an
N
What is the sum & in Unit
Vector of the 2
& Vectors
a=4. oi + 3.0j and
vector b=- 13.oi +7.0j What are thee
magnitude and direction of a+bالا​

Answers

Answer 1

Explanation:

Given that,

Vector a = 4i+3j

Vector b = -13i+7j

We need to find the magnitude and direction of (a+b). So,

(a+b) = (4i+3j) + (-13i+7j)

= (4i-13i)+(3j+7j)

= -9i+10j

Magnitude of (a+b).

[tex]|a+b|=\sqrt{(-9)^2+10^2} \\\\=13.45[/tex]

Direction of (a+b),

[tex]\tan\theta=\dfrac{10}{-9}\\\\\theta=\tan^{-1}(\dfrac{-10}{9})\\\\\theta=-48.01^{\circ}[/tex]

Hence, this is the required solution.


Related Questions

A pendulum is swimging. It swings 85 complete swings and this takes 102 seconds. What is the frequency?​

Answers

Answer:

0.833 Hz

Explanation:

While, there are plenty of ways to calculate frequency, the one formula you should use in this case is:

#times/seconds --> 85/102

= 0.833 Hz

Which of the following characteristics indicates a high level of adaptability to change over
time?
A. Needs routines that stay the same
OB. Insists on doing things her own way
C. Not easily influenced by peer pressure
OD. Open to new ideas and experiences

Answers

A is the more obvious one

Longitudinal waves
Transverse waves

Answers

Answer:

In a transverse wave, the particles are displayed perpendicular to the direction the wave travels . in a longitudinal wave the particles are are displayed parallel to the direction the wave travels. an example of longitudinal waves in compressions moving along a slinky.

Why do other stars look much dimmer than the sun?

Answers

A star's brightness also depends on its proximity to us. The more distant an object is, the dimmer it appears. Therefore, if two stars have the same level of brightness, but one is farther away, the closer star will appear brighter than the more distant star - even though they are equally bright!

sun *
a.) the hunter
b.) Pole Star
c.) little bear
d.) pattern of stars
e.) nearest star

Plz help :> <3

Answers

Answer:

E

Explanation:

In some areas, hydroelectric power is not geographically appropriate and a different renewable energy source would be a better option. A conservation group is looking for renewable energy sources other than hydroelectric energy that could be used to generate electricity in grassland ecosystems, such as in the midwestern United States or in a savanna in Africa.

Required:
a. Propose a different renewable resource to use that would be a realistic solution to generating electricity without using fossil fuels or hydroelectric power in a grassland ecosystem.
b. Justify the solution proposed above by explaining a potential advantage of using a different renewable resource to generate electricity.

Answers

Answer:

a) wind power system, turbines powered, solar power system

b) the possibility of creating jobs for the local workforce and of maintaining the environment without damaging it.

Explanation:

In a grassland system it may not have great changes in height or mountain system where it is easy to represent a river, therefore a hydroelectric power system is not very feasible.

a) You can have several alternative energy systems.

* If there is a fairly constant air current, a wind power system could be implemented.

* If there is a river with an acceptable flow, a generation system can be implemented with turbines powered by the river flow.

* Another system is a solar power system

b) To select any of the possible systems proposed, the current and future energy requirements of the region must be analyzed.

The amount of energy that each proposal can supply

Analyze the installation costs and the economic benefits of a given system.

Study the possible problems for the maintenance of each system.

A great advantage of these systems is the possibility of creating jobs for the local workforce and of maintaining the environment without damaging it.

The most plausible renewable energy source in a grassland is wind energy.

Renewable energy refers to energy that is obtained from wind, water biomass or underground heat. All of these sources of energy are inexhaustible and hold great prospect to solving the current energy deficit is many parts of the world.

In grasslands, the most plausible renewable source of energy is wind. Winds are abundant in grasslands . It is more plausible than hydroelectric power because it does not create any adverse environmental impact. It is the cleanest energy source.

Learn more about renewable energy: https://brainly.com/question/4038933

Disadvanlayes and advantager of the and A and B​

Answers

Answer:

Advantages

If there is a fault in one of the electric appliances, the current is able to pass through different paths of the circuit.

Disadvantages

In parallel circuits, we cannot increase the voltage since the resistance decreases in the parallel circuit.

Explanation:

2. The motion of roller coasters depends upon the conversion of potential
and kinetic energy. A 200 kg car starts from rest at the top of a hill with a
height of 30 m.
Which of the following is this car's kinetic energy at the bottom of the hill?

Answers

Answer:

58,800 Joules

Explanation:

I used the formula for Potential energy which is PE = mgh

200 kg x 9.8 m/s^2 x 30 m = 58,800 J

At the very tops of the rollercoaster is maximum PE which is 58,800 J and 0 J of KE, but at the very bottom is maximum KE (kinetic energy) which is 58,800 Joules but 0 J of PE. This is because energy can not be destroyed ONLY converted

A 0.17 kg ball on a 0.70 m string rotates in a circular path in a vertical plane. If the angular speed of the ball at the bottom of the circle is 7.0 rad/s, what is the force that maintains circular motion?

A. 5.6 N
B. 7.5 N
C. 1.7 N
D. 1.2 N

Answers

The answer Is B to the question

A cube measures 2.5 cm in height and has a density of 3.0 g/cm³. What is the mass?

Answers

Answer: mass: 46.875 g

Explanation:

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

density = 3.0 g/cm^3

volume (lwh are all 2.5 since it is a cube) = 2.5^3 = 15.625

mass = ?

[tex]3 = \frac{mass}{15.625}[/tex]

mass = 3*15.625 = 46.875

While hammering a nail, you put in 30 Joules of work. The hammer then puts out 10 J of
work on the nail. What is that hammer's efficiency?

A. 300%

B. 40%

С. 33%

D. 33 J

Answers

Answer:

C    Don't worry if you thought it was D. I almost answered that.

Explanation:

Remark

You can get this just by learning the vocabulary.

Efficiency = Work Out / Work In * 100%

Work in = 30J      That's you swinging the hammer.

Work out = 10 J    That's how much of the hammer's work gets to the nail.

Efficiency = (10/30)*100

Efficiency = 1/3 * 100

Efficiency = 33%

Answer:

I think its 40%, pls correct me if I am wrong :(

Explanation:

On Earth, what can a divergent boundary
cause?
A. An iceberg
B. A plateau
C. A rift valley

Answers

Answer: C

Explanation:

Divergent plate boundary is a linear feature that exists between two tectonic plates that are moving away from each other. Divergent boundaries within continents initially produce rifts, which eventually become rift valleys. Most active divergent plate boundaries occur between oceanic plates and exist as mid-oceanic ridges.

A ray diagram is shown.

A flower is an object in front of a convex mirror. A ray parallel to the principal axis reflects away from the focal point. The second ray goes to the mirror toward the focal point and reflects parallel to the principal axis. The reflected rays are continued onto the other side of the mirror as dashed lines. At the intersection of the two dashed lines is a small upright image of the object in front of the focal point.

Which describes the image?
It is virtual and in front of the mirror.
It is virtual and behind the mirror.
It is real and in front of the mirror.
It is real and behind the mirror.

Answers

Answer:

B. Its virtual and behind the mirror.

Explanation:

Answer:  (B) Virutal, (D) Upright, (E) Smaller.  

Explanation:

Edge Physics B


1. A Zambeef delivery track travels 18 km north, 10 km east, and 16 km south. What is its final displacement from the origin?

Answers

Answer:

10.2 km

Explanation:

Displacement is the shortest distance from your original position after movement.

Now, the Zambeef delivery truck moves 18 km north and then 10 km east and then 16 km south.

This means that vertically the truck is 2km short of the 18 km he travelled north..

So we can find the displacement using pythagoras theorem..

Let d be the distance from the current position to the initial position.

Thus;

d² = 2² + 10²

d² = 4 + 100

d = √104

d ≈ 10.2 km

I have attached a diagram showing the direction of this displacement

Calculate the gravitational pull between the Earth and the Moon

Answers

Answer:

 F = 1.99 10²⁰ N

Explanation:

The gravitational attraction is given by the expression

         F = [tex]G \ \frac{m_1m_2}{r^2}[/tex]  

where G is the constant of attraction 6.67 10⁻¹¹ N m²/kg²

in this case the bodies are the Earth and the Moon

let's calculate

         F = [tex]6.67 \ 10^{-11} \ \frac{ 7.36 \ 10^{22} \ 5.98 \ 10^{24} }{ (3.84 \ 10^8)^2}[/tex].67 10⁻¹¹ 7.36 10 22 5.98 1024 / (3.84 108) 2

         F = 1.99 10²⁰ N

How are particles behaving in solid vs gas when it comes to sound?

Answers

Answer:

Sound waves have to travel through solids, gases, and liquids. Sound waves vibrate through the air in matter. Molecules in solids are packed tightly. This allows sound to travel faster through a solid than gas.

How is Newtons second law apply to the egg drop ?

Answers

Answer:

Newton's Second Law is applied because of the acceleration caused by natural forces as the egg is plummeting to the earth. And the amount of acceleration the egg has will be largely affected by the amount of force Mr. Baker uses to hurl the egg to the ground.

Explanation:

hope that helps

What are three common fossil fuels?
A. coal, oil, natural gas
B. iron, lead, carbon
C. coal, gold, silver
D. solar, wind, water

Answers

Answer:

A. coal, oil, natural gas

Explanation:

this is because those three are related to fossil fuels.

Answer:

A:Coal,Oil,Natural gas

Explanation:

that pfp tho

A 23cm hammer is used to pull a nail. If 42.5 N of force is applied to it at a 45° angle, how much torque is applied?

Answers

Answer:6.91 Nm

Explanation:

Suppose the coefficient of static friction is 0.55 rather than 0.61. is the weight of the pail and sand necessary to start the pumpkin moving in this case greater than, less than or equal to 11 N? calculate the required weight.

Answers

The weight of the pail and sand necessary to start the pumpkin moving in this case is less than 11 N.

What is the force of friction acting the pumpkin?

The force of friction acting on the pumpkin depends on the weight of the pumpkin and the coefficient of static friction.

F = μW

where;

μ is the coefficient of static frictionW is the weight of the pumpkin

The weight of the pumpkin is calculated as follows;

W = mg

where;

m is the mass of the pumpkin = 1.8 kgg is acceleration due to gravity

W = 1.8 kg  x  9.8 m/s²

W = 17.64 N

The static friction force preventing the pumpkin from moving is calculated as follows;

F = μW

F = 0.55 x 17.64 N

F = 9.7 N

Thus, the minimum force required to move the pumpkin is 9.7 N which is less than 11 N.

Learn more about static friction force here: https://brainly.com/question/13680415

#SPJ1

The complete question is blow:

Suppose the coefficient of static friction is 0.55 rather than 0.61. is the weight of the pail and sand necessary to start the pumpkin moving in this case greater than, less than or equal to 11 N? calculate the required weight. mass of the pumpkin is 1.8 kg.

convertion of unit 8.28x10^-2ft m​

Answers

Answer:

yes

Explanation:

no

what is clinograph and how to read it​

Answers


A climograph is a graphical representation of a location's basic climate. Clinograph is an instrument used to draw parallel lines to the inclined lines. It contains one adjustable wing or strip which can be adjusted to required angle. So, it can be termed as adjustable set square

Hope this helps!:)

Answer:

Explanation:

A climograph is a graphical representation of a location's basic climate. Climographs display data for two variables:

(a) monthly average temperature  

(b) monthly average precipitation. These are useful tools to quickly describe a location's climate.

pressure, V is volume , T is temperature of a gas and R is gas constant.
b) Can the sum of two equal vectors be equal to either of the vectors?
Explain​

Answers

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Solve for x in the diagram below.
(4.2 + 50°
150
T =

Answers

Answer:

x = 25

Explanation:

Find the diagram attached

From the diagram,

4x + 50 = 150 (vertically opposite angle)

4x = 150 - 50

4x = 100

x = 100/4

x =25

Hence the value of x is 25

17. The four points built into the camera to ensure that each exposure can be oriented
to the camera calibration are called?
A.
Nodal points
B.
Focal points
C. Focus
D. Fiducial marks
E. None of the above
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Answers

The diameter of the circle is 18 m. Eugene incorrectly says that the circumference of the circle is about 113.04 m. What mistake did Eugene make? Use 3.14 for pi.

When conducting research,
are unintentional factors that creep into your experiment and have the potential to affect or even spoil your results.

a. confounding variables
b. replication digits
c. extrapolating factors
d. independent variables

Answers

Answer:

a. confounding variables.

Explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

In an experiment , the variable being manipulated by an experimenter is known as an independent variable while the dependent variable is the event expected to change when the independent variable is manipulated.

A confounding variable can be defined as a variable that generally influences both the independent and dependent variable in an experiment or research study. Thus, it creates an association between the two variables in an experiment.

Hence, when conducting research, confounding variables are unintentional factors that creep into your experiment and have the potential to affect or even spoil your results.

What happens when weathering and erosion work together?

A. New mountains are created
B. The climate changes overnight
C. Metal objects become rusty
D. They change the earths surface

Plssss help

Answers

Answer:

A. New mountains are created

did anyone do the, kinetic energy lab report in physics?? plzzz help a girl outttttttt i need answerss????ill give you as much brainlist or points

Answers

Answer:

yes

Explanation:

BRAINLEST FOR CORRECT ANSWER
Which has more momentum: a 3 kg sledgehammer swung at 1.5 m/s OR a 4 kg sledgehammer swung at 0.9 m/s? SHOW YOUR WORK FOR BRAINLEST

Answers

Answer:

3kg sledgehammer swung at 1.5 m/s

Explanation:

Small Sledgehammer:

Mass:3.0

Velocity:1.5

MASS×VELOCITY=MOMENTUM

3.0×1.5= 4.5 (momentum)

Large Sledgehammer:

Mass:4.0

Velocity:0.9

4.0×0.9=3.6 (momentum)

higher momentum is the smaller Sledgehammer.

Weight is the amount of matter in an object.
True or False

Answers

Answer:

False

Explanation:

The mass of an object is normally known as the weight of the object. but mass is the amount of matter in the object. Weight is the force exerted on an object by gravity

Answer: False

Explanation: mass is the amount of matter in an object

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