The pendulum of a clock i diplaced by a ditance of 4. 0 cm and it ocillate in. H. M. With a with a period of 1. A. Calculate the maximum velocity of the pendulum bob

Ballistics is the study of projectile propulsion, flight, and impact. It is separated into a number of disciplines. The subjects of internal and external ballistics, respectively, are projectile propulsion and flight.

Intermediate ballistics refers to the phase that exists between these two regimes. Ballistics is the study of how projectiles are fired, how they fly, and how they strike a target. It is frequently related to rockets, guided missiles, and projectiles launched from weapons.

The word "ballistic" refers to how an object travels through space. Typically, it refers to projectiles fired by weapons, such as bullets or rockets. Get out of the way if a ballistic missile is headed your way! A ballistic missile is only guided during its initial launch.

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if two balls are launched from a height. One is horizontally and other is vertically downwards, then both of the balls will touch the ground exactly at the same time.

When a ball is launched from a height than at some angle then its velocity(v) can be considered as divided into two components: One is vertical and the other is horizontal.

v₁ = vcosθ (horizontal component)

v₂ = vsinθ (vertical component)

Vertical component is always subjected to the acceleration due to gravity. Which is same for every vertical motion. Since the dropping height is same for both the balls, so their travelling time in the vertical downward direction will also be same. So they will touch the ground exactly at the same time.

--The given question is incomplete, the complete question is

"A physical demo launches a ball horizontally while dropping a second ball vertically at exactly same time from same height. Which ball will touch the ground first?"--

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Answer: If the mass of the object is 178 kg: k = 9.44*10^-5 N/m

Answer for the mass being 82 kg is not complete, because G was not given.

Explanation:

If the mass of the object is 178 kg:

The mass of object (m) = 178 kg

Length of tunnel (l) = 2640 km

***The minimum displacement (its amplitude) of object from its mean position,

A = 2640/2 = 1320 km = 1.320 * 10^6 m

Mass of planet (M) = 4.48 * 10^24 kg

Its Radius (R) = 8.26 * 10^6 m

Gravitational constant (G) = 6.67259 * 10^-11 Nm^2/kg^2

Now, restoring force for given hormonic motion will be

Vector of F = -((GMm)/R^3) * x

Comparing with, vector of F = -k*x, we get

k = (GMm)/R^3

k = (((6.67259*10^-11)*(4.48*10^24)*178)/(8.26*10^6)^3)

k = ((5320.99017*10^(-11+24))/(563.559976*10^18))

k = 9.44*10^(13-18)

k = 9.44*10^-5 N/m

If the mass of the object is 82 kg:

The mass of object (m) = 82 kg

Length of tunnel (l) = 2430 km

***The minimum displacement (its amplitude) of object from its mean position,

A = 2430/2 = 1215 km = 1.215*10^6 m

Mass of planet (M) = 4.16 * 10^24 kg

Its Radius (R) = 7 * 10^6 m

Gravitational constant (G) not given in the photo

Now, restoring force for given hormonic motion will be

Vector of F = -((GMm)/R^3) * x

Comparing with, vector of F = -k*x, we get

k = (GMm)/R^3

k = ((G*(4.16*10^24)*82)/(7*10^6)^3)

Remember that when multiplying two values with exponents, you add the exponents together!

k = ((3.4112*10^26 * G)/(3.43*10^20))

Insert G to solve!

Therefore, 3.011 × 10²³ molecules are present in 9 grams of water.

One or more atoms make up molecules. They may have the same atoms (for example, an oxygen molecule has two oxygen atoms) or different atoms if they have more than one (a water molecule has two hydrogen atoms and one oxygen atom). Biological molecules like DNA and proteins can include thousands of atoms.

Water weighs 9 grammes.

To Locate: molecular weight of 9 grammes of water

Here : We are aware that a mole of water weighs 18 g.

Therefore, there are 6.02210^23 molecules in 1 mole of water, or in 18 g of water.

So,

Water weighs 18 grammes and has 6.022 x 10^23 molecules.

= (6.022 x 10^23)/18

= 3.011 × 10²³

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Correct Question:

How many molecules are present in 9 gram of water ?

The constant angular acceleration is 0.0069 [tex]rad/s^{2}[/tex].

Given:

Angular speed = 0.40 rev/s

Time = 36.1 s

So Angular acceleration = [tex]0.04 rad/s * \frac{2\pi rad}{1 rev} * \frac{1}{36.1} = 0.0069 rad/s^{2}[/tex]

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We can use the kinematic equation: h = vit + 1/2g*t^2 to determine the height of an object shot upwards with an initial velocity of 120 m/s after 4.0s.

Where h is the height, vi is the initial velocity, t is the time, and g is the acceleration due to gravity (approximately 9.8 m/s^2).

h = 1204 + 1/29.8*4^2

h = 480m

The height of the object after 4.0s is 480m. So the answer is 480 m.

The first law of motion is the law of inertia. The law is about the tendency of any object to remains in state of motion until and unless an external force is applied to it.

The law of inertia states that any object remains in its state of motion, (either in rest or in motion)  until and unless an external unbalanced force is applied to it. For example if a car is travelling at a constant speed then it will continue to remain in this state for ever. But practically it comes to at rest state after covering some distance. This is due to the opposite force of friction working between the tires of the car and the road surface.

--The given question is incorrect, the correct question is

"What is the first law of motion?"--

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Rotation is the movement of an object on its own axis whereas revolution is its movement around another object.

A rotation is the circular movement of an object around a pivot point. A rotation axis is a line that three-dimensional objects such as the earth, moon, and other planets always rotate around. If the axis passes through the centre of mass of the body, the body is said to rotate or spin.

Rotation is frequently used as a synonym for revolution. In many fields, such as astronomy and related subjects, however, revolution is referred to as an orbital revolution. It is used when one body moves around another, whereas rotation is when one body moves around the axis. The Moon, for example, revolves around the Earth, and the Earth revolves around the Sun.

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Ping measures the latency of an internet connection and packet loss is the data lost between your device and the server of the app.

When you work on an application, your device constantly exchanges “packets” of data with the app’s server or host. The travel time of the round-trip of those packets is your ping. Ping depends on the speed of your internet connection and distance of the server from your device. Packet loss can be reduced by closing all background applications, by trying time-tested technique, if the connection is wired then try connecting the ethernet cable to different port, try wired connection if you are using wi-fi, etc.

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The maximum gravitational force between two objects can be found by the given formula:

Gravitational force= (Gravitational constant X Mass of the first object x Mass of the second object) / (Distance between the centre of two bodies)².

In Physics, the gravitational force is one of the types of forces that attracts any two objects with mass. The other name of gravitational force is an attractive force as it pulls the two objects towards each other.

Newton's law of gravitation states that every object that exists in our universe is pulled by other objects. the other type of forces are the electromagnetic force, weak force, strong force etc.

The gravitational force on earth is maximum at the poles as the earth is an oblate spheroid, and that means it bulges out in the middle (the equator). This means that the poles of the earth ends up a little closer to the center of gravity as compared to other positions.

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Yes, Internet latency is decreased by fast internet speed.

Internet transmission rate. Your internet connection speeds might impact your ping in addition to the different elements that determine how good your ISP is or latency. Your ping will decrease as a result of faster data transmission and reception.

A slower internet connection would result in noticeably lower FPS no matter what game you were playing. A slower internet connection results in more ping, which can make everything lag and lead players to become immobile. Anything under 100ms is ok for browsing and streaming in general. You should aim for a maximum of 50ms, but under 30ms would be great for serious play.

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When a roller coaster is at the top of the hill,

The conclusion is obtained from the principle of conservation of energy.

The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."

In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as

E₁ = E₂

KE₁ + U₁ = KE₂ + U₂

½mv₁ + mgh₁ = ½mv₂ + mgh₂

Where

The index 1 and 2 shows at point 1 and 2.

When a roller coaster is at the top of the hill,

Suppose that point 1 is at a certain point and point 2 is at the top of the hill. We get

E₁ = E₂

E₁ = ½mv₂ + mgh₂

E₁ = ½m(0) + mgh

E₁ = mgh

Hence, at the top of the hill, the roller coaster would has no kinetic energy, otherwise the potential energy is at the highest.

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The frequency of the ultrasonic wave generated by a nickel rod of length 4 cm is 415 kHz.

Frequency is the number of times a phenomenon occurs within a given period of time. It is measured in hertz (Hz), which is equal to one occurrence per second. Frequency is used in a variety of fields, including sound, radio waves, light, and electricity. It is a measure of how often a certain event occurs, and it is often used to measure oscillations in a system. Frequency is an important concept in physics and mathematics, and it is used to calculate the speed of waves and the behavior of particles.

The frequency of an ultrasonic wave that can be generated by a nickel rod of length 4 cm can be calculated using the speed of sound in Nickel (V), Young’s Modulus (E) and density (ρ).

The speed of sound in Nickel (V) is calculated using the formula V = √(E/ρ).

Therefore, V = √((207 GPa)/(8900 kg/m³))

V = 3320 m/s

Now the frequency (f) of the ultrasonic wave generated can be calculated using the formula:

f = V/λ

where λ is the wavelength of the wave.

The wavelength (λ) is calculated using the formula:

λ = 2L

where L is the length of the rod.

Therefore, λ = 2*4 cm = 8 cm

Now, f = 3320 m/s/8 cm

f = 415 kHz.

Therefore, the frequency of the ultrasonic wave generated by a nickel rod of length 4 cm is 415 kHz.

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Momentum is characterised as the intensity of a body's motion. The formula is "mass times velocity."

As momentum depends on velocity, it also depends on the body's direction of motion. Since velocity is a vector and mass is a scalar, momentum is a vector quantity.

Mass times speed equals momentum.

Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a baseball that is thrown quickly and with a tiny mass could have the same momentum as a bowling ball with a heavy mass travelling very slowly.

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Newton's third law does not hold always true.

Newton's third law, also known as the law of action and reaction, states that for every action force, there is an equal and opposite reaction force. This means that if object A exerts a force on object B, object B will exert an equal and opposite force on object A.

This is often demonstrated with examples such as a person pushing a wall or a rocket being propelled forward by the force of its exhaust.

One exception to this law is when forces such as friction and air resistance act on an object. These forces are not equal and opposite to the action force and can cause the reaction force to be less than the action force.

Another exception is when Newton's laws are applied in the realm of quantum mechanics, the laws of classical mechanics such as Newton's laws, no longer hold true.

In the quantum world, particles don't have definite positions or velocities, and they can exist in multiple places at once. As a result, the laws of classical mechanics do not apply to the quantum world.

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The kinetic energy of a car with a mass of 1050kg and a velocity of 5m/s will be 13,125 joules or 13,125 kg⋅m2⋅s−2.

As we know, the formula to find the kinetic energy in a system is [tex]1/2 m v^{2}[/tex] where m is the mass of the system and v is the given velocity at the moment. So , by putting the given data in the equation, we get :

⇒[tex]1/2mv^{2}[/tex]

⇒1/2 x 1050 x 5 x 5

⇒525 x 25

⇒13,125

∴ The Kinetic energy of the car will be 13,125 Joules where joule is the SI unit of energy.

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An arrangement of things that aren't shifting in relation to one another is a reference point. A time reference is required to fully and properly describe motion.

In physics, motion changes over time depending on a body's position or orientation. Translation is the action of moving across a line or curve. Rotation is the term used to describe motion that modifies a body's orientation.

Consumer-grade digital cameras with the APAS software can be used for motion tracking to obtain sub-millimeter precision at frame rates suitable for kinematic analysis of lip/jaw movements in both research and therapeutic applications.

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Torque is also known as moment of force. It is the tendency of a force to rotate the body on which it is applied.

"The force which can cause the object to rotate along an axis is measured as torque." Force is what propels an object's acceleration in linear kinematics. Similar to it, an angular acceleration is brought on by torque. Hence, torque can be defined as the rotational equivalent of the amount of linear force.

The SI unit of torque is Newton-metre. Turning a steering wheel, while walking torque is created at the hip joint to turn the leg and opening the cap of the bottle are the examples of torque.

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Newton's second law, also known as the law of acceleration or the force law, states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.

It means that the force applied to an object is equal to the product of its mass and acceleration.

In simple terms, it says that the more force applied to an object, the greater its acceleration will be, and the more massive an object is, the less it will accelerate for a given force.

This law is used to calculate the motion of objects under the influence of forces and is important in explaining the behavior of objects in motion. It can be represented mathematically as F = ma, where F is the net force acting on an object, m is the mass of the object and a is its acceleration.

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A pixel is commonly regarded as the tiniest single component of a digital image.

A pixel represents the value of a single square in the image and is assigned a value. The total number of pixels in an image is calculated similarly to the formula for rectangle area: number of pixels across multiplied by number of pixels down. The smallest unit of a digital image or graphic that can be displayed and represented on a digital display device is a pixel. In digital graphics, a pixel is the fundamental logical unit. Pixels are used to create an image, video, text, or any other visible thing on a computer display.

Here,

A pixel is widely considered to be the smallest single component of a digital image.

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While an object's weight is affected by gravity, its mass is not.

A thing's mass is the total amount of its constituent parts. Mass is a scalar quantity with a single value and no directionality.

mg = mass (N).

Gravity causes variations in acceleration that cause an object's weight to vary from one place in space to another. Weight is a vector quantity, hence it has a magnitude and a direction. As a result, weight depends on gravitational pull.

This leads us to the conclusion that while an object's mass is not affected by gravity, its weight is.

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The magnitude is always positive because magnitude is the absolute value and it cannot be negative as the minus sign in a vector means direction.

A force that is negative implies that it is moving in the opposite way of a reference direction. The magnitude of a force, however, cannot be negative. The component of the vector that lacks direction is its length (positive or negative). The summation's values are squared in the formula, making them positive. It just takes one step to determine the magnitude of a simple integer. The next step is to find the number's absolute value. When dealing with simple integers, the absolute value can be thought of as the "positive" of each number. This is the one and only instant when you can disregard the negative sign. The minus sign is deleted when the magnitude or absolute value is being discussed. In the realm of magnitude and absolute value, negative numbers are always considered positive.

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c.The burning of fossil fuels releases compounds into the air that can be harmful to breathe.

d.Communication technology can cause people to undervalue face-to-face communication.

e.People can become unnecessarily dependent on technology to complete tasks they used to do themselves.

Electromagnet is the type of magnet which is used in the coil in a relay.

Two or more electromagnets in the relay are energized by the relay coil. The static iron core is positioned between the electromagnet. The rotational magnetic field is produced by the coil that is wound on the electromagnet.

The activating or primary side of a relay is another synonym for the magnetic, coil system, or motor unit. It is made up of every part required to transform the electrical energy from the primary side into the mechanical force needed to open the contacts and switch the secondary circuit.

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A) The work done by the electric force on an electron is equal to the change in its electrical potential energy, which is equal to the potential difference between the cathode and the anode multiplied by the charge of the electron.

W = qV = (1.6 x 10^-19 C)(125 000 V) = 2 x 10^-14 J

B) The kinetic energy of an object is given by the equation KE = 1/2 mv^2. If the electron is initially at rest, its final kinetic energy is equal to the work done on it by the electric force, since all the energy used to accelerate it is converted to kinetic energy.

KE = W = 2 x 10^-14 J

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Here, a denotes acceleration, t denotes time, and u and v denote beginning and ultimate velocities, respectively. u = v + at.

       0 m/s = 45 m/s + 7 m/s t t = 6.42 s.

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