Velocity and Acceleration Problem

bicycle goes in a circle to go forward

Answer of all the questions about boyle's Law is given below.

Boyle's Law is an important gas law named after Robert Boyle, an Irish physicist and chemist. It states that the pressure and volume of a gas are inversely proportional. This means that when the pressure of a gas increases, its volume decreases, and vice versa. This law is applicable to many real-life situations, such as the effect of altitude on atmospheric pressure and the behavior of gases in a closed system.

(a) The rate of change of volume with respect to pressure can be calculated using the derivative of Boyle's Law. The equation is dV/dP = -C/P2, where C is the constant of the equation.

(b) The volume of the gas is decreasing more rapidly at the beginning of the 10 minutes, as the pressure is much lower. As the pressure increases, the rate of decrease for the volume will become slower, as the pressure and volume are inversely related.

(c) To prove that the isothermal compressibility is given by B=1/P, we can start with the definition of isothermal compressibility: B=–dV/dP(V,T). Using Boyle's Law and the derivative of Boyle's Law, we can substitute the equation to get B=–(C/P2). Rearranging the equation, we get B=1/P. Therefore, the isothermal compressibility is given by B=1/P.

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The factor that would shift the supply curve of the icecream to the right is D) Both A and C.

The ice cream freezer must aerate and freeze the mixture to create the ice cream's characteristic texture. Most commercial ice cream freezers work in a similar fashion. The mixture is pumped into a metal drum surrounded by a very cold refrigerant. This is one of the new technology for icecream. At the same time, a stream of air is introduced into the barrel. Taste variation and consumer convenience are the main factors behind the global demand for frozen dessert products. Additionally, increasing disposable income and the introduction of various products into the dessert category to cater to the choices of many consumer groups are driving the ice cream market.

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Answer:

The average kinetic energy of the atoms and/or molecules increases, roughly, in proportion to the absolute temperature: [eq] As the temperature increases, the diffusivity increases. Therefore, the water molecules of the hot water have more kinetic energy than the cold ones, and they oscillate more rapidly.

Answer:

13,750 kg

Explanation:

p = mv

m = p/v = (152625 kg·m/s) / (11.1 m/s) = 13,750 kg

Answer:

Explanation:

To find the speed of the clock at the lowest point in its swing, we can use the formula:

Speed = (distance) / (time)

In this case, the distance is the length of the clock (0.993 m) multiplied by the sine of the maximum angle of the swing (4.57°).

Speed = (0.993 m) x (sin 4.57°)

But we need to keep in mind that the angle needs to be converted to radians before we can use it in the sin function, since the trigonometric functions operate in radians.

So, the first step is to convert the angle from degrees to radians:

4.57° * (π/180) = 0.0799 radians

Now we can plug that angle in the formula,

Speed = (0.993 m) x (sin 0.0799 radians)

This will give us the speed of the clock at the lowest point of its swing.

The pendulum on grandfather clock is 0.993 m long, and swings to maximum 4.57° angle. It is moving at 0.248 m/s, the lowest point in its swing.

A pendulum is a weight suspended from pivot such that it can swing freely. When the pendulum is displaced sideways from its resting position, equilibrium position, then it is subject to a restoring force due to gravity that will accelerate it back towards equilibrium position.

As, m⋅ g⋅ sin(θ)=mv²/(R⋅sinθ)

So, v² = gr sin²Ф

= 9.8 * 0.993 * sin (4.57)

Hence, v= 0.248 m/s

It is moving at 0.248 m/s the lowest point in its swing.

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Option A is correct. The electronic exchange of business information using a standardized format is known as electronic data interchange (EDI).

a method that enables electronic information transfer between businesses rather than paper-based communication. Trading partners are companies that conduct commerce electronically. The computer-to-computer transmission of common business documents including invoices, bills of lading, shipment schedules, and purchase orders is made possible through an electronic data interchange (EDI). The automatic, computer-to-computer transmission of common electronic business documents between business partners through a standardized, secure connection is known as electronic data interchange (EDI). The electronic exchange of business information using a standardized format is known as electronic data interchange (EDI).

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Option C is the correct answer .

What is lens ?

A lens is a transparent material, usually circular, with two polished surfaces, one or both of which are curved, either convex (curved) or concave (deep). Curves are almost always spherical. That is, the radius of curvature is constant. Lenses have the valuable property of producing images of objects in front of us. Singlet lenses are used in eyeglasses, contact lenses, pocket magnifiers, projection condensers, signal lights, viewfinders, and simple box cameras

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We get 12∘C amount of heat flow in w/m2 through the wall.

According to thermodynamics, heat is a type of energy that crosses a thermodynamic system's boundary due to a temperature differential across the barrier. [1] In a thermodynamic system, heat is not present. But the phrase is also frequently used to refer to the thermal energy that makes up a system's internal energy and is reflected in the system's temperature. Heat is a type of energy in both senses of the word. Heat is energy that is transferred into or out of a thermodynamic system via a mechanism involving either the corresponding macroscopic characteristics or microscopic atomic modes of motion. [3] The transmission of energy through thermodynamic work or mass transfer is not included in this descriptive description.

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At a spot where the film thickness is 932.5 nm,  [tex]$\lambda_1$[/tex] wavelength is missing in the transmitted light.

Wavelength  [tex]$\lambda_3{ }^{\prime}=1417.4 \mathrm{~nm}$[/tex] is strongest in transmitted light.

Index of refraction of soap film n = 0.90. The film is viewed in transmitted light.

(a) Film thickness at a spot = 932.5 nm = t

For destructive interference, we have m= order of wavelength.

n t=m [tex]$\frac{\lambda}{2}[/tex] [tex]\Rightarrow \lambda=\frac{2 n t}{m}$[/tex] where m = 1,2,3 . . .

Therefore the wavelengths that are not reflected or missing in the transmitted light satisfy

[tex]& \lambda_m=\frac{2 n t}{m} \\[/tex]

[tex]& \lambda_1=\frac{2 \times(1.90) \times\left(932.5 \times 10^{-9}\right)}{1}[/tex]

[tex]& \lambda_1=3543.5 \times 10^{-9} \mathrm{~nm} \\[/tex]

[tex]& \lambda_2=\frac{2 \times(1.90) \times\left(932.5 \times 10^{-9}\right)}{2} \\[/tex]

[tex]& \lambda_2=1771.75 \times 10^{-9}\mathrm{~nm} \\[/tex]

[tex]& \lambda_3=\frac{2 \times(1.90) \times\left(932.5 \times 10^{-9}\right)}{3} \\[/tex]

[tex]& \lambda_3=1181.1\times 10^{-9} \mathrm{~nm}[/tex]

The wavelengths [tex]$\lambda_1[/tex], [tex]\lambda_2$[/tex], and [tex]$\lambda_3$[/tex] are close to the visible region of the electromagnetic spectrum for which the destructive interference occurs,

The wavelength of visible light is in the range of 380 nm to 750 nm. So the wavelength [tex]$\lambda_1$[/tex] which falls in the infrared region is invisible [tex]$\lambda_2$[/tex] represents orange and [tex]$\lambda_3$[/tex] represents violet.

The only non-reflected colors are orange [tex]( $\left.\lambda_2\right)$[/tex] and [tex]$\lambda_3$[/tex] (violet).

(b) Wavelength's strongest in transmitted light

For constructive interference, we have

[tex]n t=\frac{\left(m+\frac{1}{2}\right)}{(\lambda / 2)}[/tex]

The wavelengths which are strongly reflected satisfy the condition

[tex]& \lambda_m^{\prime}=\frac{2 n t}{\left(m+\frac{1}{2}\right)}[/tex] where m = 0, 1, 2, 3 . . .

[tex]& \lambda_1^{\prime}=\frac{(2) \times(1.90)\left(932.5 \times 10^{-9}\right)}{\left(0+\frac{1}{2}\right)} \\[/tex]

[tex]&=\frac{1137.65}{0.5} \\[/tex]

[tex]& \lambda_1^{\prime}=7087 \times 10^{-9}\mathrm{~nm} \\[/tex]

[tex]& \lambda_2^{\prime}=\frac{(2) \times(1.90)\left(932.5 \times 10^{-9}\right)}{\left(1+\frac{1}{2}\right)} \\[/tex]

[tex]&=\frac{1137.65}{1.5} \\[/tex]

[tex]& \lambda_2^{\prime}=2362.3 \times 10^{-9}\mathrm{~nm} \\[/tex]

[tex]& \lambda_3^{\prime}=\frac{(2) \times(1.90)\left(932.5 \times 10^{-9}\right)}{\left(2+\frac{1}{2}\right)} \\[/tex]

[tex]&=\frac{1137.65}{2.5} \\[/tex]

[tex]& \lambda_3^{\prime}=1417.4 \times 10^{-9}\mathrm{~nm}[/tex]

According to the visible spectrum, the wavelength range is 380 nm to 750 nm. In the above case only [tex]$\lambda_3^{\prime}=1417.4 \mathrm{~nm}$[/tex] is visible which is blue. So only blue is non-reflective color. The other two wavelengths have transmitted light which is in the infrared region. [tex]\left(\lambda_{+}^{\prime}\right.$[/tex] and [tex]$\left.\lambda_2^{\prime}\right)$[/tex]

The only strong reflection occurs at [tex]$\lambda_3{ }^{\prime}=1417.4 \mathrm{~nm}$[/tex] which corresponds to the blue region.

Therefore the soap film possesses a pronounced blue color.

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A soap film has an index of refraction n = 1.90. The film is viewed in transmitted light.

(a) At a spot where the film thickness is 932.5 nm, which wavelengths are missing in the transmitted light?

(b) Which wavelengths are strongest in transmitted light?

The value of resistor R in the circuit shown in the figure is 19.7 ohm.

A two-terminal passive electrical component used in electrical circuits to limit or regulate the flow of current. A resistor's primary function is to lower the voltage and reduce current flow in a specific area of the circuit.

current I = 0.92 A

The voltage V=> IR

                  V=> 0.92 x 10 = 9.2V (from figure)

current around resistor R = 2 - (0.92 + (9.2/15)) (from figure)

the resistor R = V/I

                     = 9.2 / 0.467 = 19.7 ohm.

The term "electric current" describes both the direction and volume of electricity flowing across a circuit in an electrical device. Amperes are used to measure it (A).

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The field points in the positive x direction and under the influence of the field the proton moves 0.25 meters in that direction are listed below.

What is proton?

With a negative charge, electrons are a particular subatomic particle type. Positively charged subatomic particles called protons fall into this category. The strong nuclear force is responsible for the protons' interconnection in an atom's nucleus. Subatomic particles without charge include neutrons (they are neutral).

What is magnitude?

It displays the motion of an object in motion, including any absolute, relative, or specific sized movements. It can be used to define the size or scope of anything. In physics, the general term "magnitude" is used to describe size or distance.

a, The electric field potential are high to the displacement.

c, The 2.5m/s of the proton after it has moved 0.25 meters, beginning from rest.

Therefore,  field points in the positive x direction and under the influence of the field the proton moves 0.25 meters in that direction are listed below.

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Your meal will warm up in around 15 minutes because to the heat generated by this interaction. Heat is progressively released from it. However, this reaction happens considerably more quickly in a FRH, and as a result, heat is released much more quickly.

An oxidation-reduction reaction, an electron-transfer mechanism, is how ration heaters produce heat. Magnesium metal oxidises in water.

The ingredients used to make the FRHs include food-grade iron, magnesium, and sodium powder. Each FRH is packaged separately in a strong, leak-proof polybag that also acts as the MRE's heating container.

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True. In a head-on collision between two protons, the total momentum of the system must remain the same.

Total momentum is the sum of the momentum of all the objects in a system. Momentum is a vector quantity, meaning it has both magnitude and direction. It is calculated by multiplying the mass of an object by its velocity. In a closed system, the total momentum of the system remains constant, meaning that the momentum of one object increases as the momentum of another decreases. This is known as the law of conservation of momentum. This law states that the total momentum of a system before and after a collision is the same.

Since most of the resultant particles travel to the right, there must be at least one particle that moves to the left in order to conserve the momentum of the system.

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1. Ranking Of The Same Monatomic Ideal Gas Sample on the basis of the temperature of the gas sample in each state is F=E>D>C=B>A.

Monatomic, which is a combination of the terms "mono" and "atomic" and refers to a single atom, is a term used in physics and chemistry. A monatomic gas is a gas in which atoms are not bonded to one another, and it is typically used to describe gases.

All of the noble gases (helium, neon, argon, krypton, xenon, and radon) are examples at conventional temperatures and pressures, yet at sufficiently high temperatures, all chemical elements become monatomic in the gas phase (or very low pressure). Because a monatomic gas has no rotational or vibrational energy, its thermodynamic behavior is significantly simpler than that of polyatomic gases.

We take into account an ideal monatomic gas with particles of mass m that don't interact and whose center of mass stays at rets.

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Complete Question -

Answer:

If there are more molecules present, or there's a bigger surface area on which the reaction happens, there will be more successful collisions and the reaction will go faster. Also, if the temperature is higher, more molecules will have enough energy to react, and the reaction will be faster.

Aluminum has an atomic number of 13. This implies that the Al3+ ion contains the same number of electrons as (13-3 = 10) electrons.

A cation is a positively charged ion, to be more precise. An atom must lose an electron in order to become positively charged. The electronic configurations of an element with atomic number 13 are 2, 8, and 3. Thus, the atom of this element has three electrons in its valence shell. This atom has the valence M. The second element in the periodic table's thirteenth column is aluminum. It is categorized as a "poor metal" and a post-transition metal. 13 protons and 13 electrons make up an aluminum atom. The outer shell has three valence electrons.

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According to the question, the Gravity Coaster travels 34 meters per second.

What is gravity?
Gravity is a natural phenomenon by which all things with mass or energy are brought toward one another. It is most commonly experienced as the force that gives weight to physical objects and causes them to fall toward the ground when dropped. Gravity is caused by the presence of mass or energy and it is the result of space-time curvature. It is the weakest of the four fundamental forces, yet it is the most dominant force in the universe, because it has infinite range and is always attractive. Gravity affects all objects in the universe, including light, and is responsible for the formation of galaxies, stars, planets and even life.

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Answer:

It states that the mass of a whole object is equal to the sum of masses of its parts

Explanation:

Law of conservation of mass states that the sum of the reactants and products in a chemical reaction is the same before and after the reaction .

The electric field strength is 58 cm from the sphere's center. express your answer in meganewtons per coulomb is [tex]{E_{19cm}} = 1.0517 \times {10^6}N/C\end{array}$$[/tex]

The formula for the electric field inside a solid sphere is:

[tex]$$\begin{array}{l}{E_{19cm}} = \frac{{kQr}}{{{R^3}}}\\{E_{19cm}} = \frac{{\left( {9 \times {{10}^9}N{m^2}/{C^2}} \right)\left( {15\mu C \times \frac{{{{10}^{ - 6}}C}}{{1\mu C}}} \right)\left( {19cm \times \frac{{{{10}^{ - 2}}m}}{{1cm}}} \right)}}{{{{\left( {29cm \times \frac{{{{10}^{ - 2}}m}}{{1cm}}} \right)}^3}}}\\{E_{19cm}} = 1.0517 \times {10^6}N/C\end{array}$$[/tex]

An electric-powered subject (occasionally E-discipline) is the bodily discipline that surrounds electrically charged particles and exerts a force on all differently charged particles in the field, either attracting or repelling them. It additionally refers to the bodily discipline of a device of charged debris. electric powered fields originate from electric charges and time-varying electric-powered currents. electric powered fields and magnetic fields are each manifestation of the electromagnetic subject, one of the 4 fundamental interactions (additionally referred to as forces) of nature.

Electric fields are vital in lots of areas of physics and are exploited in electrical generation. In atomic physics and chemistry, for example, the electrical field is the appealing force maintaining the atomic nucleus and electrons collectively in atoms. it's also the force answerable for chemical bonding among atoms that bring about molecules.

The electrical field is described as a vector discipline that pals to each factor in the area the electrostatic (Coulomb) force per unit of fee exerted on an infinitesimal advantageous test fee at relaxation at that factor. The derived SI unit for the electrical discipline is the volt in line with the meter (V/m), which is equal to the newton per coulomb (N/C).

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The magnitude of the force per unit area on sheet i, in n/m2, is equal to the product of the pressure applied to the sheet and its surface area. Therefore, it is necessary to know the applied pressure and the surface area of the sheet to calculate the force per unit area.

1. Determine the applied pressure: The applied pressure is the force applied to the sheet divided by the surface area of the sheet.

2. Calculate the surface area of the sheet: The surface area of the sheet can be calculated by multiplying its length, width, and height.

3. Calculate the force per unit area: Multiply the applied pressure by the surface area of the sheet to calculate the force per unit area, in n/m2.

The magnitude of the force per unit area on sheet i, in n/m2, is equal to the product of the pressure applied to the sheet and its surface area. Therefore, it is necessary to know the applied pressure and the surface area of the sheet to calculate the force per unit area.

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In the given image gravitational potential energy is being transferred to kinetic energy. I n this case, option D is correct.

How does energy transform?

The process of changing energy's form, also known as energy transformation or energy conversion, is called this.

A quantity that allows one to move objects, perform work, or produce heat is referred to as energy in physics.

According to the principle of energy conservation, energy can change forms and be transferred to different locations or things, but it cannot be created or destroyed.

Energy can be used in many different ways, such as to power mechanical work so that machines can be operated, to support natural processes, or to benefit society in other ways, such as by providing for needs such as heating, cooling, lighting, or other societal requirements.

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The net force on the block is not zero since the only force acting on it is gravity. The net force on the incline is always zero since no forces are acting on it. The net force on the block-incline system is always zero since the force of gravity and the normal force of the incline are equal and opposite. The momentum of the block is conserved since it is an isolated system, but the momentum of the incline is not conserved since it is not an isolated system. The momentum of the block-incline system is conserved since no external forces are acting on it.

i. No, the net force on the block is not always zero. Since the block is at rest and the incline is frictionless, the only force acting on the block is gravity, so the net force on the block is not zero.

ii. Yes, the net force on the incline is always zero. Since the incline is not moving and is fixed in place on the table, there are no forces acting on the incline, so the net force on the incline is zero.

iii. Yes, the net force on the block-incline system is always zero. As the block slides down the incline, the force of gravity acts on the block and the normal force of the incline acts on the block. These two forces are equal and opposite, so the net force on the system is zero.

iv. Yes, the momentum of the block is conserved. Momentum is conserved in an isolated system, and the block is an isolated system since no external forces are acting on it.

v. No, the momentum of the incline is not conserved. The incline is not an isolated system since the force of gravity is acting on it. Therefore, the momentum of the incline is not conserved.

vi. Yes, the momentum of the block-incline system is conserved. Since no external forces are acting on the system, the total momentum of the system is conserved.

The net force on the block is not zero since the only force acting on it is gravity. The net force on the incline is always zero since no forces are acting on it. The net force on the block-incline system is always zero since the force of gravity and the normal force of the incline are equal and opposite. The momentum of the block is conserved since it is an isolated system, but the momentum of the incline is not conserved since it is not an isolated system. The momentum of the block-incline system is conserved since no external forces are acting on it.

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( a ) The magnitude of the impulse given to the meteor is 2,480,000 kg.m/s at 22⁰ from original position.

( b ) The magnitude of the force applied to the meteor is 55,111.1 N.

The magnitude of the impulse given to the meteor is calculated from the change in momentum of the meteor.

Mathematically, the formula for Impulse is given as;

J = ΔP

J = m (vf - vi )

where;

The magnitude of the impulse given to the meteor is calculated as follows;

J = ( 310, 000 kg ) ( 27 m/s - 35 m/s )

J = ( 310, 000 kg ) ( -8 m/s )

J = -2,480,000 kg.m/s

| J | = 2,480,000 kg.m/s

The magnitude of the force applied to the meteor is calculated as follows;

F = ma = J / t

where;

F = ( 2,480,000 kg.m/s ) / ( 45 s )

F = 55,111.1 N

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The direction of the current through the wire loop, the direction of the magnetic moment of the loop, and the direction of the magnetic force exerted on the loop are all related to the direction of the changing magnetic field and the direction of the wire loop.

If the magnetic field is increasing and the wire loop is perpendicular to the field, the current will flow in a direction that creates a magnetic moment in the loop that opposes the increasing field. The force on the loop will be in a direction that tends to decrease the change in net flux.

If the magnetic field is decreasing and the wire loop is perpendicular to the field, the current will flow in a direction that creates a magnetic moment in the loop that aligns with the decreasing field. The force on the loop will be in a direction that tends to increase the change in net flux. If the magnetic field is constant and the wire loop is moving perpendicular to the field, the current will flow in a direction that creates a magnetic moment in the loop that is perpendicular to the field and the direction of the loop's motion. The force on the loop will be in a direction that tends to increase the change in net flux. It is worth noting that the direction of the current and magnetic force can be determined by using the "right-hand rule".

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In the equation, Fm represents magnetic force.

option 2 is the correct answer.

Magnetic force, is the force of attraction or repulsion that arises between electrically charged particles because of their motion.

The magnetic force between two parallel current carrying wires is given as;

F / L = ( μI₁I₂ ) / ( 2πr )

where;

The equation that describes Fm stated in the question is interpreted as;

Fm = K M₁M₂ ) / ( d )

where

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B. When displacement approaches the maximum amplitude.

When an object is moving in a periodic motion, such as a harmonic oscillation, the speed of the object is at its maximum when the displacement is closest to the maximum amplitude. At this point, the velocity vector is pointing in the direction of motion and the object is moving at its highest speed. The maximum amplitude is the highest point on the graph of displacement versus time, and it is the point where the object is moving at its fastest.

At the equilibrium point, the object is at rest and the velocity is zero. It's important to note that the maximum speed is not always constant, it will depend on the specific conditions of the oscillation, such as the amplitude and frequency of the motion.

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The answer is 6×10⁴ N/C. In the absence of matter, the energy density in a magnetic field is given by 1/2B2/0; it is expressed in joules per cubic meter.

By integrating the energy density across all of space, one may determine the entire amount of magnetic energy. We interpret uB = B2/(20) as the energy density of the magnetic field, or the amount of energy per unit volume. The amount of energy held in the coil's volume is equal to the amount of energy per unit volume held in the magnetic field multiplied by the coil's volume.

Given: B=(200T) sin [(4.010 1] gives the magnetic field in a plane electromagnetic wave.

5s (t−x/c)].

to determine the largest electric field possible and the average energy density that corresponds to the electric field.

Maximum magnetic field value: B 0 = 200 T 200* 10⁶

An electromagnetic wave travels at c speed.

Therefore, the electric field's greatest value is E 0 = cB 0.

​⟹E \s0 \s​ \s

=200×10⁻⁶ \s ×3×10⁸

⟹E \s0 \s​ \s

=6×10⁴ N/C

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Answer:

9.9 m/s

Explanation:

All of the PE  (mgh) will be cnverted to KE ( 1/2 m v^2)

mgh = 1/2 m v^2

gh = 1/2 v^2

v = sqrt (2 gh)         Note that the mass of the book is not needed !

v = sqrt ( 2 * 9.81 m/s^2 * 5) = 9.9 m/s