Three equally charged spheres are placed as shown below. A force of 6.0 × 10 N acts between spheres X and Y. The charges on the spheres have the same sign. Calculate the net force acting on sphere Y.

Answer:

w = 252.32 N

Explanation:

given data

balloon expand = 50 times its original size

we consider here  initially pressure and volume

pressure = 645 pa

volume = 0.10 m³

solution

as in isothermala process ideal gas

PV = mRT

P = \(\frac{mRT}{v}\)

P = \(\frac{c}{v}\)

here c is constant

so work done is express as

\(w = c \int\limits^{V2}_{V1} {\frac{dv}{v}}\)  

w = \(c \times ln( \frac{v2}{v1})\)

and we know c  = p1 × v1

so

w = p1 × v1 × \(ln (\frac{50v1}{v1} )\)

w = 645 × 0.1 × ln(50)

w = 252.32 N

Answer:

1.56×10¯¹⁰ V.

Explanation:

From the question given above, the following data were obtained:

Capicitance (C) = 0.9 MF

Quantity of electricity (Q) = 1.4x10¯⁴ C

Potential difference (V) =?

Next, we shall convert 0.9 MF to farad (F). This can be obtained as follow:

1 MF = 10⁶ F

Therefore,

0.9 MF = 0.9 MF × 10⁶ F / 1 MF

0.9 MF = 9×10⁵ F

Finally, we shall determine the potential difference. This can be obtained as follow:

Capicitance (C) = 9×10⁵ F

Quantity of electricity (Q) = 1.4x10¯⁴ C

Potential difference (V) =?

Q = CV

1.4x10¯⁴ = 9×10⁵ × V

Divide both side by 9×10⁵

V = 1.4x10¯⁴ / 9×10⁵

V = 1.56×10¯¹⁰ V

Therefore, the potential difference is 1.56×10¯¹⁰ V.

This question involves the concepts of the derivatives, displacement, velocity, and acceleration.

The acceleration of mass after 3.56 s is "-0.465 m/s²".

First, we will find the velocity function by taking the derivative of the displacement function with respect to time:

\(\frac{d}{dt}x(t)=v(t)=\frac{d}{dt}[0.030\ Cos(4t)]\\\\v(t)=-0.12\ Sin(4t)\)

Now, we will find the acceleration function by taking the derivative of the velocity function with respect to time:

\(\frac{d}{dt}v(t)=a(t)= \frac{d}{dt}[-0.12\ Sin(4t)]\\\\a(t)=-0.48\ Cos(4t)\)

At t = 3.56 s:

a(3.56) = -0.48 Cos(14.24)

a(3.56) = - 0.465 m/s²

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The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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Answer:

a

Explanation:

the plane is not going up and the rest are true

A mass on a string of unknown length oscillates as a pendulum with a time period of 4.00 s. If the mass is doubled, the time period will not change as time period is independent of the mass.

When the length of the string is doubled, the period is 5.656s.

The relationship between the period and the length of the pendulum is given as,

\(T = 2\pi \sqrt{l/g}\)

or, \(\frac{T1}{\sqrt{l1} } = \frac{T2}{\sqrt{l2} }\)

or, T2 = 5.656 s.

When the string length is halved, the time period is 2.83 s. It is calculated using the same equation given above.

The time period of oscillation of pendulum is independent of the amplitude. Hence, there won't be any changes if amplitude is halved.

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The correct answer is (b) increased radius and decreased surface temperature. When a star moves off the main sequence of the Hertzsprung-Russell (HR) diagram, its internal structure and energy generation mechanism change.

Specifically, the star's core begins to contract and heat up while the star's outer layers expand and cool down. This causes the star to increase in radius and decrease in surface temperature, which means that option (b) is the correct answer.

The increase in radius and decrease in surface temperature also lead to a decrease in the star's luminosity, which is an option (d). However, this does not mean that the star is no longer undergoing nuclear fusion in its core. In fact, the increase in core temperature can cause new fusion reactions to occur, producing heavier elements in the star's core.

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Answer:

1.) Q T U W 

Explanation:

1.) QTUW

2.) UW

3.) QU

4.) QTUC

According to first law of thermodynamics

dU = Q - W

Where

dU = change in internal energy

Q = heat added

W = work done by the system

2.) UW

Work is been done on the system. The pressure will surely distort the internal energy of the system

Pressure = Force/area.

3.) QU

The melting process begins because the air temperature around the ice cubes is warmer

The solid ice particles absorb heat energy from the warmer air, giving the particles energy and enabling them to move away from one another.

4.) Chemical reaction can be exothermic or endothermic which involves absorption or release of heat. Since it is subjected to small spark, there is definitely a change in internal energy.

In this exercise we have to have knowledge about thermodynamics in order to identify the alternatives that are correctly classified, so we can say that:

1.) QTUW

2.) UW

3.) QU

4.) QTUC

According to first law of thermodynamics:

\(dU = Q - W\)

Where:

1.) The first alternative corresponds to:

In other words QTUW.

2.) The second alternative corresponds to:

Work happen been finished ahead of the system. The pressure will without doubt deform the internal strength of bureaucracy:

\(Pressure = Force/area\)

In other words UW.

3.) The third alternative corresponds to:

The softening process begins cause the air coldness of some degree around the frozen water cubes happen warmer The complete frozen water particles take in heat strength from the warmer air, bestowing the piece energy and allowing to happen them to move out each one.

In other words QU.

4.) The fourth alternative corresponds to:

Chemical reaction maybe exothermic or endothermic that involves assimilation or release of heat. Since it happen commit small spark, skilled happen certainly a change in within strength.

In other words QTUC

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There would be 1 marker that measures 5 inches but less than 6.75 inches.

A "marker" refers to a writing instrument commonly used for making marks or writing on surfaces such as paper, whiteboards, or blackboards. Markers typically consist of a tube or barrel filled with ink or a similar liquid, which is dispensed through a tip or nib when applied to a surface. Markers are available in various colors and are commonly used in art, office work, education, and other activities where writing or drawing is involved.

To determine the number of markers that measure 5 inches but less than 6.75 inches, we need to find the range of marker lengths that fall within this interval.

The range between 5 inches (inclusive) and 6.75 inches (exclusive) can be calculated by subtracting 5 from 6.75, which gives us 1.75 inches.

If we assume that the marker lengths can have decimal values, we can round down 1.75 to the nearest whole number to get the number of markers within this range.

Therefore, there would be 1 marker that measures 5 inches but less than 6.75 inches.

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When a body of mass 12kg travelling at 4.2m/s² collides with a second body of mass 18kg at rest, their common velocity after the collision is 1.68 m/s.

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Answer:

163n

Explanation:

Weight is force due to gravity, weight of object is 980 N

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

Weight = mass.gravity

Weight = 100*9.8

Weight = 980 N

Weight is force due to gravity, weight of object is 980 N

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Answer:

Explanation:

s(t) = -16t2 + 8√t

A )

Average velocity

s(t) / t = (-16t2 + 8√t)/t

A(t)= -16t +  8 / √t

average velocity of the ball for t near 4.

A(t) =  -16t +  8 / √t

          Lt t⇒4

B )

Distance covered in 4 s

-16t2 + 8√t

= - 16 x 16 + 8 x 2

= - 240

Distance covered in 5 s

= - 16 x 25 + 8 √5

= -400 + 17.88

= -382.12

distance covered in duration from 4 to 5 sec

= -142.12

velocity = - 142.12 / 1 = - 142.12 m /s

Distance covered in 4.5 s

= -16 x 4.5² + 8√4.5

= -324 + 16.97

= -307

distance covered during 4 to 4.5

= 67

velocity during 4 to 4.5

= -67 / .5

- 134 m /s

distance covered in 4.05 s

-16 x 4.05² + 8√4.05

-262.44 + 16.1

-246.34

distance covered during 4 to 4.05

= -6.34

velocity during 4 to 4.05

= -6.34 / .05

- 126.8 m /s

C )

Instantaneous velocity at t = 4

= - 120 m /s

(A) As 't' approaches to 4s, the formula of average velocity is

\(v_{avg} _{|(t\rightarrow4)}=Lim_{|(t\rightarrow4)}[-16t+ \frac{8}{\sqrt{t}} ]\)

(B) The average velocity for the time interval starting at t = 4 with a duration of 1 second is \(142.11\,m/s\).

The average velocity for the time interval starting at t = 4 with a duration of 0.5 seconds is \(-134.058\,m/s\)

The average velocity for the time interval starting at t = 4 with a duration of 0.05 seconds is \(-126.8\,m/s\).

(C) The instantaneous velocity of the ball at 4s is \(-126\,m/s\).

The answers are explained as follows.

Given that the distance is a function of time.

\(s(t)=-16\,t^2\,+\,8\sqrt{t}\)

(A) The average velocity can be given by,

\(v_{avg}=\frac{-16\,t^2\,+\,8\sqrt{t} }{t} =-16t+ \frac{8}{\sqrt{t}}\)

As 't' approaches to 4s, the formula becomes;

\(v_{avg} _{|(t\rightarrow4)}=Lim_{|(t\rightarrow4)}[-16t+ \frac{8}{\sqrt{t}} ]\)

(B) We know that the average velocity or in this case speed is the total distance by the total time taken.

Distance covered in 4 s can be found by putting \(t=4s\) in the distance formula.

Distance covered in 5 s can also be found by the same method

Therefore, the distance covered in from 4 to 5 seconds is;

Distance covered in 4.5 s is given by,

Therefore, the distance covered in 4 to 4.5 seconds is;

Distance covered in 4.05 s is given by,

Therefore, the distance covered in 4 to 4.05 seconds is;

(C) The instantaneous velocity of the ball can be found by differentiating the function \(s(t)\).

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Answer:

1.37 mm²

Explanation:

From the image attached below:

Let's take a look at the two rays r and r' hitting the same mirror from two different positions.

Let x be the distance between these rays.

\(d_o =\) distance between object as well as the mirror

\(d_{eye}\) = distance between mirror as well as the eye

Thus, the formula for determining the distance between these rays can be expressed as:

\(x = 2d_o tan \theta\)

where; the distance between the eye of the observer and the image is:

\(s = d_o + d_{eye}\)

Then, the tangent of the angle θ is:

\(tan \theta = \dfrac{R}{d_o+d_{eye}}\)

replacing \(tan \theta = \dfrac{R}{d_o+d_{eye}}\) into \(x = 2d_o tan \theta\), we have:

\(x = 2d_o \Big( \dfrac{R}{d_o+d_{eye}}\Big)\)

\(x = 2(10) \Big( \dfrac{0.25}{10+28}\Big)\)

\(x = 20\Big( \dfrac{0.25}{38}\Big) cm\)

x = (0.13157 × 10) mm

x = 1.32 mm

Finally, the area A = π r²

\(A = \pi(\frac{x}{2})^2\)

\(A = \pi(\frac{1.32}{2})^2\)

A = 1.37 mm²

Answer:

Option (a).

Explanation:

Let the angular velocity is w.

The centripetal acceleration is given by

\(a = r w^2\)

where, r is the distance between the axle and the spoke.

So, more is the distance more is the centripetal acceleration.

(a) For the points on the spoke closer to the hub than for points closer to the rim is larger distance, so the centripetal force is more.

The statement is true.  

(b) The direction of centripetal acceleration is always towards the center, so the statement is false.

(c) It is false.

(d) It is false.

Option (a) is correct.

The statement that best describes the relative stability of the nuclides is "Nuclide B is less stable and is more likely to undergo radioactive decay".

option D is the correct answer.

A nucleus is stable if it cannot be transformed into another configuration without adding energy from the outside.

The two main factors that determine nuclear stability are the neutron-proton ratio and the total number of nucleons in the nucleus.

The nucleus of an atom is unstable if the neutron-proton ratio is less than 1:1 or greater than 1.5.

From the information we can conclude the following;

Radioactive decay is a spontaneous disintegration of unstable nucleus of an atom.

Thus, the nuclide with less stability will undergo radioactive decay and option D is the correct answer.

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Battery-powered clocks and Washing machines are objects that transform chemical energy into mechanical energy.

Chemical energy is a type of energy that is stored in the bonds of a chemical. It is converted into thermal energy when people burn wood or burn gasoline in the engine of a car. Mechanical energy is a type of energy that is stored in objects by tension. Compressed springs and stretched bands are examples of mechanical energy.

Mechanical energy i.e. kinetic energy or potential energy is the energy that is present in an object in motion or the energy that is stored in objects due to their position. Mechanical energy is a type of renewable energy.

So we can conclude that options A and C are the correct answers.

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Answer:

How does Buddhism differ from Hinduism?

A.

Hindus believe in the notion of karma, while Buddhists reject it.

B.

Hinduism originated in India, while Buddhism originated in Sri Lanka.

C.

Hindus believe in the process of reincarnation, while Buddhists don't.

D.

Hinduism is polytheistic, while Buddhism doesn’t have gods and goddesses.

Explanation:

The left vertical line part of the diagram indicates the amplitude of the wave.

The amplitude of a wave or vibrating body is defined as the maximum displacement or distance generated by a point on the wave or body compared to its position of equilibrium. It is the same as the length of the vibration path divided by half.

The wave's amplitude is shown by the left vertical line in the figure, which depicts the highest displacement or distance that a spot on a wave or moving body can make compared to its equilibrium position. So the left vertical line part of the diagram indicates the amplitude of the wave.

The figure of the question is attached.

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Creating a system to effectively solve problems is important as it helps an individual or organization to accomplish the goals and objectives.

The 4 step problem solving process is an important approach for effective problem-solving.The 4 step problem solving process involves the following steps:Identifying the problemGathering information and analyzing the problemIdentifying possible solutionsEvaluating and selecting the best solution to the problem.Some of the benefits that one would like to see in their own life as they begin to apply the 4 step problem solving process are as follows:1. Better decision-making skills: The 4 step problem solving process helps individuals to make better decisions in their personal and professional lives. The process helps an individual to evaluate all possible solutions before choosing the best solution to the problem.2. Effective time management: The 4 step problem solving process helps an individual to solve problems quickly and efficiently, leading to effective time management. It helps an individual to focus on the important aspects of the problem and make quick decisions.3. Improved communication: The 4 step problem solving process involves gathering information, analyzing the problem, and identifying solutions. It also involves communicating with others to get more information or to help evaluate solutions.

Effective communication skills are important in this process, and this can be improved through practicing the 4 step problem solving process.4. Improved problem-solving skills: The 4 step problem solving process helps individuals to develop better problem-solving skills, which is important in both personal and professional life. It helps an individual to think critically and creatively to identify the best possible solutions to a problem. This skill can be useful in various situations, including work, school, and personal relationships.

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If the weather patterns in your location are severe or there is a tornado or something, then there are some safety measures that you can take till the condition does not get normal.

A cumulonimbus cloud and the earth are both in contact with a rapidly spinning column of air known as a tornado. There is no place that is safe from a tornado; it is one of nature's most destructive powers. A tornado's winds, which may reach speeds of over 300 mph, have the power to uproot trees, damage well-built buildings, and turn common objects into deadly missiles. Being ready and vigilant during a tornado is essential to ensuring your safety.

Some measures to take while in Severe Weather conditions or tornados specifically :

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The proportionality constant of the moving object experiencing a drag force is 0.01875 Ns²/m².

The work-energy principle states that the work done on an object is equal to its change in kinetic energy. So, the work done by the drag force can be found as follows:

W = (1/8)mv² - (1/2)mv₀²

where m = mass of the object, v = final speed, and v₀ = initial speed.

The work done by the drag force is also given by the formula:

W = ∫F(x)dx

where F(x) = force function and x = position of the object.

In this case, the force function is F(x) = -Cv², since the drag force is in the opposite direction of motion. So:

W = ∫-Cv²dx

Since the force is proportional to v², rewrite this as:

W = -C∫v²dx

Integrating both sides with respect to x:

W = -(1/3)Cv³

So, equating the two expressions for W:

(1/8)mv² - (1/2)mv₀² = -(1/3)Cv³

Substituting m = 0.01 kg, v₀ = 10 m/s, and solving for C:

C = -(3/8) × (m/v₀³) × (v² - v₀²) = -(3/8) × (0.01/10³) × (1/8 × 10² - 10²) = 0.01875 Ns²/m²

Therefore, the proportionality constant is C = 0.01875 Ns²/m².

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Answer:

The order = \(\mathbf{\sqrt{\dfrac{h}{2 \pi m}} \sqrt[4]{\dfrac{H}{g}} \sqrt[4]{\dfrac{1}{2}} }}\)

Explanation:

To miss the crack at a given distance is apparently not the same as the uncertainty that occurred in the distance while falling from the tower. However, it is believed that the uncertainties in both cases appear to be the same.

So, let's work it out together

According to Heisenberg's uncertainty principle:

\(\Delta s. \Delta p =\dfrac{h}{2} =\dfrac{h}{4 \pi}\)

Also; if we recall from the equation of motion that:

\(v = u + at ---(1) \\ \\ v^2 - u^2 = 2as --- (2) \\ \\ s = ut + \dfrac{1}{2}at^2 --- (3)\)

So, if u = 0 and a = g

Then;

\(v = gt --- (1) \\ \\ v^2 = 2gs - - - ( 2) \\ \\ s = \dfrac{1}{2}gt^2 --- (3)\)

From (2)

Making (s) the subject, we have:

\(s = \dfrac{v^2}{2g}\)

\(s = \dfrac{p^2}{2gm^2}\)

By differentiation;

\(ds = d (\dfrac{p^2}{2gm^2})\)

\(ds = \dfrac{2pdp}{2gm^2}\)

\(\Delta \ s = \dfrac{p \Delta p}{gm^2 }\)

where;

\(\Delta p = \dfrac{h}{4 \pi \Delta \ s}\) from uncertainty principle

This implies that:

\(\Delta s = \dfrac{p(\dfrac{h}{4 \pi \Delta s }) }{gm^2}\)

\(\Delta s = p(\dfrac{h}{4 \pi gm^2 }) \times \dfrac{1}{ \Delta s}}\)

\((\Delta s)^2 = \dfrac{hmv} {4 \pi gm^2 }\)

here;

v = 2gH

So;

\((\Delta s)^2 = \dfrac {h \sqrt{2gH} }{4 \pi gm }\)

\(\mathbf{(\Delta s)^2 = \sqrt{\dfrac{h}{2 \pi m}} \sqrt[4]{\dfrac{H}{g}} \sqrt[4]{\dfrac{1}{2}} }\)

Thus, the order = \(\mathbf{\sqrt{\dfrac{h}{2 \pi m}} \sqrt[4]{\dfrac{H}{g}} \sqrt[4]{\dfrac{1}{2}} }}\)

the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s is  6,000 J. Option C is correct answer.

The kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s can be calculated by using the formula:

K.E = 1/2 mv²

Where, K.E = Kinetic energy of the objectm = Mass of the objectv = Velocity of the object

Putting the given values in the above formula:

K.E = 1/2 mv²K.E = 1/2 × 30 kg × (20 m/s)²K.E = 1/2 × 30 × 400K.E = 6000 joules

The correct answer is C.

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The kangaroo is in the air for approximately 0.667 seconds.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

A kangaroo with a vertical speed of 6.57 m/s may jump over an object 2.20 m high.

To find the time a kangaroo is in the air, we need to calculate the time it takes to reach the peak of its jump and then double that time (to account for both the ascent and descent).

We can use the formula for vertical motion under constant acceleration (g = 9.8 m/s²):

t = √(2h / g)

where h is the height of the jump (2.20 m) and g is the acceleration due to gravity (9.8 m/s²).

Plugging in the values, we get:

t = √(2 × 2.20 m / 9.8 m/s²)

t = √(0.447)

t ≈ 0.667 s

So the kangaroo is in the air for approximately 0.667 seconds.

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A) 5.0 C charge must pass by a point in a wire in 10 s for the current in the wire of 0.50 A current.

Current is the flow of electric charge per unit time. It is measured in amperes (A). The formula for current is:

I = Q / t

Where I is the current, Q is the charge, and t is the time.

In this case, the current is given as 0.50 A, and the time is given as 10 s. To find the charge that must pass by a point in a wire, we can rearrange the formula:

Q = I * t

Therefore, Q = 0.50 A * 10 s = 5.0 C

So, the charge that must pass by a point in a wire in 10 seconds for the current in the wire to be 0.50 A is 5.0 C.

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The addition of vectors allows us to find that the resulting vector is

         c = 17.73 N  with an angle of θ = 21.1º

Giving parameters

To find

Vector magnitudes have magnitude and direction, so their addition must be done using the vector aliebre.

Analytical method is one of the easiest ways to use vectors, it consists of the following parts:

Let's decompose the two vectors into a coordinate system with the horizontal x axis and the vertical y axis, in the attachment we can see a diagram of the vectors

Vector A

            cos 30 = \(\frac{A_x}{A}\)

            sin 30 = \(\frac{A_y}{A}\)

            Aₓ = A cos 30

            \(A_y\) = A sin 30

            Aₓ = 10 cos 30

           A_y = 10 sin 30

            Aₓ = 8.66 N

            A_y = 5.00 N

Vector B

            cos 10 = \(\frac{B_x}{B}\)

            sin 10 = \(\frac{B_y}{B}\)

            Bₓ = B cos 10

            \(B_y\) = B sin 10

            Bₓ = 8 cos 10 = 7.878 N

            B_y = 8 sin 10 = 1.389 N

We perform the algebraic sum

x-axis

            x = Aₓ + B_y

            x = 8.66 +7.878

            x = 16.54 N

y-axis

           y = A_y + B_y

           y = 5.00 + 1.389

           y = 6.39 N

We construct the resulting vector

For the module we use the Pythagoras' theorem

           c = \(\sqrt{x^2+y^2}\)

           c =\(\sqrt{16.54^2 + 6.39^2}\)  

         c = 17.73 N

For the direction we use trigonometry

         tan θ =  \(\frac{y}{x}\)  

         θ = tan⁻¹  \(\frac{y}{x}\)

         θ = tan⁻¹  \(\frac{6.39} { 16.54}\)

         θ = 21.1º

measured counterclockwise from the positive side of the x-axis

In conclusion using vector addition we can find the resulting vector is

         c = 17.73 N     with an angle of θ = 21.1º

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Answer:

An example would be

Explanation:

You have a ball with a mass of 10 kg swinging from a rope arond in a cirlce if we were to change the mass of the ball to 20 kg the kinetic energy would increase because we know the ball has more mass and more mass means ner force increases which is connected to kinetic energy. hope this answer helps!