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

Answers

Answer 1

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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Related Questions

A box contains five balls. The ball are numbered 1, 2, 3, 4, and 5. A person randomly draws two balls from the box. If we let x be the sum of the numbers of the balls drawn, how many possible values for x are there?.

Answers

The possible sums are: 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. So there are 10 possible values for x.

The number of ways to choose 2 balls from 5 balls is 5 choose 2, which can be calculated as 5! / (2! (5-2)!). This can also be written as 5C2. The result is 10. Hence, there are 10 possible sums that can be obtained by choosing 2 balls out of 5 balls numbered 1, 2, 3, 4, and 5.

Therefore, the possible sums are: 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. So for x, there are 10 possible values.

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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.

Answers

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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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?

Answers

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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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.

Answers

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.

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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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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

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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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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

Answers

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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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

Answers

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 100ml graduated cylinder, which sediment will settle out of suspension last? why?

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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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what is the reaction force to the force due to gravity pulling down on the capsule? list force written in 3rd law notation, the magnitude, and the direction.

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The reaction force to the force of gravity on a capsule is called the normal force. It acts in the upward direction and has an equal magnitude but opposite direction to the gravitational force. The 3rd law notation is:

Gravitational force: m * g (down)Normal force: -m * g (up)

The magnitude of the normal force is equal to the weight of the object, m * g, and the direction is opposite to the direction of the gravitational force.

The normal force is an example of Newton's 3rd law of motion, which states that for every action, there is an equal and opposite reaction. In this case, the action is the force of gravity pulling down on the capsule, and the reaction is the normal force pushing up on the capsule.

The normal force arises due to the fact that the capsule is in contact with a supporting surface, and it prevents the capsule from falling through the surface. The normal force acts perpendicular to the surface and its magnitude depends on the weight of the object and the surface it is resting on.

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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?

Answers

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.

if your car tire requires 30 psi of pressure, approximately how many kg per square cm would that equal?

Answers

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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Which electrode is the anode and what is the cell potential in a standard lead-cobalt cell? a)The anode is the lead electrode and the cell potential is +0.15 V. b)The anode is the lead electrode and the cell potential is +0.39 V. c)The anode is the cobalt electrode and the cell potential is +0.15 V. d)The anode is the cobalt electrode and the cell potential is +0.39 V.

Answers

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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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?

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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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a horizontal insulating rod of length 8.6-cm and charge 26 nc is in a plane with a long straight vertical uniform line charge. the linear charge density of the long line charge is 3.7 10-7 c/m. what is the electric force on the rod if the end closest to the line charge is 2.0 cm away?

Answers

The electric force on the rod if the end closest to the line charge is 2.0 cm away is 2.214 × 10⁻³ N.

What is energy?

Energy is a property of matter and radiation that is the ability to do work. It can take many forms, including thermal energy, light energy, mechanical energy, electrical energy, and chemical energy. Energy can be transformed from one form to another but cannot be created or destroyed, according to the law of conservation of energy. Energy is essential for many processes and activities in the natural world, such as photosynthesis in plants, movement of ocean currents, and generation of electricity in power plants. In physics, energy is often described as a scalar quantity and is typically measured in units of joules (J) or electron volts (eV).

[tex]\begin{aligned}& \mathrm{E}=2 \mathrm{k} \lambda \mathrm{r} \text { (field strength of long line of charge) } \\& \mathrm{F}=\mathrm{qE} \\& \mathrm{F}=2 \mathrm{k} \lambda \mathrm{q} / \mathrm{L} *[\mathrm{dr} / \mathrm{r} \\& \mathrm{F}=2 \mathrm{k} \lambda \mathrm{q} / \mathrm{L} * \int \mathrm{dr} / \mathrm{r} \\\end{aligned}[/tex]

[tex]\begin{aligned}& {[\text { $$Integrate from$ $}(0.02) \text { to }(0.02+\mathrm{L})]} \\& \mathrm{F}=\left[\left(2 * \mathrm{k}^* \lambda^* \mathrm{q}\right) / \mathrm{L}\right] *[\ln (0.02+\mathrm{L})-\ln (0.02)] \\& \mathrm{F}=\left[\left(2 * 9 \times 10^9 * 3.1 \times 10^{-7} * 29 \times 10^{-9}\right) / 0.161\right] *[\ln (0.02+0.161)-\ln (0.02)] \\& \mathrm{F}=1.005093 \times 10^{-3}(2.2027) \\& \end{aligned}[/tex]

F = 2.214 × 10⁻³ N

Thus, The electric force on the rod if the end closest to the line charge is 2.0 cm away is 2.214 × 10⁻³ N.

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what colors of light would you see if you look through rose-colored glasses?

Answers

Answer:red

Explanation:red

you would see a reddish color if you look through rose-colored glasses.

Rose-colored glasses are a popular phrase that refers to a nostalgic or optimistic view of the world, but it can also refer to actual glasses with pink-tinted lenses. When looking through these glasses, the world appears to have a reddish hue due to the color of the lenses.

The tint of the lenses selectively filters out certain wavelengths of light, allowing only the red portion of the visible spectrum to reach the eye. This creates an illusion of a world with a reddish tint, as all colors are seen through the lens with a reddish hue.

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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?

Answers

Answer:

0.70

Explanation:

because you have to add the number

why do some stars appear brighter than others as seen from the same spot on earth?

Answers

Because some stars are closer to our planet than others, they appear to be larger because the Earth receives less light from the closest stars that it does from the distant ones.

What material do stars have?

Large celestial bodies known as stars are primarily composed of helium and hydrogen and generate light and heat in their centers from churning nuclear forges. The other stars we can see in the skies are all gentle away from Earth, excluding our sun. They serve as the foundation for the universe's billions of galaxies.

A star is what?

There are now lines. An astronomical object known as a star is made up of a luminescent plasma spheroid that is held together by the object's own gravity. Earth's closest star is

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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?

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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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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​

Answers

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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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

Answers

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.

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What collides and creates a movement of heat called conduction?A. photonsB. compoundsC. MoleculesD. atoms

Answers

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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whenever the net force on an object is zero, its acceleration

Answers

Whenever the net force on an object is zero, its acceleration is also zero.

Definition of Acceleration

Acceleration, 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

Answers

The simplest type of motion (excluding the trivial case in which the body under investigation remains at rest) consists of motion with constant velocity. This type of motion occurs in everyday life whenever an object slides over a horizontal, low friction surface: e.g., a puck sliding across a hockey rink.
1. When you are driving on a straight and level highway at a constant speed, your velocity is constant. This means that your speed and direction of travel are both unchanged over time. For example, if you are driving 60 mph in a straight line towards the east, your velocity is 60 mph to the east.

2. When you are in free fall, your velocity is constant. This means that you are falling at a constant rate and your speed is increasing linearly over time, due to the acceleration caused by gravity. For example, if you drop a ball from a high place, it falls to the ground at a constant velocity, increasing its speed as it falls. In this situation, the velocity is constant in magnitude (speed) but not in direction, as the ball is continuously falling towards the ground

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.

Answers

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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What happens to the speed of a ball after it is thrown upward into the air neglect air resistance?

Answers

The speed of a ball that is thrown upward into the air, neglecting air resistance, changes over time due to the force of gravity. The ball's velocity decreases as it rises, reaches zero at the peak of its trajectory, and then increases as it falls back towards the ground.

The motion of an object under the influence of gravity can be described by the laws of physics. When a ball is thrown upward into the air, it initially moves with a certain velocity. However, as the ball rises, its velocity changes due to the force of gravity acting on it. In this answer, we will neglect the effect of air resistance and focus solely on the effect of gravity.

When a ball is thrown upward, it has an initial velocity, which is equal to the magnitude of the velocity with which it was thrown. This velocity is positive, meaning that it points in the upward direction. However, as the ball rises, it is slowed down by the force of gravity, which acts in the downward direction. As a result, the velocity of the ball decreases over time.

The acceleration due to gravity, g, is a constant 9.8 m/s^2, and it acts in the downward direction. The equation for velocity, v, as a function of time, t, can be expressed as v = v0 - gt, where v0 is the initial velocity. This equation shows that the velocity of the ball decreases linearly with time as it rises into the air.

At the peak of its trajectory, the ball has zero velocity. This means that it is momentarily at rest, and from this point on, it begins to fall back towards the ground. The velocity of the ball at this point is negative, meaning that it points in the downward direction. As the ball falls, its velocity increases due to the force of gravity, and it continues to increase until it reaches the ground.

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in the relation f = il x b, which pairs of the vectors are always at 90

Answers

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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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

Answers

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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What is a pascal as a unit of pressure or stress?

Answers

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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there is a 230-m-high cliff at half dome in yosemite national park in california. suppose a boulder breaks loose from the top of this cliff. assuming a reaction time of 0.300 s, how long will a tourist at the bottom have to get out of the way after hearing the sound of the rock breaking loose (neglecting the height of the tourist, which would become negligible anyway if hit)? the speed of sound is 340 m/s on this day.

Answers

The time for the tourist to get out of the way is 5.870 s.

When a boulder breaks loose from the top of the cliff, the rock will have free fall motion. The height of the cliff determines the time it takes for the rock to fall according to the equation

h = v₁ t + 0.5 at²

v₁ = initial velocity
For freefall motion, the initial velocity equals zero.
v₁ = 0t = timea = acceleration
a = g
g = acceleration due to gravity = 9.8 m/s²h = the height
h = 230 m

h = v₁ t + 0.5 at²

h = 0.5 gt²

230 = 0.5 × 9.8 × t²

230 = 4.9 × t²

t² = 230 ÷ 4.9

t² = 46.94

[tex]t \:=\: \sqrt{46.94}[/tex]

t = 6.85 s

The rock will reach the ground in 6.85 s.

Sound moves in uniform motion according to equations

v = d ÷ t

t = time (s)d = distance
d = h = 230 mv = speed of sound
v = 340 m/s

t = d ÷ v

t = 230 ÷ 340

t = 0.680 s

Tourists will react 0.300 s after hearing the sound of falling stones.

t tourist = t + 0.300 = 0.680 + 0.300 = 0.980 s

The time for the tourist to get out of the way is the difference in the  time the stone reaches the ground and the time he reacts

6.85 - 0.980

= 5.870 s

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When a cannon fires a cannonball, the cannon will recoil backward because the?

Answers

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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