The new pressure in the tank is approximate: 11.8 atm
The pressure and temperature of a gas are related by the ideal gas law, which states that PV = NRT, where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant, and T is the temperature in kelvins.
We can use the ideal gas law to calculate the new pressure in the tank after half the gas is withdrawn and the temperature is raised to 65°C. First, we need to convert the temperature from degrees Celsius to kelvins by adding 273.15.
65C = 338.15K
If we assume that the volume of the tank does not change, we can assume the amount of moles of the gas inside is also constant.
So, the new pressure will be:
P1V1/T1 = P2V2/T2
Where P1, V1, and T1 are the initial pressure, volume, and temperature, and P2, V2, and T2 are the final pressure, volume, and temperature.
As half the gas is withdrawn, the final volume is half of the initial volume so:
V2 = 0.5*V1
And by plugging in the known values we get:
P1 = (10atm) = (10*101325 Pa)
V1 = Constant
T1 = (15C + 273.15) = 288.15K
T2 = 338.15K
P2 = (P1V1/T1) * (T2/V2) = (10101325* V1/ 288.15) * (338.15/0.5*V1)
So the new pressure in the tank would be approximately: 11.8 atm
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According to the law of conservation, both energy and matter are in natural systems. Earth as a whole is a system, in which energy and matter can move from one subsystem to another. As energy and matter are transferred between subsystems, different forms of matter and energy interact. For example, during photosynthesis, carbon is transferred from the into the biosphere, while radiant energy from is being converted into chemical energy. During this process, the amount of carbon remains constant, but some of the radiant energy is transformed into energy.
According to the law of conservation, both energy and matter are conserved in the natural system. Earth as a whole is a closed system, in which energy and matter can move from one sub-system to another.
As energy and matter are transferred between subsystems, different forms of matter and energy interact. For example, during photosynthesis, carbon is transferred from the atmosphere into the biosphere, while radiant energy from the sun is converted into chemical energy.
During this process, the amount of carbon remains constant, but some of the radiant energy is transformed into electrical energy.
Understanding the Law of Conservation of EnergyBasically, the law of the conservation of energy is one of the laws of Physics which states that energy is eternal, aka eternal, so it can't change all the time, and has the same value both before something happens and after it happens. Well, the existence of this energy can also be changed in form with a magnitude that will always be the same. In this law of conservation of energy, the energy in question is kinetic energy, potential energy, mechanical energy, and others.
The law of the conservation of energy was discovered by a British physicist, James Prescott Joule, which reads: "Energy can neither be created nor destroyed, but can be transferred from one form to another….". That is, an energy involved in chemical and physical processes can experience transfer or change of form.
Example: radiant energy can be converted into heat energy, potential energy can be converted into electrical energy, chemical energy can be converted into electrical energy.
Apart from being eternal or eternal, the existence of energy has several properties, namely:
Energy transformation, meaning that energy can be converted into other forms. Energy transfer, meaning that heat energy can be transferred from one material to another. Energy can be transferred to other objects, especially through a force that causes a shift, that is what is called mechanical energy. Energy is eternal, but cannot be created or destroyed.Learn more about law of conservation at https://brainly.com/question/24131537.
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Answer:
hope this helps
Explanation:
What is the maximum number of cells you can select for the set objective variable in the solver parameters dialog box?.
The defined objective variable can only have one cell selected by the user. Another of the three key parameters when attempting to use the Excel solvers program is the set target variable cell.
What is a scientific variable?Anything that may vary or be altered is a variable. To put it another way, it refers to any variable that can be altered, taken into account, or determined during an experiment. Different kinds of variables are used in experiments. A quantity which value can fluctuate is said to be a variable.
How can one recognize variables?When doing an investigation, the explanatory variables is what you alter, and the response variable that's what occurs as a result of that change. This is an excellent route to conceive of variable.
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3. Three concurrent forces are applied to keep 160 N weight in equilibrium. Two of the forces are given F₁=(-2î-24ĵ+11k)N and F2=(13î+15j+85k)N. Assuming that the force of gravity is along the z-axis, determine the components of the third force.
The 3rd force is (-11 I + 9 j + 64 k) Newton, according to the information given in the question.
Describe a force.A pull or push from which an object experiences as a result of interacting with another item is known as a force. whenever two items engage with one another. Force is used to describe a body's tendency to change or alter its state as a result of an external cause. When force is applied, the object can also alter its size, shape, and direction. kicking a ball, pushing and pulling on the door, or kneading dough are a few examples.
Because the weight is in equilibrium, hence sum of total forces must be equal to 160 N.
Therefore,
F1 + F2 + F3 = 160
(-2î-24ĵ+11k) + (13î+15j+85k) + F3 = 160 k
(Since force of gravity is along the z-axis)
11 i - 9 j + 96 k + F3 = 160 k
F3 = (-11 i + 9 j + 64 k) N.
Components of third force are -
11 Newton along X-axis
9 Newton along Y-axis
64 Newton along Z-axis
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how did the continent shape help in deciding where to place the continents
Answer:
Pangea is a supercontinent(one giant landmass) that existed around 300-200 years ago and was discovered by Alex Wegener. Take some time to research Pangea to understand the reasoning behind it.
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a 40 kg child sits in a swing supported by 2 chains, each 3 m long. if the tension in each chain at thee lowest point is 300 N, find the child's speed at the lowest point
We first draw a force diagram that shows the forces acting on the child-seat system and apply Newton's second law to solve the problem. The child's path is an arc of a circle, since the top ends of the chains are fixed. Then at the lowest point the child's motion is changing in direction: He moves with centripetal acceleration even as his speed is not changing and his tangentialacceleration is zero.
Below figure shows that the only forces acting on the system of child + seat are the tensions in the two chains and the weight ofthe boy:∑F=Fnet=2T−mg=ma= mv²/r
With:
Fnet =2T−mg=2(300N)−(40.0kg)(9.80m/s² )=208N
solving for v gives,
[tex]v = \sqrt{ \frac{f \:net.r}{m} } = \sqrt{ \frac{208.3}{40} } = 3.95 \frac{m}{s} [/tex]
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An 8cm object is placed 17cm in front of the convex mirror Focal length of 15 cm. Describe the image of the object
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If you have any query, feel free to ask.
How much charge is contained in 1 nm of dna? a. 2qe b. 6.67q c. 0.3 qe d. 1.6 x10^19
1 nm of DNA contain 2qe charge.
DNA is a very charged molecule, with a fundamental charge density of around 2qe per 0.3 × 10−9 m. The two strands that make up the DNA structure are separated by a space of roughly 1 nm, whereas the space between the individual atoms in each base is roughly 0.3 nm.
The letters A, C, G, and T stand for adenine, cytosine, guanine, and thymine, the four nucleotide bases (thymine). Each strand has a different arrangement of the four bases, but the pairing of bases is constant. In order to maintain the order of bases during cell division (mitosis) and transmit the correct genetic information, C and G and A and T are always coupled.
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A process in which heat is neither added nor removed, and some sensible heat converts to latent heat, is ____.
Adiabatic expansion is defined as expansion in which there is no heat exchange between the system and its environment and the system uses its own energy to perform work.
What rule governs the adiabatic process?Any process in which the system neither gains nor loses heat is said to be adiabatic. With Q=0, the first law of thermodynamics demonstrates that every internal energy change takes the form of work. As a result, the heat engine process is constrained, resulting in the adiabatic situation depicted below.
Are you cooling by adiabatic expansion?The method of decreasing heat by altering air pressure as a result of volume expansion is known as adiabatic cooling. Adiabatic processes have made it possible for data centers and other facilities to adopt free cooling techniques, which control the temperature using freely available natural phenomena.
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Adiabatic expansion is a process in which heat is neither added nor removed, and some sensible heat is converted to latent heat. Adiabatic expansion is characterized as expansion.
where no heat transfer occurs between the system and its surroundings and the system uses its own energy to carry out work. It is considered to be adiabatic for a process to occur when the system neither acquires nor loses heat. Because any internal energy change manifests as work when Q=0, the first law of thermodynamics is applicable. The heat engine process becomes restricted as a result, leading to the adiabatic scenario shown below. A form of cooling called as adiabatic cooling involves changing air pressure as a result of volume expansion of mass. It is possible due to adiabatic processes.
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What is the vertical component of a 64 N force directed 53° above the horizontal?
Answer:
51.1 N
Explanation:
Fy = (64 N)(sin53) = 51.1 N
A 1,200-kilogram car traveling at 10. meters per second hits a tree and is brought to rest in 0.10 second. What is the magnitude of the average force acting on the car to bring it to rest? angle of 15.0° above the horizontal. What are the horizontal (vx) and vertical (vy) components of this velocity? the law of universal gravitation?
(a) The magnitude of the average force acting on the car to bring it to rest is 120,000 N.
(b) The horizontal (vx) and vertical (vy) components of this velocity is 9.66 m/s and 2.59 m/s respectively.
What is the average force acting on the car?
The magnitude of the force acting on the car is calculated as follows;
F = mv / t
where;
m is the mass of the carv is the speed of the cart is the time of motion of the carF = ( 1200 kg x 10 m/s ) / ( 0.1 s )
F = 120,000 N
The horizontal and vertical component of the velocity of the car is calculated as follows;
Vx = V cosθ
Vy = V sinθ
where;
θ is the direction of the speedVx = 10 m/s x cos (15) = 9.66 m/s
Vy = 10 m/s x sin (15) = 2.59 m/s
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The rod is supported by a ball-and-socket joint A and cables BC and BD Suppose that F = 950 N . (Figure 1) Determine the x, y, and z components of reaction at A necessary for equilibrium of the rod using scalar notation. Determine the tension in the cable BC necessary for equilibrium of the rod. Determine the tension in the cable BD necessary for equilibrium of the rod.
a) The x, y, and z components of reaction at A necessary for equilibrium of the rod are Aₓ = 950 N, Ay = 0, Az = 950 N
b) The tension in the cable BC and BD are T BC = T BD = 554.17 N.
For the force along BC, we have,
r bar BC = OC - OB = <0, -2, 3> - <6, 0,0> = -6 i - 2 j + 3 k
r^ BC = r bar BC / r BC = (-6 i - 2 j + 3 k)/7
T bar BC = T BC r^ BC = (T BC/7) × (-6 i - 2 j + 3 k)
r bar BD = OD - OB = <0, 2, 3> - <6, 0,0> = -6 i + 2 j + 3 k
r^ BD = r bar BD / r BC = (-6 i + 2 j + 3 k)/7
T bar BD = T BD r^ BD = (T Bd/7) × (-6 i + 2 j + 3 k)
Vertically downward force F bar = -F k^ = -950 k^
The condition for translational equilibrium is:
Σ F bar k^ = 0
Σ F k,x = 0
Σ F k,y = 0
Σ F k,z = 0
Then,
Aₓ - 6T BC/7 - 6T BD/7 = 0 ----(1)
A y - 2T BC/7 + 2 T BD /7 = 0 ----(2)
Az - 3 T BC/7 + 3 T BD/7 -950 = 0 ---(3)
"For rotational equilibrium we have the sum of torques about the origin O."
τ bar BC = OB bar × T bar BC
= det [ i j k, 6 0 0, -6 -2 3] = T BC/7 ( i (0) - j (18) + k(-12)) = T BC/7 ( -18 j - 12 k)
τ bar BD = OB bar × T bar BD
= det [ i j k, 6 0 0, -6 2 3] = T BD/7 ( i (0) - j (18) + k(12)) = T BD/7 ( -18 j + 12 k)
The condition for translational equilibrium about the origin is:
Note that the torque of the reaction force about the origin is zero.
Σ τ bar O = 0
τ bar BC + τ bar BD + τ bar F = 0
T BC/7 ( -18 j - 12 k) + T BD/7 ( -18 j + 12 k) + 3 F j= 0
T BC/7( -18) + T BD/7 ( -18) + 3F = 0
T BC/7( -12) + T BD/7 ( 12) = 0
18T BC/7 + 18T BD/7 = 3F ----(4)
-12 T BC/7 + 12 T BD/7 = 0 ----(5)
From the above equations, we have,
T BC = 21 F/36 = 21(950)/36 = 554.17 N
T BC = T BD = 554.17 N
So, we get Aₓ = 950 N
Ay = 0
Az = 950 N
The given question is incomplete. The complete question contains a diagram which is given in the attachment below.
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3
Introduction to the Physical Sciences: Mastery Test
Drag each tile to the correct box.
A student writes down several steps of the scientific method. Put the steps in the best order.
Analyze the experimental data.
Make a hypothesis.
Conduct an experiment.
Communicate the results.
The Correct Sequence is:
Make a hypothesis.Conduct an experiment.Analyze the experimental data.Communicate the results.What is the Scientific method?
The scientific method is the approach that scientists use to understand, answer, and explain natural phenomena and events.
The method follows a series of steps that begin with observation, asking questions, conducting background research, and leading to the formation of hypotheses that deny the possibility of explaining the phenomenon to its limits.
Explanation:
Hypotheses are then tested by experiments, and results can be provided to prove or disprove the hypothesis. Results are analyzed and conclusions are drawn based on them. After analyzing the results needs to published and communicated.
Hence, the following is the correct sequence.
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A student writes down several steps of the scientific method , the correct order of steps are discussed below
The proper order is:
1.Make a hypothesis.
2.Conduct an experiment.
3.Analyze the experimental data.
4.Communicate the results.
Experiments are used to test hypotheses, and the results can either support or refute the hypothesis. On the basis of the results, conclusions are drawn. The results must be published and communicated after they have been analyzed.
Therefore, the order that follows is correct.
How does the scientific method work?
Scientists use the scientific method to comprehend, respond to, and explain natural phenomena and events. The method involves observing the phenomenon, asking questions, conducting background research, and coming up with hypotheses that deny the possibility of fully explaining it.
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According to this passage, what is the safest speed to drive? a speed based on the posted limit a speed based on the road conditions a speed based on the driver's experience a speed much lower than the posted limit.
The safest driving speed on a rural roadway is 55 mph when there is no posted speed limit on the interstate. On residential roads, nevertheless, a safe speed is between 10 and 25 mph. The listed speed limit is the quickest speed to drive at.
What is the normal speed for driving?Average Driving Speed is calculated by dividing the total distance travelled during the test cycle by the whole test cycle duration, ignoring any moments when the vehicle is moving at a standstill (i.e., idles or is otherwise at rest).
The main goal of speed restrictions is to increase safety by lowering the hazards brought on by drivers' speed decisions. The goal is to lessen speed differences and the likelihood of vehicle collisions.
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a blizzard is when visability is reduced to ____ and winds are ____ or more for more than 3 hours.
Blizzards are defined as snowstorms with winds greater than 35 miles per hour (16 m/s) and limited visibility of the less than 0.25 mile (400 m) for three hours or longer.
What percentage of units are AP courses?Every AP exam with such a score of four or 5 earns the student 4 trimester units of optional credit from USC.Any 2 or four-year institution requires exams before students can enroll.
Are there classrooms at AP College Board?A College Boards professional account is required to access AP Classroom.You must also completed your AP Program Audit form and submitted it to your administration if you are a first-time AP teacher.
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What are the 10 uses of concave mirrors?
Uses for concave mirrors. used in mirrors for shaving. Ophthalmoscope Uses of Concave Mirror. Concave mirror applications in astronomical telescopes. Headlights employ concave mirrors.
What applications do concave mirrors have?Spotlights, grooming mirrors, dental shiny surfaces, satellite dishes, and other devices all make use of concave mirrors. The concave mirrors have the ability to collimate and concentrate light rays. In headlights and torches, concave mirrors are utilized as a reflected light reflector.
So what were the 10 applications for convex and concave lenses?Concave lenses can also be used in a variety of items, such as spy holes in doors, glasses, some telescopes, overhead projectors, cameras, focus sunlight, simple telescopes, projector microscopes, and magnifying glasses.
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a telescope with an 8-inch mirror will collect twice as much light as one with a 4-inch mirror.
The given statement is false because a telescope having an 8-inch mirror will collect four times as much light as a telescope having a 4-inch mirror.
A telescope is a tool that is used by astronomers to see faraway objects and items. Telescopes operate by using curved mirrors to obtain and focus light from the night sky. To put it simply, telescopes are tools that gather and magnify light from distant objects.
A telescope with an 8-inch mirror size is capable of gathering about 4 times as much light as a telescope with a 4-inch mirror. That is why the given statement is stated as false.
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Yellow-orange, red-orange, and yellow- green are examples of A. Intermediate or Tertiary colors. B. Secondary colors C. Primary colors D. Triadic colors.
Due to the fact that they are compound nature, primary and secondary colors are combined to create tertiary or intermediate hues. Yellow-green, red-orange, yellow-green, orange, blue-green, and blue-violet.
What is an illustration of an intermediate hue?Red-orange, yellow-orange, blue-green, violet, and yellow-green are examples of intermediate hues. contrasting hues on the color wheel, such as yellow and violet, blue and orange, and red and green. Contrasting colors.
What exactly are triadic colors?One dominant hue dominates a normally balanced triadic color scheme, with the other two equally spaced colors both acting as accents. Regardless of which specific colors are used, triadic colors stand out from one another and create a dynamic, energetic color palette.
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what is the displacement between the interval 0-4s
Answer:
120 meters
Explanation:
To find the displacement in the velocity-time graph, we can do that by finding the area under the graph. Since from t = 0 to 4, the points form a right triangle, we can find the area by using triangle area formula:
[tex] \displaystyle{A = \dfrac{1}{2} \times b \times h}[/tex]
We know that base is 4 and height is 60. Therefore:
[tex] \displaystyle{A = \dfrac{1}{2} \times 4\times 60} \\ \\ \displaystyle{A = 2\times 60} \\ \\ \displaystyle{A = 120}[/tex]
Since area is 120 under the graph then that means the displacement is 120 meters.
An object of mass m is attached to an object of mass 2m by a rigid bar of negligible mass and length L. Initially the smaller object is located at rest directly above the larger object. How much work must be done to flip the rod 180° so that the larger object is at rest directly above the smaller object?
To flip the rod 180°, work must be done against both gravity and the frictional force between the objects.
How much work must be done to flip the rod 180° so that the larger object is at rest directly above the smaller object?Assuming that the system is in a uniform gravitational field, the amount of work done to flip the rod 180° is equal to the change in gravitational potential energy, which is equal to the negative of the product of the masses and the gravitational constant times the distance between them (L):Work = -m x 2m x G x L
= -2 GmL^2
The work done by gravity will be the same in both positions (neglecting air resistance), so that must be subtracted. The work done against friction depends on the magnitude of the frictional force and the distance between the two objects.Initially, the distance is zero and the frictional force is equal to the static coefficient of friction multiplied by the normal force between the objects. When the rod is flipped 180°, the frictional force is still equal to the static coefficient of friction multiplied by the normal force, but the distance between the objects has increased to L.This means that the total work done to flip the rod 180° is equal to the static coefficient of friction multiplied by the normal force between the objects multiplied by the length of the rod, L.To learn more about gravitational potential energy refer to:
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A combined circuit has two resistors in series (27.5 ohms and 33.0 ohms) and another in parallel (22.0 ohms). If the power source is 9.0 volts, what will the current be
The current voltage in the circuit would be 44.12 ampere.
The following equation can be used to determine the current voltage:
V = I x R
Where V refers for Voltage, and the voltage in these data is 9 volts, I in the formula represents current voltage, which we will compute later, and R is for resistance. To calculate the resistance of the series combination, all we need to do is put the two resistors together, which gives us a result of 60.5 ohm (27.5 + 33). The next step is to locate the point of resistance in the parallel combination:
[tex]\frac{1}{R} = \frac{1}{R1} + \frac{1}{R2}[/tex]
= 1/6.5 + 1/20
= 0.204 ohm
We can use the data to calculate the current voltage using the formula I = V/R, which comes out to 9 volts divided by 0.204 ohm. As a result, the voltage of the current, denoted by I, is equal to 44.12 ampere.
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3
An egg is thrown upward with an initial speed of 4 m/s. After 6
seconds, the egg's velocity is m/s
Answer:
-56 m/s
Explanation:
The projectile motion of velocity can be modelled as:
[tex] \displaystyle{v = u + gt}[/tex]
u is initial velocity which is given in the problem (4 m/s), t is time which is also already given in the problem (6 seconds) and g is a constant of acceleration due to gravity (9.8 m/s²)
However, since the egg is thrown upward which is against the gravity direction, the sign of direction must be negative. Hence, g = - 9.8 m/s²
[tex] \displaystyle{v = 4 - 9.8 \times 6} \\ \\ \displaystyle{v = 4 - 60} \\ \\ \displaystyle{v = - 56 \: \text{m/s}}[/tex]
A surface has a work function 1. 70 ev and has light of wavelength 400 nm shone on it. What is the kinetic energy of the photoelectrons emitted?.
The kinetic energy of the photoelectrons emitted is calculated as 2.23 *10^-19 J .
What is meant by photoelectron?Photoelectrons are the electrons which are produced when energetic photon of radiation strikes a molecule. Photoelectron is an electron ejected from atom, molecule, or solid by an incident photon.
In terms of behavior and properties, photoelectrons are no different from other electrons.
E= h c/λ
= 6.6 *10^-34 * 3 * 10^8/400 * 10^-9
= 4.95 *10^-19 J
Work function = 1.7 eV= 1.7 * 1.6 *10^-19
= 2.72 *10^-19 J
Hence, kinetic energy of photo electrons emitted will be;
= 4.95 *10^-19 J - 2.72 *10^-19 J
kinetic energy = 2.23 *10^-19 J
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no visible light can escape a black hole, but things such as gamma rays, x rays, and neutrinos can. true or false
It is false that gamma rays, x rays, and neutrinos can escape through the black hole because no one can do that because of the immense gravitational pull of the black hole.
No light of any kind, including X-rays, can escape from inside the event horizon of a black hole, the region beyond which there is no return. NASA's telescopes that study black holes are looking at the surrounding environments of the black holes, where there is material very close to the event horizon. we can see that the black holes are the dead stars that are made by the burst of the big star or the planet and the gravitational pull of the black hole is so much immense. by this primary information we can consider that firmly that it is false that gamma rays, x rays, and neutrinos can escape through the black hole because no one can do that because of the immense gravitational pull of the black hole.
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A person rides a Ferris wheel that turns with constant angular velocity. Her weight is 546.0 N. At the top of the ride her apparent weight is 1.500 N different from her true weight. If the angular speed of the Ferris wheel is 0.0250 rad/s, what is its radius?
The radius of the Ferris wheel is 0.5 m if its angular speed is 0.0250 rad/s.
To find the radius of the Ferris wheel, we can use the formula for the centripetal force, which is:
F = m * (ω^2) * rWhere:
F is the apparent weight differencem is the true weightω is the angular velocityr is the radiusWe can rearrange the equation to solve for r:
r = F / (m * (ω^2))Plugging in the given values:
r = (1.5 N) / (546 N * (0.0250 rad/s)^2)Solving for r:
r = 0.5 mSo the radius of the Ferris wheel is 0.5 meters.
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An Eskimo pushes a loaded sled with a mass of 300kg for a distance of 25m over the frictionless surface of hard packed snow. He exerts a constant 170 N force as he does so. If the sled starts from rest, what is its acceleration in m/s^2
The acceleration of the sled of mass 300 kg is 0.57 m/s².
What is acceleration?Acceleration is the rate of change of the velocity of a body.
To calculate the acceleration of the sled, we use the formula below.
Formula:
a = F/m............................. Equation 1Where:
a = AcccelerationF = Forcem = MassFrom the question,
Given:
F = 170 Nm = 300 kgSubstitute these values into equation 1
a = 170/300a = 0.57 m/s²Hence, the acceleration of the sled is 0.57 m/s².
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2. Which wave property measures how many wavos pass a point in one second?
Answer:frequency
Explanation:
Why was the invention of the chronometer important?
The invention of the chronometer was important because it allowed for more accurate navigation at sea.
Prior to the invention of the chronometer, navigators had to use the sun, stars, and other celestial bodies as a means of determining their location.
This was often inaccurate and could put ships in danger of getting lost at sea. The invention of the chronometer allowed for a more accurate and reliable way of keeping track of time and location, which made for safer and more efficient navigation.
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An electron is confined to a region of space of the size of an atom (0.1 nm). Use classical mechanics. a) What is the uncertainty in the momentum of the electron in units of eV/c? b) What is the kinetic energy of an electron with a momentum equal to Δp from (a)? c) Does this give a reasonable value for the kinetic energy of an electron in an atom?
a)The uncertainty in the position & momentum of a particle are related by the equation ΔxΔp ≥ h/4π and b)8.98 x 10⁻¹⁵ eV and c) he value found in (b) is much smaller, on the order of 10⁻¹⁵eV.
Which energy do you mean by kinetic?Kinetic energy is a type of electricity that is present in a particle or object in motion. When work, which entails the transmission of energy, is done on an object by applying a net force, that object acquires kinetic energy.
a) According to Heisenberg's uncertainty principle, the uncertainty in the position and momentum of a particle are related by the equation ΔxΔp ≥ h/4π, where h is the Planck constant and X represents the position's level of uncertainty.
In this case, the size of the region of space is 0.1 nm, so the uncertainty in the position of the electron is Δx = 0.1 nm.
Plugging this into the equation gives:
Δp = h/4π Δx = h/(4π(0.1 nm)) = 4.14 x 10⁻²⁴ eV/c
b) The kinetic energy of a particle is given by the equation K = (p²)/(2m), where p is the momentum and m is the mass of the particle.
Plugging in the value for Δp from (a) gives:
K = (Δp²)/(2m) = (4.14 x 10⁻²⁴ eV/c)²/(2(9.11 x 10⁻³¹ kg)) = 8.98 x 10⁻¹⁵ eV
c) The kinetic energy of an electron in an atom is typically on the order of several eV. The value found in (b) is much smaller, on the order of 10⁻¹⁵eV. This suggests that the assumption of classical mechanics is not appropriate for describing the motion of an electron in an atom, and that a more complete description using quantum mechanics is required.
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If a 64 kg person
weighs 102.4 N on
the moon, what is
the acceleration
due to gravity on
the moon?
Acceleration due to gravity on moon is 0.166 times than that on the earth.
The acceleration due to gravity on the moon is 1.6 m/s².
We know that,
weight = mass of an object × the acceleration due to planet(moon)
W = m × g
here, [tex]g_{m}[/tex]: acceleration due to gravity on the moon
102.4 N = 64kg × [tex]g_{m}[/tex]
[tex]g_{m}[/tex] = 1.6 m/s²
Therefore, the acceleration due to gravity on the moon is 1.6 m/s².
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one ____________ of natural gas is that it is ____________ than either coal or oil.
A.
Disadvantage; harder to ship and store
B.
Advantage; easier to build infrastructure for transporting it
C.
Disadvantage; harder to sell
D.
Advantage; easier to find
E.
Disadvantage; less abundant
Natural gas has the disadvantage of being more difficult to move or ship and store than coal or oil.
Benefits and considerations of natural gas. The benefits of natural gas as an alternative fuel include its domestic availability, established distribution network, relatively low cost, and emissions benefits, whether it is produced using traditional or renewable techniques. A fossil fuel energy source is natural gas.
Numerous distinct chemicals can be found in natural gas. Methane, which is a molecule with one carbon atom and four hydrogen atoms, makes up the majority of natural gas (CH4). The components of fossil fuels are decaying plants and animals. These fuels may be burned to provide energy and can be found in the crust of the Earth. An example of a fossil fuel is coal, as well as oil and natural gas.
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