You have made someone very angry! After a brief struggle, three thugs manage to get you shackled to a heavy steel ball and throw you into the river. You sink to a depth of 6.1 m. Because of the hydrostatic pressure at that depth, your body is squished to 92 % of its original volume. The entire process of your being tossed into the river results in the release of 130 J of heat from your body. Fortunately, you manage to escape and swim to shore. Then you begin to wonder about the change in your internal energy as a result of the entire fiasco.

1) Determine the total pressure on your body, in pascals, when you were at the depth of 6.1 m. Take the atmospheric pressure to be 1.01 × 105 Pa.

2) You approximate your pre-dunking volume to be 0.09 m3. From that, from the pressure, and from the heat your body released during the process, find the change in internal energy of the system (you!), in joules.

Answer:

it would be electromagnetic waves

the puck will  travel 58.30m

Given,

m=0.3kg, Initial velocity=20m/s, final velocity=0, μ=0.35

We know \(F_{f} =\)μmg

\(F_{f} =\) ma, so, ma=μmg,

therefore a=μg=0.35*9.81=3.43 m/\(s^{2}\)

\(v_{f} ^{2} =v_{i} ^{2} -2ad\)

\(d=\frac{v_{i}^{2} }{2a}\)=\(\frac{20^{2} }{2*3.43}\)=58.30m

Observed from a specific point of view and measured according to a specific unit of time, velocity is the direction at which an object is moving and serves as a measure of how quickly its position is changing. Kinematics, the area of classical mechanics that studies how bodies move, uses the concept of velocity as a fundamental building block.

It takes both magnitude and direction to define velocity, a physical vector quantity. The scalar absolute value (magnitude) of velocity is known as speed, and it is a coherent derived unit whose quantity is quantified in the SI. It is claimed that an object is undergoing acceleration if there is a change in speed, direction, or both.

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A hockey puck with mass 0.3 kg is sliding along ice that can be considered frictionless. The puck’s velocity is 20 m/s when it crosses over onto a floor that has a coefficient of kinetic friction = 0.35. How far will the puck travel across the floor before it stops?

Given:

The initial position of the bike, x_i=-300 m

The final position of the bike, x_f=900 m

The time it takes for the bike to move to the final position, t=2 min=120 s

To find:

The speed of the bike.

Explanation:

The speed of an object is the time rate of change of distance.

That is the speed of an object is given by the ratio of the distance to the time.

Thus the speed of the bike is given by,

On substituting the known values,

Final answer:

The average speed of the bike is 10 m/s

Center of mass of the system is,  \(X_{cm}\) = 0.036 m \(Y_{cm}\) = -0.0642 m

The quantity of stuff or material which makes up an item is known as its mass. The unit of measurement is the kilogram, abbreviated as kg. It's crucial to keep in mind that mass differs from weight. While weight varies with changes in gravity, mass never changes.

The amount much matter that makes up every item or body is the greatest way to understand mass. Everything that we can see has mass. Examples of objects with mass include a table, a seat, a bed, a ball, a glass, or even air. The mass of a thing determines whether it is light or heavy.

Mass of the ring = M = 1 kg

Radius of the ring = R = 1 m

Mass of the first bead = m1 = 1 kg

Mass of the second bead = m2 = 1 kg

Mass of the third bead = m3 = 1 kg

Mass of the fourth bead = m4 = 1 kg

Angle between the first bead and the horizontal = A = 49°

Angle between the second bead and the horizontal = B = 50°

Angle between the third bead and the horizontal = C = 70°

Angle between the fourth bead and the horizontal = D = 39°

Position of the first bead = (X1 , Y1)

X1 = RCosA = 1Cos(49) = 0.656 m

Y1 = RSinA = 1Sin(49) = 0.755 m

Position of the second bead = (X2 , Y2)

X2 = RCosB = 1Cos(50) = 0.643 m

Y2 = -RSinB = -1Sin(50) = -0.766 m

Position of the third bead = (X3 , Y3)

X3 = -RCosC = -1Cos(70) = -0.342 m

Y3 = -RSinC = -1Sin(70) = -0.939 m

Position of the fourth bead = (X4 , Y4)

X4 = -RCosD = -1Cos(39) = -0.777 m

Y4 = RSinD = 1Sin(39) = 0.629 m

Center of mass of the ring = (X5 , Y5) = (0 , 0)

Center of the mass of the system = (Xcm , Ycm)

\(X_{c m}=\frac{m_1 X_1+m_2 X_2+m_3 X_3+m_4 X_4+M X_5}{m_1+m_2+m_3+m_4+M}\)

\(X_{c m}=\frac{(1)(0.656)+(1)(0.643)+(1)(-0.342)+(1)(-0.777)+(1)(0)}{1+1+1+1+1}\)

\(X_{cm}\) = 0.036 m

\(\begin{aligned}& Y_{c m}=\frac{m_1 Y_1+m_2 Y_2+m_3 Y_3+m_4 Y_4+M Y_5}{m_1+m_2+m_3+m_4+M} \\& Y_{c m}=\frac{(1)(0.755)+(1)(-0.766)+(1)(-0.939)+(1)(0.629)+(1)(0)}{1+1+1+1+1}\end{aligned}\)

\(Y_{cm}\) =  -0.0642 m

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MTTF or Mean Time to Failure can be calculated using the given data. The term MTTF is often used to describe the expected lifetime of electronic devices and other items.

Here is how to calculate MTTF when given data:(c) Life testing was made on six non-replaceable) electrical lamps and the following results were obtained.

Calculate MTTF.The following data has been given:Number of lamps, n = 6Total time, T = 10000 hoursFailures, f = 2MTTF formula is given as:MTTF = T / n * fWhere, T = total time during which the test was conducted.n = the number of items tested.f = the number of items failed.Using the given data, we can calculate the value of MTTF as follows:MTTF = T / n * f = 10000 / 6 * 2= 1666.67 hoursTherefore, the MTTF of the six non-replaceable electrical lamps is 1666.67 hours.

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Answer:(d) mass

Explanation: The kilogram is the standard mass unit that is used almost globally and is the SI unit of mass. The kilogram weighs 9.8 Newtons under normal conditions on the surface of the Earth, and Newton is the corresponding SI unit of force and weight.

Considering the definitipn of current, voltage, power, and Ohm's law,

The flow of electricity through an object, such as a wire, is known as current (I). Its unit of measurement is amps (A). So current is a measure of the speed at which the load passes through a given reference point in a specified direction.

The conductive force (electrical pressure) behind the flow of a current is known as voltage and is measured in volts (V) (voltage can also be referred to as the potential difference or electromotive force). That is, voltage is a measure of the work required to move a charge from one point to another.

Resistance (R) refers to the resistance or opposition that an element has to the passage of electric current. It is represented by the symbol Ω and indicates the resistance that an element offers to the passage of electricity.

This means that the greater the resistance to the passage of current, the lower the intensity or amount of electricity that passes through this conductor.

The resistance that is measured in ohms.

Ohm's law indicates that the current through a circuit is directly proportional to its voltage or voltage and inversely proportional to the resistance it presents.

Mathematically, Watt's law is expressed:

\(I=\frac{V}{R}\)

So if you want to find resistance, the expression for its calculation is:

\(R=\frac{V}{I}\)

In this case, you know:

Replacing:

\(R=\frac{5.26 V}{0.41 A}\)

Solving:

R= 12.8 ohms

Habiba is right. The resistance is 12.8 ohms.

Learn more:

To find the potential at the center of the equilateral triangle formed by three equal charges (q), we can consider the contributions from each charge and use the principle of superposition. Thus, the potential at the center of the equilateral triangle formed by three equal charges is given by V = 3k ₓ (q / a)

Let's assume that the charges are positive and the distance between each charge and the center of the triangle is also denoted as 'a'.

The potential at the center of the triangle is given by the sum of the potentials due to each charge:

V = V₁ + V₂ + V₃

The potential due to a single point charge q at a distance 'a' is given by the equation:

V = k ₓ (q / r)

Where k is the Coulomb constant (k ≈ 8.988 × 10^9 N m²/C²), q is the charge, and r is the distance from the charge to the point where the potential is being measured.

In the case of the equilateral triangle, each charge is at a distance 'a' from the center. Therefore, we can write:

V₁ = k ₓ (q / a)

V₂ = k ₓ (q / a)

V₃ = k ₓ (q / a)

Substituting these values into the equation for the total potential:

V = V₁ + V₂ + V₃

V = k * (q / a) + k * (q / a) + k * (q / a)

V = 3k * (q / a)

Thus, the potential at the center of the equilateral triangle formed by three equal charges is given by V = 3k ₓ (q / a), where 'k' is the Coulomb constant, 'q' is the charge, and 'a' is the distance between each charge and the center of the triangle

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Answer:

Eliminate D as there is no nonconservative force, then look at each energies before and after. The speed of the book will increase, so kinetic energy is increasing. The height of the book is increasing, so gravitational potential energy is increasing. However, since the spring is becoming decompressed, the elastic potential energy is decreasing.

Explanation:

Answer:

it is A

Explanation:

The movement of a pool ball, after being struck by a cue, is an example of Newton's second law of motion.

According to Newton's second law of motion, an object's acceleration is directly proportional to the magnitude of the applied net force.

Newton's second law of motion is also known as law of momentum. It says that the rate of change of momentum is equal to the net force acting.

The cue ball will stop moving immediately after colliding with a still pool ball if it hits it directly. The other ball, which will now be moving forward at the same speed as the cue ball did before the collision, will have received all of the kinetic energy that was in the first ball.

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The concentration of all species in a 0.100 M H₃PO₄ solution is as follows: [H₃PO₄] = 0.100 M, [H₂PO₄⁻] = 0.045 M, [HPO₄²⁻] = 0.0049 M, and [PO₄³⁻] = 1.0 x 10^-7 M.

Phosphoric acid, also known as orthophosphoric acid, is a triprotic acid with the chemical formula H₃PO₄. In water, the acid disassociates into H⁺ and H₂PO₄⁻. The second dissociation of H₂PO₄⁻⁻ results in the formation of H⁺ and HPO₄²⁻. Finally, the dissociation of HPO₄²⁻ produces H⁺ and PO₄³⁻. The following equations show the dissociation of H₃PO₄:
H₃PO₄ → H⁺ + H₂PO₄⁻
H₂PO₄⁻ → H⁺ + HPO₄²⁻
HPO₄²⁻ → H⁺ + PO₄³⁻
Using the dissociation constants of phosphoric acid, one can calculate the concentrations of all species in a 0.100 M H₃PO₄ solution. [H₃PO₄] = 0.100 M, [H₂PO₄⁻] = 0.045 M, [HPO₄²⁻] = 0.0049 M, and [PO₄³⁻] = 1.0 x 10^-7 M.

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False. The statement that astronomers proved the presence of a supermassive black hole in quasar 2c 856 by observing its center to be completely dark is false.

Astronomers do not prove the presence of a supermassive black hole in a quasar by observing that its center is completely dark. In fact, quasars themselves are powered by supermassive black holes at their centers, which emit intense radiation as matter falls into them. Quasars are extremely bright and energetic objects located at the centers of galaxies. They emit enormous amounts of radiation across the electromagnetic spectrum, including visible light and beyond. The intense emission is due to the superheated matter falling into the black hole and the powerful jets of particles and energy it generates. Observations of a quasar typically reveal a bright and active center, not a completely dark one.

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7. An electric current can perform work as long as there is a battery to produce current, some device to operate, and everything is connected in a complete path.

- An electric current can only flow when there is a closed path in which electrons can move. A complete path is required for charge to flow in a flashlight. Batteries must also be placed so that charge can flow negative to positive, passing through the bulb. This is an example of why an electric current can perform work as long as their is a complete path.

8. Formula of Ohm's law is V = IR (V = Voltage, I = Current, R = Resistance).

Amp or ampere is used for measuring current. It's the International Unit.

Potential difference is defined as the amount of work done in moving unit positive charge from one point to another.

It SI unit  is volt.

Volt = Joule/Coulomb

9. A step down transformer has more turns of wire on the primary coil and less turns of wire on the secondary coil. This makes a smaller induced voltage in the secondary coil.

10. The gravity force has the same shape as Coulomb's law for electric charge forces, i.e., it is an inverse square law force that depends on the product of the two interacting sources. Coulomb's and gravitational forces are both directly proportional to the product of the body's charges and masses. Coulomb's and gravitational forces are both inversely proportional to the square of the distance between them. Both of these factors are central.

11. When two items rub together, such as your hair and the balloon, one loses part of its electrons to the other. As a result, one object is positively charged while the other is negatively charged. The opposites are then drawn to one other.

12.   The heating of the steaming hot bath is actually having negative effects on the magnetism and magnetic field of the magnet. To explain further: As a result, heating a magnet breaks the domain walls, making it easier for magnetic domains that are normally aligned to spin and become misaligned. They are now less aligned and point in the opposite direction to their neighbors, resulting in a drop in magnetic field and magnetism loss.

13.  When current flows, it generates a magnetic field surrounding the wire, which may be calculated using the right hand thumb rule. Magnetic fields can be represented by lines of force. These force lines are similar to rubber bands. When stretched, they try to shrink. When pressed against one other, they tend to push each other away.

14. When one bulb burns out, it creates an open circuit. Current does not flow in that branch, but it does flow in the parallel circuit's other branch. As a result, the other bulb continues to light. Also, the voltage across the other bulb remains constant, therefore the power given to it remains constant, and it continues to shine with the same brightness. What makes these lights parallel is because one light went out and the others remained bright. To give a better idea, here is a example, Assume that one lamp breaks and the other lamp continues to illuminate. Most homes have their lights wired in parallel. This means that they all receive the full voltage, and if one bulb fails, the others continue to operate. The current from the power source is larger than the current in each branch of a parallel circuit. This is the same case but with 3 lights, so therefore the light connected were parallel.

Answer:

A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.

Explanation:

your welcome

Answer:

The forces of push and pull

Explanation:

In the egg drop experiment, the egg is balanced on top of a toilet paper tube and balanced on a pan. The pan itself is placed on top of a glass of water. When the experimenter uses his hands to push the pan, the force of gravity pulls the egg downwards making it move down, right into the glass of water.

So the two forces which are applied in opposite directions are;

1. The force of push applied horizontally by the hand when it pushes the pan away, and

2. The force of pull caused by gravity which makes the egg move vertically downwards.

Answer:

Forces of push and pull

A 2 kg steel ball is released from rest to swing as a pendulum. When it reaches its lowest point, it collides with a 2 kg block at rest on a shelf. The collision is perfectly elastic, and the coefficient of friction between the block and the shelf is 0.66. The acceleration due to gravity is 9.81 m/s2.

As the pendulum ball swings down and collides with the block, the momentum of the ball is transferred to the block, causing it to move. Since the collision is perfectly elastic, both objects will rebound from each other without losing any kinetic energy. As the block moves, it experiences friction with the shelf, causing it to slow down until it comes to a stop.

To solve this problem, we can use conservation of momentum and conservation of energy. At the moment of collision, the total momentum of the system is conserved. We can set up equations for the momentum of the ball and block before and after the collision, and solve for their final velocities.

Once we have the final velocities of the ball and block, we can use conservation of energy to determine how far the block will travel before coming to a stop due to friction with the shelf. We can set up an equation for the initial kinetic energy of the system and solve for the work done by friction, which is equal to the kinetic energy lost. This work done by friction will cause the block to slow down and eventually come to a stop.

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Answer:

The atomic mass of an element is the average mass of the atoms of an element, according to google. Sum of protons and neutrons in nucleus is the mass number and multiply by 1 amu gives you the mass of the atom

Answer:

Option A.

Explanation:

We define the half time T as the time such that an initial quantity A reduces to its half.

So we can model the quantity as a function of time like:

P(t) = A*e^(-k*t)

Then for the half time, T, we will have:

P(T) = A/2 = A*e^(-k*T)

solving for k, we get:

A/2 = A*e^(-k*T)

1/2 = e^(-k*T)

ln(1/2) = ln( e^(-k*T)) = -k*T

-ln(1/2)/T = k

Here we know that the half time is T = 26.5s

if we input that in the above equation, we get:

-ln(1/2)/26.5s = k = 0.0262 s^-1

Then the correct option is A

Answer:

18000

Explanation:

To multiply (6.0 x 10^-5) by (3.0 x 10^8), we can multiply 6 by 3 and then 10^-5 by 10^8.

Then

(6.0 x 10^-5)(3.0 x 10^8) = (6.0x3.0) x (10^-5 x 10^8)

(6.0 x 10^-5)(3.0 x 10^8) = 18 x 10^3

(6.0 x 10^-5)(3.0 x 10^8) = 18000

Therefore, the answer is 18000

The example provided, where Isaac Newton showed that the same laws govern motion in both realms of Earth and space, best fits the theory of explanation known as Causal Unifications'.

Causal Unifications theory aims to explain phenomena by identifying common causes or underlying principles that apply to seemingly distinct phenomena. In this case, Newton's discovery of the laws of motion demonstrated that the same fundamental principles govern both celestial and earthly motion.

To summarize, the example of Isaac Newton demonstrating that the same laws govern motion on Earth and in space aligns with the Causal Unificationist theory of explanation, which seeks to identify common causes or underlying principles that apply to seemingly distinct phenomena. By discovering the laws of motion, Newton provided a unified explanation for motion in both realms, challenging the previous belief in separate laws for celestial and earthly motion.

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Answer:

Explanation:

Nosebleeds can be caused by being up in a very high altitude. As you climb higher, the amount of oxygen in the air decreases. This makes the air thinner and dryer, which can in turn cause the inside of your nose to crack and bleed.

In Sound Navigation and Ranging (SONAR), the sound wave is transmitted through water and it will reflect by hard surfaces. Option B) is correct.

SONAR is used to create nautical charts, find underwater navigation hazards, search for and map things on the seafloor such as shipwrecks and map the seafloor itself, waves are transmitted into the waver and reflected by hard surfaces.

The transmission and receiving of sound waves are involved in active sonar. For example, when a submarine is used to map the topography of the ocean floor.

It emits sound pulses known as pings towards the bottom of the ocean in its area.

Thus, 'Sound is transmitted through water and reflected by hard surfaces is the correct option'.

The question is incomplete. The options are missing in the question. They are A) Sound is transmitted through the water and diffracted by hard surfaces. B) Sound is transmitted through the water and reflected by hard surfaces. C) Sound is diffracted through the water and transmitted by hard surfaces. D) Sound is diffracted through the water and reflected by hard surfaces.

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Answer:The temperature of a piece of Metal X with a mass m of 95.4g increases from 25.0°C to 48.0°C as the metal absorbs 849 J of heat.

Explanation:

The three longest wavelengths for standing sound waves in a 135-cm-long tube under the given conditions are as follows:

1. Tube Open at Both Ends:

In a tube that is open at both ends, the longest wavelength (λ) corresponds to the fundamental frequency, also known as the first harmonic. The formula for the wavelength of the fundamental frequency in an open-open tube is:

λ1 = 2L

Given that the tube length (L) is 135 cm, we can calculate the wavelength:

λ1 = 2(135 cm) = 270 cm

Therefore, the longest wavelength for standing sound waves in a tube open at both ends is 270 cm.

For higher harmonics (2nd, 3rd, etc.), the wavelengths will be multiples of the fundamental wavelength, so the next two longest wavelengths in an open-open tube would be:

λ2 = λ1 / 2 = 270 cm / 2 = 135 cm

λ3 = λ1 / 3 = 270 cm / 3 ≈ 90 cm

2. Tube Open at One End, Closed at the Other:

In a tube that is open at one end and closed at the other, the longest wavelength (λ) corresponds to the second harmonic, as the first harmonic is not possible in this configuration. The formula for the wavelength of the second harmonic in an open-closed tube is:

λ2 = 4L

Using the given tube length (L) of 135 cm, we can calculate the wavelength:

λ2 = 4(135 cm) = 540 cm

Therefore, the longest wavelength for standing sound waves in a tube open at one end and closed at the other is 540 cm.

For higher harmonics (3rd, 4th, etc.), the wavelengths will be multiples of the second harmonic wavelength, so the next two longest wavelengths in an open-closed tube would be:

λ3 = λ2 / 3 = 540 cm / 3 ≈ 180 cm

λ4 = λ2 / 4 = 540 cm / 4 = 135 cm

To summarize:

For a tube open at both ends: Longest wavelengths are 270 cm, 135 cm, and approximately 90 cm.

For a tube open at one end and closed at the other: Longest wavelengths are 540 cm, approximately 180 cm, and 135 cm.

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To travel a distance of 400 m the car will take a time of: 8.944 s

The formulas and procedures we will use to solve this exercise are:

Where:

Information about the problem:

Applying the final velocity formula  we have:

vf = √ (vi² + 2 * a * x)

vf = √ ((0 m/s)² + 2 * 10.0 m/s² * 400 m)

vf = √ (0 m²/s² + 8000 m²/s²)

vf = √(8000 m²/s²)

vf = 89.44 m/s

Applying the time formula we have:

t = (2 * x)/ (vi + vf)

t = (2 * 400 m)/ (0 m/s + 89.44 m/s)

t = 800 m / 89.44 m/s

t = 8.944 s

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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The one-dimensional scan is called an A-scan (Amplitude scan). It measures the time it takes for sound waves to reach a structure and reflect back to the source.

1. The A-scan emits sound waves from a transducer.
2. These sound waves travel through the medium, such as air or tissue.
3. Upon encountering a structure, the sound waves are reflected back.
4. The transducer then receives the reflected waves.
5. The time it takes for the waves to return is measured.
6. This information is displayed as a one-dimensional graph, where the x-axis represents time and the y-axis represents amplitude.

In summary, an A-scan is a one-dimensional ultrasonic technique that helps determine the distance to a structure by measuring the time it takes for sound waves to travel and reflect back to the source.

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The star with the highest temperature would have its peak wavelength shifted farthest towards the blue end of the spectrum.

According to Planck's law, the peak wavelength of the radiation emitted by an object is inversely proportional to its temperature. In other words, as the temperature increases, the peak wavelength shifts towards the shorter (bluer) end of the spectrum.

Therefore, the star with the highest temperature would have its peak wavelength shifted farthest towards the blue end of the spectrum. Hotter stars emit more blue and ultraviolet light, while cooler stars emit more red and infrared light.

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Since energy can neither be destroyed nor created, a difference between the inputs and outputs in a system indicates an inefficient system. This means that the energy input does not equal the energy output.

What does efficiency mean in a system? Efficiency refers to the amount of energy required to perform a specific task or the amount of energy that is converted into useful work. An efficient system uses the least amount of energy to produce the maximum amount of work while minimizing the amount of waste generated. Difference between the inputs and outputs in an inefficient system When there is a difference between the inputs and outputs in a system, it is an indication of inefficiency.

 In an inefficient system, some of the energy input is converted into waste or unusable energy instead of useful work. As a result, less work is produced per unit of energy input. This is a sign that the system is not performing optimally and needs improvement. Example of an inefficient system An example of an inefficient system is an incandescent light bulb. This type of bulb converts only about 10% of the energy input into useful light, with the remaining 90% being wasted as heat.

 As a result, these bulbs are highly inefficient and have been phased out in favor of more efficient alternatives such as LED and CFL bulbs.

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Answer: 2 J

Explanation: Work is defined as the energy exerted by an object when a force acts on it. The formula to find the work is

W = F .d

where, F = force applied

d = displacement

In the given question,

F = 20 N

d = 0.1 m

Hence, Work done, W = F.d

= 20 x 0.1

= 2 Nm

= 2 J