An escaped convict runs 1.70 km due East of the prison. He then runs due North to a friend's house. If the magnitude of the convict's total displacement vector is 2.50 km, what is the direction of his total displacement vector with respect to due East?

Answers

Answer 1

Answer:

The right approach will be "47° north of east".

Explanation:

The given values are:

East of prison

= 1.70 km

Displacement vector

= 2.50 km

Now,

The direction will be:

⇒  [tex]Cos \ \theta =\frac{1.7}{2.5}[/tex]

⇒            [tex]=0.68[/tex]

⇒         [tex]\theta=47.16^{\circ}[/tex]

i,e.,       [tex]\theta = 47^{\circ}[/tex] (north of east)

Answer 2

The direction of his total displacement vector with respect to due East is 1.83km

Resultant vector

Given the following parameters

Distance ran through east = 1.70km

displacement = 2.50km

Required

Total displacement vector with respect to due north

Using the expression below;

d = √x² + y²

2.5² = 1.7² + y²

y² = 2.5² -  1.7²

y² = 3.36

y = 1.83km

Hence the direction of his total displacement vector with respect to due East is 1.83km

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Related Questions

A stone has a mass of 2kg and volume of 0.00025m3, what is the density of the stone?​

Answers

Answer:

density = [tex]\frac{mass}{volume}[/tex]

so,

     d = 2/0.00025

     d = 8000 kg/m3

Find by means of a vector (quantity) diagram,
the resultant of two forces of 7N and 3N acting at
right angle to one another
solve ​

Answers

Answer:

which principle prevents a brach from abusing  its power

Explanation:

A physics book is moved once around the perimeter of a table of dimensions 1.0m by 2.0 m. a. if the book ends up in its initial position, what is its displacement? Type here b. What is the distance traveled?​

Answers

Answer:

A. 0 m.

B. 6 m.

Explanation:

Displacement is final position to initial position in the shortest length possible, if you end at your initial position then your displacement is basically 0.

Since the book traveled along the perimeter of a table of 1m and 2m then its perimeter is a total of 6m, which is basically how far the book traveled.

At highway speeds, a particular car is capable of an acceleration of about 1.6 m/s?. At this rate,
does it take the car to speed up from 80 km/hr to 110 km/hr? Round your answer to
Two significant figures

Answers

Given parameters:

Acceleration of the car = 1.6m/s

Initial speed  = 80km/hr

Final speed  = 110km/hr

Solution:

Time taken to achieve this speed = ?

Solution:

Acceleration is the rate of change of velocity with the time taken.

  Mathematically;

     a  = [tex]\frac{V - U}{T}[/tex]

where a is the acceleration

           V is the final velocity

           U is the initial velocity

           T is the time taken

Now make the unknown time the subject of the expression;

      aT  = V - U

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

Convert the given acceleration to km/hr;

       1.6m/s  = 1.6 x [tex]\frac{m}{s}[/tex]  x [tex]\frac{1km}{1000m}[/tex] x [tex]\frac{3600s}{1hr}[/tex] = 5.76km/hr

Input the parameters and solve;

       T = [tex]\frac{110 - 80}{5.76}[/tex]  = 5.2hrs

The time taken is 5.2hrs

What is the density of this liquid that has a mass of 300g and volume 600ml.

Answers

Answer:

0.5

Explanation:

D = M / V

You divide 300g by 600ml and you get 0.5

(✿◠‿◠)

la respuesta es

0.5

espero que te sirva

:-)

A plane drops C.A.R.E package to some needy people in the jungle from a height of 1,000 meters.How long will it take the package to strike the ground?

Answers

Do you have to compare the two dose that help {. .please like!!!!!!!!!!!!

Object B has a mass of 10 kg and is moving at a velocity of 2.2 m/s. So object B’s momentum is ___ kg •m/s

Answers

Answer:

22

Explanation:

becuase is you do 10kg times 2.2= 22m/s

Object B has a mass of 10 kg and is moving at a velocity of 2.2 m/s. So object B’s momentum is 22 kg.

What is momentum in real life?

The momentum of an object is given with the aid of the made from its mass and the rate. this may be understood genuinely with the help of an instance. A Cricket ball is heavier than a tennis ball. If each of the balls is thrown at the same speed. Greater pressure is required to forestall the cricket ball.

What is the momentum of an object?

Momentum is the amount of movement and is compounded by using the quantity of the problem moved and the velocity with which it moves. The item has a tendency to be in movement and therefore is a vector amount. it's far determined by using the made from the mass of the object and its velocity.

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A large bottle contains a number of medicinal tablets each having a mass of 250
mg. The mass of all the tablets is 1 kg. Calculate the number of tablets in the bottle.

Answers

Given parameters:

Mass of each tablet  = 250mg   = 0.25g

Mass of all tablets in the bottle = 1kg  = 1000g

Unknown:

Number tablets in the bottle = ?

Solution:

The number of tablets in the bottle;

    Number of tablets  = [tex]\frac{mass of all tablets in the bottle}{mass of each tablet}[/tex]

                     Mass is the amount of matter that makes up a substance

Number of tablets  = [tex]\frac{1000g}{ 250 x 10^{-3} }[/tex]   = 4000 tablets

Considering the rule of three, the number of tablets in the bottle is 4.

In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

That is, what is intended with it is to find the fourth term of a proportion knowing the other three.  

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.

To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:

a ⇒ b

c ⇒ x

So: [tex]x=\frac{cxb}{a}[/tex]

The direct rule of three is the rule applied in this case as follow:  if 250 mg = 0.250 g is the mass of 1 medicinal tablet, 1 kg = 1000 g is the mass of how many medicinal tablets?

0.250 grams ⇒ 1 medicinal tablet

1000 grams ⇒ x

Then:

[tex]x=\frac{1000 gramsx1 medicinal tablet}{0.250 grams}[/tex]

x= 4 medicinal tablets

Finally, the number of tablets in the bottle is 4.

Learn more:

brainly.com/question/12482948?referrer=searchResults brainly.com/question/24534599https://brainly.com/question/25294910?referrer=searchResults

Tyler traveled 36 km at a speed of 8 km/hr. Mark traveled 48 km at a speed of 10 km/hr. Who traveled the fastest? Who got to their destination first?

Answers

Answer:

Tyler got to his destination first. It took him 4.5 hours

Explanation:

Tyler's trip: 36 / 8 = 4.5 hrs

Mark's trip: 48 / 10 = 4.8 hrs

When a force of 34 N accelerates the object 4 m/s^2?

Answers

Answer:

br

Explanation:frbecause u dumb

Two trains are on separate but parallel tracks running east and west. One has a speed of 90 km/h, the other 80 km/h. Initially, the trains are 5 km apart and are approaching each other. How long will it take the two trains to have the same position along the east-west direction?

Answers

Answer: 4 hours

Explanation: Their approach rate is 100+140 or 240 km/h and 960/240 which equals 4 hours

Caregivers who are observed to be abusive or neglectful have been associated with the __________ type of attachment. A. secure B. disorganized-disoriented C. insecure-avoidant D. anxious-ambivalent

Answers

Answer:

B

Explanation:

The disorganized-disoriented kind of attachment has been linked to caregivers who have been observed to be violent or neglectful.

Therefore, option B. is correct.

Who are caregivers?

A caregiver seems to be a salaried member of someone's social network who assists them with everyday routines. Because they lack formal training, they are frequently referred to as informal caregivers.

The disorganized-disoriented kind of attachment has been linked to caregivers who have been observed to be violent or neglectful.

Therefore, option B. is correct.

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Convert the following from scientific notation to standard notation.

1. 3.47 x 108
2. 7.94 x 103
3. 1.96 x 10-3
4. 4.50 x 109
5. 9.61 x 10-6
6. 2.02 x 105
7. 7.01 x 10-10
8. 4.44 x 101

Answers

Answer:

1.) 347,000,000

2.)7,940

3.)0.00196

4.)4,500,000,000

5.)0.00000961

6.)102,000

7.).000000000701

8.)44.4

Explanation:

when the power is positive, you just need to move decimal point to your right , for a number of times which is similar to the value of the power.

Eg. 3.47×10 raised to the power 8.

with this, move the decimal point to the right eight times which will be 347,000,000.

But when the power is negative, move the decimal point to the left for a number times which will be similar to the value of the power.

Eg. 1.96×10 raised to the power negative 3.

move the decimal point leftwards three times which will be 0.00196

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Dos masas de 8kg es tan unidas en el extremo de una varilla de aluminio de 400mm de longitud. La varilla está sostenida en su parte media hora en círculos y solo puede soportar una tensión máxima de 800 N ¿cuál es la frecuencia máxima de revolución

Answers

Answer:

The maximum frequency of revolution is 3.6 Hz.

Explanation:

Given that,

Mass = 8 kg

Distance = 400 mm

Tension = 800 N

We need to calculate the velocity

Using centripetal force

[tex]F=\dfrac{mv^2}{r}[/tex]

Where, F= tension

m = mass

v= velocity

r = radius of circle

Put the value into the formula

[tex]800=\dfrac{8\times v^2}{200\times10^{-3}}[/tex]

[tex]v^2=\sqrt{\dfrac{800\times200\times10^{-3}}{8}}[/tex]

[tex]v=4.47\ m/s[/tex]

We need to calculate the maximum frequency of revolution

Using formula of frequency

[tex]f=\dfrac{v}{2\pi r}[/tex]

Put the value into the formula

[tex]f=\dfrac{4.47}{2\pi\times200\times10^{-3}}[/tex]

[tex]f=3.6\ Hz[/tex]

Hence, The maximum frequency of revolution is 3.6 Hz.

When energy is transferred from one part of a system to another, some of the
energy is lost during the transfer and cannot be used as it was intended.
Which two sentences describe examples of this?
A. An electric motor hums as it powers a conveyor belt
B. Stereo speakers emit sound when powered by electrical energy.
O C. Sunlight strikes a solar panel, generating electricity.
O D. A car engine heats up while the car is being driven.
E. Wind moves a turbine, generating electricity.

Answers

Answer:

A. An electric motor hums as it powers a conveyor belt

D. A car engine heats up while the car is being driven.

Explanation:

Energy inefficiency usually involves loss of energy as other forms when they are being converted from one form to another.

The two choices that fit the description includes;

An electric motor humming as it powers a conveyor belt. This energy conversion is supposed to be from electrical to mechanical energy but there is a loss due to the sound energy produced by the motor. Heat energy produced as the car is driven also results in energy inefficiency.

Other choices do not show this inefficiency.  

Answer:

A. An electric motor hums as it powers a conveyor belt

D. A car engine heats up while the car is being driven.

Explanation:

How does an object become negatively charged

Answers

Explanation:

When insulating materials rub against each other, they may become electrically charged . Electrons , which are negatively charged, may be 'rubbed off' one material and on to the other. The material that gains electrons becomes negatively charged. The material that loses electrons is left with a positive charge.

who has a iphone (age range 15-19 )

Answers

Hi friend! I have an iPhone. why do you ask????

Two dimensional motion

Answers

Answer:

In two-dimensional projectile motion, such as that of a football or other thrown object, there is both a vertical and a horizontal component to the motion. ... The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.

Answer:

In two-dimensional projectile motion, such as that of a football or other thrown object, there is both a vertical and a horizontal component to the motion. ... The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical.

Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus?

Answers

Answer:

Electrons are retained by the electromagnetic force in the orbit around the nucleus since the nucleus is positively charged in the middle of the atom and absorbs the electrons charged negatively.

Hope this helps!

We have that for the Question "Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus" it can be said that

Electron of the hydrogen atom stays close to the proton in the atom’s nucleus because hydrogen with a low proton and electron number its repulsion will be low  

From the question we are told

Why do you think the electron of the hydrogen atom stays close to the proton in the atom’s nucleus?

Generally

The electrons are father away from the protons in the nucleus as atomic number increases

This is because of the law of attraction where unlike charges reply

Therefore

For hydrogen with a low proton and electron number its repulsion will be low and Hence  electron of the hydrogen atom stays close to the proton in the atom’s nucleus

For more information on this visit

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A lithium atom has 3 protons, 4 neutrons and 3 electrons. How would the atom change to become a cation? How would the atom change to become an anion?

Answers

Answer:

- For the lithium ion to change to become an anion, it will have to gain one or more electrons which can be pulled away from possibly other atoms with a weaker affinity for them.

- For the lithium ion to change to become a cation, it will have to loose one or more electrons which can be drawn by other atoms with a stronger affinity for them.

Explanation:

Generally, an anion has a net negative charge arising from the fact that it has more electrons than protons while a cation has a net positive charge arising from the fact that it has more protons than electrons.

Now, for the lithium ion to change to an anion, it means it has to have more electrons than it's protons. Thus, since it has 3 number each of protons and electrons, it will have to gain one or more electrons which can be pulled away from possibly other atoms with a weaker affinity for them.

Now, for the lithium ion to change to a cation, it means it has to have more protons than it's electrons. Thus, since it has 3 number each of protons and electrons, it will have to loose one or more electrons which can be drawn out by possibly other atoms with a stronger affinity for them.

When a gas increase in thermal energy it will go through...?
A. thermal contraction
B. thermal expansion
C. freeze
D. smell​

Answers

Answer:

b

Explanation:

what is acceleration

Answers

Answer:

Explanation:

Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.

[tex]{\tt{\red{\underline{\underline{\huge{Answer:}}}}}}[/tex]

[tex]\longrightarrow[/tex] The rate of change of velocity per unit time is called acceleration.

[tex]\longrightarrow[/tex] Its SI unit is m/s².

[tex]\huge\boxed{\fcolorbox{blue}{red}{Thank you}} [/tex]

Andrew plays trumpet in the concert band. He holds the trumpet still at his side until it is time for him to play. When it is time, he brings the trumpet up to his mouth and starts to play. Which statement correctly connects the motion of the trumpet with Newton’s first law of motion?

Answers

When his instrument is at rest on his lap also to help maybe look into Newton’s law and write down the three main laws on flash cards

Answer:

Explanation:

I really don’t know

When a group has a question about their ohmmeter,
who is the best person to ask for help?
the student with the highest grades
a student whose lab group is finished
the instructor who is leading the lab
a student whose mom is an electrician

Answers

Answer:

c

Explanation:

Answer:

C

Explanation:


If an object is thrown down with force from the top of a building, at a speed of 20.0 m/s, and it hits the ground with
a speed of 40.0 m/s.

Answers

what is the question lol

Samuel's car has a mass of 3,000 kg. If your car produces a force of 500 N, how fast will it accelerate?​

Answers

Answer:

The answer is 0.17 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex] a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{500}{3000} = \frac{5}{30 } = \frac{1}{6} \\ = 0.166666...[/tex]

We have the final answer as

0.17 m/s²

Hope this helps you

Two children fight over a toy. One pulls with a force of 8N to the right. The other pulls with
a force of 6N to the left. What is the strength and direction of the net force on the toy?

Answers

Answer: To the right

Explanation:

8n is more strength then 6n periodt pooh ✨

When two children fight over a toy. One pulls with a force of 8N to the right. The other pulls with a force of 6N to the left then the net force on the toy would be 2 N to the right.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The mathematical expression for Newton's second law is as follows

F = ma

As given in the problem, two children fight over a toy. One pulls with a force of 8N to the right. The other pulls with a force of 6N to the left.

Net force = 8 - 6

                = 2 Newtons

Thus, the net force of the toy comes out to be 2 Newtons.

Learn more about Newton's second law here, refer to the link;

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An 85 kg construction worker has 37,485J of gravitational potential energy. To the nearest whole number,
worker is _________
mabove the ground

Answers

Answer:

45m above the ground

Explanation:

got it right on Edg 2020

Describe the stratosphere.
What happens to the air pressure when you get closer to Earth?
What are the layers of the atmosphere?

Answers

1. The stratosphere is above the troposphere. This layer of the atmosphere is where planes fly. At the top of the stratosphere, there is a ozone layer.

2. The mesosphere is above the stratosphere. Temperatures drastically drop in the mesosphere. It is the middle layer of the atmosphere.

3. Here are the layers of the atmosphere:

TroposphereStratosphereMesosphereThermosphereExosphere

Hope this helps you!

BMW has introduced a program of covered scheduled maintenance for its cars. That is, when you bring in your vehicle for maintenance at a BMW dealership, BMW will cover the costs of everything (except for worn-out tires). This practice specifically targets which stage of the product life cycle?

Answers

Answer:

Usage

Explanation:

A product life cycle refers to the duration from the introduction of the product into the market until it's taken off the shelves.

A program of covered scheduled maintenance for the cars refers to the practice in which the dealership will cover the costs of everything when you bring in your vehicle for maintenance.

In this question, the mentioned practice specifically targets the stage - Usage of the product life cycle

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