In the collision, the electron and positron both disappear, and are replaced by two muons (mc2 = 105.7 mev), which move off in opposite directions. a) what is the kinetic energy of each of the muons?

The diameter of the circular aperture is 0.287 mm.Given data:Wavelength of light, λ = 550 nm Distance between circular aperture and screen

L = 3.0 mWidth of central maximum

y = 5.75 mmDiameter of the circular aperture

D = ?

The diameter of the circular aperture can be calculated using the formula for the width of the central maximum:

y = (λL) / D Diameter of the circular aperture

D = (λL) / y Substitute the given values of λ, L, and y in the above formula:

Diameter of the circular aperture

\(D = (550 × 10⁻⁹ m) × (3.0 m) / (5.75 × 10⁻³ m)\)

Diameter of the circular aperture \(D = 286.96 × 10⁻⁶ m\)

Diameter of the circular aperture \(D = 2.87 × 10⁻⁴ m\)

Diameter of the circular aperture D = 0.287 mm

Therefore, the diameter of the circular aperture is 0.287 mm.

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Answer:

Yes, a mixture can be made up of just elements and no compounds. The elements never experiance a chemical interaction and stay only in physical contact with each other.

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The speed of the mass is approximately 0.942 m/s.

The numerical value of the centripetal acceleration is approximately 0.591 m/s².

To find the speed of the mass, we need to know the circumference of the circular path it follows.

The circumference of a circle can be calculated using the formula:

Circumference = 2 * π * radius

Given that the mass is located 1.5 meters from the axis of rotation, the radius (r) is 1.5 meters.

Circumference = 2 * π * 1.5

Circumference ≈ 9.42 meters

Since the mass makes one revolution in 10 seconds, we can calculate its speed by dividing the circumference by the time taken:

Speed = Circumference / Time

Speed = 9.42 meters / 10 seconds

Speed ≈ 0.942 meters per second (m/s)

Therefore, the speed of the mass is approximately 0.942 m/s.

Now, let's calculate the centripetal acceleration.

The centripetal acceleration (ac) can be calculated using the formula:

ac = (v²) / r

Given:

m (mass) = 0.1 kg

r (radius) = 1.5 meters

v (velocity) = 0.942 m/s

Substituting the values into the formula, we can calculate the centripetal acceleration:

ac = (v²) / r

ac = (0.942 m/s)² / 1.5 meters

ac ≈ 0.591 m/s²

Therefore, the numerical value of the centripetal acceleration is approximately 0.591 m/s².

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Answer:

the answer is option 1)

All the light in an agn outburst is emitted: a. at the same frequency.

An active galactic nucleus (AGN) is a compact area at the core of a galaxy with much higher-than-normal brightness throughout at least some section of the electromagnetic spectrum and features indicating that the luminosity is not created by stars. The non-stellar radiation emitted by an AGN is thought to be the product of matter accretion by a supermassive black hole at the heart of its host galaxy.

Active galactic nuclei are the most brilliant and enduring sources of electromagnetic radiation in the cosmos, and as such, they may be utilised to find faraway objects.

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a) the acceleration of the car = -2.75 m/s

b) d = 198 meters. Therefore, the squirrel would survive.

c) the car moving at 100 meters with a speed of 23.22m/s

What is acceleration ?

acceleration: the rate at which the speed and direction of a moving object 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.

Use the kinematic equation to solve for the acceleration:

v = u +at

v = final velocity

u = initial velocity

a = acceleration

t = time

In this instance, the final velocity is 0 because he comes to a stop. We can solve for the acceleration by plugging in the given values:

0 = 33 + (12)a

0 = 33 + 12a

-33 = 12a

-33 / 12 = a  --> a = -2.75 m/s²

b) Find the amount of distance necessary to stop. Use the formula:

v^2 = u^2 + 2ad

d = distance

Plug in the values:

0² = 33² + 2(-2.75 · d)

0 = 1089 - 5.5d

-1089 = -5.5d

d = 198 meters. Therefore, the squirrel would survive.

c)

Find the velocity at 100 meters by using the same formula as before:

v^2 = u^2 + 2ad

However, in this instance, we are solving for the final velocity. Plug in the given points to solve:

vf² = 33² + 2(-2.75 · 100)

vf² = 1089 + (-550)

vf² = 539

vf = √539

vf ≈ 23.22 m/s.

the car moving at 100 meters with a speed of 23.22m/s

a) the acceleration of the car = -2.75 m/s

b) d = 198 meters. Therefore, the squirrel would survive.

c) the car moving at 100 meters with a speed of 23.22m/s

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Answer:

Explanation:

Read forces directly from the graph.

Read displacements directly from the graph.

Use the area under the graph to find the work done by the force. This is equal to the kinetic or potential energy the object gains due to the application of the force.

\( \underline{ \bf{\underline{\large{Terminal \: Velocity}}}}\)

Answer:

37.5 N*m

Explanation:

w=fd

w=?

f=25 N

d=1.5 m

w=25N*1.5m=37.5 N*m

the work done on the object is 20000 J.

The conversion factor from horsepower to watts is 1 hp = 746 watts.

Therefore, the Ford Shelby GT 500's horsepower of 760 hp can be converted to watts as follows:

760 hp × 746 watts/hp = 567760 watts

To convert horsepower to watts, you simply need to multiply the number of horsepower by the conversion factor of 746 watts/hp.So, the numeric answer for 760 hp in watts is 567760.

According to the work-energy principle, the work done on an object is equal to the change in kinetic energy. Mathematically, the work-energy principle can be represented as follows:

W = ΔKHere, W represents the work done on the object, and ΔK represents the change in kinetic energy of the object.

The change in kinetic energy can be calculated using the following formula:

ΔK = (1/2)mvf² - (1/2)mvi²

Here, m represents the mass of the object, vi represents the initial velocity of the object, and vf represents the final velocity of the object. In this case, the object is initially at rest (vi = 0), so the formula can be simplified to

:ΔK = (1/2)mvf²

Now, we can use the following kinematic equation to calculate the final velocity of the object:

vf² = vi² + 2ax

Here, a represents the acceleration of the object, x represents the displacement of the object, and vi represents the initial velocity of the object. Plugging in the given values, we get:

vf² = 0 + 2(10 m/s²)(30 m - 10 m)vf² = 400 m²/s²vf = 20 m/s

Now, we can plug in the values of m and vf to calculate the change in kinetic energy:

ΔK = (1/2)(100 kg)(20 m/s)²ΔK = 20000 JSo, the numeric answer for the work done on the object is 20000 J.

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Answer:

All the above

Explanation:

Answer:

D. Electromagnetic

Explanation:

1. A vibrating electric charge creates an EM (electromagnetic) wave

2. Transmitting energy from Sun to the Earth would require crossing the vast emptiness of space, which is a vacuum (no medium to propagate longitudinal waves). Hence, this wave is transversal. EM waves are also transversal.

3. EM waves have both an electric and magnetic component, conventionally on the y and z axes, respectively.

4. The speed of this wave does decrease as the medium becomes denser. Take light for example. Light is also an EM wave and, although it does not need a medium to propagate, it still changes its speed depending on which medium it is passing.

Hence, the wave is electromagnetic

The gravitational attraction between two objects is reduced by a factor of 4 when the gap distance between them doubles and increases by a factor of 2.

Jumping in the air causes you to fall back to the earth due to Earth's gravity. Otherwise, you'd take off towards outer space. The Sun's strong gravitational pull keeps Earth in its orbit. The Sun's strong gravitational pull keeps Earth in its orbit.

All of the mass on Earth contributes to gravity. All of its mass exerts a cumulative gravitational force on your body's mass. You gain weight because of that. You would also weigh less if you lived on a planet with much less mass than Earth.

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The area on an entrance ramp where you increase speed to that of expressway traffic is the acceleration lane.

So the correct option is (D) that is acceleration lane.

A section or lane of adjustment for speed that has extra flooring on the borders of the lanes of traffic to let vehicles to accelerate until they merge with the flow of traffic.

Drivers must reach the posted speed limit before entering the acceleration lane, signal, locate a gap in traffic, and then merge.

Drivers can accelerate or decelerate in an area not being used by high-speed through traffic by using acceleration/deceleration lanes, also known as speed-change lanes or auxiliary lanes. The abrupt change in pace can result in stop-and-go traffic, crashes, and other problems on freeways and some major streets. These issues can be reduced by including acceleration/deceleration lanes in the roadway design.

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There are 0.506 grams in 0.02 moles of Mg

To find the grams of Mg in 0.02 mol, you can use the formula:

grams = moles × molar mass

In this case, moles = 0.02 mol, and the molar mass of Mg = 25.3 g/mol. Plug in the values:

grams = 0.02 mol × 25.3 g/mol

grams = 0.506 g

So, there are 0.506 grams of Mg in 0.02 mol.

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The greater the number of molecules in the gas, the greater the pressure of the gas. The smaller the volume of the gas, the greater the pressure of the gas.

A gas is a state of matter that is found under conditions of temperature and pressure. In order for a substance to exist in the gaseous state, it must have a temperature above its boiling point and a pressure below its critical pressure.

What is gas?

A gas is a state of matter that is found under conditions of temperature and pressure.

The gaseous state is distinguished from the other two states, solid and liquid, by its low density and high fluidity. It must have a temperature above its boiling point and a pressure below its critical pressure.

It is difficult to compress a gas because its molecules are not closely packed together; they are spaced far apart. It is difficult to liquefy a gas because its molecules are not closely packed together.

What is temperature?

Temperature is a measure of the degree of hotness or coldness of a substance. The higher the temperature, the greater the heat content of the substance.

Temperature is a measure of the average kinetic energy of the molecules in a substance. The faster the molecules are moving, the higher the temperature.

What is pressure?

Pressure is a measure of the force exerted by a gas on a given area. The pressure of a gas is directly proportional to its temperature and inversely proportional to its volume.

The pressure of a gas is determined by the number of molecules in the gas, the volume of the gas, and the temperature of the gas.

The higher the temperature, the greater the pressure of the gas. The greater the number of molecules in the gas, the greater the pressure of the gas. The smaller the volume of the gas, the greater the pressure of the gas.

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When a charged rod is brought near a neutral object like pith balls, it causes the electrons within the pith balls to move around. This creates a temporary separation of charges within the pith balls, with the end closest to the charged rod becoming oppositely charged to the other end. This attraction is due to the electrostatic force between opposite charges.

However, when the pith balls come into contact with the charged rod, some of the excess charge from the rod is transferred to the pith balls, causing them to become charged themselves. If the pith balls now have the same charge as the rod, they will be repelled due to the electrostatic force between like charges.

Therefore, the pith balls are initially attracted to the charged rod because of the temporary separation of charges within the pith balls. But once they come into contact with the charged rod and become charged themselves, they are repelled due to the like charges between the pith balls and the rod. It is important to note that the pith balls do not need to touch any other object to become charged, as the charged rod can transfer some of its charge to them upon contact.

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Explanation why a decrease in CFC emissions did not result in an immediate increase in the concentration of stratospheric ozone CFC (chlorofluorocarbon) is a stable chemical compound that remains in the atmosphere for a long period of time. Therefore, even if the production of CFC were to be stopped, the concentration of the compound in the atmosphere would continue to exist for years.

The halogenated chemicals that damage the ozone layer are known to have long atmospheric lifetimes; they remain in the atmosphere for several years to decades. Therefore, even if humans stopped producing all ozone-depleting chemicals tomorrow, the stratospheric ozone layer would continue to be affected for many years. Predicting how the levels of stratospheric ozone are expected to change in the coming decades CFCs (chlorofluorocarbons) are synthetic organic chemicals made of carbon, chlorine, and fluorine. They are used in various applications such as refrigeration, air conditioning, and aerosols. If current trends continue, CFC levels are expected to decrease in the coming decades, and stratospheric ozone concentrations are expected to increase.

However, other factors, such as climate change, can also impact the concentration of ozone in the stratosphere. Greenhouse gases such as CO2, CH4, and N2O emitted into the atmosphere as a result of human activities can increase temperatures in the troposphere and decrease temperatures in the stratosphere. The temperature drop in the stratosphere is a result of the greenhouse gases trapped in the atmosphere, which in turn increases the concentration of polar stratospheric clouds. These clouds can act as surfaces for chemical reactions, which deplete the ozone layer. As a result, even if CFC levels decrease, stratospheric ozone concentrations may not increase if these other factors are not addressed.

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Answer:

Centripetal force:

This force attracts an object at the center of its circular motion.

Gravitational force attracts the earth and all space bodies towards the sun, at the center of there orbit. So here, the centripetal force for all bodies is gravitational force.

When you start the fan, the tension force in the wings acts as Centeripetal force as the wings are not being flung out.

Note that this force changes it’s name in different Cinerios.

Centrifugal force:

This force acts as if it wants to throw an object from its circular path.

When you spin about your axis, your hands feel like they are being stretched out. This is centrifugal force.

When you spin a rock bounded by a string, you feel like the rock wants to be flung out from its circular path. This is centrifugle force. Here the tension in the string is centripetal force.

Note that this force is not an actual force, it is a pseudo force.

Explanation:

i hope that helps broski

According to Newton's law of cooling, The formula that models the cooling of the turkey is T(t) = (165 - 75) * e^(k * t) + 75. The temperature of the turkey 50 minutes after it leaves the oven will be approximately 118°F.

(a) The formula that models the cooling of the turkey is T(t) = (165 - 75) * e^(k * t) + 75.

In this case, the temperature difference between the turkey and the room, when it came out of the oven, is A = 165 - 75 = 90°F, and Ts (the temperature of the room) is 75°F. By substituting these values into the equation T(t) = A * e^(k * t) + Ts, we get T(t) = 90 * e^(k * t) + 75.

To find the value of k, we can use the information that when t = 30 minutes, T(30) = 145°F. Substituting these values into the equation and solving for k, we have 145 = 90 * e^(k * 30) + 75. Rearranging and solving, we find k ≈ -0.0207.

(b) The temperature of the turkey 50 minutes after it leaves the oven will be approximately 118°F.

To calculate the temperature at t = 50 minutes, we can use the formula T(t) = 90 * e^(-0.0207 * t) + 75. Substituting t = 50, we have T(50) = 90 * e^(-0.0207 * 50) + 75. Evaluating this expression, we find T(50) ≈ 118°F.

(c) It will take approximately 145 minutes for the turkey to cool to 110°F.

To determine the time it takes for the turkey to reach a temperature of 110°F, we can rearrange the equation T(t) = 90 * e^(-0.0207 * t) + 75 and solve for t. So, 110 = 90 * e^(-0.0207 * t) + 75. Solving this equation, we find t ≈ 145 minutes.

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The cost of using 50 W for one day or 24 hours is  dollar 0.12. The cost of using 800 W for 1 hour is 0.08 dollar.

Power is the rate of work done energy of  an object. Given that the cost of using 1 KWhr energy is dollar 0.10.

Then cost of using 50 W  or 0.05 KW in 24 hours is

0.05 × 24 ×  0.10  = 0.12 dollar

Cost of using 800 W or 0.08 KW per hour is 0.08 KWhr × 0.10 = dollar 0.08

Similarly, the cost of using 150 W in one month is find as follows:

150 W = 0.15 KW

energy used  = 0.15 × 30 × 24 hrs

cost = 0.15 × 30 × 24 hrs × 0.10 = dollar 10.8

The energy causing a cost of 2.5 dollar is 2.5/0.10 = 25 KWhr

power = 25 KWHr/24 hrs = 1.04 KW.

The energy causing a cost of 4 dollars is 4/0.10 = 40 KWhr

power =40 KWHr/24 hrs = 1.6 KW.

The energy causing the cost of 3 dollars  = 3/0.10 = 30 KWhr

then time = 30/100 W = 0.3 hr.

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The maximum torque on a flat current-carrying loop occurs when the angle between the plane of the loop's area and the magnetic field vector is 90 degrees.

When a current-carrying loop is placed in a magnetic field, a torque is exerted on the loop.

This torque is given by the formula τ = μ x B x sinθ,

where τ is the torque,

μ is the magnetic moment of the loop (equal to the product of the current and the area of the loop),

B is the magnetic field strength, and θ is the angle between the loop's area and the magnetic field vector.

To find the maximum torque, we need to maximize the value of sinθ.

The maximum value of sinθ is 1, which occurs when the angle θ is 90 degrees (sin90° = 1).

Therefore, the maximum torque on a flat current-carrying loop occurs when the angle between the plane of the loop's area and the magnetic field vector is 90 degrees.

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The maximum speed of the donkey is 10.72m/s

The question is based on the principle of motion in one dimension and hence formulas of motion in one dimension can be applied.

It is given that donkey attains an acceleration of 1.6 m/s^2

The time taken to accelerate  to given speed is 6.7 seconds

We use the formula v=u + at to find the fastest speed

v is the final or maximum speed

u is the initial speed which in this case is 0 as the donkey is at rest

a is the acceleration of the donkey

t is  the time taken in seconds

v = u + at

v= 0 + 1.6 x 6.7

 = 10.72 m/s

Hence the donkey obtains the speed of 10.72 m/s

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Answer:

1st: Radiation

2nd: Conduction

3rd: Convection

Explanation:

I actually learned this before in school. Yay

Answer:

F = 0 [N]

Explanation:

To solve this problem we must perform a summation of forces in the direction of the vertical axis. Where the positive force is that of the tension of the upward force, while the force exerted by the weight is directed downward with a negative sign.

ΣF = 0

15 - 15 + F = 0

F = 0 [N]

A) Minimum recommended spiral parameter: 150.03m.

b) Distance P: 150.03m.

c) Distance Q: 4.122m.

d) Angle Φs: 16°30'14.0".

e) Distance Tc: 150.03m.

a) Calculation for the minimum recommended spiral parameter:

Design radius (R) = 300 m

Maximum superelevation (e_max) = 0.06 m/m

Spiral Parameter (A) = (R + e_max) / 2

A = (300 m + 0.06 m/m) / 2

A ≈ 150.03 m

b) Calculation for the distance P:

Distance P is equal to the length of the first spiral curve, which is the same as the minimum recommended spiral parameter.

P ≈ 150.03 m

c) Calculation for the distance Q:

Distance Q represents the length of the circular curve. It is given by the formula:

Q = (Deflection angle at Point of Intersection) / (Degree of Curve, D)

Deflection angle at Point of Intersection = 16°30'14.0"

Converting the angle to decimal degrees:

16° + (30'/60) + (14.0"/3600) = 16.504°

Q = 16.504° / (360° / D)

Q ≈ D / 21.814

Since the RAU80 has 4 lanes, the degree of curve (D) is 360° / 4 = 90°.

Q ≈ 90° / 21.814

Q ≈ 4.122 m

d) Calculation for the angle Φs:

The angle Φs is the deflection angle at the Point of Intersection.

Φs = 16°30'14.0"

e) Calculation for the distance Tc:

Distance Tc is equal to the length of the second spiral curve, which is the same as the minimum recommended spiral parameter.

Tc ≈ 150.03 m

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