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

A cannon is fired horizontally from the edge of a 100 meter tall cliff. The muzzle velocity of the cannon is 180 m/s . How far from the base of the cliff does the hall land?
A-.55m
B-813.16m
C-3673.47
D-700m

Answers

Answer:

B - 813.16 m

Explanation:

First, find the time it takes to land.  Given in the y direction:

Δy = 100 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

100 m = (0 m/s) t + ½ (9.8 m/s²) t²

t = 4.52 s

Now find the distance traveled in that time.  Given in the x direction:

v₀ = 180 m/s

a = 0 m/s²

t = 4.52 s

Find: Δx

Δx = v₀ t + ½ at²

Δx = (180 m/s) (4.52 s) + ½ (0 m/s²) (4.52 s)²

Δx = 813.16 m

Express 3 x 10-9s in milliseconds

Answers

Answer:

3 × 10 to the power minus 6 milliseconds

When we convert 3 x 10⁻⁹ s into milliseconds it would be 3 x 10⁻⁶milliseconds

What are significant figures?

In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.

If a number describing the result of a measurement (such as length, pressure, volume, or mass) includes more digits than the number of digits permitted by the measurement resolution, only the digits allowed by the measurement resolution can be significant figures.

As given in the problem we have to convert 3 x 10⁻⁹ s into milliseconds

1 second = 1×10³ milliseconds

3 x 10⁻⁹ seconds =  (3 x 10⁻⁹)  ×  (1×10³ )

                            = 3 x 10⁻⁶milliseconds

Thus, 3 x 10⁻⁹ s converted into milliseconds it would be 3 x 10⁻⁶ milliseconds

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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.

uses and effects of UV rays? ​

Answers

Answer:

The above pic may help you :)

Explain any two areas affected by migration​

Answers

Answer:

Migration is affected by various factors like age, sex, marital status, education, occupation, employment etc. Age and sex are main demographic factors that affect the migration. Men, generally, migrate to other places quite often though there are more women who migrate to husbands' places after marriage.

Answer:

Social aspect:

In the place of origin migration can create a lack of food, accomodation and other basic services and facilities. Because of influence of lanuage, tradition , culture etc carried by immigrants the native language culture and tradition of the target place may get endangered. This may create diverseness of culture language so there can be disunity and factionalism in society. Target place may have to experience unemployment and criminal activities may take a lead.The place of origin may have to suffer from depopulation and slow development as well..

Economic aspect:

Target place may get some more manpower which results in fast development. But if the manpower is enough or more then unemployment can be resulted. This may cause brain drain. Poverty may take a lead. Landlords may exploit labourers ....

PAGE 29
Q. 1. What is meant by power of accomodation of the eye?​

Answers

This is the process of changing the shape of the eye lens to focus on near or distant objects.

HELP ME PLZ!!!! I'LL DO ABSOLUTELY ANYTHING, AND I MEAN ANYTHING!!!!!!

Answers

The amount of radiation that a human gets when traveling through space is very toxic this is something that makes it difficult for them to travel as well as the extreme temperatures.

Answer:

There are so many things that make human travel difficult.

Here are some ideas ;

1) Air and Water -Taking water and oxygen from the Earth is very expensive and very difficult. (Note that if there is lots of water, oxygen can be made from the water. Also, if there is carbon dioxide, oxygen can be made.)

2) Food - people will need to grow their own food on another planet - transportation to and from Earth is, again, too expensive. Plants need carbon dioxide and sunlight (real sunlight is best; artificial lighting will work, too.)

3) Energy - Human settlements will need to create their own energy. Energy can be created using the sun.

Note that these powers have their own advantages and disadvantages

4) Radiation - Radiation is harmful for people, plants and animals. On Earth, we are protected by a magnetic field and an atmosphere. Some planets and moons have neither; some have only one or the other. Very few have both. Some planets have very strong magnetic fields that create even more radiation. Crazy right .

5) Gravity - planets or moons with a lesser gravitational pull than the Earth will result in astronauts having smaller bone and muscle mass, which is a serious problem if they are to come back to Earth. The closer a planet's gravity is to Earth, the less of a problem this is.

6) Atmosphere - Some planets have no atmosphere while some have atmospheres that will crush people(Woah ) .It's easier to deal with low-pressure rather than high-pressure, but both are dangerous if there is an air leak.

7) Distance - the further a planet is from Earth, the harder it is to.

8) Temperature - The hotter or colder a planet is, the more energy it will take to change the temperature(and im not really sure how ).

Explanation:

Refer to the position time graph provided to answer questions #1 thru 5.
1. What is the instantaneous velocity of the object at 5 s?

2. What is the distance the object moves from 0 to 9 seconds?

3. What displacement did the object have between 2 s and 9 s?

4. What was the object's average velocity over the first 5 seconds?
5. How many times does the object change direction of travel? (time zero
does not count and standing still does not count as a direction change)

Answers

Answer:

Explanation:

1). To calculate the instantaneous velocity of the object, we will calculate the slope of the line CD.

  Since line CD is a straight line, therefore, slope = 0

  Hence instantaneous velocity = 0

2). Distance of the object when it moves from 0 to 9 seconds

    = Distance traveled from (A to B + B to C + C to D + D to E)

    = 3 + (3 + 0.5) + 0 + 0.5

    = 7 m

3). Displacement = Distance between initial and the final positions of the object

    = 3 - 0

    = 3 m

4). Average velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

                                 = [tex]\frac{0.5}{5}[/tex]

                                 = 0.1 m per sec

5). Direction changes have been seen at t = 2 sec and t = 4 sec.

   Hence object changed its direction of travel 2 times.

A compass taken to Earth's moon does not point in a specific direction on the moon.
What is the most likely reason for the difference between how the compass works on Earth and on the moon?
A) The moon lacks an atmosphere.
B) The moon contains no rocks that have iron.
C) The moon does not have a strong magnetic field.
D) The moon has no bodies of water.

Answers

Answer:

C.

Explanation:

The moon does not have a strong magnetic field. This  is the most likely reason for the difference between how the compass works on Earth and on the moon. Hence option C is correct.

What is magnetic field  ?

The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. Paramagnetism, diamagnetism, and antiferromagnetism are three additional magnetic effects that a nonuniform magnetic field may have on "nonmagnetic" materials, albeit these forces are often so minute that they can only be detected by laboratory equipment. Electric currents, such those utilised in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetised objects.

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Carlos runs with velocity \vec{v}v →= (5.6 m/s, 29o north of east) for 10 minutes. How far to the north of his starting position does Carlos end up? (Give your answer to the nearest meter)

Answers

Answer:

1629 metres

Explanation:

Given that Carlos runs with velocity v = (5.6 m/s, 29o north of east) for 10 minutes.

To the north, the velocity will be:

V = 5.6 × sin 29

V = 2.715 m/s

Convert the time to second

Time = 10 × 60 = 600

Using the formula below

Velocity = distance/ time

Substitute all the parameters into the formula

2.715 = distance/600

Distance = 2.715 × 600

distance = 1629 m

An open system starts with 52 J of mechanical energy. The energy changes
to 45 J of mechanical energy and 2 J of thermal energy. What is the final total
energy of the system?
A. 50 J
B. 54 J
C. 47 J
O D. 9 J

Answers

Answer:

ITS C 47

Explanation:

The answer is C. 47 J

please someone help me.
A car starts to move from rest after 5 seconds its velocity becomes 15m/s, find the acceleration of the car.​

Answers

Answer:

acceleration of the car is 3 m\s^2

Explanation:

from rest means the initial velocity (vi) is zero

time = 5s

final velocity (vf) = 15m\s

a = vf - vi \ t

a = (15-0) \ 5

a= 3 m\s^2

which means that the car is speeding up 3 meters every second

Answer:

3m/s

Simple

Explanation:

Solution,

U=0

Velocity=15m/s

Time=5 sec

Now,

Acceleration=V-U÷T

=15m/s-0÷5

=15m/s÷5

=3m/s

Hence, the acceleratiob of the car is 3m/s.

What is the average velocity of an object that moves from 7.3 cm to 4.1 cm relative to the origin in 2.5 s
PLEASE HELP ME I DONT WANT TO FAIL

Answers

Answer:1 7/25

Explanation:take the total distance7.3-4.1 then divide by the total time taken

The average velocity of the object is equal to -1.28m/s relative to the origin when it moves for 2.4 seconds.

What is average velocity?

Average velocity is a vector quantity and is defined as the change in position (∆x) divided by the time intervals (∆t) in which it occurs. The average velocity can be positive or negative and the S.I. unit of average velocity is m/s.

The average velocity of an object = ∆x/∆t

The average velocity of an object involves only the displacement of the object. However, the magnitude of the displacement of an object can be different from the actual path length.

Given, the displacement of the object = final position - initial position

∆x = 4.1 - 7.3 = -3.2m

The time, ∆t = 2.5 - 0 = 2.5 s

The average velocity of the object = ∆x/∆t = -3.2/2.5 = -1.28 m/s

Therefore, the average velocity of the object is -1/28 m/s relative to origin.

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Basketball is __________ to the United States

Question 4 options:

Native


Foreign


New


Unknown

Answers

Answer:

native

Explanation:

bc it was started when we were playing it with baskets

Convert 540 cg= ____ Hg

Answers

540 centigram is 0.054 hectograms

what type if data do you call it when a scientists mesure the length of the growing root tip and determine the rate a particular reaction​

Answers

Root mass
Grid intersect technique remove plants from soil
Trace the roots on paper, measure each of the tracing

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.

A ball is dropped from rest from a high window of a tall building and falls for 4 seconds. Neglecting air resistance, the final velocity of the ball is?

Answers

Answer:

The final velocity of the ball is 39.2 m/s.

Explanation:

Given that,

A ball is dropped from rest from a high window of a tall building.

Time = 4 sec

We need to calculate the final velocity of the ball

Using equation if motion

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

Where, v = final velocity

u = initial velocity

g = acceleration due to gravity

t = time

Put the value into the formula

[tex]v=0+9.8\times4[/tex]

[tex]v=39.2\ m/s[/tex]

Hence, The final velocity of the ball is 39.2 m/s.

What force is needed to accelerate a 90 kg punching bag 13 m/s2?

Answers

Answer:

The answer is 1170 Newton

Explanation:

Force =. Mass × Acceleration

= 90 × 13

= 1170 Newton

A car with a mass of 1,200 kg travels a distance of 150 m as it moves from
one stoplight to the next. At its fastest, the car travels at 22 m/s. What is its
kinetic energy at this point?
A. 290,400
B. 8,872 J
C. 580,800 J
D. 13,200 J

Answers

Answer:

A. 290,400

Explanation:

The kinetic energy of a car is 290,400J.

How to find Kinetic energy?

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v2.

ke = 1/2mv^2

By using the formula, we get

= 1/2 * 1200 * 22^2

= 600 * 484

= 290,400 J

Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.

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20 POINTS! ANSWER CORRECTLY FOR BRAINLIEST!

Which of these is a similarity between a polar and a subtropical jet stream?
A. Both are formed at latitudes close to the poles.
B. Both are formed at latitudes close to the equator.
C. Both are formed at the boundary of warm and cool air masses.

(D not included because I know for a fact it is incorrect, I honestly think the answer is C but I just want other peoples opinions)

Answers

Answer:

C, Both are formed at the boundary of warm and cool air masses.

Answer:

c

Explanation:

One way to decrease acceleration is to
a. increase mass
b. decrease mass
c. decrease force and mass equally
d. increase force more than mass

Answers

To decrease acceleration is to increase mass and to increase acceleration u have to decrease ur mass

Uncle Fester's CD's

Congratulations, your uncle fester has just willed you his CD collection!!! Using what you know about classification, see if you can arrange these CDs into similar groups to make them easier for your customers to find. Make a list of four groups that these CDs can be classified into.

The rest of the graph looks like this but here are the CD's for group 3 and Group 4.

Group 3
The Beatles
Beyonce
Alicia Keys
Carrie Underwood

Group 4
Bach
Blake Shelton
Beach Boys
Post Malone


I am having trouble with the graph.​

Answers

Answer: hey

Explanation:

hey can anyone help me out in dis

Answers

Answer:

A) moving randomly

B) collide into each other

D) high kinetic energy

Explanation:

Gas particles move very fast (high kinetic energy) and in unpredictable directions (moving randomly). They also collide into each other.

I hope this helps!  If it does, a Thanks or brainliest would be much appreciated :)

Which ball has the greater acceleration at the instant of release?
Ball thrown upward or downward

Answers

They're equal.

Ignoring air resistance, any object you're not holding onto has the same, constant acceleration ... 9.8 m/s^2 down ... from the moment it leaves your hand until the moment it hits the ground.

It doesn't matter how heavy the object is, and it doesn't matter whether you throw it up, down, or sideways, or just let go and let it drop.

Explain what you know about the current structure of the atom. Be sure to include the following:
1. What parts of the atom are located INSIDE the nucleus?
2. What parts of the atom are located OUTSIDE the nucleus?
3. What is the charge (positive/negative/neutral) inside the nucleus?
4. What is the overall charge (positive/negative/neutral) of an atom?

Answers

I think 3:))))) have a goood daaay

Physical science
convert 43 cg to mg

Answers

Answer:

430

Explanation:

converted it to cg then to mg

If a boat goes from 30 km/h to 50 km/h over the next 4 h, what is its acceleration? 30-50/4

Answers

Acceleration = (change in speed) divided by (time for the change)

Change in speed = (50 km/h)-(30 km/h)

Change in speed = 20 km/h

Acceleration = (20 km/h) / (4 h)

Acceleration = 5 km per hour-squared

PLEASE HELP*******
use the table to find the acceleration of the object for the time interval 1.0 to 4.0 seconds ​

Answers

Answer:

acceleration for time interval from 1 sec to 4 second is 1.5 metre/second^2

mark it as brainliest!!

1. What types of emergency situations could
rescue workers be in that would make it
difficult for them to get energy to their
electrical devices?

Answers

Answer:

  large-scale natural disasters

Explanation:

The niceties of civilization are generally unavailable over wide areas when they are affected by ...

hurricanesearthquakestornadoes

Such situations often require rescue workers.

Situations such as:

natural disasters, such as flooding.fire disasters

First, we wonder, who are rescue workers? Basically speaking, a rescue worker is anyone who is trained to bring people out of any harm, danger, or threat that may come their way.

|n such emergency situations, power lines are usually down, and so it may be difficult for them to get the energy needed to power their  electrical devices.

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