What do you need to include in a free body diagram?

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:

(a) Kinetic energy of the particle is K = p²/2m.

(b) The magnitude of the particle's momentum, p, is given by √(2mK).

(a) The kinetic energy of a particle is given by the formula:

K = (1/2)mv²

where m is the mass of the particle and v is its velocity.

We are given that the particle has momentum of magnitude p. Momentum is defined as the product of mass and velocity:

p = mv

Solving for v, we have:

v = p/m

Substituting this into the kinetic energy formula, we get:

K = (1/2)m(p/m)²

= (1/2)(p²/m)

Thus, the kinetic energy of the particle is K = p²/2m.

(b) To express the magnitude of the particle's momentum in terms of its kinetic energy, we can rearrange the equation derived in part (a) to solve for p.

Starting with:

K = p²/2m

Multiply both sides by 2m:

2mK = p²

Taking the square root of both sides:

√(2mK) = p

Therefore, the magnitude of the particle's momentum, p, is given by √(2mK).

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Answer:

if you cut a bar of gold over and over it would result to an atom.

because an atom is the smallest particle of an element that can exist.

I hope this helps

The electrostatic force when the charges are located 2 meters apart is 1.6 N. The result is obtained by using the formula for electrostatic force.

The formula for electrostatic force is

F = kq₁q₂/r²

Where

Suppose there are two conditions for the distance of two charges.

Find the electrostatic force when r is 2 meters!

From the formula above,

F = kq₁q₂/r²

The charges are the same, so kq₁q₂ is constant. We get

F ≈ 1/r²

The electrostatic force when r = 2 m would be

F₁r₁² = F₂r₂²

0.1 (8)² = F₂(2)²

0.1 (64) = 4F₂

6.4 = 4F₂

F₂ = 6.4/4

F₂ = 1.6 N

Hence, the electrostatic force when the charges are located 2 meters apart is 1.6 N.

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answer

Explanation:

has 3 electrons and 3 protons

Stratospheric ozone depletion refers to the reduction in the amount of ozone gas in the Earth's stratosphere, which is located at an altitude of about 10 to 50 kilometers above the Earth's surface.

Ozone depletion is caused by the release of certain chemicals into the atmosphere, such as chlorofluorocarbons (CFCs) and other ozone-depleting substances (ODSs). These chemicals react with and break down ozone molecules, reducing the amount of ozone in the stratosphere.

Ozone depletion has been identified as a serious environmental problem, as it can have significant impacts on human health, as well as on ecosystems and the environment as a whole. Increased exposure to ultraviolet (UV) radiation, which is normally absorbed by ozone in the stratosphere, can lead to skin cancer, cataracts, and other health problems in humans. It can also affect plant growth, marine ecosystems, and the climate system.

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Answer:

If it accelerated from 5 to 10 in one second then we know that acceleration is final (velocity-initial velocity)/

time

this gives (10-5)/1

=5m/s^2

force = mass x acceleration so = 150 x 5

this gives us a force of 750N

impulse is force x time so = 750 x 1

this tells us the impulse is 750 N.s

All of this is assuming it accelerated to 10m/s in one second.

The definition of impulse allows to find the impulse response for the acceleration of the body is:

Given parameters

To find

The impulse is the change of the momentum of a body, it is a vector quantity

    I = ∫ F. dt = Δp

Where the bold indicate vectors, I is the momentum, F the force, t the time, Δp the change in moment

The momentum is defined as the product of the mass of the body and its speed.

     p = m v

We substitute in the expression of impulse  

    I = \(m v_f - m v_o\)  

Let's calculate.

    I = 150 (10 -5)

    I = 750 N s

In the direction of acceleration.

In conclusion using the definite of impulse we can find the impulse response for the acceleration of the body is:

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The number of variations the dealership have is 40 cars.

Data given;

This is the total numbers of cars available in the dealer shop at the moment.

To get that, we simply multiply the numbers of colors available, the number of transmission and the makes of car available.

This is equal to

\(4*2*5=40\)

From the above calculation, we can say that the variations the dealership offers is 40

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The equation for the position vector r(t) of the particle at time t is :r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²

Given,Initial velocity, v0= 7 m/s

Final velocity, v = ?

Acceleration, a= 5i + j - 4k

Time, t = ?

Distance between the points, d= √(8 - 3)² + (9 - 8)² + (4 - 8)²

                                                    = √25 + 1 + 16

                                                    = √42 m

We know that,v = v0 + at

On substituting the given values in the above equation, we get,

7 + a×t = v

⇒ v = 7 + (5i + j - 4k)×t

Now, the equation of motion can be given by the following equation,r(t) = r0 + v0t + 1/2at²

Here,r0 = (3i + 8j + 8k) is the initial position of the particle

On substituting the given values in the above equation, we get,

r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²

Hence, The particle's location vector at time t is represented by the equation:r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²

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Answer:

The answer for Work done is 60J or 60Nm

Explanation:

Work done=Force×distance

W=15×4

W=60J or 60Nm

A real image is formed when rays of light converge at a specific point, creating an actual image that can be captured on a screen or surface.

A real image is created when light rays intersect at a particular point after passing through an object. This convergence of rays allows the formation of an actual image that can be captured on a screen or surface. The key characteristic of a real image is that it can be projected onto a screen and appears inverted compared to the object being imaged.

To understand the formation of a real image, we need to consider the behaviour of light rays. When light passes through an object, it undergoes refraction, causing the rays to change direction. These refracted rays converge at a specific point, known as the focal point, before diverging again. At the focal point, the rays intersect and form a real image.

The real image can be observed by placing a screen or surface at the position where the converging rays meet. The image appears inverted because the rays cross each other. This phenomenon is commonly observed in optical systems such as cameras, where the lens focuses incoming light onto a photosensitive surface, forming a real image that can be captured and recorded.

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Formula mass is found by summing the atomic masses of all the atoms in a chemical formula, while molar mass is the mass of one mole of a substance expressed in grams per mole.

Formula mass and molar mass are both measures of the mass of a substance. The formula mass is the sum of the atomic masses of all the atoms in a chemical formula, including any coefficients used to balance the formula. On the other hand, the molar mass is the mass of one mole of a substance and is equal to the formula mass expressed in grams per mole (g/mol).

To find the formula mass or molar mass, you need to look up the atomic masses of the elements in the chemical formula on the periodic table, multiply them by the number of atoms of each element in the formula, and then sum the results. The resulting number is the formula mass or molar mass.

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Answer:

to prevent to much current

Explanation:

in the event of a power surge the circuit breaker will cut the power. this is what people mean when they say "pop" the breaker

Rock formations go Into the mantle when they are subducted.

Subduction is a geological process in which the oceanic lithosphere is recycled into the Earth's mantle at convergent boundaries. Where the oceanic lithosphere of a tectonic plate converges with the less dense lithosphere of a second plate, the heavier plate dives beneath the second plate and sinks into the mantle.

Subduction is a geological process in which the oceanic lithosphere is recycled into the Earth's mantle at convergent boundaries.

Rock formations go Into the mantle when they are subducted.

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Answer:

1) The boiling point of water reduces by 3.28°C at 1,000 m above sea-level

2) The boiling point of water reduces by 6.56°C at 2,000 m above sea-level

Explanation:

The variation of the boiling point of water with elevation is given as follows

The boiling point reduces by 0.5°C for every 152.4 meter increase in elevation

At sea-level, the boiling point temperature of water = 100°C

1) At 1,000 m elevation, the boiling point temperature, T = 100 - (1,000/152.4) × 0.5 ≈ 96.72 °C

Therefore, the boiling point of water reduces by 100° - 96.72° = 3.28°C at 1,000 m above sea-level

2) At 2,000 m elevation, the boiling point temperature, T = 100 - (2,000/152.4) × 0.5 ≈ 93.44°C

The boiling point of water reduces by 100° - 93.44° = 6.56°C at 2,000 m above sea-level

Answer:Boiling

Explanation: If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid. The most energetic particles at the surface escape from the surface of the liquid as a vapour as it gets warmer.

Answer:

The magnification of the spoon is approximately 0.39

Explanation:

To determine the magnification of the spoon, we can use the lens formula:

1/f = 1/v - 1/u

Where:

f = focal length of the lens (convex lens in this case)

v = image distance from the lens

u = object distance from the lens

Given:

f = -6.50 cm (negative because it is convex)

u = 5.00 cm

Substituting the given values into the lens formula:

1/-6.50 = 1/v - 1/5.00

Simplifying:

-1/6.50 = 1/v - 1/5.00

To solve for v, we need to find a common denominator:

-5/32.50 = (5 - 6.50)/ (5v)

-5/32.50 = (-1.50)/ (5v)

Cross-multiplying:

-5 * 5v = -32.50 * -1.50

-25v = 48.75

Dividing both sides by -25:

v = 48.75 / -25

v = -1.95 cm

Now, we have the image distance (v), which is approximately -1.95 cm. To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -(-1.95 cm) / 5.00 cm

M = 0.39

When you hold your physics textbook in your hand without any other objects in contact with it, you are exerting a force on the book to counteract its weight. This force is known as the normal force, and according to Newton's third law, the book exerts an equal and opposite force on your hand.

When you hold your physics textbook in your hand and assume that no other objects are in contact with the book, there are a few key concepts to consider:

1. Force: When you hold the book, you are applying a force on it. This force is exerted by your hand and is directed upwards to counteract the force of gravity pulling the book downwards.

2. Newton's Third Law: According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this case, the book exerts a force on your hand that is equal in magnitude but opposite in direction to the force you exert on the book.

3. Normal Force: The force your hand exerts on the book is known as the normal force. It is called the normal force because it acts perpendicular to the surface of contact between your hand and the book. The normal force balances the force of gravity and prevents the book from falling through your hand.

4. Weight: The book has a weight, which is the force of gravity acting on it. The weight of the book is equal to the mass of the book multiplied by the acceleration due to gravity (9.8 m/s^2 on Earth). When you hold the book, you are supporting its weight by exerting an equal and opposite force.

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Celestial navigation is the best method of naming or locating stars, if we have to give someone the location of a star.

With the help of "sights" or time angular measurements taken typically between a celestial body (e.g. the Sun, a planet, the moon or a star) and the visible horizon, Celestial navigation locate a star or any celestial body. However it can also take advantage of measurements between celestial bodies without taking the Earth horizon as reference, such as when the Moon is used in the practice, then it is called "lunars" or lunar distance method, which is used for determining precise time when time is unknown.

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The question concerns the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. In this case, the system gains 772 kJ of heat, which increases its internal energy by 241 kJ. To find the work done by the system, we can use the first law equation:ΔU = Q - Wwhere ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system. Substituting the given values, we get:241 kJ = 772 kJ - WSolving for W, we get:W = 531 kJTherefore, the system has done 531 kJ of work. This work could have taken many different forms, depending on the nature of the system and the process by which the heat was added. For example, the work could have been used to lift a weight, compress a gas, or generate electricity.

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In this situation, the work done by the system is equal to the difference between the heat gained and the change in internal energy, or 772 kJ - 241 kJ = 531 kJ.

Work is a form of energy transfer and is defined as the product of force and displacement. In this case, the force applied to the system is unknown, but the amount of work done can be determined.

To do work, energy must be transferred to an object, such as the system in this example, and the amount of work is equal to the energy transferred. In this case, 531 kJ of energy was transferred to the system, meaning that 531 kJ of work was done.

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The gage pressure at the bottom of the tank is 2.4072 kPa.

To find the absolute pressure, we add the atmospheric pressure: P_abs = P_gauge + P_atm Substituting the standard atmospheric pressure of 101.3 kPa,

we get:

P_abs = (490500 Pa + 101300 Pa) / 1000 P_abs = 591.8 kPa

Therefore, the ratio of absolute pressure at this depth to normal atmospheric pressure is:

P_abs / P_atm = 591.8 kPa / 101.3 kPa ≈ 5.84

The gage pressure at the bottom of the tank is given by: P_gauge = ρgh where ρ is the density of kerosene, g is the acceleration due to gravity, and h is the height of kerosene above the bottom of the tank. To find the height of kerosene, we need to first find the total height of the liquid in the tank.

This is given by the sum of the heights of the water and kerosene: h_total = 0.8 m + 0.3 m h_total = 1.1 m.

The height of kerosene is then:

h_kerosene = h_total - 0.8  h_kerosene = 0.3 m

Substituting the given values, we have:

P_gauge = (820 kg/m³) × (9.81 m/s²) × (0.3 m) P_gauge = 2407.2 Pa

To convert this to kPa, we divide by 1000: P_gauge = 2.4072 kPa.

Therefore, the gage pressure at the bottom of the tank is 2.4072 kPa.

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Answer:

speed and velocity are different because speed is the distance traveled per unit time but the velocity is displayed displacement per unit time is tourism scalar quantity and velocity is a vector quantity speed is always positive but velocity can be positive

Answer:

F= 1800N

Explanation:

the equation for force is F= ma

so plug in the numbers: F= (120)(15)

solve this to get F= 1800N

tip: don't forget to add the units when writing your answer :)

Mass is conserved in a reaction if the of the initial reactant masses equals the of the masses of products

The law of conservation of mass is a fundamental principle in chemistry that states that the total mass of a closed system remains constant during a chemical reaction. This means that the mass of the reactants before a chemical reaction is equal to the mass of the products after the reaction.

The mass of the reactants before the reaction is equal to the mass of the products after the reaction. This confirms that the law of conservation of mass holds true for this chemical reaction.

This principle is essential in chemistry as it allows us to make predictions about the outcome of a reaction based on the starting materials. It also helps to ensure the accuracy of experimental measurements, as any discrepancy between the expected and observed masses can indicate an error in the experiment.

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1) Any mechanical interactions taking place in the process should be frictionless, to make a process perfectly reversible

What is mechanical interactions?

Mechanical interactions are physical forces that are used to affect the behavior of objects and materials. This can include contact forces such as friction, tension, and compression, as well as non-contact forces such as gravity, magnetism, and electric fields

Mechanical interactions can be used to cause objects to move, change shape, or experience a change in energy. These interactions can also be used to create, store, or transfer energy. Mechanical interactions are studied by engineers and scientists in multiple disciplines, and are used in many different applications, including the design of machinery, medical devices, and consumer products.

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Answer:

friction

air drag

every thing that opposes the motion affects kinetic energy

Explanation:

kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest

potential energy ∝ 1/(kinetic energy)

as kinetic energy increases potential energy decreases

(a) Big Bang Nucleosynthesis:

Big Bang Nucleosynthesis refers to the production of light atomic nuclei in the early stages of the universe, specifically within the first few minutes after the Big Bang. During this period, the universe was extremely hot and dense, allowing for the fusion of protons and neutrons to form nuclei of light elements such as hydrogen, helium, and trace amounts of lithium.

The process of Big Bang Nucleosynthesis can be explained by the following steps. Initially, the universe was filled with a hot, dense plasma consisting mainly of protons, neutrons, and electrons. As the universe expanded and cooled down, the temperature dropped to a point where nuclear reactions could occur.

During the first few minutes, the intense energy and high densities allowed for nuclear reactions to take place, converting protons and neutrons into helium nuclei through a series of fusion reactions. The abundance of helium and other light elements produced during this period is consistent with observations of the elemental composition of the universe today.

(b) Isotropy and Homogeneity of the Universe:

The principle of isotropy states that the universe looks the same in all directions, meaning that its properties are the same regardless of the viewing direction. This implies that on a large scale, the universe appears uniform and lacks any preferred direction or orientation.

The principle of homogeneity, on the other hand, states that the universe is uniform at any given point in space. This means that the distribution of matter and energy is roughly the same regardless of the location within the universe.

Observations, such as the cosmic microwave background radiation (CMBR), strongly support the isotropy and homogeneity of the universe. The CMBR, which is a relic radiation from the early universe, exhibits an almost perfect isotropic distribution, indicating that the universe was homogeneous and isotropic on a large scale at the time of its release.

The isotropy and homogeneity of the universe are key assumptions in modern cosmology and form the basis of the cosmological principle. These principles, along with other observational evidence, have led to the development of the Big Bang theory as the prevailing model for the origin and evolution of the universe.

(c) Cosmic Microwave Background Radiation (CMBR):

The Cosmic Microwave Background Radiation (CMBR) is a faint radiation that permeates the entire universe and is observed uniformly in all directions. It is considered one of the strongest pieces of evidence supporting the Big Bang theory.

The CMBR is often described as the "afterglow" of the Big Bang. It originated when the universe was around 380,000 years old and had cooled down enough for atoms to form. Prior to this time, the universe was a hot, dense plasma of protons, neutrons, and electrons that strongly scattered photons. As the universe expanded and cooled, the electrons combined with protons to form neutral atoms, allowing photons to travel freely through space.

The CMBR represents the photons that were emitted during this recombination epoch. Over time, these photons have been redshifted due to the expansion of the universe, resulting in their wavelengths being stretched into the microwave region of the electromagnetic spectrum.

The discovery of the CMBR in 1965 by Arno Penzias and Robert Wilson provided strong evidence in support of the Big Bang theory. Its uniformity and isotropic distribution confirm the isotropy and homogeneity of the universe. Precise measurements of the CMBR have allowed scientists to determine important parameters of the universe, such as its age and composition.

The CMBR has become a crucial tool in cosmology, providing valuable insights into the early universe and supporting our understanding of its origin and evolution.

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The 2 springs should be connected in parallel so that the spring Constant for the combination is 1 Twice that of a single Spring.

How does Hooke's law work?

In accordance with Hooke's law, a principle of elasticity, for relatively minor deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load

A system of two parallel springs connected in accordance with Hooke's Law is equivalent to a single Hookean spring with a spring constant of k. The formula that applies to capacitors linked in parallel in an electrical circuit can be used to determine the value of k.

If spring 1 and 2 have spring constants k1 and k2 respectively,

k is k1+k2

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Answer:

Its vertical speed increases, and its horizontal speed remains the same.

Explanation:

Given that,

A baseball player throws a ball horizontally,

We know that,

A baseball player throws a ball horizontally, then vertical component of gravity will be increases but there is no acceleration in horizontal direction

So, horizontal velocity remains same.

Hence, Its vertical speed increases, and its horizontal speed remains the same.

If a baseball player throws a ball horizontally, the statement which best  describes the ball's motion after it is thrown is: B. Its vertical speed increases, and its horizontal speed remains the same.

Speed can be defined as the distance covered by an object per unit time.

Generally, speed has magnitude but no direction and as such it is a scalar quantity.

Mathematically, speed is given by the formula;

\(Speed = \frac{distance}{time}\)

For the vertical component of speed:

The vertical speed of an object increases with respect to the distance covered by the object as a result of the effect of acceleration due to gravity.

For the horizontal component of speed:

The horizontal speed of an object remains the same with respect to the distance covered by the object because there isn't any gravitational force acting on it.

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If the cell of 1.5 volts have 4 cells then the potential difference of the circuit is 6 volts.

As per question,

Voltage of each cell = 1.5 volts.

Number of cell = 4

Potential difference = 4 x 1.5

= 6 volts.

The potential difference between any two points in a circuit represents the variation in the energy that charge carriers have accessible. Volts are measured as follows: Voltage is measured in volts and is defined as the potential difference (V). The phrase used to describe the external work required to convey a charge from one point to another in an electric field is electric potential difference, which is frequently referred to as voltage. A battery's potential difference is equal to the sum of the potential differences of all of the electrical cells that make up the battery, which are connected in series. The resultant potential difference is the potential difference of the battery.

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