find the length of the arc of the curve from point p to point q. y = 1 2 x2, p −7, 49 2 , q 7, 49 2find the length of the arc of the curve from point p to point q. y = 1 2 x2, p −7, 49 2 , q 7, 49 2

The value of resistance for given current and potential difference is 78.6 ohm.

The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega () represents the unit of measurement for resistance, known as ohms.

The ratio of the electric current flowing through it to the voltage applied is the definition of electrical resistance for a circuit component or device: Ohm's law, I = V/R, can be used to anticipate the behavior of the material if the resistance remains constant over a wide range of voltage.

V = 110

VI = 1.4 A

The voltage in this case is V, while the current is I.

Write the voltage expression based on Ohm's law, then rearrange the terms to arrive at the resistance expression, R. The value of R can then be calculated by substituting the necessary numbers.

V = I R

R = V / I

R = 110 / 1.40

R = 78.6 ohm

Here, 78.6 ohm is the measured value of resistance. As a result, choice B is accurate.

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W = F. ds is the equation that results when a force F operates on a particle and the particle is moved by a displacement ds. F. ds. cos is equal to this dot product.

When there is force, there is work. There will always be a force, and that force will always work. The body will move slightly as a result of the imparted force. No force is applied if there is no displacement. Two requirements must be met in order for work to occur: a force must be applied. The force ought to result in some movement. Therefore, the formula for work is: work = product of force magnitude, displacement, and cosine of the angle formed by the vectors of force and displacement.

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F = - 600 N is the net force on the racecar .

What is acceleration ?

Acceleration is a measure of how quickly an object changes its velocity, or the rate at which its velocity changes over time. It is a vector quantity, which means it has both magnitude and direction. In physics, acceleration is usually defined as the change in velocity per unit time, and is expressed in units of meters per second squared (m/s^2). Acceleration can result from a change in speed, direction, or both. Objects that are accelerating are said to be undergoing a net force, and their acceleration is proportional to the magnitude of the force and inversely proportional to their mass.

Rate of change of momentum = net force acting on the object …………

m Vf - m Vi / t = net force acting on the object

m (Vf - Vi / t) = F

1200 ( 0 - 10 /20) = - 600 N = F

so, net force acting on the object =

F = - 600 N

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When s=20km the percentage of vmax reached is 83.33%.

As per the data given in the above question are as bellow,

The data share are as bellow,

The value of s is equal to 20km.

We have to determine the percentage of vmax reached.

We have to use the formula of rate of energy catayzed reaction.

A appropriate catalyst can be added to a reaction to accelerate its pace. A catalyst is a material that speeds up a chemical process without being consumed (remains chemically unchanged at the end). It offers a different, lower-activation-energy reaction route.

Rate of energy calculate reaction is equal to vmax upon km plus s

V=(vmax[s])/(KM+[s])

V=[tex]\frac{vmax\:5Km}{Km+5km}[/tex]

V=[tex]\frac{5vmax\:Km}{6km}[/tex]

Cancelling Km we get,

V=[tex]\frac{5}{6} vmax[/tex]

Percentage of Vmax reached [tex]\frac{\frac{5}{6}vmax }{vmax} \times 100[/tex]

83.33%

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When the speed of electrons striking the anode increases, then the frequency of the emitted X rays increases.

Electrons lose their kinetic energy when they reach the anode surface because they slow down dramatically. Heat or x-rays are created from kinetic energy. Individual atoms of the anode material engage in interactions with the electrons.

As electrons are accelerated from cathode towards the anode, more number of X rays are emitted. As the speed of the electrons increases,  thermionic emission increases resulting in more heat and number of X rays being released. frequency of the emitted x-rays increases?

Greater is the number of electrons striking the anode, then larger is the number of X−ray photons emitted.

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Answer:

Qb = 2 Qa         magnitude of charge on B is twice that of A

F = K Qa * Qb / R^2   both charges experience the same force

Ea = K Qa / s^2       field strength of A at distance S

Eb = K Qb / s^2       field strength of B at distance S

The electric field strength of B  is twice that of A

That means that charge on A is 1/2 that on B for the forces on each to be the same:

Fa = Qa * Eb

Fb = Qb * Ea

The energy stored in a 5.0 henry inductor carrying 35 A is 3062.5 Joule.

An electrical conductor's tendency to resist a change in the flow of current through it is known as inductance. The SI unit for inductance is Henry, and L is used to denote it.

Inductance of the inductor is: L = 5.0 Henry.

Current flowing through it is: I = 35 ampere.

Hence, the energy stored in it = 1/2 × L × I²

= 1/2 × 5.0 × 35² Joule

= 3062.5 Joule.

So, the energy stored in the inductor  is  3062.5 Joule.

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This force exerted on you by the earth is also your weight, option B.

The gravitational pull of the Earth on a body is referred to as the body's weight. Also, weight is the gravitational force between the earth and an object. It is also equal to the product of gravity's acceleration and the object's mass.

The force you exert on the earth in free fall is equal to your weight. The third law of Newton. Forces that are equal and opposite. With your weight, the Earth pulls on you. In other words, an object's weight is determined by the pull of gravity on it.

The complete question is:

This force exerted on you by the earth is also

A. your mass

B. your weight

C. half you mass

D. half your weight

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The magnitude of the electric field of the dipole at a point far away in the -direction, a distance away from the midpoint of the dipole is given by

|E| = |-(p * k) / r^3|

Generally, The electric field of an electric dipole at a point far away from the midpoint of the dipole is given by the following expression:

E = (p * k) / r^3 * (3 *cos(theta) * i^ + sin(theta) * j^)

where:

p is the magnitude of the dipole moment, equal to q * d (q is the charge and d is the distance between the charges)

k is the Coulomb constant (9 x 10^9 N * m^2/C^2)

r is the distance from the dipole to the point where the electric field

is being calculated theta is the angle between the vector pointing from the dipole to the point where the electric field is being calculated and the dipole moment vector (in this case, the -axis) i^ and j^ are the unit vectors in the x and y directions, respectively.

Since the dipole is oriented along the -axis and the point where the electric field is being calculated is far away in the -direction,

theta = pi and the expression for the electric field becomes:

E = (p * k) / r^3 * (3 *cos(pi) * i^ + sin(pi) * j^)

E = -(p * k) / r^3 * (i^)

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The proton's speed will be 2.68 x 108 m/s if its overall kinetic energy is 80%.

What is kinetic energy?

The energy of motion, or kinetic energy, can be seen in the movement of an item or subatomic particle. Kinetic energy is present in every moving object and particle. Kinetic energy is present when something moves, such as a person walking, a baseball soaring through the air, a piece of food dropping from a table, or a charged particle in an electric field.

Kinetic energy of proton ,

K.E = ¹/₂mc²

c is the speed of light

m is the mass

Given, K.E2 is 80% of K.E1 i.e. 0.80K.E1

If K.E₁/c₁² = K.E₂/c₂²

c₂ = √(0.8K.E₁c₁²/K.E₁)

c₂ = √(0.8c₁²)

c₂ = c₁√(0.8)

c₂ = 3 x 10⁸ m/s x √(0.8)

c₂ = 2.68 x 10⁸ m/s

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The volume of blood that flows per second through the pulmonary artery  is  2.81 cm^3/s and the blood flow rate is reduced to 0.75.

A. To find the volume of blood that flows per second through the pulmonary artery, we need to use the formula for the volume flow rate of a fluid, which is:

Q = A × v

Where Q is the volume flow rate, A is the cross-sectional area of the artery, and v is the velocity of the blood flow.

We can find the cross-sectional area of the artery using the formula for the area of a circle:

A = πr²

Where r is the radius of the artery.

Substituting in the given values:

r = 2.4 mm = 0.0024 m

A = πr² = π×(0.0024 m)² = 1.13 × 10⁻⁶ m²

We are given that the pressure difference over the length of the pulmonary artery is 450 Pa, and Poiseuille's Law states that the flow rate of a fluid is directly proportional to the pressure difference, and inversely proportional to the viscosity of the fluid and the radius of the vessel, and directly proportional to the fourth power of the radius.

Q = (πr⁴Ρ)÷8ηL

Where η is the viscosity of the fluid and L is the length of the vessel.

Q = (π×(0.0024 m)⁴⁴⁵⁰ Pa)÷8η×8.510⁻² m

Q = 2.81 × 10⁻⁵ m³/s

Q=2.81×10⁻⁵ m³/s ×1000 cm³/m³ = 2.81 cm³/s

B. When the radius of the artery is reduced by 10%, the radius becomes 0.0024 m × 0.9 = 0.00216 m. The new cross-sectional area of the artery is A = π×(0.00216 m)² = 9.55 * 10⁻⁷ m²

Using Poiseuille's Law again we can find the new volume flow rate,

Q = (π×(0.00216 m)⁴⁴⁵⁰ Pa) ÷8η×8.510⁻² m

Q = 2.10 × 10⁻⁵ m³/s

Q=2.10×10⁻⁵ m³/s × 1000 cm³/m³ = 2.10 cm³/s

The new flow rate is 2.10 cm³/s / 2.81 cm³/s = 0.75

So the blood flow rate is reduced by a factor of 0.75 (or 75%) when the radius of the artery is reduced by 10%.

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The interference pattern obtained in a double-slit experiment with light of wavelength 2λ with an intensity ratio between the bright and dark fringes.

Due to the dependence of the spacing between the slits on L, the spacings between various fringes get smaller as the distance between them gets bigger. The space between various fringes grows as the light's wavelength rises because this is a wavelength-dependent property.

The double-slit experiment shows that light is a wave and creates an interference pattern. The interference pattern is made up of alternate black and light lines; the light lines are known as fringes.

An interface establishes the communication barrier between two entities, in this case two pieces of software, as well as defining the signature actions of an entity.

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The amount of  force that must be applied to lift the object is 3 N.

option B is the correct answer.

The amount of force that must be applied to lift the load is calculated by applying formula of mechanical advantage.

The mechanical advantage of a simple machine is the ratio of load to effort applied to overcome the load. Also, it can be defined as the ratio of output force to input force, otherwise known as force ratio.

Mathematically, the formula for mechanical advantage is given as;

M.A = output force / input force

M.A = load / effort

The amount of  force that must be applied to lift the object is calculated as;

M.A = Fo / Fi

where;

Fi = ( Fo ) / ( M.A )

Fi = ( 9 N ) / ( 3 )

Fi = 3 N

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Force = 50N

Weight = Mass × Gravity = 25

Mass = 25 ÷ 10 = 2.5Kg

Time = 5 Seconds

we know

Force = mass × acceleration

50 = 2.5 × Velocity ÷ Time

50÷2.5 = Velocity ÷ 5

Velocity = 250 ÷ 2.5

Velocity = 100m/s.

Answer:

100m/s

Explanation:

force(f) = 50N

weight = 25N

weight = mass × gravity

25 = m × 10

25 = 10m

m = 25/10

m = 2.5kg

time(t) = 5sec

impulse formula

ft = m(∆v)

by substituting

50 × 5 = 2.5∆v

250 = 2.5∆v

∆v = 250/2.5

∆v = 100m/s

i hope this helped

Correct option is C, Compound can be broken down into simpler substances.

Additionally, compounds can be divided into more basic components. While some elements only have one letter as their symbol, some have two. A formula is what we create when we represent a compound with symbols. For instance, table salt is a substance consisting of one sodium (Na) and one chlorine (Cl) atom (Cl).

Simpler substances cannot be created from elements. When a compound is broken down, two or more simpler compounds result. Elements are pure substances, 113 of which are recognized. Millions of chemicals exist. Each water molecule is made up chemically of two hydrogen and one oxygen atoms. Only chemical processes can break down water into its constituent parts. Features that make it possible to identify one type of substance from another

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If, at a given time, the position of a subatomic particle is precisely known  its velocity cannot be precisely known.

What is a subatomic particle?

Simply put, a subatomic particle is a particle that is smaller than an atom. Protons, electrons, and neutrons are the three subatomic particles that may typically be separated from an atom.

The uncertainty principle, which was first put forth by German physicist and Nobel laureate Werner Heisenberg in 1927, states that we cannot know both the position and speed of a particle, such as a proton or electron, with absolute precision; the more precisely we can determine the particle's position, the less we know about its speed, and vice versa.

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Macroscopic is the right answer. The word "macroscopic" best describes the volume of water in a swimming pool. The "large picture" might be referred to as a macroscopic position.

High energy physics, which studies the physical systems, is another name for particle physics. Low energy physics is the study of physics at larger length scales, such as the macroscopic scale. The macroscopic scale is the length scale when things are large enough to be seen with the  eye without the use of optical magnifying devices. The polar opposite of microscopic, it. Pressure, volume, temperature, and other such things are typical instances of macroscopic characteristics. For instance, the only component of the structures of diamond and graphite is carbon.

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The sock's linear speed is 1.57 m/s.

Linear speed is described as the measure of the concrete distance travelled by a moving object or the speed with which an object moves in the linear path is termed linear speed.

The sock spins once every 2.0 seconds, so its period is

T = 2.0 s

Therefore, the angular velocity of the sock is

angular velocity = 2π/ T

angular velocity = 3.14 rad/sec

The linear speed of the sock is given by

v = wr

where

w is the angular velocity

r = 0.50 m is the radius of the circular path of the sock

Substituting the values, we have that

v = wr = 3.14 x 0.50

v = 1.57 m/s.

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The image formed is inverted. From the ray diagram, the object and image are on same side of the mirror. Thus, the imaged formed is real.

What is Inverted Image?

A section of physics called optics studies how light behaves and interacts with objects. Lenses are curved, transparent structures that are often constructed of glass and are used for focussing or dispersing light.

A convex lens is the opposite of a concave lens. Light rays converge in convex lenses as opposed to concave lenses. The convex lens converges incident rays towards its central axis because, in contrast to the concave lens, it is larger in the middle and thinner at the corners.

The edges of the convex lens are curled outward rather than inward. When the light is intensely focused beyond the focal length of the lens, the image appears smaller and inverted.

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The Q value for the reaction 9be + α → 12c + n is 4.68 Mev. The amount of energy absorbed or released during a nuclear reaction is known as the Q value for that reaction.

It is a measurement parameter by which we can describe it is exothermic or endothermic. If Q value is -ve then endothermic if +ve then exothermic

[tex]Q_{value}=(m_{r}- m_{p})931 .5~MeV[/tex]

where  

[tex]m_{p} = sum ~of ~masses~ of~ products\\\\m_{r}= sum ~of~ masses~ of ~reactants[/tex]  

Mass of reactants = Mass of Be + Mass of He

                                =9.0121+4.0015

                               = 13.0136 u

Mass of products = Mass of C + Mass of H  

                               =  12+1.0086

                                =13.0086 u

   Q={(13.0136)-(13.0086)(931.5}  

  Q=4.68 MeV

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Answer:

Explanation:

We can use the work-energy principle to solve this problem. The work-energy principle states that the work done on an object is equal to the change in kinetic energy of the object.

We can begin by finding the spring constant (k) of the spring. The spring constant is the force required to compress a spring by a certain distance. We can use the information given to us in the problem to find the spring constant:

k = F / x = 334 N / 0.024 m = 13,916.67 N/m

Now we can use the spring constant, the compression distance (3.5 cm) and the mass of the block (1.15 kg) to find the work done on the block as it compresses the spring:

work = 1/2 * k * x^2 = 1/2 * 13,916.67 N/m * (0.035 m)^2 = 97.4 J

Since the block is released from rest, its initial kinetic energy is zero. So, the work done on the block as it compresses the spring is equal to its final kinetic energy.

We know that the block slides down on a frictionless incline, so we need to consider the work done by gravity on the block during its motion. The work done by gravity is given by the equation:

work = force * distance * cos(theta)

where force is the force of gravity acting on the block, distance is the distance the block slides down the incline and theta is the angle of the incline with the ground.

force = m * g , where m = 1.15 kg and g = 9.8 m/s^2

distance = s

theta = 35°

substituting the values

work = (1.15 kg * 9.8 m/s^2) * s * cos(35°)

Now we can add the work done by gravity to the work done by the spring to find the total work done on the block.

work = 97.4 J + (1.15 kg * 9.8 m/s^2) * s * cos(35°) = 97.4 J + (11.37 N) * s * cos(35°)

Now we can solve for s, the distance the block travelled.

s = (97.4 J) / (11.37 N * cos(35°))

The final answer will be in meters.

The graph slants upward in the first part and then levels out because it is showing the relationship between two variables that are not directly proportional.

Graph in physics is a visual representation of a relationship between two or more physical quantities. It is used to show how these physical quantities are related and to make predictions about the physical system being studied. Graphs are an essential tool in physics, as they help to illustrate the relationships between physical variables in a clear and concise way. Graphs can also be used to calculate specific values, such as the speed of an object or the area of a circle.

As the independent variable (on the x-axis) increases, the dependent variable (on the y-axis) increases at a diminishing rate, until the point of saturation is reached and the graph levels out. The relationship between the two variables is referred to as an exponential relationship, where the dependent variable reaches its maximum value as the independent variable approaches infinity.

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If two city buses are traveling at 24 miles per hour and the buses are the same model and year but one bus has 30 passengers while the other bus has 12 passengers.  the best prediction is that the bus with 12 Passengers will cover those 24 miles with faster speed than the other.

Speed means, the rate by which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.

mile, any of several distance measurements, such as the statute mile (5,280 ft) (1.609 km). It generally derived from the mille passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.

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Answer:

1. What does an object's kinetic energy depend on?

its mass and speed

2. Two city buses are traveling at 24 miles per hour. The buses are the same model and year. One bus has 30 passengers. The other bus has 12 passengers. Which is the best prediction?

The bus with 12 passengers will have less kinetic energy.

3. A softball player hits a ball at 78 miles per hour. Then she hits a ball at 80 miles per hour. Which is the best prediction?

The ball hit at 80 miles per hour will have more kinetic energy.

4. A hawk is chasing a sparrow. At the beginning of the chase, the hawk's kinetic energy is 5.1 Joules. At the end of the chase, the hawk doubles its speed. What is the best prediction for its kinetic energy at the end of the chase?

20.4 J

5. A student rolls two marbles down an inclined plane. One marble has a mass of 4.8 grams. The student calculates its kinetic energy to be 0.0035 Joules when it reaches the end of the plane. The second marble has a mass of 2.4 grams. What is the best prediction for its kinetic energy at the end of the plane?

0.00175 J

The work function of the photocathode is 1.38ev.,  The value of maximum kinetic energy is 1.174 ev.

Work function = hc/λ

Where h = plank's constant

c = speed of light

λ = wavelength of light

⇒ (6.63 × 10⁻³⁴ × 3 × 10⁸) / 900 × 10⁻⁹

⇒  1.38ev                                                     ......(1)

∴ The work function of the photocathode is 1.38ev.

Max Kinetic energy = hν - hν₀

From (1)

⇒ 1.38 - 6.63 × 10⁻³⁴ × 3 × 10⁸ / 600 × 10⁻⁹

⇒  1.38    - 0.33 × 10 ⁻¹⁹

⇒  1.38 - 0.206ev

⇒ 1.174 ev

The value of maximum kinetic energy is 1.174 ev.

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With the diagram and the data the magnitude of A +B is  13.2 cm.

What is Magnatitude?

Magnatitude is a measure of the strength of a magnetic field. It is typically expressed in units of tesla (T), which is equivalent to one newton per ampere-meter (N/A-m).Magnatitude is a useful tool for measuring the intensity of magnetic fields in various applications, such as in medical imaging, geophysics, and astrophysics. It can also be used to measure the strength of a permanent magnet.

What is Astrophysics?

Astrophysics is a branch of astronomy that deals with the physical and chemical properties of celestial objects, including stars, planets, galaxies, and the interstellar medium. It also focuses on the study of the origin and evolution of these objects, as well as their interactions with each other and with the surrounding environment. Astrophysics is a multidisciplinary field that draws on the principles and methods of physics, mathematics, and chemistry.

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The force in newtons this pressure creates on the 600 cm2 surface area of the diaphragm is 4.802 N.

P =60.0mm×133.3pa/1mm hg = 7998.

= 600/100² = 0.06

= 7998×0.06= 4.802N.

Stress is the force applied perpendicular to the surface of an object in keeping with the unit location over which that force is shipped. Gauge strain is the strain relative to the ambient strain. Numerous gadgets are used for the specific strain. strain is defined to be the quantity of pressure exerted per location.

The pascal (Pa) is the same old unit of stress. A pascal is a very small quantity of stress, so the most beneficial unit for normal gasoline pressures is the kilopascal (kPa). A kilopascal is equal to a thousand pascals. Another usually used unit of pressure is the atmosphere (atm).strain is commonly measured in units of pressure in step with a unit of surface vicinity ( P = F / A). In bodily technological know-how, the image for strain is p and the SI unit for measuring stress is the pascal (image: Pa). One pascal is the pressure of one Newton consistent with a square meter appearing perpendicular on a floor.

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Complete Question:

During forced exhalation, such as when blowing up a balloon, the diaphragm and chest muscles create a pressure of 60.0 mm Hg between the lungs and chest wall. What force in newtons does this pressure create on the 600 cm2 surface area of the diaphragm?

This pressure exerts a 4.802 N force on the 600 cm2 surface area of the diaphragm.

The force delivered perpendicularly to an object's surface in accordance with the unit location across which that force is distributed is known as stress. The strain in relation to the ambient strain is known as gauge strain. There are several tools utilised for the particular strain. The amount of pressure applied to each site is referred to as strain.

The traditional unit of stress is the pascal (Pa). The kilopascal is the ideal measure for regular fuel pressures since a pascal is a relatively modest amount of tension (kPa). One thousand pascals is equivalent to one kilopascal. The atmosphere is another frequently used unit of pressure (atm). Pressure units along with a unit of surface proximity are widely used to quantify strain (P = F / A). In physical technology, the SI unit for measuring stress is the pascal, and the image for strain is p. (image: Pa). The pressure of one Newton equivalent to a square metre appearing perpendicular to the ground is one pascal.

Chest muscles create a pressure of 60.0 mm hg

P =60.0mm×133.3pa/1mm hg = 7998.

= 600/100² = 0.06

= 7998×0.06= 4.802N.

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A young boy is standing at rest on a stationary skateboard. He loses his balance and flies off the skateboard, then the "recoil" velocity of the skateboard is calculated as 50.40 m/s.

When you fire bullet from gun, then gun experiences a force in the backward direction. Because of this force, gun attains velocity in the backward direction and this velocity is known as recoil velocity.

Given; v1, velocity of boy = -2.8 m/s ands m1, mass of boy = 45 kg and m2, mass of skateboard is 2.5 kg

Let v2 be recoil velocity of skateboard

As, m1u1+m2u2=m1v1+m2v2

u1=0; u2=0( given boy and skateboard at rest initially)

So,0=m1v1+m2v2

Hence, recoil velocity v2= -(m1/m2)v1.

= (- 45/2.5 )* -2.8

= 50.40 m/s

The "recoil" velocity of the skateboard is 50.40 m/s

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V = 336.46  m/sec is the speed of the bullet .

What is displacement ?

Displacement in mechanics. The distance a particle or object travels in a particular direction. Particles and bodies are usually treated as point masses. That is, without loss of generality, an object can be treated as if all its mass were concentrated at one mathematical point. In the figure, A is the start position of the point, B is the end position, and the straight line from A to B is the displacement. The distance a point moves depends on the path it follows. Equals the amount of displacement only if the path is straight. In mechanics, it is often necessary to distinguish between the distance a point moves (or the distance a force acts) and the displacement of a point or force. Displacement is a vector quantity because it has both magnitude and direction.

Let speed of bullet be "V". Then we have:

{Speed Of Bullet}  =  V

{Time For Bullet To Travel

Distance "d" Between Rotating Disks} =  T  =

         = d/V

         = (0.850 m)/V

        =  (0.850)/V     (<---Eqn #1)

{Disk Rotational Speed}  =  ω  =  95.0 rad/sec

{Angular Displacement Between Bullet Holes} =  θ =  0.240 rad

{Time Between Successive Disk Bullet Holes}  =  T =

        =  θ/ω

        =  (0.240)/(95.0)

         = 0.002526315 sec     (<--- Eqn#2)

We now equate Eqn #1 & #2, and solve for "V":

    (0.850)/V  =  0.002526315

    ---->    V =  (0.850)/(0.002526315)

    ---->    {Bullet Velocity} =  V = 336.46  m/sec

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The  3.12 cm distance below the faucet has the water stream narrowed to 10 mm diameter.

What is distance ?

Distance is the overall distance that an object actually travels along its course. The displacement of an object between two points is the smallest straight-line distance between those two points, measured from one position to the other. The metric system is used to measure both displacement and distance (m).

What is diameter ?

The centre of a figure or body is defined as a straight line. specifically: the length of a diameter, which is a line segment passing through the centre of a circle and ending on the circumference.

1 Liter converts to 1 X 10-3 m3, therefore the volume flow rate is

1 X 10-3/15 = 6.667 X 10-5 m3/s

That flow rate = Av so we can find v at the two different diameters

At 16 mm diameter, we get 6.667 X 10-5 = (π)(8 X 10-3)2(v)

v = .3317 m/s

At 10 mm diameter, we get 6.667 X 10-5 = (π)(5 X 10-3)2(v)

v = .8493 m/s

Finally apply vf2 = vo2 + 2ad

(.8493)2 = (.3317)2 + 2(9.8)(d)

d = .0312 m  which is 3.12 cm

Therefore,  3.12 cm distance below the faucet has the water stream narrowed to 10 mm diameter.

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