The cyclist travels to point A, pedaling until he reaches a speed v_A = 4 m/s. He then coasts freely up the curved surface. Determine how high he reaches up the surface before he comes to a stop. Also, what are the resultant normal force on the surface at this point and his acceleration? The total mass of the bike and man is 75 kg. Neglect friction, the mass of the wheels, and the size of the bicycle.

Answers

Answer 1

The cyclist will reach a height of 8 meters before coming to a stop.

When the cyclist reaches point A, he has kinetic energy which is converted into potential energy as he travels up the curved surface. Since there is no friction, the work done by gravity is equal to the change in potential energy. Therefore, the potential energy at the highest point is equal to the initial kinetic energy.

Initial kinetic energy = 1/2 * mass * velocity^2 = 1/2 * 75 kg * (4 m/s)^2 = 600 J

Potential energy at highest point = mass * g * height

where g is the acceleration due to gravity, which is approximately 9.8 m/s^2.

Therefore, height = (potential energy at highest point)/(mass * g) = 600 J/(75 kg * 9.8 m/s^2) = 8 meters.

Since the cyclist comes to a stop at the highest point, his acceleration at that point is 0. The normal force on the surface at that point is equal to the gravitational force on the cyclist, which is given by N = m * g = 75 kg * 9.8 m/s^2 = 735 N.

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Related Questions

How would a speed vs. time line graph appear if an airplane moved at a
positive acceleration?

Answers

Answer:

Explanation:

Acceleration is the time rate of change, or the rate, of the velocity. Therefore, the slope y/x of a speed vs time graph would give the acceleration. If the acceleration is said to be positive, the graph would be a straight line that is at a constant increase over time.

Car makers have developed cars that are completely electric. They use no gasoline. Instead, they are plugged into electrical outlets. The cars store electricity from the outlets in their batteries. They use the electricity to move. Some people claim that these electric cars are “emission-free”—that is, that they produce no air pollution. Are plug-in electric cars really emission-free? Explain your answer.

Answers

Answer:

yes bc we are wasting gas and this will help use less

Explanation:

________states that energy can only transfer from a higher energy state into a lower energy state and the movement of energy stops when both states are in equilibrium

Answers

The statement that describes the concept you're referring to is the Second Law of Thermodynamics.

The Second Law of Thermodynamics states that in any isolated system, the natural direction of energy transfer is from a higher energy state to a lower energy state. This principle is often summarized as "heat flows from hot to cold." It implies that energy tends to disperse or spread out, seeking equilibrium. Once equilibrium is reached, there is no further net movement of energy. This law has significant implications for understanding the behavior of heat, work, and energy in various systems, providing a fundamental basis for concepts such as entropy and the irreversibility of certain processes.

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PLEASE HELP!!! WILL MARK BRAINLIEST!! Name and define the four fundamental forces.

Answers

Answer:

Gravity - is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward one another.

Strong Interaction - is the mechanism responsible for the strong nuclear force

Weak Interaction - is the mechanism of interaction between subatomic particles that is responsible for the radioactive decay of atoms

Electromagnetism - is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.

Hope this helps!

answer questions show work #3
3. Determine the value of ID and VDs for the DS following amplifier. 10 RD 10V 3KD Points 0.47μF 01 G= 0.47μF Hilt RG 1.5MO -1V N5486 VGSoff = -4V IDSS = 14mA

Answers

The given amplifier circuit is a common-source amplifier. The equivalent circuit diagram of the amplifier includes a MOSFET N5486 transistor. We can determine the drain current (ID) and drain-source voltage (VDS) using the following equations:

1. Voltage at the source terminal (VS) is calculated using Ohm's law: VS = IS x RS.2. The drain current (ID) can be calculated using the equation ID = IS (1 + GVin), where Vin is the input voltage, G is the voltage gain, and IS is the current flowing through RD.Let's calculate the values of ID and VDS:

Given:- IS = VDD / RD = 10V / 10Ω = 1A- Vin = -1V / (1.5 x 10^6Ω + 0.47μF) = -0.6666667μA (using voltage divider rule)- G = -RD / RS = -10Ω / 3kΩ = -0.003333 Calculating ID:ID = 1A (1 - 0.003333 x 0.6666667 x 10^6)≈ 0.997A = 997mACalculating VDS:VDS = VDD - IDRD= 10V - 997mA x 10Ω≈ 10V - 9.97V≈ 0.03VTherefore, the values of ID and VDS are approximately ID = 997mA and VDS ≈ 0.03V, respectively.

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What are two models of light? How does each model explain part of the behavior of light?
Discuss the path that light takes through the human eye.

Answers

Two models of light are wave model of light and particle model of light. Each model explains part of the behavior of light in the following ways:

Wave model of light

The wave model of light explains the wave-like properties of light, such as diffraction and interference, as well as the phenomenon of polarization. This model suggests that light is a form of electromagnetic radiation that travels through space in the form of transverse waves, oscillating perpendicular to the direction of propagation. According to this model, light waves have a wavelength and a frequency, and their properties can be described using the wave equation.

Particle model of light

The particle model of light, also known as the photon model of light, explains the particle-like properties of light, such as the photoelectric effect and the Compton effect. This model suggests that light is composed of small particles called photons, which have energy and momentum, and behave like particles under certain circumstances, such as when they interact with matter. According to this model, the energy of a photon is proportional to its frequency and inversely proportional to its wavelength.

Light passes through the human eye in the following path:

Cornea: The clear, protective outer layer of the eye. It refracts light into the eye.

Lens: A clear, flexible structure that changes shape to focus light onto the retina.

Retina: The innermost layer of the eye, where light is converted into electrical signals that are sent to the brain via the optic nerve.

Optic nerve: A bundle of nerve fibers that carries electrical signals from the retina to the brain. The brain interprets these signals as visual images.

Pupil: The black hole in the center of the iris that allows light to enter the eye.Iris: The colored part of the eye that controls the size of the pupil. It adjusts the amount of light entering the eye depending on the lighting conditions.

Vitreous humor: A clear, gel-like substance that fills the space between the lens and the retina. It helps maintain the shape of the eye.

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Help please!!!!! How does ozone form from vehicle exhaust?

Answers

Answer:  NOx and VOC combine chemically with oxygen to form ozone

Explanation:

35. Vector A has a negative x component 3.00 units in
M length and a positive y component 2.00 units in length.

Answers

According to the given statement the value of :

a -  \(\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}\)

b - θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰

c-\(\overrightarrow{\mathrm{B}}=3.00 \hat{\mathrm{i}}+6.00 \hat{\mathrm{j}}\)

What purposes do vector?

In science, anything that has both a direction and a magnitude is referred to as a vector. They are typically represented by pointing arrows, the length of which denotes the size of the vector.

Briefing:

The component description of  A is just restated to constitute the answer to part (a):

A\(_x\) = -3.00 , A\(_y\) = 2.00

(a) \(\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}\)

(b) \(|\overrightarrow{\mathrm{A}}|\) =  √(A\(_z\)² + A\(_y\)²) = √( (-3.00)² + (2.00)²) = 3.61

θ = tan -1 \(\left(\frac{\mathrm{A}_{\mathrm{y}}}{\mathrm{A}_{\mathrm{x}}}\right)\) = tan-1 \(\left(\frac{2.00}{-3.00}\right)\) = -33.7⁰

θ is in the second quadrant so θ = 180⁰ + (-33.7⁰) = 146⁰

(c) R\(_x\) = 0, R\(_y\) = -4.00 and \(\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}\)   thus \(\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}\)   and

B\(_x\) = R\(_x\) -A\(_x\) = 0-(-3.00) = 3.00,

B\(_y\) = R\(_y\) - A\(_y\) = -4.00-2.00= -6.00

therefore \(\overrightarrow{\mathrm{B}}=3.00 \hat{i}+6.00 \hat{j}\).

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The complete question is -

Vector  A  has a negative x component 3.00 units in length and a positive y component 2.00 units in length. (a) Determine an expression for  A in unit-vector notation. (b) Determine the magnitude and direction of  A. (c) What vector  B  when added to  A  gives a resultant vector with no x component and a negative y component 4.00 units in length.

A bullet is fired upward with an initial velocity of 100 m/s. What will be it’s velocity when it hit the ground?

Answers

A bullet is fired upward with an initial velocity of 100 m/s. What will be it’s velocity when it hit the ground?

Zero. It is sitting on the ground.   This would almost always “assume” a friction-less environment where the only force acting on the bullet is gravity.  In this case, it would be 100 m/s immediately before hitting the ground. (zero once it comes to rest)

A bicycle gear wheel is a disc with 50 ‘teeth' equally spaced around its edge, as shown. The gear wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth'. The metal strip produces a sound of frequency that is equal to the frequency of vibration of the strip

Answers

Answer:

0.66m

Explanation:

The question is not complete, here is the complete question, also see attached the image.

"A bicycle gear wheel is a disc with 50 ‘teeth’ equally spaced around its edge, as shown. The gear  wheel is rotated 10 times each second. A springy strip of metal is vibrated by the rotating ‘teeth’.  The metal strip produces a sound of frequency that is equal to the frequency of vibration of the  strip. The speed of sound in air is 330ms–1.  What is the wavelength of the emitted sound?"

given data

number of teeth= 50        

we are told that the gear is rotated 10 times in 1 sec,  

hence the frequency of the rotation past the strip is

=50*10  

=500Hz    

speed of sound= 330m/s

we know that

  \(v_w = f \Lambda\)-----------1

where Vw is the speed of sound,

f is its frequency, and

λ is its wavelength.

λ=Vw/f

λ=330/500

λ=0.66m

A bicycle gear wheel is a disc with 50 teeth' equally spaced around its edge, as shown. The gear wheel

Which of the following situations would cause the greatest decrease in the motion of molecules in a system

Which of the following situations would cause the greatest decrease in the motion of molecules in a system

Answers

A is the correct answer

Answer:

Actually, the correct answer is D. The system releases 75 J of heat, and its volume doubles.

Explanation:

I took this computer-scored test, and while I was stuck on this answer for a while, I was able to get 100%. This was my thought process:

We know that molecular motion increases with an increase in temperature, because collisions increase. For that reason, for molecular motion to decrease in a system, as the question states, the system must RELEASE heat and decrease in temperature.  Additionally, when a system's volume is smaller, its molecular motion increases. This is because the molecules hit the container more easily and more often. If the volume is halved then, the molecules would have MORE motion, which we aren't looking for in this question! Therefore, the volume must DOUBLE so that less molecular motion takes place. The answer is D! :)

Paragraph Styles Question 4 A condenser is used to condense substances from gaseous to liquid state, typically by cooling it. In this problem, a stream of humid air (58.0 mol % water), 8.8 mol % O₂ and the remaining N₂ enters a condenser at 150°C. 80% of the water vapor in the humid air is condensed and removed as pure liquid water. Both gas and liquid phase streams leave the condenser at 30°C. Nitrogen (N₂) gas leave the condenser at the rate of 5.18 mol/s. (a) Draw and label a flowchart of the process. (4 marks) 1 (b) Solve the total flow rate of the feed stream and both streams leaving the condenser. (c) Taking [N₂ (g, 30°C), O2 (g, 30°C), and H₂O (g, 30°C)] as reference for enthalpy calculations, prepare and fill in the inlet-outlet enthalpy table and calculate the heat transferred to or from the condenser in kilowatts (Neglect the effects of pressure changes on enthalpies)

Answers

(a) Flowchart: A condenser process flowchart is provided, illustrating the inputs and outputs of the humid air stream, O₂, N₂, and the condensed liquid water. (b) Total flow rate: The total flow rate of the feed stream entering the condenser is 5.296F mol/s, considering the flow rates of water vapor, O₂, and N₂. (c) Enthalpy and heat transfer: The enthalpy changes for water vapor and O₂ are calculated, resulting in a heat transfer of -0.072 kF kW, indicating heat removal by the condenser. the heat transferred by the condenser is -0.072 kF kW.

(a) Flowchart:

(b) Total flow rate of the feed stream:

The flow rate of N2 leaving the condenser is given as 5.18 mol/s.

The flow rate of water vapor entering the condenser is 58.0 mol% of F.

80% of the above water vapor is condensed and removed, leaving 20% remaining.

So, 20% of the above water vapor remaining in the humid air after condensation is 0.116F mol/s.

The flow rate of O2 is given as 8.8 mol% of F.

The total flow rate of the feed stream is the sum of the flow rates of water vapor, O2, and N2:

Total flow rate = Flow rate of water vapor + Flow rate of O2 + Flow rate of N2

              = 0.116F + 0.088F + 5.18

              = 5.296F mol/s

(c) Inlet-Outlet Enthalpy Table:

To calculate the heat transferred by the condenser, we need to determine the enthalpy changes for water vapor (H3 to H4) and O2 (H5).

The enthalpy change for water vapor can be calculated as:

ΔH_vap = Enthalpy of water vapor at 30°C - Enthalpy of water vapor at 150°C

      = [40.657 + 0.119 × (30 - 0)] - [40.657 + 0.119 × (150 - 0)]

      = -13.607 kJ/kmol

Enthalpy of water leaving the condenser (H4) can be calculated as:

H4 = Enthalpy of water vapor at 30°C = 40.657 kJ/kmol

Enthalpy of O2 leaving the condenser (H5) can be taken as:

H5 = Enthalpy of O2 at 30°C = 0.102 kJ/kmol

The heat transferred by the condenser (q) can be calculated as:

q = Total flow rate × ΔH

 = (5.296F mol/s) × (-13.607 kJ/kmol) × 10⁻³ kW/J

 = -0.072 kF kW (where kF is the constant conversion factor 10⁶)

Therefore, the heat transferred by the condenser is -0.072 kF kW.

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Paragraph Styles Question 4 A condenser is used to condense substances from gaseous to liquid state,
Paragraph Styles Question 4 A condenser is used to condense substances from gaseous to liquid state,

Two inflated balloons are of identical size and shape, but one is filled with hydrogen, the other helium. Which has the larger buoyant force on it?

Answers

Buoyancy is the upward force wielded on an object that's wholly or incompletely immersed in a liquid. Also, the buoyancy forces of the two balloons don't have to be the same

Buoyancy doesn't depend on the substance present in the body. thus, both balloons will witness the same lift forces.

balloons float because the air pushes them. But the air does not know what is in the ball.

presses on everything unevenly, so the buoyant force is the same for all balloons of the same size. where ρ is the thickness of the air, g is the acceleration due to graveness, and V is the volume of the balloon.

Buoyancy or buoyancy is the upward force wielded by a liquid opposing the weight of a incompletely or completely submerged object. In a column of liquid, the pressure increases with depth due to the weight of the liquid over.

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Please answer!

Ocean waves are hitting the seashore at a rate of 15 Hz. The distance between two successive crests is 3 m. Calculate the speed of the ocean waves. (note: crest/s = 1 Hz)​

Answers

\( \sf \nu \: = \lambda \times \upsilon\)

λ = Wavelength [Given = 3 m]υ = Frequency [Given = 15 Hz]ν = Speed [To find]

\( \sf \nu = 3 \times 15\)

\( \sf \nu \: = 45 \: m/s\)

The speed of ocean waves is 45 m/s...~

A sound wave has a frequency of 1.5 Hz while traveling at a speed of 50 m/s. What is the wavelength?

Answers

Answer:

33.3m

Explanation:

Recall that for a regular wave, the relationship between, wavelength, frequency  and velocity (speed) is given by :

v = fλ,

where:

v = velocity (speed) of the wave = 50m/s

f = frequency of the wave = 1.5 Hz

λ = wavelength (we are asked to find this)

simply substitute the given values into the equation:

v = fλ

50 = 1.5 λ,

λ = 50/1.5

λ = 33.3m

According to the metric system, 1 ________ = 1,000,000 g.

Answers

According to the metric system, 1 metric ton (also known as a tonne) = 1,000,000 grams.  In the United States and some other countries, a ton is often used to refer to a unit of weight.

The metric system is a system of measurement used in most of the world that is based on the International System of Units (SI). The SI unit for mass is the kilogram (kg), which is defined as the mass of a specific cylinder of platinum-iridium alloy kept at the International Bureau of Weights and Measures in France.

The metric ton, also known as the tonne, is a unit of bin the metric system that is equal to 1,000 kilograms. This unit is commonly used to measure large masses of objects such as vehicles, cargo, and building materials.

Since 1 kilogram is equal to 1,000 grams, 1 metric ton is equal to 1,000 x 1,000 = 1,000,000 grams. This means that if you have a mass of 1,000,000 grams, you have a mass of 1 metric ton. Similarly, if you have a mass of 2,000,000 grams, you have a mass of 2 metric tons, and so on.

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Two uniform bars of the same dimensions are constructed from the same material. One bar has five evenly spaced holes through it and the second bar has only two holes. In these cases, the bars are slid over vertical pegs and rest on a horizontal surface, where friction between the bar and the surface is negligible. The two bars are each pulled by

horizontal forces of equal magnitude F from their right end as shown above. The bars' resulting angular accelerations are recorded.


Is the magnitude of the initial angular acceleration of the bar in case 1 larger than, smaller than or equal to the magnitude of the initial angular acceleration of the bar in Case 2? Explain your reasoning.

Answers

Solution :

The angular acceleration, \($\alpha$\) is obtained from the equation of the \($\text{Newton's second law}$\) of rotational motion,

Thus,

\($\tau = F \times d$\)

or \($\tau = I \times \alpha$\)

where \($\tau$\) is torque, F is force, d is moment arm distance, I is the moment of inertia

Thus, \($\alpha=\frac{(F\times d)}{I}$\)

Now if the force and the moment arm distance are constant, then the \(\text{angular acceleration is inversely proportional to the moment of inertia.}\)

That is when, F = d = constant, then  \($\alpha \propto \frac{1}{I}$\) .

Thus, moment of inertia, I is proportional to mass of the bar.

The mass is less for the bar in case (1) in comparison with that with the bar in case (2) due to the holes that is made in the bar.

Therefore, the bar in case (1), has less moment of inertia and a greater angular acceleration.

Two uniform bars of the same dimensions are constructed from the same material. One bar has five evenly

a 380 kg piano slides 2.9 m down a 25 degree incline and is kept from acceleration by a man who is pushing back on it parallel to the incline. determine:

Answers

The force of the man when the piano sides down is 1575N.

What is acceleration?

The rate of change in velocity is defined as acceleration. This entails a change in speed and direction. When only a change in speed is involved in acceleration: Positive acceleration occurs when an object accelerates. When an object slows down, it experiences negative acceleration. Acceleration is defined as a change in velocity over time.

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.

Any process in which the velocity changes is referred to as acceleration.

Since the man prevents the piano from accelerating, the force he exerts on it must be equal and opposite to the force of gravity.

Force of the man would be:

m*g*Sin[25 Degrees]:

= 380 * 9.818 * sin 25

= 1575 N

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Complete question

A 380 kg piano slides 2.9 m down a 25 degree incline and is kept from acceleration by a man who is pushing back on it parallel to the incline. determine the force of the man.

What is another example of radiation
(A) Warm air rising
(B) Heat from an old-fashioned radiator
(C) Batteries
(D) Touching a stove and burring your hand

Answers

Batteries are another example of radiation

A 1,725 kg car accelerates from 3.0 m/s for 4.4 s and reaches a velocity of 12.0 m/s. Ignoring friction, what is the applied force from the engine?

Answers

Given:

The mass of the car is m = 1725 kg

The initial velocity of the car is

\(v_i=\text{ 3 m/s}\)

The final velocity of the car is

\(v_f=\text{ 12 m/s}\)

The time is t = 4.4 s

To find the applied force.

Explanation:

The force can be calculated by the formula

\(F=\text{ ma}\)

Here, a is the acceleration.

The acceleration can be calculated as

\(\begin{gathered} a=\frac{v_f-v_i}{t} \\ =\frac{12-3}{4.4} \\ =2.045\text{ m/s}^2 \end{gathered}\)

On substituting the values, the force applied will be

\(\begin{gathered} F=ma \\ =1725\times2.045 \\ =3527.625\text{ N} \end{gathered}\)

Thus, the applied force is 3527.625 N

the secondary atmosphere of the earth was composed mainly of

Answers

Carbon dioxide and nitrogen

what kind of rock requires heat and preasure to form

Answers

5.
If a bicycle and a massive truck have a head-on collision, upon which vehicle is the impact force
greater?
Which vehicle undergoes the greater change in acceleration?

Answers

Answer:

the bike will probly  go flying and the truck will go to a stop and the truck will  not flyover the bike bc the truck is heavier

Explanation:

The impact force and the change in acceleration of cycle will be greater.

We have a situation of head on collision between a bicycle and a massive truck.

We have to -

compare the impact forces of the vehiclescompare the change in acceleration of vehicles

What is head - on collision ?

A head-on collision is a traffic collision where the front ends of two vehicles such as cars, trains, ships or planes hit each other when travelling in opposite directions.

According to the question -

Suppose that both the cycle and truck are moving with the same velocity v m/s.

PART - A

The difference between the mass of the cycle and truck is very large.

This means that the momentum of both cycle (c) and truck (t) will be -

p(t) >> p(c)

Hence, the impact force on the cycle is very very high.

PART - B

Since, the impact force on cycle is very high therefore the change in acceleration of cycle will be greater.

Hence, the impact force and the change in acceleration of cycle will be greater.

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A rubber duck sat is floating on the surface
on the water. 10N of weight is acting
DOWNWARDS on the water. What other
force must be acting to allow the duck to
float?

Answers

The other force that must be acting on the duck is upthrust of 10 N.

The given parameters;

weight of the rubber duck, W = 10 N

When the weight of the object is equal to the upthrust, the apparent weight will be zero and the object will float in the liquid. This is known as principle of floatation.

Since the given weight of the rubber duck is 10 N, then the upthrust on the duck will be 10 N to enable the duck float on the water.

Thus, the other force acting on the duck is upthrust of 10 N.

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The Earth moves in a nearly perfect circle around the Sun. Assume the speed stays
constant. Is Earth accelerating?

Answers

Answer:

yes

Explanation:yes

Answer:

Yes

Explanation:

Earth is accelerated around the sun

Calculate the initial oil-in-place (N) of a volumetric oil reservoir if:
A=1,600 acres, h=32 ft, Ø = 22%, Si = 20%, B= 1.23 bbISTB
Calculate the initial gas-in-place of a volumetric gas reservoir if:
A=1,320 acres, h=45 ft, Ø = 17.5%, Sw = 23%, By = 0.004276 cuft/SCF

Answers

The initial oil-in-place (N) of a volumetric oil reservoir is a critical parameter used to estimate the total amount of oil that can be recovered from the reservoir. It represents the total volume of oil contained within the reservoir at the beginning of its production life.

The initial gas-in-place (G) of a volumetric gas reservoir is a critical parameter used to estimate the total amount of gas that can be recovered from the reservoir. It represents the total volume of gas contained within the reservoir at the beginning of its production life.To calculate the initial oil-in-place and gas-in-place, we need to use certain parameters such as the area of the reservoir, the thickness of the reservoir, the porosity of the reservoir, the initial oil or water saturation, and the formation volume factor. The formulas used to calculate the initial oil-in-place and gas-in-place are different, and the parameters used in each formula are specific to either an oil or gas reservoir.

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A train stops at two stations A and B. It accelerates from rest from station A to a speed of 144 km h^-1 in 3 minutes and maintains this speed for 10 minutes. It then decelerates for 2 minutes and comes to rest at station B. Find the total distance between A and B.

Show work please, really need the help.

A train stops at two stations A and B. It accelerates from rest from station A to a speed of 144 km h^-1

Answers

Answer:

The total distance between A and B is 30 km

Explanation:

The given information are;

The time duration of the acceleration of the train from station A = 3 minutes = 0.05 hours

The speed attained by the train after the acceleration = 144 km/h

The time duration the train maintains the speed = 10 minutes = 0.1\(\bar 6\) hours

The time duration in which the train decelerates to station B = 2 minutes = 0.0\(\bar 3\) hours

The equation of motion required are;

The initial acceleration, a = (144 - 0)/0.05 = 2,880 km/h²

The distance covered, s = u·t + 1/2·a·t²

Where;

u The initial velocity = 0

∴ s₁ = 0 × 0.05 + 1/2 × 2880 × 0.05² = 3.6 km

s₁ = 3.6 km

The distance, s₂ the train covers at the constant speed 144 km/h for 10 minutes (1/6 hours) is given as follows;

s₂ = Velocity Time = 144 × 1/6 = 24 km

s₂ = 24 km

The deceleration, a₂ that brings the train to a stop in 2 minutes (1/30 hours) is given as follows;

a₂ = (0 - 144)/(1/30) = -4320 km/h²

The distance covered, s₃ by the train as it decelerates to rest from the initial constant speed is given as follows;

s₃ = u·t + 1/2·a·t²

Where;

u = The initial velocity =144 km/h

We have;

s₃ = 144×1/30 - 1/2 × 4320 × (1/30)² = 2.4

s₃ = 2.4 km

The total distance between A and B, s = s₁ + s₂ + s₃ = 3.6 + 24 + 2.4 = 30 km

The total distance between A and B = 30 km.

What type of Energy is an egg that's about to fall out of a nest*

Answers

Answer: Prior to the drop, an elevated egg has a large amount of gravitational potential energy due to its height above the ground. When it is dropped, that the energy is transferred from potential to kinetic.
The answer is potential energy.

The first spacecraft which did not merely fly bya jovian (or giant) planet, but actually went into orbit around it for an extended period of time was
a. Galileo
b. Einstein
c. Voyager
d. the Hubble Space Telescope
e. Cassini

Answers

Answer:The first spacecraft which did not merely fly by a jovian (or giant) planet, but actually went into orbit around it for an extended period of time was option a, Galileo. The Galileo spacecraft was launched in 1989 and orbited Jupiter for almost eight years, from 1995 to 2003.

Explanation:

Which of the following is an example of a chemical property? Density Solubility Flammability Magnetism

Answers

Answer:

Flammability.

Explanation:

I took the test.

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