1 )

Hence, the total force vector, on test charge is points from origin to point C( 1, 1 )

one way we can care for our ear​

Answers

keep your ear clean....

Good luck on your assignment and enjoy your day!


Which of the following statements concerning moral development is not true?
Please select the best answer from the choices provided
O Children generally become better at telling the difference between moral and conventional transgressions
as they age.
Children commonly use internal standards to reason about behavior at an early age
C What is determined as right or wrong is universally defined and agreed upon.
Parental views on what is right and wrong greatly influence children's moral reasoning.
Mark this and retuth

Answers

Answer:

C- what is determined as right or wrong is universally defined and agreed upon.

Explanation:

Correct on edge

Answer:

C. What is determined as right or wrong is universally defined and agreed upon.

Explanation:

Edg. 2021

All other options are true statements while this one is not.


A skydiver has jumped out of an aircraft but has not yet opened her
parachute.
Which of these statements best describes what is happening?

1. She is pushed towards the Earth by the force of gravity.

2.She is pulled towards the Earth by the force of gravity.

3.She is pulled towards the Earth by air resistance.

4. She is pushed towards the Earth by air resistance.​

Answers

Answer:

2

Explanation:

She's attracted with a great force back to earth's surface

am soo confused what is conclusions in physics

Answers

Conclusion summarizes the results that either support or contradict your original hypothesis.

A constant current source supplies a electric current of 200 mA to a load of 2kΩ. When the load changed to 50Ω, the load current will be

8A
9mA
700mA
12A​

Answers

Answer:

700ma

Explanation:

all u do is have to add them up.

Ohm's law allows us to calculate the result for the value of the current when we change the resistance of the circuit:

The current is: i = 8 A

Ohm's law establishes that voltage is proportional to current and we call the constant of proportionality resistance in a circuit.

           V = i R

Where V is the voltage, i the current and R the resistance of the circuit.

They indicate that the source supplies a current of i = 200 mA = 0.200 A at a load of R = 2 kΩ = 2 10³ Ω

Let's find the source voltage.

           V = 0.200 2 10³

           v = 400 V

Now with this voltage let's find the current for the new load of R = 50 Ω

          i = V / R

          i = 400/50

          i = 8 A

In conclusion using Ohm's law we can calculate the result for the value of the current when we change the resistance of the circuit is:

The current is: i = 8 A

               

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These steps are followed when using the half-life of carbon-14 to determine the age of an object that contains carbon. what is the correct order of these steps

Answers

Answer:

the answer is b

Explanation:

a p e x

The correct order of these steps is according to option B i.e. C, A, B

What is half life?

Half life is the time taken by a radioactive material for the radioactivity of to reduce by half its original value.

The half life equation is:

A = A₀ (½)^(t / T)

where A is the final amount, A₀ is the initial amount, t is the amount of time, and T is the half life.

These steps are followed when using the half-life of carbon-14 to determine the age of an object that contains carbon.

The correct steps are -

Measure the ratio of parent and daughter nucleiUse the half life of carbon-14 to determine the number of half lives that have passed.Use the number of half lives passed to determining the age of the object.

Thus, the correct option is B i.e. C, A, B

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Timed plz hurry
Enlarged brain ventricles are presumed to signify
A. an excess of dopamine activity
B. frontal lobe abnormalities
C. development of brain tissue
D. a deterioration of brain tissue

Answers

Answer:

D. a deterioration of brain tissue

A deterioration of brain tissue cause enlargement of brain ventricles

When an injury or illness alters the circulation of CSF, one or more of the ventricles becomes enlarged as CSF accumulates. In an adult, the skull is rigid and cannot expand, so the pressure in the brain may increase profoundly. Hydrocephalus is a chronic condition in which  is the buildup of fluid in the cavities (ventricles) deep within the brain. It can be controlled, but usually not cured.What is CSF?Cerebrospinal fluid (CSF) is a clear, colorless liquid found in your brain and spinal cord. They combinedly form central nervous system.Central nervous system controls and coordinates everything you do including  muscle movement, organ function, and even complex thinking and planning

Hence, D) is the correct option.

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Three vectors A,B and C are such that A=B+C and their magnitudes are 5,4 and 3 respectively.find the angle between A and C​

Answers

Answer:

B = A - C

=> B² = A² + C² - 2AC.cos(A,C)

=>

[tex]cos(a.c) = \frac{a {}^{2} + c {}^{2} - b {}^{2} }{2ac} = \frac{5 {}^{2} +3 {}^{2} - 4 {}^{2} }{2.5.3} = \frac{3}{5} [/tex]

=> angle between A and C = 53.13⁰

This graph shows the path length based on the number of speciation events in a evolution path.

Speciation Events vs. Path Length gradual evolution Path Length punctuational evolution Number of Speciation Events

What does the graph suggest about the evolution path length


a. The punctuational evolution path is the same as the gradual evolution path
b. The gradual evolution path is longer that the punctuational evolution path
c. Gradual evolution does not effect the evolution path length
d. Punctuational evolution does not effect the evolution path length

Answers

Answer:

Nbhb

Explanation:

The law of universal gravitation states that any two objects in the universe, without exception,
a
repel each other

b
attract each other
c
create friction

Answers

Answer:

attract each other

Explanation:

..........

Which of the following is NOT a natural source of light?


neon light
lightening
stars
fire

plssssssssss help i put 30 points pls answer correctly
it is scince

Answers

Answer:

neon light

all the others are natural phenomenon

Lightening if u mean like table light, lamps and stuff. But if u mean lightning as like thunder, then I believe it’s neon light

As a pendulum swings from the bottom position to the top position

kinetic energy is changed into potential energy

mechanical energy is changed into radiation

radiation is changed into friction

potential energy is changed into kinetic energy

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Power and Energy.

As a pendulum swings from the bottom position to the top position, it gains a height which means it gains the Potential energy.

hence we can say that, kinetic energy is changed into potential energy.

So, the Option A.) is correct.

Answer:

I think it's A)

Explanation:

it could be wrong i don't know hope it's not good luck!

Two charged particles, with charges q1 = q and q2 = 4q are located at a distance d = 2cm apart on the x axis A third charged particle, with charge q3 = q is placed on the x axis such that the magnitude of the force that charge 1 exerts on charge 3 is equal to the force that charge 2 exerts on charge 3. Find the position of charge 3 when q = 10n C

Answers

Answer:

0.667 cm

Explanation:

|F_1on3| = |F_2on3|

k×q1×q3/x^2 = k×q2×q3/(d-x)^2

q1/x^2 = q2/(d-x)^2

(d-x)^2/x^2 = q2/q1

(d-x)/x = sqrt(q2/q1)

(2 - x)/x = sqrt(4×q/q)

(2 - x)/x = 2

2 - x = 2x

2 = 3x

x = 2/3

x= 0.667 cm

The specific heat of water in its solid phase (ice) is 2090 J/(kg K), while in the liquid phase (water) its specific heat is 4190 J/(kg K). Water's latent heat of fusion is 333,000 J/kg. If you have a 2kg block of ice at -90°C and you add 1,000,000 J of heat, what is its new temperature?

a. 0°C
b. 14°C
c. 49°C
d. 149°C

Answers

Answer:

d. 149 ⁰C.

Explanation:

Given;

mass of the block of ice, m = 2 kg

specific heat capacity of the ice, C = 2090 J/(kgK)

initial temperature of the ice, t₁ = -90 ⁰C

heat added to the ice, H = 1,000,000 J

let the final temperature of the ice = t₂

The final temperature of the ice after adding the heat is calculated as follows;

[tex]H = mC_{ice} \Delta t\\\\H = mC_{ice} (t_2 - t_1)\\\\1,000,000 = 2 \times 2090 \times (t_2 - (-90))\\\\1,000,000 = 4,180(t_2 +90)\\\\1,000,000 = 4,180t_2 + 376,200\\\\1,000,000 - 376,200 = 4,180t_2\\\\623,800 = 4,180 t_2\\\\t_2 = \frac{623,800}{4,180} \\\\t_2 = 149 \ ^0C[/tex]

Therefore, the new temperature of the water is 149 ⁰C.

Random question, if Tanjoro, Zenitsu, and other Demon Slayers can conjure elements with their swords, then can we do the same?
A) HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH
B) Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)
C) These physics don't match up...
D) Their freakin' anime characters... of course not..

Answers

Answer:

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

Explanation:

-takes some random sword and tries to do water breathing- Nope, doesn't work q-q

Answer:

Explanation: BOTH A AND B

HELL YA, WATER SURFACE SLASHHHHHHHHHHHHHHHHH

 Their freakin' anime characters... oF cOuRsE wE cAn (⌐■_■)

What is the fastest bird​

Answers

She is correct I looked it up

Answer:

Peregrine Falcon/hawk

Explanation:

i really dunno if you are talking about brids that can't fly or not.

An ant is crawling on the sidewalk. At one moment, it is moving south a distance of 5.0 mm. It then turns southwest and crawls 4.0 mm. What is the magnitude of the ant’s displacement?
A) 8.3mm
B) 8.3cm
C) 8.3m
D) 8.3km

Answers

The correct answer is (A) 8.3mm.

The total displacement will be the vector sum of the two displacements given in the question.

let the displacement to the south represent vector A = 5mm in magnitude directed toward south.

let the displacement to the south-west represent vector B = 4mm in magnitude directed toward south-west.

The angle between vector A and vector B is 45°, the angle between south and south-west.

SO the resultant

R = vectro A + vector B

[tex]R=\sqrt{A^{2}+B^{2}+2ABcos(45) } \\\\R=\sqrt{25+16+40*\frac{1}{\sqrt{2} } } \\\\R=8.3mm[/tex]

The ant's displacement is 8.3 mm in magnitude.

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The magnetic field strength in an experiment is 5.0 x 10–4 Newtons per Amp meter (or 5.0 x 10–4 N A–1m–1), where the unit of force is the Newton (N = kg m s–2) and the unit of current is the Ampere (A = C s–1). A Coulomb, C, is a unit of charge. The electric field strength in another experiment is 1.8 x 104 N C–1. From these parameters, both the magnetic displacement and the electric displacement were each measured to be 6.0 cm. Calculate the velocity of the particles.

Answers

Answer:

The velocity of the particles is "0.36×10⁸ m/s".

Explanation:

The given values are:

Magnetic field strength,

B = 5.0×10⁻⁴ N/Amp

In another experiment,

F = 1.8×10⁴

By considering the Lorentz force, the velocity will be:

⇒  [tex]qE=qvB[/tex]

then,

⇒  [tex]v=\frac{F}{B}[/tex]

On substituting the given values, we get

⇒     [tex]=\frac{1.8\times 10^4}{5.0\times 10^{-4}}[/tex]

⇒     [tex]=0.36\times 10^8 \ m/s[/tex]

A wave traveling at 5.00x10^4 meters per second has a wavelength of 2.50x10^1 meters what is the frequency of the wave

Answers

Answer:

Frequency of the wave = 2 x 10³ hz

Explanation:

Given:

Velocity of wave = 5 x 10⁴

Wavelength = 2.5 x 10¹

Find:

Frequency of the wave

Computation:

Frequency of the wave = Velocity of wave / Wavelength

Frequency of the wave = [5 x 10⁴] / [2.5 x 10¹]

Frequency of the wave = 2 x 10³ hz

The frequency of a wave traveling at 5.00 x 10⁴ meters per second and a wavelength of 2.50x10¹ meters is 2 × 10³ Hz

HOW TO CALCULATE FREQUENCY:

The frequency of wave can be calculated by dividing the speed of the wave by its wavelength.

λ = v/f

Where,

V= velocity of the wavef = frequencyλ = wavelength

According to this question, a wave is traveling at 5.00 x 10⁴ m/s and has a wavelength of 2.50 x 10¹ meters. The frequency can be calculated as follows:

f = v ÷ λ

f = 5 × 10⁴ ÷ 2.5 × 10¹

f = 2 × 10³Hz

Therefore, the frequency of a wave traveling at 5.00 x 10⁴ meters per second and a wavelength of 2.50x10¹ meters is 2 × 10³Hz.

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Planet RMM-1 has a mass of 28,500 kg and the star it revolves around has
a mass of 2.20 x 10^8 kg. If the star emits a gravitational force of 39 N how
far away are the two objects from each other?

Answers

Gravitational force = G · (mass₁) · (mass₂) / (distance)

(distance²) = G · (mass₁) · (mass₂) / (Gravitational force)

G = 6.67 x 10⁻¹¹ n-m² / kg²  (the "gravitational constant")

Distance²  = (6.67 x 10⁻¹¹ n-m² / kg²) (28,500 kg) (2.2 x 10⁸ kg) / (39 N)

Distance² = (6.67 · 28,500 · 2.2 x 10⁻³ N-m²) / (39N)

Distance²  =  (418.209 N-m²) / (39N)

Distance²  =  10.72 m²

Distance = 3.275 meters

An absurd scenario, but that's by golly what the math says with the numbers provided.  I guess it's a teeny tiny planet orbiting 3.275 meters outside a teeny tiny black hole.

Lithium (chemical symbol Li) is located in Group 1, Period 2. Which is lithium most likely to be? O A. A soft, shiny, highly reactive metal OB. A soft, shiny, highly reactive nonmetal O C. A gaseous, highly reactive nonmetal O D. A metalloid with properties of both metals and nonmetals SUBMIT​

Answers

Answer:

A. A soft, shiny, highly reactive metal

Explanation:

Lithium  is located in Group 1, Period 2. lithium is most likely to be soft, shiny, highly reactive nonmetal. Hence option A is correct.

What is Atom ?

Atom is smallest entity of a body. Body is made up of atoms. it is basic building block of a body. An atom consist of electrons, protons and neutrons as sub atomic particle. whole mass of the atom is concentrated at the center of the atom which we call it as nucleus, nucleus consist of proton and neutron. Electron revolve around the nucleus at determined(fixed) orbit. Total number of protons in the atom decides the atomic number and the elements in the periodic table.

The electrons which are completely filled orbitals are called as core shell electrons and which are not filled completely are called as valence electron. valence electrons are responsible for physical and chemical properties of the element. Elements which are on same column in periodic table have same number of valence electrons .

Hence option A is correct.

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Timed plz hurry
Research indicates that individuals experiencing depression often experience anxiety disorders.
Please select the best answer from the choices provided
T/f?

Answers

Answer:

True

Explanation:

Research indicating that individuals experiencing depression often experience anxiety disorders is a true statement.

What is Depression?

This health disorder is characterized by loss of interest in activities as a result of depressed mood.

Individuals who have depression often experience anxiety disorders such as panic attacks etc.

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What are 4 ways individuals can influence the government?

Answers

Voting, running, speaking in front of government

Objects A and B both have mass 2 kg. Object A has temperature 20°C and Object B has temperature 40°C. The specific heat of Object A is larger than that of Object B. The two objects are isolated from the environment and are brought into thermal contact with each other and allowed to come to thermal equilibrium. Is the final temperature of both objects greater than, less than or equal to 30°C? Briefly explain your reasoning.

Answers

Answer:

Equal to 30°C.

Explanation:

The final temperature of both objects are equal to 30°C because of the conduction heat from one object to another. Both objects have same mass of 2 kg and both were isolated from the external environment so conduction of heat occurs from the more hotter body to the less hotter body until the temperature of both objects are equal to each other.

The final temperature of both objects is less than 30° C

What is the specific heat of an Object?

The specific heat of an object is the minimum required quantity of heat needed to raise the temperature of 1 gram of the object(substance) by 1° C.

From the parameters given:

The mass of both Object A and B = 2kgThe temperature of Object A = 20° CThe temperature of Object B = 40° C

Using the Calorimetry principle, we need to understand that the heat lost by an object at a high temperature is proportionally equal to that heat gained by the object at a low temperature.

i.e.

[tex]\mathbf{Q_{lost}= Q_{gain}}[/tex]

[tex]\mathbf{ms_B \Big[40^0 \ C - \theta_o\Big]= ms_A \Big [ \theta_o - 20^0 \ C \Big]}[/tex]

Given that:

The specific heat of object A is larger than that of object B i.e. [tex]\mathbf{S_A> S_B}[/tex]

Then, let us consider a scenario where [tex]\mathbf{S_A = 1.5S_B}[/tex]

Thus;

[tex]\mathbf{S_B \Big[40^0 \ C - \theta_o\Big]= 1.5S_B \Big [ \theta_o - 20^0 \ C \Big]}[/tex]

[tex]\mathbf{40^0 \ C - \theta_o= 1.5 \theta_o - 20^0 \ C}[/tex]

[tex]\mathbf{ 2.5\theta_o= 70^0 \ C}[/tex]

[tex]\mathbf{ \theta_o= \dfrac{70^0 \ C}{2.5}}[/tex]

[tex]\mathbf{ \theta_o=28 ^0 C}[/tex]

Therefore, we can conclude that since the specific heat of object A is larger than that of object B i.e. [tex]\mathbf{S_A> S_B}[/tex], then the final temperature [tex]\mathbf{ \theta_o<30 ^0 C}[/tex]

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Examine the diagram of a cell.
Which organelle is marked with an X?
cell membrane
mitochondrion
nucleus
ribosome

Answers

Answer:

It is the Nucleus

Answer:

Nuclease

Explanation:

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