balance the chemical equation
N₂ + 02 → - N₂0​

The formula for energy of a photon in terms of its wavelength, Planck's constant, and the speed of light is:

E = (hc)/λ

We can use dimensional analysis to derive the formula for energy of a photon in terms of its wavelength, Planck's constant, and the speed of light.

A photon's energy can be written as:

E = f × h

where

f is the frequency of the photon and h is Planck's constant.

We know that the frequency of a photon is related to its wavelength and the speed of light by the following equation:

f = c/λ

where c is the speed of light and λ is the wavelength.

Substituting this expression for f into the equation for energy, we get:

E = (c/λ) × h

Now let's check the dimensions of each term in this expression using brackets [] to represent dimensions:

[c/λ] = [L/T] / [L] =[tex][T^{-1} ][/tex]

[h] = [[tex]M L^2 T^{-1}[/tex]]

Therefore, the dimensions of the product (c/λ) × h are:

[tex][T^{-1} ] \times [M L^2 T^{-1} ] = [M L^2 T^{-2} ][/tex]

This is the dimension of energy (which can be expressed as[tex][M L^2 T^{-2} ]).[/tex]

Therefore, we can conclude that the formula for energy of a photon in terms of its wavelength, Planck's constant, and the speed of light is:

E = (hc)/λ

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Answer:

thats gonna be a huge problem

Explanation:

If a 1 MEGATRON nuke falls on ground and explodes upon impact thats uhoh becuase many people can die and many houses will be destroyed.

Displacement includes direction, distance does not

is your answer. hope it helps!

The frequency of a wave is the number of times a wave passes a point in a given amount of time. It is calculated by the formula: f = v/λ, where v is the velocity of the wave and λ is the wavelength of the wave.

Velocity is a vector quantity that measures the rate and direction of an object's change in position over a specific period of time. It is the rate at which an object moves from one point to another, expressed as distance over time. Velocity is commonly expressed in meters per second (m/s) or kilometers per hour (km/h). Velocity is a fundamental concept in physics and is often used to calculate other physical quantities such as force, acceleration, momentum, and kinetic energy. Velocity is a crucial element in the study of motion and is related to the concepts of speed, displacement, and acceleration.

In the given equation, y = 0.75 sin⁡〖(0.67πx-2×10^8 πt)〗

(i) Wavelength: The wavelength of a wave is the distance between two consecutive points of a wave. It is calculated by the formula: λ = v/f, where v is the velocity of the wave and f is the frequency of the wave.

In the given equation, y = 0.75 sin⁡〖(0.67πx-2×10^8 πt)〗

We know that, v = λf

So,

λ = v/f = (2×10^8 πt)/0.67π

 = 3×10^7 t

Therefore, the wavelength of the wave is 3×10^7 t meters.

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Good conductors and bad conductors, also known as insulators, have different properties that make them suitable for various practical applications.

A conductor is a material that allows the flow of electric current, while an insulator (or bad conductor) is a material that resists the flow of electric current.

Good conductors are materials that allow the flow of electric current with low resistance. They are characterized by having a high density of free electrons that can move through the material easily when a voltage is applied. Metals, especially copper, silver, and gold, are good conductors of electricity because they have a large number of free electrons in their outermost atomic shells. Other materials such as aluminum, iron, and graphite are also good conductors, although they may not be as efficient as metals.

Good conductors have a wide range of practical applications in various industries, including electrical wiring, electronics, and energy generation. They are used in everything from electrical cables to electronic devices like smartphones and computers, where their low resistance allows for efficient energy transfer and signal transmission.

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At point C of a pendulum's motion, kinetic energy is converted back into potential energy.

As the pendulum bob moves upward from the lowest point of its swing, its speed decreases and its potential energy increases. At point C, the pendulum bob has stopped momentarily, so it has no kinetic energy. However, it has gained potential energy as a result of its increased height. As the pendulum bob continues to move upward towards point D, its potential energy will continue to increase, while its kinetic energy decreases.

Therefore, the correct answer is D, Kinetic energy is converted to potential energy.

What is  potential energy?

Potential energy is a form of energy that an object possesses due to its position or configuration in a system. It is the energy that an object has because of its position relative to other objects, or because of the forces acting on it.

What is kinetic energy?

Kinetic energy is the energy that an object possesses due to its motion. It is a form of energy that an object has because of its speed and mass. The formula for kinetic energy is:

KE = 1/2 * m * v^2

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

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Tapered springs are designed to be load-bearing structures that can store and release mechanical energy in response to applied forces or loads.

When a tapered spring is suspended with the large diameter end down, it experiences a compressive force due to gravity.

Mechanical energy refers to the energy that an object possesses due to its motion or position. Mechanical energy is conserved in a closed system, meaning that it can neither be created nor destroyed. The formula for kinetic energy is KE = 1/2mv², where m is the mass of the object and v is its velocity.

There are various forms of potential energy, such as gravitational potential energy, elastic potential energy, and chemical potential energy. The formula for gravitational potential energy is PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point.

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In a Maxwell's-demon world, physical processes would be unpredictable, making it difficult to live. However, these strange events don't occur randomly in reality due to the second law of thermodynamics, ensuring predictability and consistency in physical processes.

In a Maxwell's-demon world, where the second law of thermodynamics is violated, it would be very difficult to live if physical processes were unpredictable and inconsistent. For example, if a person couldn't predict the behavior of objects or if the laws of physics randomly changed, it would make it nearly impossible to live in such a world. This would be because the everyday processes and technological devices we rely on wouldn't work consistently, leading to chaos and unpredictability.

These strange events don't happen on a random basis in real life because of the second law of thermodynamics, which states that entropy in a closed system can only increase or remain constant over time. Thus, it is impossible for a system to continuously extract work without a corresponding increase in entropy. Real-life systems are subject to this law, leading to predictability and consistency in physical processes.

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HAMMER. It is utilized to fall to pieces of shisha material privately called (aluminum alloy) for simple liquefying. Forceps. It is a hand instrument commonly utilized for twisting and compacting many materials. Texture Paste, WOOLEN YARN, NEEDLE, SCISSORS, HAND Devices, AND Record Apparatuses.

In fashion, an accessory is a thing used to contribute, in an optional way, to a singular outfit. Accessories are much of the time decided to finish an outfit and supplement the wearer's look.[1] They have the ability to additional express a singular's character and character. Accessories come in various shapes, sizes, tones, and so on. The term came into utilization in the twentieth 100 years.

Fashion accessories can be inexactly ordered into two overall areas: those that are conveyed and those that are worn. Generally conveyed accessories incorporate totes and purses, hand fans, parasols and umbrellas, wallets, sticks, and stately blades. Accessories that are worn may incorporate coats, boots and shoes, cravats, ties, caps, hats, belts and suspenders, gloves, muffs, pieces of jewelry, wristbands, watches,[a] eyewear, bands, cloaks, scarves, cords, socks, pins, piercings, rings, and stockings.[1]

The kind of accessory that an individual decides to wear or convey to supplement their outfit is not entirely set in stone by a few elements, including the particular setting of where the individual is going. For instance, assuming an individual will work their decision of accessory would contrast from somebody who is going out to beverages or supper; along these lines relying upon work or play various accessories would be picked. Likewise, a person's conservative status, the strict and social foundation would likewise be a contributing component

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the complete question is:

what is the Compilation of fashion accessories articles in the Philippines​?

These articles discuss a range of issues regarding fashion accessories in the Philippines, such as up-and-coming accessory firms, sustainable fashion, traditional accessories, and styling advice. Individuals with an interest in Filipino fashion, provide knowledge and inspiration.

The fashion accessories industry in the Philippines is vibrant and diverse. These articles provide valuable insights into various aspects of the industry. From emerging accessory brands and local designers making waves globally to sustainable and traditional accessories, there is something for everyone. Style tips and practical advice are also available for those looking to elevate their accessorizing game. The beauty and craftsmanship of locally-made accessories are celebrated, and options for budget-conscious shoppers are provided. These articles showcase the richness and diversity of the Philippine fashion scene and its contribution to the global fashion industry.

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Answer:

1. The theory of plate tectonics states that the Earth's outer shell is divided into several plates that move and interact with each other. These plates are made up of the Earth's crust and the upper part of the mantle, and they move due to the convection currents in the mantle.

2. Pangaea was a supercontinent that existed about 300 million years ago. It was made up of all the continents that we know today, and it began to break apart about 200 million years ago.

3. Wegener's original idea about continental drift was referred to as intuition and not science because he did not have a mechanism to explain how the continents moved. Additionally, he did not have enough evidence to support his theory.

4. Wegener found several pieces of evidence that he believed supported his theory of continental drift. He noticed that the coastlines of South America and Africa fit together like puzzle pieces, and he also found similar rock formations and fossils on both continents.

Evidence for plate tectonics:

Rock formation evidence: Scientists have found similar rock formations on different continents that were once connected. For example, the Appalachian Mountains in North America and the Caledonian Mountains in Europe have similar rock formations.

Fossil evidence: Scientists have found fossils of the same species on different continents that were once connected. For example, the Glossopteris plant was found in South America, Africa, India, Australia, and Antarctica. This suggests that these continents were once connected and had similar climates.

Glossopteris: Glossopteris was a plant that lived about 250 million years ago. It was found on several continents that were once connected, including South America, Africa, India, Australia, and Antarctica. This suggests that these continents were once connected and had similar climates.

Mesosaurus: Mesosaurus was a freshwater reptile that lived about 300 million years ago. Its fossils have been found in South America and Africa, which suggests that these continents were once connected and had similar habitats.

Cynognathus: Cynognathus was a carnivorous mammal-like reptile that lived about 250 million years ago. Its fossils have been found in South America, Africa, and Antarctica, which suggests that these continents were once connected and had similar habitats.

Lystrosaurus: Lystrosaurus was a herbivorous mammal-like reptile that lived about 250 million years ago. Its fossils have been found in South America, Africa, India, and Antarctica, which suggests that these continents were once connected and had similar habitats.

Glacier and coal deposit evidence: Scientists have found evidence of glaciers and coal deposits in areas that are now near the equator. This suggests that these areas were once located near the poles and have moved due to plate tectonics. Additionally, coal deposits found in Antarctica suggest that it was once located in a warmer climate.

In alphabetical order the sequence will be: Black, Blue, Brown, Yellow.

Character strings are arranged according to their positions in the traditional alphabetical ordering using the alphabetical order method. It is one of the sorting techniques. Lexicographical ordering in mathematics is the extension of alphabetical ordering to other data categories, such as number sequences or other ordered mathematical objects.

The alphabetical order is typically known as a lexicographical order when applied to strings or sequences that may also contain digits, numbers, or more complex kinds of elements.
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Rearranging the letters in COLOR LOCK while assigning colors based on their first letter yields the sequence COKLORC.

Assigning colors based on the first letter of each letter in COLOR LOCK results in the following sequence: COKLORC. The first letter "C" can be assigned to the color cyan, which is a combination of blue and green. The letter "O" can be assigned to the color orange, which is a warm color made from a mix of red and yellow. The letter "K" can be assigned to the color black, which is a classic and versatile hue. The second "L" can be assigned to the color lavender, which is a light shade of purple. The "O" can be assigned to the color olive, which is a yellowish-green hue. The letter "R" can be assigned to the color red, which is a vibrant and energetic color. Lastly, the letter "C" can be assigned to the color cyan once again.

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Entropy changes that are positive (+) indicate more chaos. The entropy of the universe is increasing. The entropy of a universe increases whenever there is any spontaneous change.

As the ice melts, the molecules grow disorganised as they are now able to move about. The water is then heated to transform into a gas, releasing the molecules to move freely through space. Both of the above reactions would have a positive entropy (DS).

Positive entropy indicates an increase in randomness in a system. Positive entropy processes include boiling and evaporation. A system has less randomness when the entropy is negative. A few instances of negative entropy processes include freezing and condensation.

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The correct option for the given question is D. Decreasing the mass of the box and releasing the ball from a higher point on the hill.

 A cardboard box was placed at the bottom of a hill, and a ball was released from a point on the hill. The box moved a distance of 2 meters before coming to rest, along with the ball. To move the box a greater distance, a change in the initial conditions is required. It can be achieved by decreasing the mass of the box and releasing the ball from a higher point on the hill.

According to the law of conservation of momentum, the total momentum before and after the collision is conserved. If the mass of the box is decreased, its momentum will be less after the collision. Therefore, the momentum of the ball will be greater than the momentum of the box, allowing it to move the box to a greater distance. Thus the correct option is Option D.

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Answer:

The question of why individuals act in certain ways has been of interest to psychologists for a long time, and different perspectives have provided various explanations for this question. Below is a brief description of the primary area of interest for explaining and justifying behavior, along with the key figures associated with each of the following psychological perspectives:

Psychodynamic Perspective: The psychodynamic perspective emphasizes the role of unconscious thoughts, feelings, and memories in shaping behavior. The primary area of interest in this perspective is understanding the unconscious conflicts and repressed emotions that influence behavior. The key figures associated with this perspective are Sigmund Freud and his followers.

Behavioral Perspective: The behavioral perspective emphasizes the role of environmental factors in shaping behavior. The primary area of interest in this perspective is the understanding of how external stimuli, rewards, and punishments can shape behavior. The key figures associated with this perspective are Ivan Pavlov, B.F. Skinner, and John B. Watson.

Humanistic Perspective: The humanistic perspective emphasizes the role of personal growth, choice, and free will in shaping behavior. The primary area of interest in this perspective is the understanding of how individuals can fulfill their potential and achieve self-actualization. The key figures associated with this perspective are Abraham Maslow and Carl Rogers.

Cognitive Perspective: The cognitive perspective emphasizes the role of mental processes, such as perception, memory, and thought, in shaping behavior. The primary area of interest in this perspective is the understanding of how individuals process information and make decisions. The key figures associated with this perspective are Jean Piaget, Aaron Beck, and Albert Ellis.

Explanation:

Answer:

Let V be the speed of the boat (vector quantity)

R is the speed of the river

We want to add these two vectors to get a vector point straight north

If V is the speed of the boat to the northwest and R is the speed of the river we have

V + R = N  (vector quantities)

Sin θ = R / V = 2 / 4 = 1/2   θ = 30 deg

One should angle the boat 30 deg west of north    

You should angle the bow of the boat 30° West of North in order to reach a point due north directly across the shore from you.

This is because the current in the river is flowing eastward at a speed of 2 m/s, which means that it will push your boat to the east.

In order to counteract this force and reach the point directly across the shore from you, you need to angle the bow of the boat slightly to the west.

By angling the bow of the boat 30° West of North, you will be able to use the force of the current to help you move northward while also counteracting the force of the current pushing you to the east.

This will allow you to reach the point directly across the shore from you.

Here is a step-by-step explanation of how to calculate the angle of the bow of the boat:

1. Draw a diagram of the situation, with the boat in the center and the current flowing from left to right (eastward).

2. Draw a vector representing the velocity of the boat, with a magnitude of 4 m/s and an angle of 30° West of North.

3. Draw a vector representing the velocity of the current, with a magnitude of 2 m/s and an angle of 0° (due east).

4. Use the Pythagorean theorem to find the magnitude of the resultant vector, which represents the velocity of the boat relative to the shore.

5. Use trigonometry to find the angle of the resultant vector, which represents the angle of the bow of the boat.

Therefore, the answer is 30° West of North.

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Answer:

Independent tetrahedra: Olivine
Single chain: Pyroxene
Double chain: Amphibole
Sheet: Mica
Network: Feldspar

Minerals are naturally occurring substances that form when elements combine in a specific ratio and arrangement. Silicates are the most abundant minerals on Earth and are composed of silicon and oxygen. They are further classified by their structure and the arrangement of their oxygen and silicon atoms.

Independent tetrahedra have silicate tetrahedrons (SiO4) that are not connected. Olivine is an example of this, and is formed from magnesium and iron-rich silicates.

Single chain silicates are composed of linked tetrahedral, forming a single chain. Pyroxene is an example of this, with single chain silicates typically forming as a result of metamorphism or magmatic processes.

Double chain silicates are composed of two connected chains of silicate tetrahedrons. Amphibole is an example of this, and is found in many igneous and metamorphic rocks.

Sheet silicates have silicon and oxygen atoms that are linked in sheets. Mica is an example of this, and can form as a result of chemical weathering of larger silicates.

Network silicates are composed of many tetrahedrons that are linked together in a network. Feldspar is an example of this, and is the most abundant mineral in the Earth’s crust.

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The energy in a capacitor is stored inside the dielectric slab. Therefore, the correct answer is D) Inside the dielectric slab.

A capacitor is a device that stores electrical energy in an electric field. It is made up of two conductive plates separated by a dielectric material. When a voltage is applied across the plates, an electric field is created between them, and the energy is stored in this field.

In the case of the capacitor described in the question, the energy is stored inside the dielectric slab that fills the space between the two plates. This is because the electric field is strongest in the region between the plates, where the dielectric material is located. The energy is stored in the form of an electric field within the dielectric material, and this is where the energy is stored in the capacitor.

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(1) UV (ultraviolet) light can cause damage to one's eyes because it is a type of radiation that is invisible to the human eye.

(2) In a butchery setting, UV-C disinfection can be used to sanitize surfaces such as meat slicers, cutting boards, and countertops.

When we are exposed to UV light, it can penetrate the outer layer of our eyes and reach the lens and the retina.

This  UV light can cause a range of problems, such as:

UV light is used in butcheries for a process called "UV-C disinfection". UV-C light has a wavelength of between 200 and 280 nanometers, which is capable of killing bacteria, viruses, and other microorganisms.

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The frequency of wall contacts and thus the pressure of the gas increase as the number of gas particles in the container rises.

The kinetic molecular theory of gases explains how ideal gases behave. Pressure is explained by molecular motion, which causes collisions between molecules and the container walls. Gases' great compressibility is explained by the enormous intermolecular distances between their molecules.

Charles' rule. Only by increasing the volume the gas occupies can a steady pressure be maintained while the temperature of the gas rises.

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Answer: B.

Explanation:
Lakes and ponds are considered aquatic regions, as almost all life in them is marine.

a. The speed of the wave in the ropes is [tex]30.43 \sqrt{m/s}[/tex]

b. 4.56 kg

Linear mass density, also known as linear density, is a measure of the mass per unit length of a one-dimensional object such as a string, wire, or rod. It is defined as the mass of the object divided by its length, and has units of mass per unit length, such as kg/m or g/cm.

For example, if a wire has a mass of 10 grams and a length of 2 meters, its linear mass density would be 5 g/m. Linear mass density is an important concept in physics and engineering, as it is used to describe the properties of one-dimensional objects under tension, compression, and other forces.

The answer and solution are in the attached images.

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The pyramidal motor tract carries signals from the motor cortex of each cerebral hemisphere to the opposite (contralateral) side of the spinal cord, whereas the extrapyramidal motor tracts carry signals from various subcortical structures to both sides (bilateral) of the spinal cord.

The pyramidal motor tract is responsible for voluntary movement and fine motor control, while the extrapyramidal motor tracts are responsible for involuntary movement, and muscle tone, and the pyramidal motor tract, also known as the corticospinal tract, is a collection of nerve fibers that originates in the motor cortex of each cerebral hemisphere and descends through the brainstem and spinal cord. posture. Both tracts are important for coordinating and controlling motor functions in the body.

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After the brakes are applied it takes 8.47s  time elapses before the toolbox strikes the cab.

The pickup truck is moving at 25 m/s with the toolbox of mass m resting on the bed of the truck 3.5 m behind the cab and the coefficient of kinetic friction between the toolbox and the bed of the truck is 0.3.

By using the equation a = (μk * g) / m

where a is the acceleration,

μk is the coefficient of kinetic friction,

g is the acceleration due to gravity (9.8 m/s2), and m is the mass of the toolbox.

By substituting the given values, we find the acceleration of the toolbox to be

a = (0.3 * 9.8) / m = 2.94 m/s2.  

Since the toolbox is initially at rest, the velocity at which it strikes the cab is equal to the final velocity of the truck, 25 m/s. To find the time it takes for the toolbox to reach the cab, we can use the equation

t = vf / a where t is the time, vf is the final velocity, and a is the acceleration found above.

By substituting the given values, we find the time it takes for the toolbox to reach the cab to be

t = 25 / 2.94 = 8.47 seconds.

Therefore, the time it takes for the toolbox to strike the cab after the brakes are applied is 8.47 seconds.

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You and your friend both observe the book moving to the north. This is because the motion of the book is relative to the frame of reference – you and your friend – and since you are both moving in the same direction.

Motion is the process of changing position over time. It is an essential concept in physics, and can be seen in everyday activities, including walking, driving, and throwing a ball. Motion is a relative concept, and is commonly described using concepts such as velocity, acceleration, and displacement. To describe motion, one must include both the direction and the magnitude of the change in position. In the physical sciences, motion is described using the laws of classical mechanics, which are based on Isaac Newton's laws of motion. These laws describe how an object's motion can be affected by forces such as gravity, friction, and tension.

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Two details from the passage to show that the glowworm is a very unusual and beautiful insect are:

Glowworms are the larvae of certain species of insects that belong to the family Lampyridae, which includes fireflies. These larvae are bioluminescent, which means they can produce light through a chemical reaction in their bodies.

Glowworms are most often seen in dark environments, such as caves or forests at night. They use their light to attract prey, which includes small insects and other invertebrates.  The beauty and unusual nature of glowworms has captured the imagination of people for centuries. They are often associated with magic and mystery, and their ability to produce light without heat has been the subject of scientific investigation for many years.

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Their niche in an ecosystem is a B. herbivore.

Define about the ecosystem ?

An ecosystem is a community of living organisms and their physical environment, interacting as a system. It can be as large as a whole forest or as small as a puddle of water.

An ecosystem is composed of both biotic factors (living things) and abiotic factors (non-living things).

Examples of biotic factors include plants, animals, and microorganisms, while abiotic factors include things like water, air, temperature, and soil. These factors interact with each other in complex ways, such as through food chains and nutrient cycling, to maintain the overall balance of the ecosystem.

Ecosystems can be found in many different environments, including deserts, oceans, forests, and grasslands, and each one has its own unique set of organisms and interactions.

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The principle of cross-cutting relationships is useful in determining relative age in situations where geological features such as faults, and erosion surfaces cut across layers of rock.

By applying this principle, geologists can determine the relative age of the features based on their relationship to the surrounding rock layers. For example, if a fault cuts across a layer of rock, it must be younger than the layer it cuts through. Erosion surfaces that cut across multiple layers of rock can also be used to determine relative age, with the surface being younger than the layers it cuts across.

Overall, the principle of cross-cutting relationships is useful in determining the relative timing of events that have occurred in a geological area.

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a) The magnitude of the force F needed to prevent the book from sliding down the rough wall is 6 N.

b) The minimum force F needed to set the book in motion up the rough wall with constant velocity is 6 N, which is equal to the force of friction acting on the book.

a) To find the magnitude of the force F needed to prevent the book from sliding down the rough wall, we need to consider the forces acting on the book. There are two forces acting on the book: the force of gravity, which pulls the book downward with a force of mg = (1.5 kg)(9.81 m/s^2) = 14.715 N, and the force of friction, which acts in the opposite direction of motion.

The force of friction can be calculated using the formula:

f = μN

where μ is the coefficient of friction (js = 0.8), and N is the normal force acting perpendicular to the surface of the wall. Since the wall is at an angle of 60 degrees to the horizontal, the normal force can be calculated as:

N = mg cos θ = (1.5 kg)(9.81 m/s^2) cos 60° = 7.5 N

Substituting the values, we get:

f = μN = (0.8)(7.5 N) = 6 N

Since the book is not moving, the force F acting on it must be equal and opposite to the force of friction, i.e., F = f = 6 N.

Therefore, the magnitude of the force F needed to prevent the book from sliding down the rough wall is 6 N.

b) To find the minimum force F needed to set the book in motion up the rough wall with constant velocity, we need to consider the forces acting on the book again. Since the book is moving with constant velocity, the net force acting on it must be zero. Therefore, the force of friction must be equal and opposite to the force F applied to the book.

The force of friction can be calculated as before, using the formula:

f = μN = (0.8)(7.5 N) = 6 N

To find the minimum force F needed to set the book in motion up the wall, we need to overcome the force of friction. Therefore, we need to apply a force greater than or equal to the force of friction. If we apply a force slightly greater than 6 N, the book will start moving up the wall with an acceleration

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The given question is incomplete, the complete question is:

Rough Surface with: js = 0.8 HK = 0.4 (a) Find the magnitude of the force F needed to prevent the book from sliding down the rough wall m= 1.5kg , θ=60degree b)Find the minimum force F needed to set the book in motion up the rough wall with constant velocity

The magnitude of the net force on the mass at t=15s is 2.36 N.

The net force on the mass is calculated  by applying Newton's second law of motion as follows;

F (net) = ma

where;

The acceleration of a simple harmonic motion can be expressed by the following formula:

a = -ω²x

where:

In this formula, the negative sign indicates that the acceleration is opposite in direction to the displacement, which is a defining characteristic of simple harmonic motion.

The angular frequency ω is related to the period T and the frequency f of the motion by the formulas:

ω = 2π/T = 2πf

The frequency of this oscillation is calculated as follows;

when the object makes one complete cycle, the time period = 9 seconds

f = n/T

f = 1/9

f = 0.1 Hz

ω = 2πf

ω = 2π x 0.1 = 0.628 rad/s

The acceleration of the object is calculated as;

a = ω²x

(the displacement, x at 15 s = amplitude of the motion = 3 m)

a = (0.628²) x (3)

a = 1.18 m/s²

The net force on the mass is calculated as;

F (net) = ma

F (net) = 2 kg x 1.18 m/s²

F (net) = 2.36 N

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