If you run a lap around a track of 200 m. What should be distance and displacement?

The electric field at a point halfway is 18.37 x 10⁵ N/C.

We need to know about the electric fields to solve this problem. The electric field produced by a single-point positive charge is a radial field, whose strength is given by the equation

E = k.Q/r²

where E is the electric field, Q is the charge and r is the radius.

From the question above, we know that

k = 9 x 10⁹ Nm²/C²

Q1 = -5μC = -5 x 10¯⁶ C

Q2 = 4μC = 4 x 10¯⁶ C

x = 21 cm = 0.21 m

from midpoint (r = 0.105 m)

The electric field directly outward from Q2 to Q1 so that the total electric field between the charges will be added up.

Etotal = E1 + E2

Etotal = k.Q1/r² + k.Q2/r²

Etotal = k/r² x (Q1 + Q2)

Etotal = 9 x 10⁹/(0.21)² x (5 x 10¯⁶ + 4 x 10¯⁶)

Etotal = 18.37 x 10⁵ N/C

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Answer:

The answer is

Explanation:

The velocity or speed of an object can be found by using the formula

\(velocity \: = \frac{distance}{time} \)

From the question

time taken to travel = 10 hours

distance covered = 550 miles

Substitute the values into the above formula and solve for the velocity

That's

\(velocity = \frac{550}{10} \)

We have the final answer as

Hope this helps you

Answer:

Fire up the kiln or furnace to 1220°F.

Explanation:

This is the melting point of aluminum

The correct statement is: Two objects are resolvable if the angle between them is smaller than that given by Rayleigh's criterion.

Rayleigh's criterion, also known as the Rayleigh criterion of resolution, provides a criterion for determining the minimum angle at which two objects can be resolved as separate entities in an optical system, such as a telescope. According to Rayleigh's criterion, two point sources are just resolvable if the central maximum of the diffraction pattern produced by one source coincides with the first minimum of the diffraction pattern produced by the other source.

In practical terms, this means that if the angle between the objects is smaller than the angle determined by Rayleigh's criterion, they will appear as separate and distinct objects. On the other hand, if the angle between the objects is equal to or greater than the angle given by Rayleigh's criterion, they will blend together and cannot be resolved as separate entities.

Therefore, for two objects to be resolvable, the angle between them must be smaller than the angle specified by Rayleigh's criterion. This criterion defines the limit of resolution and is influenced by factors such as the wavelength of light and the aperture size of the optical system.

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Answer:

the value of the boltzman constant 8.61 73303 into 10 ratio by - 5 EV upon knev

Answer:

It means that 80% of our effort is converted to useful whereas 20% of our effort is wasted to overcome frictional and gravitational force.

Answer:

It means that the total energy produced by the machine is 80 percent and remaining 20 percent is wasted in the term of heat deu to friction.

Hope it is helpful !

The statement "The hoop reaches the bottom first". is true because When a coin and a hoop roll without slipping down an incline, the hoop reaches the bottom first. This is due to the difference in their rotational inertia or moment of inertia.

The moment of inertia depends on the mass distribution and shape of an object. For a hoop, its moment of inertia is greater than that of a coin. The moment of inertia of a hoop is given by I = MR², where M is the mass of the hoop and R is its radius.

When the coin and the hoop roll without slipping down the incline, their linear accelerations are the same since they start from rest. However, the rotational acceleration of the hoop is smaller because of its larger moment of inertia.

As a result, the hoop takes a longer time to rotate and reach the bottom of the incline compared to the coin. The coin, having a smaller moment of inertia, reaches the bottom first.

Therefore, the statement (a) is true: the hoop reaches the bottom first in this scenario. The race to the bottom does not depend on their relative masses or diameters, but rather on the difference in their moment of inertia.

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To solve this problem, we can use the concept of relative humidity. The relative humidity (RH) of air is defined as the ratio of the partial pressure of water vapor in the air to the saturation pressure of water vapor at the same temperature, expressed as a percentage. Mathematically, we can write:

RH = (Pv/Ps) x 100%

where Pv is the partial pressure of water vapor, Ps is the saturation pressure of water vapor at the same temperature, and the factor of 100% is used to express the result as a percentage.

Let's use this formula to solve the problem step by step:

We are given that the air has a temperature of 20°C and a specific humidity (i.e., the mass of water vapor per unit mass of dry air) of 8.6 g/kg. We can use a psychrometric chart or a calculator to find that the saturation pressure of water vapor at 20°C is about 2.34 kPa.

Using the definition of relative humidity, we can find the partial pressure of water vapor in the air:

RH = (Pv/Ps) x 100%

8.6 = (Pv/2.34) x 100%

Pv = 0.204 kPa

So the partial pressure of water vapor in the air at 20°C is 0.204 kPa.

We are told that the air is cooled to 5°C and its specific humidity decreases to 5 g/kg. We can repeat the same calculation as before to find the new partial pressure of water vapor:

RH = (Pv/Ps) x 100%

5 = (Pv/0.87) x 100% (The saturation pressure of water vapor at 5°C is about 0.87 kPa.)

Pv = 0.0435 kPa

So the partial pressure of water vapor in the air at 5°C is 0.0435 kPa.

Finally, we are told that the air is warmed back up to 25°C. We can use the same saturation pressure value as before (2.34 kPa) to find the new specific humidity:

RH = (Pv/Ps) x 100%

(Pv/2.34) x 100% = RH at 25°C

RH at 25°C = RH at 20°C

So the relative humidity remains constant during the warming process. Therefore, the partial pressure of water vapor in the air at 25°C is:

Pv = RH at 25°C x Ps

= RH at 20°C x Ps

= (0.204/2.34) x 2.34

= 0.204 kPa

Thus, the partial pressure of water vapor in the air at 25°C is the same as at 20°C, and its specific humidity is given by:

specific humidity = Pv/(p - Pv) = 0.204/(101.3 - 0.204) = 0.00202 kg/kg

Therefore, the water vapor content of the air at 25°C is 0.00202 kg of water vapor per kg of dry air.

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The magnitude of the normal force that the seat exerts on the rider and m is the mass of the ride is Fc = m * ac.

The centripetal acceleration can be calculated as: ac = v^2 / r, where v is the speed of the boy, and r is the radius of the circle. Since the boy moves at a constant speed in a vertical circle, the magnitude of the centripetal force is constant at all points in the circle, including at the bottom.

Therefore, the magnitude of the centripetal force of the boy at the bottom of the circle is  Fc = m * v^2 / r where v is the constant speed of the boy, and r is the radius of the circular path.

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The answer is around 0.12 kilograms, hence option C is the right one.

Use the formula:

Q = mL

where Q is the heat added, m is the mass of the substance, and L is the latent heat of fusion for the substance.

First, determine how much heat is required to melt the ice completely. The latent heat of fusion for ice is 334 kJ/kg.

So, the heat required to melt 1 kg of ice completely is:

Q = mL = (1 kg)(334 kJ/kg) = 334 kJ

Next, use the given heat of 40,000 J to calculate how much of the ice melts:

m = Q/L = (40,000 J)/(334 kJ/kg) = 0.1198 kg

Therefore, the answer is approximately 0.12 kg, so the correct choice is C.

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The focus of the examination is the property of shape known as "flatness" or "planarity."

In this scenario, the students are examining features of objects in the room, specifically the opposite sides of a book, the top and bottom of a chalkboard, and the edge of the wall that touches the edge of the floor. These observations indicate that the students are focusing on the property of shape known as "flatness" or "planarity."

"Flatness" refers to the characteristic of an object or surface that lacks curvature or unevenness. It implies that the object or surface can be described as a flat plane with two dimensions, such as a sheet of paper or a tabletop.

In the case of the objects mentioned by the students, they are examining the sides of the book, the top and bottom surfaces of the chalkboard, and the edge of the wall that meets the floor. These features are typically flat and demonstrate the property of planarity.

By examining these flat surfaces and their characteristics, the students can understand and differentiate the objects based on their shape and planar properties. This analysis allows them to recognize and classify objects based on their flatness or planarity.

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The flux of the curl of the field F across the given surface S is 108π. To calculate the flux of the curl of the field F across the surface S using Stokes' Theorem, we need to evaluate the surface integral ∬S curl(F) · dS, where curl(F) is the curl of the field F and dS is the outward-pointing vector normal to the surface.

First, we find the curl of the field F:

curl(F) = (curl(F))_x i + (curl(F))_y j + (curl(F))_z k

= (0 - 1) i + (1 - 0) j + (3 - 2) k

= -i + j + k

Next, we parameterize the surface S using the given equation r(r, θ):

r(r, θ) = rcosθ i + rsinθ j + (9 - r^2) k

We calculate the cross product of the partial derivatives of r(r, θ) with respect to r and θ to obtain the normal vector to the surface S:

dS = (∂r/∂r) × (∂r/∂θ) dr dθ

= (cosθ i + sinθ j - 2r k) dr dθ

Now, we evaluate the surface integral:

∬S curl(F) · dS = ∫∫ curl(F) · dS

= ∫∫ (-i + j + k) · (cosθ i + sinθ j - 2r k) dr dθ

= ∫∫ (-cosθ + sinθ - 2r) dr dθ

Integrating with respect to r from 0 to 3 and with respect to θ from 0 to 2π, we obtain:

∫∫ (-cosθ + sinθ - 2r) dr dθ = 108π

Therefore, the flux of the curl of the field F across the surface S is 108π.

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Answer:

Potential energy = 1.6 J

Work done = -1.6 J

Explanation:

Potential Energy in the spring at this extension?

The potential energy U in the spring is U = 1/2kx² where k = spring constant = F/x where F = force = 20 N and x = extension = 0.16 m. So k = 20 N/0.16 m = 125 N/m

U = 1/2kx²

= 1/2 × 125 N/m × (0.16 m)²

= 1.6 J

What is the work done to extend the spring. 16 meters

Work done W = U₁ - U₂ where U₁ = initial potential energy = 0 and U₂ = final potential energy = 1.6 J

W = 0 - 1.6 J

   = -1.6 J

The volume occupied by 0.255 mol of helium gas at 1.25 atm and 305 K is approximately 5.11 liters.

To find the volume occupied by 0.255 mol of helium gas at 1.25 atm and 305 K, we can use the Ideal Gas Law equation:
\(PV = nRT\)
where P is pressure, V is volume, n is the number of moles, R is the gas constant (0.0821 L atm / K mol), and T is temperature.

the area that one mole of any (ideal) gas takes up at normal pressure and temperature
We have:
P = 1.25 atm
n = 0.255 mol
R = 0.0821 L atm / K mol
T = 305 K
Rearranging the equation for volume, V:
\(V = nRT / P\)
Substitute the given values:
V = (0.255 mol)(0.0821 L atm / K mol)(305 K) / (1.25 atm)
Calculate the result:
V ≈ 5.11 L

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The compressor's efficiency is 60%, necessitating a power input of 25.87 kJ/s to operate the cooler. As a result, we've discovered the power required to operate the cooler that will allow the milk to be cooled to 4∘C in 5 minutes.

The electromechanical COP of a flash cooler is a measure of its efficiency. It can be greater than one, which is why it is called COP in refrigerators.

The COP of the electromechanical is 2.6 for a new flash cooler being designed for a pasteurization milk vat that uses R−134a as a refrigerant. The refrigerator must be capable of cooling 100 liters of hot milk at 70∘C to 4∘C in 5 minutes to meet the process requirements.

The milk in the vat is agitated with a paddle to improve heat transfer for the cooling process, requiring 1 kW of mechanical work. The milk's heat capacity is 4.035 kJ/kg/K.The cooling load (Q) required by the milk is computed as follows:Q = mCΔTWhere, m = mass of milk, C = specific heat of milk, and ΔT = change in temperature.Using these values, Q = 40.35 kJ/s.T

the refrigeration load (Q0) can be found using the following formula:

Q0 = Q/COP

Where COP = coefficient of performance.

For this cooler, COP = 2.6.Using these values, Q0 = 15.52 kJ/s.The power input (W) needed to run the cooler is calculated using the formula below :W = Q0/εWhere ε = compressor efficiency.

The compressor efficiency is typically 60%. Therefore, using these values,W = 15.52 kJ/s / 0.6 = 25.87 kJ/s.

To sum up, the electromechanical COP is an efficiency indicator of a flash cooler. It can be more significant than one, which is why it is called the COP in refrigerators. The process necessitates a refrigeration load of 15.52 kJ/s to cool 100 liters of milk from 70∘C to 4∘C in 5 minutes.

The compressor's efficiency is 60%, necessitating a power input of 25.87 kJ/s to operate the cooler. As a result, we've discovered the power required to operate the cooler that will allow the milk to be cooled to 4∘C in 5 minutes.

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Collected data plays a crucial role in evaluating whether the criteria for success have been met. By analyzing the collected data, one can assess the progress made towards achieving the desired goals and determine if the criteria have been fulfilled.

Data provides an objective measure of performance or outcomes, allowing for an evidence-based assessment of success. It helps to quantify and track key metrics or indicators related to the criteria for success. By comparing the actual data with the predetermined benchmarks or targets, one can determine if the criteria have been met or if further improvements are required.

Data analysis also enables the identification of trends, patterns, and correlations, providing insights into the factors influencing success. It helps in identifying areas of strength and areas that need improvement. Additionally, data can be used for comparative analysis, benchmarking against previous periods or similar projects, to gain a broader perspective on success.

In summary, collected data provides an objective basis for evaluating progress and success by comparing actual performance against predetermined criteria, identifying areas of improvement, and gaining insights for future decision-making.

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The temperature measured by the physical chemist is given by t-68.758°C. To convert this to SI units, we need to add 273.15 K to get the temperature in Kelvin. Therefore, t in SI units is (t-68.758°C + 273.15 K) = (t+204.392 K).

Since the original temperature measurement had 4 significant digits, our final answer should also have 4 significant digits. Therefore, our final answer is (t+204.4 K).

In summary, to convert a temperature measured in Celsius to Kelvin, we add 273.15. In this case, we apply that conversion to t-68.758°C to get the temperature in SI units, which is t+204.392 K, rounded to 4 significant digits as t+204.4 K.

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Answer:

A

Explanation:

Direct because it's still passes electricity through ir

If the pendulum bob took 0.20s to swing from a to b to c then the length of the pendulum would be 0.01 m. Here's how,

To calculate the period of a simple pendulum, we use the formula,

T = 2π√(L/g), but the time period is already given in the question which is 0.20 s, Therefore, we have to calculate the length of the pendulum, for which the formula is,

⇒ L = (T/ 2π)² * g,

⇒ L = \(\frac{T^{2}g}{4pi^{2}}\),

Where, L is the length of the pendulum,

T is the time period of the pendulum, and

g is the acceleration due to gravity.

Hence, from above the question we have given, T = 0.20 s, we have to calculate the length of the pendulum.

⇒ L = \(0.20^{2}\) × 9.8/ 4 × (\(3.14^{2}\))

⇒ L = 0.01 m.

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The dart will move at velocity approximately 5.0 m/s when it leaves the gun.

To calculate the speed of the dart, we can use the conservation of energy principle. When the spring is compressed, it has potential energy, which is converted into the kinetic energy of the dart when it is released. The potential energy of the compressed spring can be calculated using the formula: PE = 0.5 * k * x^2, where PE is the potential energy, k is the spring constant (250 N/m), and x is the compression distance (0.05 m).

PE = 0.5 * 250 * (0.05)^2 = 0.3125 J (joules)

Now, we can use the kinetic energy formula to find the speed of the dart: KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the dart (0.025 kg), and v is the speed. We can rearrange this formula to solve for v:

v = sqrt((2 * KE) / m)

Plugging in the values, we get:

v = sqrt((2 * 0.3125) / 0.025) ≈ 5.0 m/s

Therefore, the speed of the dart when it leaves the gun is approximately 5.0 m/s.

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That being said, it's important to measure both the length and diameter of a cylinder as accurately as possible to ensure precise and reliable results. The measuring tools and techniques used should be appropriate for the size and shape of the cylinder, and any uncertainties or errors in the measurements should be accounted for and minimized as much as possible.

What is Cylinder?

A cylinder is a three-dimensional geometric shape that consists of two parallel, congruent circular bases and a curved lateral surface that connects the bases. A cylinder can be thought of as a tube or pipe with a uniform circular cross-section, and is one of the most basic and fundamental shapes in geometry.

In general, the length of a cylinder should be measured more carefully than the diameter. This is because the length of a cylinder typically determines its overall volume and surface area, and any errors in measuring the length can have a larger impact on these properties than errors in measuring the diameter.

For example, if the length of a cylinder is measured too long or too short by even a small amount, it can result in a significant difference in the volume and surface area of the cylinder, which can affect its performance in various applications. On the other hand, errors in measuring the diameter may have a lesser impact on the overall properties of the cylinder, especially if the cylinder has a relatively small diameter or if the diameter is not a critical factor in its use.

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The car covers a distance d after time t of

d = (2.8 m/s²) t²

Solve for t when d = 69 m:

69 m = (2.8 m/s²) t²

t² = (69 m) / (2.8 m/s²)

t ≈ 4.96 s

Answer:

Just as images are reflected from the surface of a mirror, light reflected from a smooth water surface also produced a clear image. ... Consequently, the outgoing rays are reflected at many different angles and the image is disrupted. Reflection from such a rough surface is called diffuse reflection and appears matte.

Explanation:

hi po I hope it's help you

The horizontal force applied to the box to cause it to start sliding along the surface  is 111.72 N.

Force can be defined as the product of mass and acceleration.

To calculate the horizontal force that must be applied. we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the horizontal force applied to the box is 111.72 N.

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Bob's statement is incorrect. Having acute angles of the same measure in two right triangles does not necessarily guarantee that the triangles are similar.

Similar triangles have corresponding angles that are equal and corresponding sides that are proportional. While having acute angles with the same measure is a necessary condition for similarity, it is not sufficient. Two right triangles can have acute angles of the same measure and still have different side lengths, which would make them non-similar. The similarity of triangles depends on both angle measures and side ratios, not just the equality of acute angles. Additional information about the side lengths or proportions of the triangles is required to determine their similarity

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The energy that is transferred in this time is E = 1.365 J.

To calculate Charge using formula,

Q = I x t

Q = 0.13A x 35 s

Q = 4.55 C

To calculate energy transferred,

E = Q x V

where,

Q is charge

V is potential difference

So by given values,

E = 4.55  x 0.30

E = 1.365 J

In order to perform work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is a quantitative property. Energy is a conserved resource; according to the law of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

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Answer:

1.86 \(m/s^{2}\)

Explanation:

Acceleration = \(\frac{Force}{mass}\)

Force = 11N

Mass = 5.9 kg

∴ Acceleration = \(\frac{11}{5.9}\)

= 1.86 \(m/s^{2}\)