The correct answer is d) The anode is the cobalt electrode and the cell potential is +0.39 V. In a standard lead-cobalt cell, the anode is the cobalt electrode and the cell potential is +0.39 V.
This is because the cobalt electrode has a higher reduction potential than the lead electrode, meaning that electrons will flow from the cobalt to the lead electrode. The cell potential is the difference in the reduction potentials of the two electrodes, and since the cobalt electrode has a higher reduction potential, the cell potential is positive. The cell potential is measured in volts, and in this case it is +0.39 V.
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an f-35 stealth jet takes off from the aircraft carrier ronald reagan. starting from rest, the jet accelerated with a constant acceleration of 55.3 m/s2 along a straight line on the deck. what is the displacement of the jet when it reaches a speed of 181 m/s? a rock is dropped from a tall building. if the rock starts at rest , and the origin of the coordinate system is taken at the pinnacle of the building with positive direction taken to be upward direction, after 5.18 seconds what is the displacement of the rock? what is the velocity of the rock?
The Displacement of jet and Velocity of the rock is -133 m and -50.6 m/s.
What is Displacement?
Displacement is a measure of the volume of liquid or gas that is moved from one place to another in a given period of time. It is usually expressed in terms of liters per second (L/s). It is a measure of the rate at which a fluid or gas is being moved.
Displacement of Jet:
Displacement = Initial Velocity × Time + (1/2) × Acceleration × Time2
Displacement = 0 m/s × 10 s + (1/2) × 55.3 m/s2 × (10s)2
Displacement = 553 m
Displacement of Rock:
Displacement = Initial Velocity × Time + (1/2) × Acceleration × Time2
Displacement = 0 m/s × 5.18 s + (1/2) × (-9.81 m/s2) × (5.18s)2
Displacement = -133 m
Velocity of Rock:
Velocity = Initial Velocity + Acceleration × Time
Velocity = 0 m/s + (-9.81 m/s2) × 5.18 s
Velocity = -50.6 m/s
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calculate the mass of an iron-ore sample (in kilograms) that weighs 64.5 pounds.
The mass of the iron-ore sample is approximately 29.2054 kilograms.
To convert from pounds to kilograms, divide by 2.20462.
64.5 pounds / 2.20462 = 29.2054 kilograms
So the mass of the iron-ore sample is approximately 29.2054 kilograms.
Mass is a measure of the amount of matter contained in an object. It is defined as the amount of material that makes up an object and is usually measured in kilograms (kg) or grams (g). The mass of an object does not change with its location or the surrounding environment, and is a scalar quantity. Mass is different from weight, which is the force exerted by an object due to gravity and is dependent on the location and the gravitational pull of the object. The mass of an object can be determined by measuring its weight and knowing the acceleration due to gravity. The concept of mass is crucial in many fields, including physics, engineering, and chemistry.
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the inner and outer surface temperatures of a glass window 5 mm thick are 15 and 5ºc. what is the heat loss through a 1 m × 3 m window? the thermal conductivity of glass is 1.4 w/m.k.
The following equation may be used to determine heat loss via a glass window: Q = k * A / (T1 - T2) where Q denotes heat loss The thermal conductivity of glass.
(in W/m.K) is given by k. A denotes the window's surface area (in m2). T1 is the temperature of the inner surface (in degrees Celsius). T2 is the temperature of the outer surface (in degrees Celsius).The following equation may be used to determine heat loss via a glass window: Q = k * A / (T1 - T2) where Q denotes heat loss The thermal conductivity of glass. The thickness of the glass is denoted by d. When we plug in the values, we get: Q = 1.4 * (1 * 3) * (15 - 5) / 0.005 Q = 1.4 * 3 * 10 / 0.005 Q = 1.4 * 600 / 0.005 Q = 840 / 0.005 Q = 168000 W As a result, the heat loss through a 1 m 3 m glass window with a 5 mm thickness and a temperature differential is 10 °C is equal to 168000 W.
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man pulls up a box of mass 70kg up on a inclined plane of effective length 5m on a platform 2.5m height at uniform speed, if the function on the plane is 100N. Draw the diagram of all the acting forces. b. minimum effort applied in pulling the box. c. efficiency of the plane
A amount of energy delivered to the aircraft per unit energy inside the fuel is known as efficiency. Thrust times airspeed equals the rate during which energy is transferred.
How can the effectiveness of a plane be determined?As was already noted, fuel efficiency may be calculated by comparing an airline's output to the amount of fuel burned. This number reveals that long-haul flights typically carry 31–32 passengers per km and litre of fuel.
The efficiency formula is what?Utilizing the formula below, efficiency may be represented as a ratio: Input > Output. The entire quantity of helpful work completed, excluding waste and spoilage, is known as output or work output. Efficiency can also be expressed in percentages by dividing the ratio besides 100.
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How to make a lol diagram?
LOL diagrams are indeed a means to show how the electricity is collected in the system or process at different points in time as well as any changes in the system's overall energy.
Describe energy.Scientists refer to energy as the ability to work. Human civilization is feasible because people have learned how to change energy from one type to another and then use it to complete activities. There are many different kinds of energy, including electrostatic, chemical, nuclear, acoustical, light, heat, musculoskeletal, electrical, as well as nuclear energy.
Why is energy such a big deal?Modern medical technologies, automobiles, computers, and a plethora of things are all fueled by energy. Particularly urgent is the need for affordable, reliable energy in rising economies. It might even save a person's life.
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if your car tire requires 30 psi of pressure, approximately how many kg per square cm would that equal?
For 30 psi of pressure, we can get approximately 2,1092 [tex]\frac{kg}{cm^{2} }[/tex]
Psi (Pounds per square inch) is used to measure the pressure of gasses or liquids. To convert psi to [tex]\frac{kg}{cm^{2} }[/tex] , we used Pascals (Pa) for equalize the units.
1 psi is equal to approximately 6894,76 Pa (Pascals)
1 [tex]\frac{kg}{cm^{2} }[/tex] is equal to approximately 98,066.50 Pa (Pascals)
Convert 30 psi to Pa (Pascals)
30 psi = 30 x 6894,76 Pa = 206.842,8 Pa
Hence, 30 psi = 206.842,8 Pa
Then, convert 206.842,8 Pa to [tex]\frac{kg}{cm^{2} }[/tex]
206.842,8 Pa = 206.842,8 : 98,066.50 = 2,1092 [tex]\frac{kg}{cm^{2} }[/tex]
So, 206.842,8 Pa = 2,1092 [tex]\frac{kg}{cm^{2} }[/tex]
And detail converting are becoming
30 psi = 206.842,8 Pa = 2,1092 [tex]\frac{kg}{cm^{2} }[/tex]
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calculate the current flowing through an element at t=0.5s if the charge flow is given by: q(t) = 20e −6t cos (25t) μc
By considering the derivative of q(t) with respect to time, it is possible to determine the current flowing through the element at t=0.5s. A current of -20e-0.5cos(250.5) + 200.5e-0.5sin(25*0.5) A would result.
By considering the derivative of the charge flow q(t) with respect to time, it is possible to determine the current flowing through an element at t=0.5s. The charge flow is represented by the equation q(t) = 20e-6t cos (25t) C. We may obtain the current passing through the element at time t=0.5s by differentiating the function q(t), which is equal to -20e-0.5cos(12.50.5) + 25e-0.5sin(12.50.5) A. The current flowing through the element at any one time may be calculated using this equation, which depicts the fluctuating rate of charge flow. A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control container is how it is calculated.
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Consider the following quantities: distance x, velocity v, acceleration a, and time t. Which of the following are dimensionally consistent? (choose all that apply) a.xa2=t4x2v
b.v=5at
c.x=t
d.x=3vt
e.x=vt+2vt2
f.a3=t5x2v
g.a=tv+2xv2
h.v=at3x2
v=5at, x=3vt, v=at3x2 and a3=t5x2v are dimensionally consistent.
What does dimensionally consistent means?
Dimensional consistency refers to a property of equations in which the units of all terms are consistent with each other. This means that each term in an equation must have the same units, and the units must be the same as the units of the result. For example, if one term of an equation is a length, all other terms must also have the same unit of length. This ensures that the equation is mathematically valid.
So first we have given there we it equals to this is 5 at. So if we write the dimension or the dimension of the velocity is this is into L t minus one. And The dimension of at will be also this is L into Lt -1. So if you can say that both have the same dimension two dimensionally correct. the dimension of access and and the dimension of well it is so this is also L. So we can see they are dimensionally correct. So we know that the dimension of velocities t minus one. And if we calculate the dimension of this, so the dimension of excess square is early square upon this is it is D cube. So you can see that this is the dimension of execution is L. T -2 into disease D cube. So as we can say that this will comes out and Do You -1. So this is Equals to the LT -1. So this is also dimensionally correct.
Therefore, v=5at, x=3vt, v=at3x2 and a3=t5x2v are the answers.
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Weight lifting has become very popular in the last few years. When lifting a
barbell, which grip will exert less force on the lifter's arms, one where the
hands are close together in the middle of the bar, or one where the hands
are close to the weights? Explain.
Gravity pulling below and your hand pulling up are the two external forces that are pulling on the barbell in a vertical direction.
What forces are acting when lifting weights?By exerting force that is produced by the person's muscles, the weights are raised. It is therefore a muscular force. exercise forms. The nature of weight training is typically isotonic. This indicates that a particular muscle is being utilized and contracting as a result of a weight, causing muscle contractions in that region of the body.
Kicking is a pushing force since it applies pressure to the body's center of mass, whereas lifting, opening, and picking are pulling actions. Frictional force is stronger when pushing than when pulling.
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which electrical formula should be used to find the maximum current that can be carried by a resistor if the resistor's resistance and wattage rating are known?
A - I = R x P
B - I = P/R
C = I = ✔️R/P
D = I = ✔️P/R
The formula I = √(P/R) should be used to find the maximum current carried by the resistor if the resistor's resistance and wattage rating are known.
The wattage rating is based on the heat produced by the resistance for an indefinite period of time, without degrading its performance. Wattage rating is also know as power rating. We know heat generated by the resistors is formulated as: H = i²Rt
Power is defined as the time rate of doing work or time rate of heat energy dissipated.
So power, P = H/t = I²R
i² = P/R
I = √(P/R)
Hence option D is correct.
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in the relation f = il x b, which pairs of the vectors are always at 90
In the relationship f = il x b, the vectors f and b are always at a 90-degree angle. This is because f stands for the magnetic force that a current-carrying wire experiences, and b for the magnetic field.
The right-hand rule states that your fingers will curl in the direction of the magnetic field when your right hand's thumb points in the direction of the current (il) (b). As a result, the two vectors are at a 90-degree angle. When f = il x b is used, the vectors f and b are always at a 90-degree angle. This is because f denotes the magnetic force felt by a current-carrying wire and b denotes the magnetic field. Electric motors, generators, and transformers all employ this connection between magnetic force and magnetic field, which is a fundamental idea in electromagnetism.
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for one-dimensional, steady-state conduction in a cylindrical or spherical shell without heat generation, is the radial heat flux independent of radius? is the radial heat rate independent of radius?
Yes, for one-dimensional, steady-state conduction in a cylindrical or spherical shell without heat generation, the radial heat flux is independent of radius.
For one-dimensional, steady-state conduction in a cylindrical or spherical shell without heat generation, is the radial heat flux independent of radius. Yes, for one-dimensional, consistent state conduction in a round and hollow or circular shell without heat age, the outspread intensity transition is free of range. The spiral intensity rate, which is the result of the intensity motion and the cross-sectional region, is additionally free of span. This is on the grounds that, in consistent state conditions, the intensity stream is corresponding to the temperature slope, and the temperature angle is steady all through the shell because of the balance of the issue. so yes the radial heat rate independent of radius.
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While traveling along the Highway a driver slows down from 24m/s to 15m/s in 12 seconds. What is the automobile's acceleration?
While traveling along the Highway a driver slows down from 24m/s to 15m/s in 12 seconds, the automobile's acceleration is - 0.75 m/s².
What is acceleration?
Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Acceleration of the automobile is = (15 - 24/12 m/s²
= - 0.75 m/s²
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in the 100ml graduated cylinder, which sediment will settle out of suspension last? why?
The sediment that will settle out of suspension last in a 100ml graduated cylinder is the one with the smallest particle size.
Suspended particles in a liquid settle out due to the force of gravity. The faster they settle, the heavier and coarser the particles are. In a 100ml graduated cylinder, the sediment with the smallest particle size will take the longest to settle due to its lower density and decreased settling velocity.
On the other hand, larger and denser particles will settle faster due to their increased weight and settling velocity. The time it takes for the particles to settle will also depend on the liquid's viscosity and the size and shape of the container. When choosing which sediment will settle out last, it is important to consider the properties of the particles and the conditions in which they are suspended.
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whenever the net force on an object is zero, its acceleration
Whenever the net force on an object is zero, its acceleration is also zero.
Definition of AccelerationAcceleration, it means an increase in speed and is recorded in units of gravity. The unit for acceleration is meters per second squared (m s 2).
Materials about acceleration usually enter into discussions of uniformly altered rectilinear motion. This is because this formula is very closely related to the material.
We might understand about the symbols in the formula for calculating acceleration.
a: average acceleration (m/s2)
Δv: speed change (m/s)
Δt: time interval (s)
V1: initial time (m/s)
V2: final speed (m/s)
t1: initial time(s)
t2: end time(s)
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Describe two situations in which your velocity is constant
which of the following levers would be best to use to move a specific object if your only objective was speed of the object's movement? a third-class lever with a resistance arm of 20 and a force arm of 10 each lever would be just as effective as the others. a second-class lever with a resistance arm of 10 and a force arm of 20 a first-class lever with a resistance arm of 10 and a force arm of 10
A first-class lever with a resistance arm of 10 and a force arm of 10 should be used.
Levers are the most basic machines which are used to do some work with minimal effort. A lever amplifies an input force to provide a greater output force, which is said to provide leverage. First Class: This is a type of lever which has the fulcrum in between the weight and the force applied. Its order is represented as force-fulcrum-weight. This is the most basic type of lever.Second Class: In this, the fulcrum is at one end and the force applied is on the other end. The weight is situated in the middle of these two. The order of this would be fulcrum-weight-force. The application of force at one end will result in some work done on the other end.Third Class: These are the levers in which the fulcrum is at one end and the force is applied in the middle and the weight is on the other end. The order is represented as a weight-force-fulcrum. In this case, we have to apply more energy to displace the weight to a longer distance.To know more about levers visit:
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one definition of work is force times distance (f x l). if a constant force of 104 dynes acts to move an object by 100 cm, what is the work done in ergs? in joules? in calories
The work done in ergs is 0.0104 joules and 0.002475 calories.
Work can be calculated using the definition of work as force times distance, or W = F * d, where
W is the work done,
F is the force,
d is the distance moved.
Given a constant force of 104 dynes acting to move an object by 100 cm, we can calculate the work done as follows:
W = F * d = 104 dynes * 100 cm
= 10,400 dyne cm = 10,400 g cm cm.
One erg is defined as the amount of energy required to move a force of one dyne over a distance of one centimeter, so the work done in ergs is equal to the work done in dyne cm, or 10,400 ergs.
One joule is equal to 10^7 ergs,
so the work done in joules is 10,400 ergs / 10^7 ergs/joule = 0.0104 joules.
One calorie is defined as the amount of energy required to raise the temperature of 1 gram of water by 1 degree Celsius, and is approximately equal to 4.184 joules. Therefore, the work done in calories is 0.0104 joules / 4.184 joules/calorie = 0.002475 calories.
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further down the lane, the bowling ball from problem3 gets stopped by a pillow in a total of 0.67 seconds. What force did the pillow exert on the bowling ball to bring it to rest?
Answer:
0.70
Explanation:
because you have to add the number
four charges are placed on the vertices of a square and one at its center. using the symmetry of the arrangement, determine the direction of the force on the positive charge
The force experienced by a point charge in an electric field is given by Coulomb's law where F is the force, k is the Coulomb constant, q1 and q2 are the charges, and r is the separation between the charges.
The direction of the force is given by the direction of the electric field at that point, which is proportional to the gradient of the electric potential at that point. In this case, the arrangement of charges is symmetrical, with equal and opposite charges at each vertex of the square and a positive charge at the center. This means that the electric field at the center of the square will be zero, as the forces from each charge will cancel out. Therefore, the positive charge will not experience any net force and will remain stationary.
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while going on a straight highway, you see a deer come suddenly on the road, and you press the brakes to stop the car. if your speed in 50 miles per hour, then to stop the car in a distance 70 m, what must be your acceleration?
The required acceleration to stop the car in 70 meters while going at 50 miles per hour is approximately 7.95 m/s².
The distance it takes to stop a moving car can be calculated using the formula:
d = v² / (2 x a)
where d is the stopping distance, v is the initial velocity (in this case, 50 miles per hour), and a is the acceleration.
Rearranging this formula to solve for acceleration
a = v² / (2 x d)
Substituting the given values:
a = (50 miles/hour)² / (2 x 70 m)
First, the velocity must be converted to meters per second:
v = 50 miles/hour x 1609.34 m / 3600 s
= 22.352 m/s
a = (22.352 m/s)² / (2 x 70 m) = 22.352² / (2 x 70)
= 7.95 m/s²
So the required acceleration to stop the car in 70 meters while going at 50 miles per hour is approximately 7.95 m/s².
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A 75-kg fisherman in a 125-kg boat throws a package of mass m=15kg horizontally towards the right with a speed of Vi =4.5 m/s. Neglecting water resistance ,and assuming the boat is at rest before the package is thrown ,find the velocity of the boat after the package is thrown.
The correct answer is 0.37 m/s to the left
Momentum is conserved. Initial momentum = final momentum.
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
Initially, both the fisherman/boat and the package are at rest.
0 = m₁ v₁ + m₂ v₂
Plugging in values and solving:
0 = (82 kg + 112 kg) v + (15 kg) (4.8 m/s)
v = -0.37 m/s
The boat's velocity is 0.37 m/s to the left.
What is momentum?
Instigation, the product of a flyspeck's mass and its haste. instigation is a vector volume; i.e. it has both magnitude and direction. Isaac Newton's alternate law of stir countries that the time rate of change of instigation is equal to the force acting on the flyspeck. See Newton's laws of stir.To know more about momentum, click the link given below:
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The velocity of the boat after the package is thrown is 0.37 m/s to the left.
What is momentum?
Momentum is a quantitative measure of the speed and magnitude of price changes of a security over a given period of time. It is usually expressed as a rate of change, such as a percentage or ratio. Momentum can be used to identify trends and to measure the strength of a given trend. Momentum can also be used to signal when a trend is likely to reverse.
Instigation, the product of a flyspeck's mass and its haste. instigation is a vector volume; i.e. it has both magnitude and direction.Isaac Newton's alternate law of stir countries that the time rate of change of instigation is equal to the force acting on the flyspeck. See Newton's laws of stir.
Momentum is conserved. Initial momentum = final momentum.
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
Initially, both the fisherman/boat and the package are at rest.
0 = m₁ v₁ + m₂ v₂
Plugging in values and solving:
0 = (82 kg + 112 kg) v + (15 kg) (4.8 m/s)
v = -0.37 m/s
The boat's velocity is 0.37 m/s to the left.
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A blue 6.5 g six sided die is rolling with a velocity of + 12 m/s and a green 7.5 g eight sided die is rolling in the opposite direction with a velocity of 10 m/s. Calculate the magnitude of the momentum of the two dice system?
The magnitude of the momentum of the two dice system is 0.003 kg m/s.
What is momentum?Momentum is a measure of an object's motion, defined as the product of its mass and velocity. It represents the amount of motion an object has, and the direction of that motion. In physics, momentum is a conserved quantity, meaning that the total momentum of a system remains constant unless acted upon by an external force. This is reffered to as the law of conservation of momentum. The greater an object's mass and velocity, the greater its momentum.
The magnitude of the momentum of an object can be calculated by multiplying its mass by its velocity.
For the blue die:
mass = 6.5 g = 0.0065 kg (converted from grams to kilograms)
velocity = 12 m/s
momentum = 0.0065 kg × 12 m/s = 0.078 kg m/s
For the green die:
mass = 7.5 g = 0.0075 kg (converted from grams to kilograms)
velocity = -10 m/s (opposite direction)
momentum = 0.0075 kg × -10 m/s = -0.075 kg m/s
The total momentum of the two dice system can be found by adding the momenta of each individual die:
total momentum = 0.078 kg m/s + (-0.075 kg m/s) = 0.003 kg m/s
So, the magnitude of the momentum of the two dice system is 0.003 kg m/s.
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Answer: 3 g*m/s
Explanation: another person explained it, but gave the wrong answer. i wish i knew what they did wrong.
why does the color of stars help scientists to know the temperature of stars?
The wavelength of photons emitted by a star depending on its temperature increase.
What is the temperature answer?The total kinetic energy of the system is measured by its temperature. The kinetic energy of a system starts to rise as the particle's velocity increases, which raises the system's temperature. The energy that is transferred when two bodies with different surface temperatures come in touch is referred to as heat.
How is temperature used in science?The term "temperature" refers to a measurement of an object's average kinetic energy, which is a category of energy linked to motion and used to describe how hot or cold an object is.
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The charge on a single electron is about 1.6 × 10^-19 C. If you measure the charge on a collection of objects, which of the following charges would you not expect to find?(a) 1.6 x 10^-19 C(b) 2.5 x 10^-19 C (c) 3.2 x 10^-19 C
You would not expect to measure a charge of 2.5 × 10^-19 C or any other charge that is not an integer multiple of the electron charge. Hence, the correct option is (b).
The charge on a single electron is fixed and is equal to approximately 1.6 × 10^-19 Coulombs (C). The charge of a collection of electrons can be any multiple of this value, so it is possible to measure a charge of 1.6 × 10^-19 C, 3.2 × 10^-19 C, 4.8 × 10^-19 C, etc.
However, you would not expect to measure a charge of 2.5 × 10^-19 C or any other charge that is not an integer multiple of the electron's charge, as the charge on a single electron is considered to be the smallest indivisible unit of charge. This means that the total charge on a collection of objects will always be an integer multiple of the charge on a single electron.
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What collides and creates a movement of heat called conduction?A. photonsB. compoundsC. MoleculesD. atoms
Molecules collide and create a movement of heat called conduction.
The moving molecules of a solid material can increase the heat energy of the molecules in another solid material by transferring it directly from one molecule to the other.
Heat transfer by conduction can usually occur in solid objects, such as iron, metals, and copper. Substances that can conduct heat well are called conductors, while substances that have difficulty conducting heat are called insulators.
Conduction is the only mechanism by which heat can flow in opaque solids.
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What is a pascal as a unit of pressure or stress?
A pascal (Pa) is a unit of pressure or stress in the International System of Units (SI).
What is International System of Units (SI) ?The International System of Units (SI) is the modern form of the metric system and is the most widely used system of measurement. It is based on seven base units which are used to measure seven fundamental physical quantities such as length, mass, time, temperature, electric current, luminous intensity, and amount of substance. Derived units are formed from these seven base units and can be used to measure other physical quantities. The SI is constantly evolving to ensure compatibility with the latest scientific and technological advances. It is important to note that SI units are always written with a capital letter and must be preceded by a numerical value. The SI is the gold standard for scientific and technical communication and is used in most countries across the world. It is important to remember that the SI is a coherent system, meaning that the units are related to each other by a set of mathematical relationships.
It is defined as one newton (N) per square meter (m2). One pascal is equivalent to one kilogram per meter squared (kg/m2). It is the SI unit of pressure and is equivalent to the pressure created by a one-newton force applied over an area of one square meter.
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The mass of the shell of a bird egg (Mshell) scales with the overall mass of the egg (Megg) according to the following relationship: Mshell∝M^(1.132)egg = M to 1.132 power. In this question, you will determine the scaling relationship between the surface area of the egg shell and the mass of the egg.Assuming a constant density, the size of an object scales as its mass raised to what power?
Assuming a constant density, the size of an object scales as its mass raised to the 1/3 power.
Assuming a constant density, the size of an object scales as its mass raised to the 1/3 power.
The surface area of a sphere scales as the square of its radius, therefore if the egg shell is approximately spherical, its surface area would scale as the square of its radius raised to the power of 2, or A∝r^2. Since the mass of the egg shell is proportional to its volume, which is proportional to the cube of its radius, or V∝r^3, we have:
A∝r^2 and V∝r^3
Combining these two relationships, we have:
A∝r^2 and V∝r^3
A∝(V^(2/3))^2 = V^(4/3)
Substituting in the relationship between the mass of the egg shell and the volume:
V∝M^(1.132)
A∝M^(2.264)
Therefore, the surface area of the egg shell scales with the overall mass of the egg to the power of 2.264.
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When a cannon fires a cannonball, the cannon will recoil backward because the?
When a cannon fires a cannonball, the cannon will recoil backward. It is because the momentum of cannonball and the cannon is conserved.
What is the conservation of momentum?The conservation of momentum principle states that the amount of momentum within a problem domain remains constant; momentum is neither created nor destroyed, but only changed by the action of forces as described by Newton's laws of motion.
p = p′p: the system's initial momentum (total momentum before an event)
p′: the system's final momentum (total momentum after the event)
The total momentum is zero before the cannon is fired. This is due to the fact that neither object is moving. When a cannon is fired, the cannonball accelerates forward and the cannon accelerates backward. As a result, the total momentum of the cannon and cannonball after firing is also zero. Finally, it is obvious that a cannon will recoil backward when a cannon fires a cannonball because the momentum of the cannonball and the cannon is conserved.
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A fly wheel of mass 500kg and radius 1m makes 500 revs/min. Assuming the mass is concentrated along the rim, calculate the energy of the rim
The energy of the flywheel can be calculated using the equation E = [tex]0.5Iw^2[/tex], where I is the moment of inertia and ω is the angular velocity.
For a flywheel with a radius of 1m and mass of 500kg, the moment of inertia is[tex]500 x (1m)^2 = 500 kg-m2.[/tex] The angular velocity is 500 revolutions per minute, which is equivalent to 8.667 rad/s. Plugging these values into the equation gives us [tex]E = 0.5 x 500 x (8.667)^2 = 35,584.7 J.[/tex]
The energy of a flywheel is the energy stored in the kinetic form due to its rotation. It is defined as the product of the moment of inertia and the square of the angular velocity of the flywheel.
The energy stored in the flywheel is proportional to the square of the angular velocity and is also proportional to the moment of inertia. The greater the angular velocity, the more energy is stored in the flywheel.
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