Determine the vector sum of the displacements Δd1 = 2.4 m [32° S of W]; Δd2 = 1.6 m [S]; and Δd3 = 4.9 m [27° S of E].

Answers

Answer 1

Answer:

3.44 metres

Explanation:

To determine the vector sum of the displacements Δd1 = 2.4 m [32° S of W]; Δd2 = 1.6 m [S]; and Δd3 = 4.9 m [27° S of E], resolve the given parameters into x - component and y - component.

Resolving into x - component

- 2.4cos32 + 4.9cos27 = 2.3306

Resolving into y - component

- 2.4sin32 - 4.9sin27 - 1.6 = - 2.553

The vector sum of the displacement will be

Sqrt( 2.3^2 + 2.6^2) =

Sqrt ( 11.81)

3.44 m

Therefore, the vector sum of the displacements is 3.44 metres


Related Questions

What do the planets have in common and how are they different?

Answers

They are all different sizes and distances from the sun, they all rotate around the sun

Answer:

They vary quite a lot, yet there are some similarities

Explanation:

With Mercury, you have a hot and barren expanse of rock

With Venus, you also have a fairly hot and barren expanse of rock, with a molten core

With Earth, you have a warm/cool variant with water and a full atmosphere

With Mars, you have a colder and barren expanse of valleys and rock, with a rather paste-like ground

With Jupiter, we have our first gas giant, covered in clouds with a thick atmosphere

With Saturn, it is yet another gas giant, with rings of gas and rock and a dense core of metals, such as iron and nickel

With Uranus, it is also rather gas-full with a fair amount of water and methane, which results in its bluish color (an ice giant)

And finally with Neptune, it is the other ice giant, consisting of water, methane, and ammonia

So there are some similarities (gases, water, land formations, etc.) and some differences (rings, temperature, structure, etc.). Our planets are very unique to one another and continue to engage and surprise us.

explain at least two differences between justice system laws and scientific laws.

Answers

The adversarial system is rigid – the roles are proscribed – the prosecutor wants to convict, the defendant wants a decision of not guilty. They are not just allowed but expected to bias their presentation, trusting the truth to come out between the adversaries. Science certainly has its sides of partisanship and bias. But these sides are self-imposed and can be abandoned at any time. While a prosecutor should not lie or hide evidence, and should drop a case if they become convinced the defendant is innocent, they wake up in the morning with no choice about which side of the argument they will come down on. In the criminal justice system the advocates are rigidly fixed in their roles and the jurors are rigidly neutral (the process to find a random neutral jury took as long as the trial itself). In science, the advocates are the same people as the jurors. And as a result they have to be willing to be flexible and change their minds. A good scientist shouldn’t have a pre-determined rigid answer to a question.
Lack of investigation – we jurors were told over and over not to investigate the situation ourselves. We were to make our decision only on the basis of the evidence presented to us. I can tell you in the case I was on there were at least two whopping big questions hanging over the case that nearly every juror in the room identified as very important but not addressed by either lawyer. Either one of them (whether the defendant’s schedule allowed time to drink before being stopped in the car, whether a particular medical condition could affect breathalyzer tests) could have changed the outcome. We could have answered one of these with 10 minutes on google and the other with some very simple subpoena of records. But we couldn’t use any of this. Scientists obviously are the opposite – if they need more information, they are expected to go get it before making an opinion.
Reliance on personal testimony – although science and trials share a focus on evidence, trials recognize testimony of individual people under oath as a major form of evidence. They certainly acknowledge the possibility of lying and explicitly instruct jurors to decide what testimony they believe. My case was unusual in that there was so much video footage, but still a majority of the case came down to testimony by the police officers, and most cases even a few years ago would have had only testimony. Science on the other hand, doesn’t accept testimony. Or does it? What else is the methods and results section of a paper? I’m on the fence whether science is so different on this one.

human activities can have positive and negative effects on the environment. Humans can benefit natural areas by
A. throwing waste products in these areas.
B. removing all the vegetation from theses areas.
C. polluting the areas by burning fossil fuels.
D. preserving the natural resources that they provide.​

Answers

the answer would be D , the rest are ways humans basically destroy nature

What's the answer to this question?​

Answers

Answer:

The barometer is supporting 75 cm of Hg due to atmospheric pressure.

Since the manometer is open to air pressure, the gas pressure is supporting the air pressure plus the 30 cm of Hg.

So the "absolute" gas pressure is 75 + 30 = 105 cm of Hg.

A hot air balloon is traveling vertically upward at a constant speed of 7.0 m/s.
When it is 21 m above the ground, a package is released from the balloon. For
how long is it in the air?

Answers

Answer:

The time spent in air by the package is 1.5 s

Explanation:

Given;

speed of the balloon, v = 7.0 m/s

distance traveled by the balloon, d = 21 m

The time spent by the object in the air is give by;

d = vt + ¹/₂gt²

21 = 7t + ¹/₂(9.8)(t²)

21 = 7t + 4.9t²

4.9t² + 7t -21 = 0

solve this quadratic expression, and the value of t will be

t = 1.5 s

Therefore, the time spent in air by the package is 1.5 s

A train travelled 500 meters in 25 seconds

Answers

[tex]\huge\mathfrak\red {Answer:}[/tex]

Speed = Distance/Time

If a train travelled 500 meters in 25 seconds then,

Speed = 500m/25sec

20 m/sec

[tex]\mathfrak\purple {Hope\: this\: helps\: you...}[/tex]

speed=500m/25sec

20m/sec

A car accelerates from rest at 7.2 m/s 2 . How much time does it need to attain a speed of 4 m/s? Answer in units of s.

Answers

Answer:

The time is 0.6 sec.

Explanation:

Given that,

Acceleration of car = 7.2 m/s²

Speed = 4 m/s

We need to calculate the time

Using equation of motion

[tex]v=u+at[/tex]

Where, u = initial velocity

v = final velocity

a = acceleration

t = time

Put the value in the equation

[tex]4=0+7.2\times t[/tex]

[tex]t=\dfrac{4}{7.2}[/tex]

[tex]t=0.6\ sec[/tex]

Hence, The time is 0.6 sec.

What indicates that an atom
has no overall charge?

Answers

When the amount of protons and electrons is the same within the atom. Hope this is the answer you’re looking for :)

whats the average velocity

Answers

Answer:

A velocity is a vector unit, and average velocity can be described as the displacement divided by the time. The units for velocity can be understood from the definition to be meters/second or in common any distance unit over any time unit. The average speed of a body is described as the distance covered divided by the time elapsed.

Explanation:

the force of speed

Answer:

10 m/s

Explanation:

The average velocity is the slope of the graph.

m = (10 - 0)/(1 - 0)

m = 10/1

m = 10 m/s

The second image !!!!!!

Answers

Answer:

Explanation:

No, not any of these substance will float in Methanol , simply because Methanol has a density of 0.79 g, if you put any substance that weighs more than 0.79 g, it will sink, it all depends on the weight if it is more or less than methanol  

2: D=m/v

D=135/50 = 2.7 g/cm³ ( Aluminum)

D=M/V

if two objects has the same mass but one has larger volume, then te one with larger volume has less density

example : 2 objects

mass of both=350

volume of the first one=500 and  the other 750

D1=M1/V1 = 350/500 =0.7

D2 = M2/V2 = 350/750 = 0.4666

D1 is larger than D2( with larger volume )

A Force of 20N displaces a body about 45m how much work is done?​

Answers

Answer:

159 ofc

Explanation:

159 is how much work is done to the body.

a 50-kg object moving at 12 m / s has a momentum of 600 kg m / s what is the mass of an object moving at 4 m/s has the same momentum

Answers

Explanation:

p=mv

600kgms-1=m × 4ms-1

m=600kgms-1/4ms-1

m=150kg

The mass of the object which has momentum of 600kgm/s with the velocity of 4m/s is 150kg.

What is Momentum?

Momentum is the product of the mass and velocity of the object. Momentum is the quantity of motion which is made up of the amount of matter moved and the velocity at which it moves. Momentum is a vector quantity because it has both the magnitude and direction. The SI unit of momentum is kg.m/s (kilogram meter per second).

p = m × v

p = momentum of the object,

m = mass of the object,

v = velocity of the object

600kgm/s = m × 4m/s

m = 600/ 4

m = 150kg

Therefore, the mass of the object will be 150kg.

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In a science demonstration, a teacher mixed zinc (Zn) with hydrogen chloride (HCl) in a flask and quickly attached a balloon over the mouth of the flask. Bubbles formed in the solution and the balloon inflated.
What most likely occurred during this demonstration?
:The Zn and HCl both retained their identity.
:Either Zn or HCl, but not both, retained its identity.
:Evaporation of one of the substances occurred.
:One or more new substances formed.

Answers

Answer:

d

Explanation:

When a teacher mixed zinc (Zn) with hydrogen chloride (HCl), one or more new substances formed. Hence, option (d) is correct.

What is chemical reaction?

A chemical reaction is a procedure that causes one group of chemical components to change chemically into another.

Chemical reactions, which can frequently be described by a chemical equation, traditionally include changes that only affect the locations of electrons in the formation and dissolution of chemical bonds between atoms, with no change to the nuclei (no change to the elements present).

The study of chemical processes involving unstable and radioactive elements, where both electronic and nuclear changes may take place, is known as nuclear chemistry.

When the teacher mixed zinc (Zn) with hydrogen chloride (HCl), chemical reaction happens and more than one new substances formed.

2Zn + 2HCl → 2ZnCl + H₂

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How can the force of friction between two surfaces be reduced?
a. By changing rolling friction to sliding friction.
b. By making smooth surfaces rougher.
c. By separating surfaces with a lubricant.
d By increasing the force between the surfaces.

Answers

B if you make it rougher they won’t be able to have frictions
C because it will reduce the friction and help the object work together

Position vs Time
20
15
10
B
5
C
position (m)
0
D
-5
-10
-15
E
20
0 1 2 3
8
9
10
11
12
4 5 6 7
time (sec)
401320

Answers

Answer:

20

15

10

B

5

C

position (m)

0

D

-5

-10

-15

E

20

0 1 2 3

8

9

10

11

12

4 5 6 7

time (sec)

Explanation:

okk

Please Help! Im dumb.

Two completely different compounds may contain identical elements.


True or False

Answers

the answers false I believe
The answer is false hopes this helps!

A force of 200N is creating a pressure of 50Pa on a surface. Calculate the area of the surface.

Answers

Answer:

4kg

Explanation:

pressure=50pa

force=200N

Area=?

now,

pressure=force/area

50=200/area

area=200/50

area=4kg

The pressure is the forces acting on a given area. Hence, the area of the surface with a pressure of 50 Pa by a force of 200 N is 4 m².

What is force?

Force is an external agent acting on a object to deform it or to change its state form motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction. The unit of force is Newton (N).

Pressure is the force applied on unit area. Thus, as the force increases, pressure increases. Pressure can have the units in atm, pa, N/m² etc.

Pressure = Force / area.

Given that force = 200 N

pressure = 50 Pa = 50 N/m²

Therefore, area =  force/pressure

                          = 200 N / 50 Pa

                          = 4 m²

Therefore, the area of the surface is 4 m².

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When velocity is positive and acceleration is negative, what happens to the object’s motion?
a The object speeds up.
b The object remains at rest.
c Nothing happens to the object.
d The object slows down.

Answers

Answer:

Option (D) : The object slows down.

A 3.00 kg mass is traveling at an initial speed of 25.0 m/s. What is the
magnitude of the force required to bring the mass to rest in a distance of 62.5m?

Answers

Answer:

The magnitude of the force required to bring the mass to rest is 15 N.

Explanation:

Given;

mass, m = 3 .00 kg

initial speed of the mass, u = 25 m/s

distance traveled by the mass, d = 62.5 m

The acceleration of the mass is given as;

v² = u² + 2ad

at the maximum distance of 62.5 m, the final velocity of the mass = 0

0 = u² + 2ad

-2ad = u²

-a = u²/2d

-a = (25)² / (2 x 62.5)

-a = 5

a = -5 m/s²

the magnitude of the acceleration = 5 m/s²

Apply Newton's second law of motion;

F = ma

F = 3 x 5

F = 15 N

Therefore, the magnitude of the force required to bring the mass to rest is 15 N.

When your body takes the chemical energy in food and transforms it so you can move, what type of energy did it transform it into?

Radiant energy


Chemical energy


Thermal energy


Mechanical energy

Answers

Answer:

chemical I think

Explanation:

hope this helps

Answer:

its actually mechanical energy

Explanation:

i took my quiz

Multiple Choice
Which of the following was not required by the Massachusetts Education Law of 1642?
O
Children were to be educated in basic religious principles and the laws of the commonwealth.
O Children were to be able to read and write.
O Children of servants were included in the law as recipients of said education.
Children were to be sent to designated schoolmasters for their learning.

Answers

Answer:

What was not required by the Massachusetts Education law of 1642 is;

Children were to be sent to designated schoolmaster for their learning

Explanation:

The Law of 1642 required that parents and master see to it that their children knew the principles of religion and the capital laws of the commonwealth.

The important aspects of the 1642 Law includes;

1) The responsibility for the basic education and literacy of a child are those of the parents and masters of child apprentices

2) Reading and writing competency of all children and servants are a requirement

3) It is the duty of the government, where a parent or master are unable to meet their tutoring responsibility, to see that a child is placed where the basic educational requirement will be met.

The role of a schoolmaster or the setting of a formal school were yet to be formed as at that time.

Answer:

The correct answer is Children were to be sent to designated schoolmasters for their learning

The responsibility of educating children was on parents and apprenticeship masters, not on designated teachers or schoolmasters. However, the law did allow the government to step in if the supervising adults failed in their responsibilities.

Explanation:

Ten Seconds after starting from rest, a car moving at 40 m/s what is the cars average acceleration

Answers

Answer:

[tex]4ms {}^{ - 2} [/tex]

Explanation:

We can use equation of motion to solve this

[tex]v = u + at \\ 40 = 0 + a(10) \\ a = 4m {s}^{ - 2} [/tex]

Starting from rest, a truck accelerated at a rate of 2 m/s to the right for 25 seconds. How far will the truck travel during this time period

Answers

Answer:

S= ?

V=2m/sec

t=25s

S=V*t

S=2*25

S=50m

The graph shows the motion of a lift starting at rest and initially moving upwards: What is the acceleration of the lift between 0 and A?

Answers

Answer:

0.67 m/s²

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 0 m/s

Final velocity (v) = 2 m/s

Time (t) = 3 secs

Acceleration (a) =?

Acceleration can be defined as the rate of change of velocity with time. It can be represented mathematically as:

Acceleration = change in velocity /time.

a = (v – u) /t

With the above formula, we can calculate the acceleration of the lift as shown below:

Initial velocity (u) = 0 m/s

Final velocity (v) = 2 m/s

Time (t) = 3 secs

Acceleration (a) =?

a = (v – u) /t

a = (2 – 0) /3

a = 2/3

a = 0.67 m/s²

Thus, the acceleration of the lift between 0 and A is 0.67 m/s².

Solve.

(3.0 × 107)x (1.5 × 103)

Answers

Answer:49594.5

Explanation:

321x(1.5x103)
321x154.5
Answer-49594.5
(I included the steps in case you needed them)

A jet plane acceleration along a straight run way from rest to a speed of 140 m/s in 50 seconds when it took off. Calculate:
1- it’s change of velocity
2- it’s acceleration

Please help me it’s emergency

Answers

Answer:

Vf=140 m/s

Vi=0

t=50s

Explanation:

1. Acceleration is called change of velocity.

2. a=Vf-Vi/t

a=140-0/50

a=140/50

a=2.8m/s^2

An airplane is seller rates down a runway at 3.10 M/S squared 441.5 seconds from rest until finally left off the ground ,what is the displacement before takeoff

Answers

Answer:

302129m

Explanation:

Using s= ut + 1/2at²

But u= 0

So

S= 1/2(3.1)(441.5)²

=302129m

A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.
A - what is the zero error of the micrometer?
B - what is the correct diameter wire?

Answers

The answer should be b

A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.The correct answer should be the micrometer.

What is micrometer?

The micrometer is an instrument that is capable of measuring the component of an object to very high precision. It is used to obtain accurate measurements in engineering.

In the case of the copper wire, the diameter of 0.3 mm was an approximation and a more accurate measure of the diameter would be obtained by using the micrometer.A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.The correct answer should be the micrometer.

Therefore, A micrometer is used to measure the diameter of a length of copper wire. The zero error and scale reading are as shown.The correct answer should be the micrometer.

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Matter is all around us and is made of atoms. How are atoms of different elements different from each other? How do these differences relate to their properties?

Answers

Answer:

it all depends on the protons and the neutrons of that element.

_________________ are labels for ranges of weight that are greater than what is generally considered healthy for a given height.
A. Overweight and obesity
B. Overweight and morbidity
C. Obesity and diabetes
D. Obesity and heft

Answers

Answer: A. Overweight and obesity

Explanation:

Overweight and obesity are labeled for ranges of weight that are greater than what is generally considered healthy for a given height. Hence, option A is correct.

What are Overweight and obesity?

Overweight and obesity are calculated by Body Mass Index (BMI). BMI is a person's weight in kilograms divided by the square of height in meters. The healthy adult human BMI ranges from 18.5 to 25.

If BMI is less than 18.5, it falls within the underweight range. If the BMI ranges from 25.0 to 29.9, it falls within the overweight range. If the BMI is greater than 30, it comes under the obesity range. A high BMI indicates high fatness.

Obesity and overweight are determined as an abnormal growth or excessive fat accumulation in the healthy range. It is caused by an energy imbalance between calories consumed and calories expended.

Obesity and Being overweight can cause certain diseases and health issues. It increases the risk of high blood pressure, heart disease, diabetes, and stroke.

It is important to maintain a healthy range BMI. Obesity and overweight are reduced by making the choice of healthier foods and regular physical activities like yoga and exercise.

Hence, The correct option is A) Overweight and Obesity.

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