The force of gravity acting on the column of water is 1,02,900 N.
Given that, height of the liquid column is 7
Area = 1.5 m²
We know that, volume of water = 1.5* 7 = 10.5 m³
10.5 m³ when converted into litres can be written as 10,500 litres
Water mass = 10,500 litres * (1kg/litre) = 10,500 kg
Force of gravity on water is nothing but weight of the water
⇒ 10,500* 9.8 = 1,02,900 N
Pressure on the bottom of the tank = 1,02,900/1.5 = 68,600 N/m² = 68,600 pascal
Thus, the force of gravity acting on the column of water is calculated to be 1,02,900 N.
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leaving everything else the same, now decrease the star size to 0.1 x radius of the sun. note the transit depth. all else being equal, is it easier to detect planets orbiting small stars or large stars with the transit method?
Keeping everything else the same, shrink the star to 0.1 times the sun's radius. This makes it simple to find planets orbiting big stars.
What are stars?
Large celestial bodies known as stars are primarily composed of hydrogen and helium and generate light and heat in their centres from churning nuclear forges. The other stars we can see in the sky are all light-years away from Earth, excluding our sun.
Because larger planets block more light and transit more frequently, making them easier to detect, this method has a bias towards finding huge planets circling near to their stars, similar to the radial velocity method. Additionally, there is a tendency to detect large planets surrounding tiny stars.
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a stone is thrown straight up from the edge of a roof, 925 feet above the ground, at a speed of 14 feet per second. a. remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 3 seconds later?
823 ft high is the stone 3 seconds later.
What is motion?
The change in the position of the object with respect to time is called motion in physics.
We know that
[tex]y=y_{0} + V_{0}-\frac{1}{2} gt^{2}[/tex]
where,
[tex]y[/tex] is the height of the stone at 3s (the value we want to find)
[tex]y_{0}[/tex] is the initial height of the stone
[tex]V_{0}[/tex] is the initial velocity of the stone
[tex]t[/tex] is the time at which we need to find the height
[tex]g[/tex] is the acceleration due to gravity
Therefore,
[tex]y = 925+(14)(3)-\frac{1}{2} (32)(3)^{2}[/tex]
= 823 ft
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a planet with a radius of 6.00 x 107 m has a gravitational field of magnitude 30.0 m/s? at the surface. what is the escape speed from the planet?
The escape speed from the planet is 60000 m/s.
Calculation:-
g=GM/R^2
ve=√2GM/R`
ve=√2(GM/R^2)R
ve=√2GR
ve=√2×30×6×10⁷
ve=60×10³m/s
The rate of change in the position of an object in any course. Speed is measured because of the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has the handiest route and no significance.
Velocity can be notion as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.
The primary unit or the S.I. unit of velocity is m/s or ms⁻¹
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two wheels, a and b, have the same shape and size, but wheel a has twice the mass of wheel b. how do the moments of inertia (around the axis of symmetry) of the two wheels compare?
The moment of inertia of wheel a will be twice the moment of inertia of wheel b. This is because the moment of inertia is proportional to the mass of an object.
What is inertia?
The concept of inertia states that an object will maintain its current motion until a force changes its speed or direction. The phrase should be understood as a shortened form of Newton's first law of motion's description of "the principle of inertia." Newton's Latin is directly translated into the word "perseveres" in this sentence. In contemporary textbooks, other, softer words like "to continue" as well as "to remain" are frequently used. The modern application results from some modifications made by Euler, d'Alembert, as well as other Cartesians to Newton's original mechanics (as noted in the Principia).
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if the charge on q1 is doubled, assuming that charge of q2 and the distance of r stay the same, what will happen to the force between the two charges? (3 points)
If the charge on q1 is doubled the force becomes 4 times its initial value.
The charge of each object has a direct impact on electrostatic force. Therefore, the force will increases if the charge of one object is doubled.
The square of the distance between the two charges has an inverse relationship with the force's size. As a result, when the gap between two charges is doubled, the attraction or repulsion weakens and drops to one-fourth of its initial strength.
Since, we know
F = (k×q1×q2)/r²
When the charges are doubled, we have :
F' = (k × 2q1 × 2q2)/r²
F' = 4 (k×q1×q2)/r²
Thus,
F' = 4F
Hence, the force becomes 4 times its initial value.
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which of the following was originally classified as a nebula? a. orion nebula b. hercules globular star cluster c. andromeda galaxy d. ring nebula e. pluto
The examples that were originally classified as a nebula are Orion nebula, Hercules globular star cluster, Andromeda galaxy, and Ring nebula; option A, B, C, and D.
What is a nebula?A nebula is a giant cloud of dust and gas that is found in space. More than one nebula is collectively called nebulae. The gases present in a nebla are usually hydrogen and helium.
Some nebulae are made from the gas and dust that are released by the explosion of a dying star, for example in a supernova.
Some other nebulae are the sites for the formation of new stars.
The four types of nebulae are:
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a 10 kilogram rock is dropped off the top of a 20 meter tall building. what is the kinetic energy of the rock right before it impacts the ground?
The kinetic energy of the rock right before it impacts the ground is 2940J.
Solution:
[tex]E_{P} = m_{gh}[/tex]
10 KG * 9.8m/s² * 30 m
[tex]E_{p}[/tex] = 2940 J
A falling ball has kinetic energy due to its motion. Therefore, the potential energy stored in the ball in its elevated position is converted into kinetic energy when the ball falls. When an object is in free fall, its potential energy is converted into kinetic energy.
When an object hits the ground its kinetic energy is converted into heat and sound energy. When an object falls, its potential energy decreases, and its kinetic energy increases. A decrease in potential energy is exactly the same as an increase in kinetic energy.
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a 30.8-kg child swings on a rope with a length of 6.29 m that is hanging from a tree. at the bottom of the swing, the child is moving at a speed of 4.2 m/s. what is the tension in the rope?
The tension in the rope at the lower part of the swing is 388.2 N.
What is the tension in the rope?The tension in the rope at the lower part of the swing is calculated by applying the following formula.
T = W + Fc
where;
W is the weight of the childFc is the centripetal force of the swingT = mg + mac
T = m (g + ac)
T = m (g + v²/r)
where;
m is the mass of the childg is acceleration due to gravityac is the centripetal accelerationr is the radius of the circular pathThe magnitude of the tension in the ropes is calculated as;
T = 30.8 (9.8 + 4.2²/6.29)
T = 388.2 N
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consider the following three statements: for any electromagnetic radiation, the product of the wavelength and the frequency is a constant. if a source of light has a wavelength of 3.0 å , its frequency is 1.0×1018 hz . the speed of ultraviolet light is greater than the speed of microwave radiation. which of these three statements is or are true?
First assertion:
The relationship between electromagnetic radiation's wave, wavelength λ, and oscillation frequency is established by the speed of light. The formula is provided by:
c=vλ
Thus, the first claim is accurate.
Second assertion:
c=vλ
c= 3.0A×1.0×10¹⁸Hz
c= 3.0×10⁻¹⁰m×1.0×10¹⁸s⁻¹
c= 3×10⁸m/s
In a vacuum, c has a value of 3×10⁸m/s. So, the second assertion is accurate.
Third assertion:
No matter the type of electromagnetic radiation, the speed is always the same.
As a result, the third claim is untrue.
What is electromagnetic radiation?
The speed of light (2.998 x 108 m/s) is the rate at which an electric and magnetic disturbance called electromagnetic radiation travels through space. It moves in radiant energy packets known as photons or quanta and is neither massless nor electrically charged.
What are the 7 types of electromagnetic radiations?
The parts of the electromagnetic spectrum are referred to as gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves, from highest to lowest energy.
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how much work must the spacecraft engines perform to move the spacecraft to a circular orbit that is 4500 km above the surface? express your answer with the appropriate units.
The amount of work that the engine of the spacecraft must do to move above the circular orbit is 1.48 x 10⁻¹⁷ mM (Joules).
What is the work done by the spacecraft?
The amount of work that the engine of the spacecraft must do to move above the circular orbit that is 4500 km above the surface is calculated by applying the following formula.
W = Fd
where;
F is the gravitational force of the spacecraftd is the displacement of the spacecraft.The gravitational force of the spacecraft is given as;
F = GmM/R²
where;
m is mass of the planet (for the circular orbit)M is the mass of the spacecraftR is the displacement of the spacecraftThe work that must be done by the spacecraft is given as;
W = FR
W = GmM/R² x R
W = GmM/R
W = (6.67 x 10⁻¹¹ x mM) / (4500000)
W = 1.48 x 10⁻¹⁷ mM (Joules)
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a 10-m uniform beam weighing 100 n is supported by two vertical ropes at its ends. if a 400-n person sits at a point 2.0 m from the left end of the beam, what is the tension in each rope?
The equations that result from this 10T1 = 3700 or T1 = 370N and T2 = 130N.
What is equation?
In a mathematical equation, the equals sign is used to express that two expressions are equal. The meanings of the word equation as well as its cognates in those other languages can vary slightly. For instance, in French, an equation is defined as having one or even more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values for the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables whereby the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions.
Assume that T1 represents the tension inside the rope closest to the 400N person, and T2 represents the tension in another rope. T1 + T2 = 500N for translational equilibrium. The clockwise and counterclockwise torques about the beam's centre must be equal for there to be rotational equilibrium: 5T1 = 5T2 + 1200. These two equations can be combined to produce the following result:
T1 + T2 = 500
5T1 = 5T2 + 1200 or
T1 + T2 = 500
5T1 - 5T2 = 1200
multiply both sides of the first equation by 5, add the resulting equations to get 10T1 = 3700 or T1 = 370N and T2 = 130N.
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what is the longest wavelength of light (in nm) for which all three metals will emit photoelectrons?
The longest wavelength at which a metal will emit an electron is 520 nm.
wavelength and frequency explanationsWave length is determined by the wavelength, which is also the separation between two wave crests and troughs. The amount of vibrations that pass through a certain region in a second is referred to as "frequency," and it is expressed in cycles per second (Hz) (Hertz). The link between wavelength and frequency is discussed in this article.
What is the wavelength?The distance between identical points (adjacent crests) in adjacent cycles determines how far a waveform signal has traveled in space or over a wire. In wireless systems, this length is frequently specified in meters (m), centimeters (cm), or millimeters (mm) (mm).
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a suitcase is hanging straight down from your hand as you ride an escalator. your hand exerts a force on the suitcase, and this force does work. this work is
The work is positive when you ride up the escalator and negative when you ride down the escalator.
What is work?
Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance traveled for a constant force directed in the same direction as the motion.
So, work done is positive when you ride up the escalator and negative when you ride down the escalator.
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suppose that the frequency f of the current in an ac circuit goes to zero (which means that the current becomes a direct current). which circuit element would not permit charge to flow in the circuit?
A capacitor, because it has the greatest reactance at frequency f = 0 Hz.
A capacitor is a device that stores electrical energy in an electric field through the accumulation of electrical charges on two nearby surfaces insulated from each other. It has two terminals and is a passive electrical component. Charges flow through the capacitor when it is supplied with electricity, but this flow is blocked by the insulation between the metal plates. Since the capacitor's electrode plates are separated by an insulator (air or dielectric), no direct current can flow unless the insulator decays. In other words, a capacitor blocks direct current. When we connect a capacitor across an AC power source, it starts charging and discharging continuously due to the continuous change in the supply voltage. Capacitors do not store charge. Capacitors actually store a charge imbalance.
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a 3.0 m long ladder leans against a frictionless wall so that the base of the ladder makes an angle of 60 degrees with the ground. what is the minimum value of , the coefficient of static friction with the ground, that prevents the ladder from slipping?
The ladder from slipping [tex]\mu=0.2886[/tex].
Solution:
If the ladder is not slipping then at point A, the net forces acting will be equal to 0
[tex]-\mu N_{1}+N_{2}=0[/tex] ( Horizontal forces)
[tex]N_{1}-mg=0[/tex] (vertical forces)
from the above two equations we get,
[tex]N_{1}=mg and N_{2}=\mu mg[/tex]
Now the torque at point A must also be 0
so,
[tex]N_{2}Lcos\theta -\frac{L}{2}mgsin\theta =0[/tex]
Putting the previously obtained values
[tex]\mu mgLcos\theta =\frac{L}{2}mgsin\theta[/tex]
L is the length of the ladder.
[tex]\mu=\frac{1}{2}\frac{sin\theta }{cos\theta}[/tex]
[tex]\mu=\frac{1}{2}tan\theta[/tex]
[tex]\mu=\frac{1}{2}tan30^{0}[/tex]
[tex]\mu=0.2886[/tex]
When the foot presses the ground the foot slides back if there is no friction. Traction pushes the foot in a direction that prevents it from slipping resulting in forward motion. To determine the minimum coefficient of static friction between two materials create an inclined plane from one of the materials and place an object of the other material on top of it. Increase the tilt angle until the body starts to slide.
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Fill in the blanks. Convert c (speed of light) from m/s to ft/min using convvel in MATLAB.
c is speed of light in m/s. cfpm is speed of light in ft/min. No space for this canvas code.
c=physconst(_____);
cfpm=convvel( _____,
The formula c=physconst(lightspeed); cfpm = convvel(c, "m/s," "ft/min") transforms the lightspeed from m/s to ft/min using the convvel function in MATLAB.
per second in milliseconds. C is a symbol for lightspeed. The definition of cfpm in feet per minute is the speed of light. The speed of light in a vacuum, a fundamental scientific constant that is frequently abbreviated as c, is significant in many fields of physics. The precise speed of light is 299,792,458 metres per second (about 300,000 kph; 186,000 mph).The multi-paradigm programming language and computer environment known as MATLAB were developed by the MathWorks corporation (short for "MATrix LABoratory"). You may work with matrices, plot functions and data, use algorithms, create user interfaces, and communicate with other programming languages with MATLAB.
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Is the following equation balanced? If the equation is not balanced, how would you balance it?
Step1). We would first try to balance C and O because it is present in compound form on RHS.
Step2). After that we will balance H
when doing a chin-uo, a student lifts her 50.0 kg body a distance of .3 meters in 2 seconds. what is the power delivered by the student's biceps?
The Power provided by the student's biceps is 7.5 J/s.
What is power?The amount of energy transferred or converted per unit time is referred to as power. The watt is the unit of power in the International System of Units, equal to one joule per second. Power is sometimes referred to as activity in older works. A scalar quantity is power.The rate at which work is completed is referred to as power. Rate means per unit of time in this context. Power is calculated by dividing the amount of work done by the amount of time it took to complete the work.Given,
Mass = 50kg
Distance = 0.3 meters
Time = 2 seconds
W = fd
P = W/(t₂ - t₁)
To find work
W = (50kg)(0.3m)
W = 15J
To find power.
P = 15J / 2 - 0
P = 15J / 2
P = 7.5 J/s
Therefor the power is 7.5J/s
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what is the speed of a point on the earth's surface located at 2/5 of the length of the arc between the equator and the pole, measured from equator? (hint: what is the radius of the circle in which the point moves?)
The speed of the given point on earth's surface is 428 m/s
Speed of point on earth's surface:A point located 1/4 of the length of the arc between the equator and the pole has an angle:
(1/4) × 90° = 22.5°
Since the arc angle of the line joining the equator and the pole is 90°
So the angle between the line joining the center and the given point, and the line joining center and the pole is Φ = 90° - 22.5° = 67.5°
Now,
Sin Φ = (radius of the point)/(radius of the earth)
Sin 67.5 = radius of the point/(6.37 × 10⁶)
Radius of the point:
r = 6.37 × 10⁶ × 0.9239 = 5.885 × 10⁶ m
Speed of the point on the globe is v = 2πr/(24 hours)
2πr = 2π × 5.885 × 10⁶ = 3.6977 × 10⁷ m
So the speed of the point is :
v = 3.6977 × 10⁷/24
v = 1.541 × 10⁶ m/h
v = 428 m/s
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does the field [that is caused by a straight wire] have an axial component? does it have a radial component?
It is demonstrated that the current carrying surface's solid angle subtended by the magnetic field for a straight wire at any location in space is directly proportional to the magnetic field along the axial direction.
What does the field that is caused by a straight wire?As long as the wire is straight and the current density is uniform, the result is valid wherever, i.e., on the axis or off-axis, for an infinite or finite wire.
In a number of unique circumstances where unexpected outcomes can be easily produced and presented, the geometrical relationship is employed.
As you move further from the wire, the field's strength diminishes, therefore you would expect the field lines' spacing to grow as well.
Therefore, With a second application of the right-hand rule, the direction of this magnetic field can be determined.
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a 50kg box is being pushed across a horizontal floor by a 100n force acting downward at a 20 degree angle from above the horizon. what is the acceleration of the box? the coefficient of friction is 0.12
The acceleration of both the box will indeed be 0.8 m/s² when the friction factor is 0.12.
What is an explain acceleration?Acceleration is the pace at which the speed and direction of a moving object change over time. Something is said to be accelerating when it commences to move quickly or slowly. Even if the voltage is constant, transportation on a circle accelerates because the angle is always shifting.
Briefing :According to the given statement we have frictional force f = µ •N
where N = normal force = mg
the given Sliding friction µ= 0.12
therefore f = 0.12 × 50 × 10 = 60 N
hence net friction = applied friction - frictional force = 100 - 60 = 40 N
also we know that Force F= ma
therefore we have acceleration formula ,
acceleration = force/mass = 40 / 50 = 0.8 m/ s²
hence the acceleration of the box is 0.8 m/s².
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while dexter is on a camping trip with his boy scout troop,the scout leader hands each boy a compass and map. the directionson dexter's map read as follows: walk 500.0 m north 200.0m east and 300.0 m south, and 400.0 m west. if he follows themap, what is dexters displacement?
The same spot he started, his displacement is 0 meters.
What is displacement?
A displacement is indeed a vector in geometry as well as mechanics that has a length equal to the shortest distance between a point P's initial and final positions. It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement. The final position xf of the a point relative towards its initial position xi, or even a relative position (resulting from of the motion), is another way to describe a displacement. The difference between both the final and initial positions can be used to define the corresponding displacement vector.
Dexter's displacement is 0 meters.
This is because the total distance traveled (500.0 m north + 200.0 m east + 300.0 m south + 400.0 m west) is 1,200.0 meters,
But the total displacement is 0 meters because he is ending up in the same place he started.
Displacement is the total distance traveled in a straight line from the starting point to the ending point.
Since Dexter is ending up in the same spot he started, his displacement is 0 meters.
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Your lab partner shows you results from an experiment with a simple machine. The output work is 10 joules and the input work is 8 joules. She asks, "Does this data look correct?" What would be your response and why?
Answer:
Work in + Work wasted = Work out
The data is probably not correct since the work produced should be less than the work input
The position vs. time graph shows how far away I am from the table while cooking breakfast. Which parts of the journey show where I am:
The velocity of an object is represented by the slope of a location graph. Thus, the slope's value at a given instant corresponds to the object's velocity at that precise moment.
What does a graph of position vs time reveal?
Position in relation to the starting point is plotted on the y-axis of a position vs. time graph, while time is plotted on the x-axis to represent motion. The gradient of a position vs. time graph serves as a representation of the velocity. The slope gets steeper as the motion changes more quickly.
Where is the time graph located?
The Position Time Graph: What Is It?
The Position-Time graph is the graph on which the time t and the instantaneous position x of a particle are shown.
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Houston, we have a problem
You are members of the crew of Earth’s first community development ship. On your way to the planet Proxima Centauri B your ship was damaged. You are not going to be able to land your ship on the planet as anticipated. You will have to take precautions when constructing your lander to arrive safely on the surface. Before you begin construction on your lander you will need to determine the gravitational acceleration between your ship and the planet.
Data:
Your spacecraft is equipped with advanced sensing equipment and you have measured the following information based on your current situation.
You are currently in a stable orbit 9 000 000 m from the center of planet Proxima Centauri B.
According to the calculations done by NASA, Planet Proxima Centauri B has a mass of approximately 6x10^24 kg.
Based on fuel consumption and expected material aboard the ship, your colony ship lander has a mass of approximately 1.1x105 kg.
1. Using Newton's Law of Universal Gravitation, determine what the force of gravity on your ship at that orbit be using the early measurements. Please show all work.
2.Using Newton’s second law determine the acceleration of your lander due to gravity. Please show your work.
3.Upon arrival, you measure the actual force of gravity to be 6x105 N,which is different from your calculated value in question 1. Identify a specific possible causes that would account for the difference in expected vs. actual values, and why they would affect the calculation.
1. The force of gravity on the ship at that orbit be using the early measurements be 5.435 × 10^5 N..
2. The acceleration of your lander due to gravity be 4.94 m/s^2..
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
Given that:
Planet Proxima Centauri B has a mass of approximately 6x10^24 kg.
colony ship lander has a mass of approximately 1.1x10^5 kg.
stable orbit radius of 9000000 m from the center of planet Proxima Centauri B.
1. Using Newton's Law of Universal Gravitation, the force of gravity on the ship at that orbit be using the early measurements = GMm/r²
= (6.67 × 10⁻¹¹)×(6x10^24)(1.1x10^5)/(9000000)² N
= 5.435 × 10^5 N.
2. the acceleration of your lander due to gravity: a = F/m
= 5.435 × 10^5 N/ 1.1x10^5 kg.
= 4.94 m/s^2.
3.The possible causes that would account for the difference in expected vs. actual values are:
mass distribution of the planet may not be uniform. So, the center of mass of the planet does not locate at the geometrical center.Path of orbiting does not circular, it may be elliptical.Learn more about force here:
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what is the pressure of the system when all the stopcocks are opened, assuming that the temperature remains constant? (we can neglect the volume of the capillary tubing connecting the bulbs.)\
The calculated pressure is 40 atm. An area of the Earth's atmosphere that has a very high or low pressure in comparison to the air surrounding it is referred to as a pressure system.
The distance between air molecules is all that is meant by the term pressure. High pressure is created when the air is compressed and tightly confined. Low pressure occurs when the air is dispersed. Boyle's law states that if T is constant, then so is the PV.
∴P \s1
V 1 + P 2 + P 3 + P 4 =P 4 V 4
P 4 stands for total pressure, and V 4 stands for total volume.
The total capacity of all the containers is now V 4 = V 1 + V 2 + V 3 = 1+1 + 0.5 = 2.5L.
Now, after plugging all the data into equation (1), we get 3001+2401+4400.5=X2.5 X= 2.5 760 =304mm, where 760mm is 1atm. The conversion from 304mm to 760 304 = 0.4 atm
Therefore, x=0.4 atm.
100x=40atm
The complete question is- Consider the arrangement of bulbs shown in the drawing. Each of three bulbs contains a gas at pressure shown. What is pressure of system when all stopcocks are opened. Assuming that temperature remain constant. (Neglect the volume of capollary tubing connecting bulbs)
A-440 torr
B-200 torr
C-360 torr
D-320 torr
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find the resistance of a portable lantern that uses a 24 v power supply and draws a current of 0.80 a.
a portable lamp with a 30 ohm resistance, 0.80 a current demand, and a 24 v power source
What portable lantern has the most light?The Super Bright LED Recharge Portable Scene Light II of Streamligh has 10,000 lumens, which is the most lumens we've found in an LED lantern.
What LED has the highest possible brightness?E39 bulb, 300 watts: The brightest bulb currently available. It has a high efficiency of 130 lumens per watt and produces over 40,000 lumens. The 1000 watt HID, HPS, Metal Halide, or CFL fixture can be replaced with this one, which also delivers 360-degree lighting.e
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a student of mass 50kg decides to go on the ride. the coefficient of static friction between the student and wall is 0.8. if the diameter of the ride is 10m, what is the maximum period of the ride's rotation that will keep the student pinned to the wall once the floor drops?
Ride's rotation that will keep the student pinned to the wall once the floor drops is 3.97 sec.
What is rotation?rotation is a type of trasfermation that takes each point in a figure and rotates its a certain number.
Mass of student = 50 kg
Coefficient of static friction \mu = 0.8 μ=0.8
Ride diameter d = 10 m d=10m
Ride radius r = \frac{d}{2} = 5 m r= 2d
=5m
Acceleration due to gravity g = 10 m/s^2 g=10m/s
2
Maximum period of ride's rotation =
Formula: \text{ Maximum period } = \500{\text{ Circumference }}{\10m/s{ Velocity }} Maximum period =
Velocity
Circumference
Step 1: Calculating the static frictional force and normal force
This frictional force will be equal to the student's weight to
find out what minimum static frictional force is required
Hence, maximum period of ride's rotation P = 3.97 P=3.97 sec
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if a harmonic oscillator were acted upon by minor dissipative forces, how would the amplitude of the oscillations change as time goes on?
The amplitude of the oscillations change as time goes on is the more rigid (or less compressible) the medium, the faster the speed of sound.
What is meant by amplitude ?In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating body or wave can move relative to its equilibrium location. It is equivalent to the vibration path's half-length.
Distance between the wave's resting position and its highest displacement is known as amplitude. The number of waves that pass by a specific location each second is known as its frequency. Period: the amount of time needed for a wave cycle to complete.
Sound waves' relative strength, which we experience as loudness or volume, is known as amplitude. Decibels (dB), which stand for sound pressure level or intensity, are used to measure amplitude.
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A scuba diver fills her lungs to capacity (6.0 L) when 10.0 m below the surface of the water and begins to ascend to the surface. Assume the density of the water in which she is swimming is 1000 kg/{eq}m^3 {/eq} and use g = 10 m/{eq}s^2 {/eq}
A. Assuming the temperature of the air in her lungs is constant, to what volume must her lungs expand when she reaches the surface of the water?
B. What effect would the warming of the air in her lungs have on the volume needed when she surfaces?
C. Assuming the temperature of the air in her lungs is constant, what effect does her ascent have on the vrms of the air molecules in her lungs?
The lungs of a scuba diver should expand to a volume of 12 L, the volume of air in her lungs will grow with an increase in surface air temperature, and the rms speed of the air velocity in her lungs won't change.
It is stated that water has a density of 1000 kg/m3. The diver's 6L lung capacity allows her to descend 10m under the sea. We may suppose that the water's temperature is constant.
A. The pressure P₁ at the surface of water is 100000 Pa.
So, the pressure at the depth of 10m in water will be given by,
P₂ = 1000x10x10 + P₁
P₂ = 100000 + P₁
P₂ = 200000 Pa
Now, we can write,
P₁V₁ = P₂V₂
Putting values,
6 x 200000 = V₂ x 100000
V₂ = 12L.
Her lungs should thus enlarge to 12L.
B. Because of the continuous pressure at the surface, the air warming will further increase the amount of air in the lungs.
C. The Vrms are provided by,
Vrms = √(3RT/M)
The Vrms won't change if the temperature stays constant since the air's mass will remain constant.
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