an excimer laser produces radiation at 157 nm, and optics with a numerical aperture of 1.4 is available. what is the smallest size of feature you could make in a resist? how might smaller final features be made in the underlying silicon with the same optics?

Answers

Answer 1

A 157 nm exim laser emits light, and 1.4 numerical aperture optics are provided. What would be the smallest feature you could create?

Radiation definition?

Electromagnetic waves or particles are emitted as energy. Radium, cosmic rays from space, medical x-rays, or energy released by a radioactive unstable version of a chemical substance that emits radiation because it begins to break down and becomes more unstable are a few common sources of radiation.

hazardous external risk. "Beta burns" can result from beta particles partially penetrating skin. Alpha rays cannot pass through healthy skin. A human can be penetrated by gamma and x-rays, which harm the cells in the path.

Describe cosmic rays?

They are energetic particles that travel through space at velocities close .

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Related Questions

I need help please!!

I need help please!!

Answers

Answer:

A , C , E

they are all multiples of 3

A force of 2 kN is applied to an object to make it move 3.6 m in the direction of the force. Select the correct value of work done on the object.
Answers to choose from:
1.8J
7200J
7.2J
555.6J

Answers

Answer:

W= F × d

W= 2kn × 3.6

W= 7.2 J

Work is measured in Joules!

Un cuerpo tiene una rapidez inicial de 5 m/s y una aceleración de 6 m/s2 . Calcular la rapidez y la distancia recorrida durante los primeros 9 segundos del movimiento. Resolver el ejercicio por medio de tablas y gráficas y luego resolverlo por medio de las fórmulas de movimiento. POR FAVOR AYUDAAAA... ES PARA MAÑANA ;-;

Answers

Encontramos que la distancia recorrida en los primeros 9 segundos es 288 metros.

Los datos dados son:

El cuerpo tiene una rapidez inicial de 5 m/s

El cuerpo tiene una aceleración de 6 m/s^2

Queremos calcular la distancia recorrida durante los primeros 9 segundos de movimiento.

Lamentablemente no contamos con los gráficos ni las tablas, así que se procede a obtener las ecuaciones de movimiento.

La aceleración será:

a(t) =  6m/s^2

Para la ecuación de la velocidad tenemos que integrar la ecuación de arriba, obteniendo:

v(t) = (6m/s^2)*t  + v0

Donde v0 es la rapidez inicial, que conocemos es igual a 5 m/s, así tenemos:

v(t) = (6m/s^2)*t  + 5m/s

Para la ecuación de la posición debemos integrar nuevamente, así obtendremos:

p(t) = (1/2)*(6m/s^2)*t^2  + (5m/s)*t + p0

Donde la p0 es la posición inicial, la cual podemos definir como p0 = 0m

p(t) = (3m/s^2)*t^2  + (5m/s)*t

Para encontrar la distancia recorrida en los primeros 9 segundos, simplemente debemos remplazar t por 9s en la ecuación de posición:

p(9s) =  (3m/s^2)*(9s)^2  + (5m/s)*9s = 288 m

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A 1,000 kg car experiences a net force of 3,500N from its engine.

Answers

Answer:Magnitude of the car's acceleration is 3.5 m/s²

Given:

Mass of car = 1,000 kg

Net force applied by car = 3,500 N

Find:

Magnitude of the car's acceleration

Computation:

Net force = Mass × Acceleration

So,

3,500 = 1,000 × Acceleration

Acceleration = 3,500 / 1,000

Acceleration = 3.5 m/s²

Explanation:Learn more:

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a 0.364 kg toy car is powered by one 9v battery (9.00 v) connected directly to a small dc motor. the car has an effective energy conversion efficiency of 47.1%, meaning that 47.1% of the electric energy applied to the motor is converted into translational kinetic energy. after 6.42 s, the car, which is initially at rest, reaches a speed of 2.35 m/s. what is the average current supplied to the car's motor?

Answers

The average current supplied to the car's motor is 0.036 A.

To find the average current supplied to the car's motor, we need to use the equation for the electrical power supplied to the motor, which is given by

P = IV

where P is the electrical power, I is the current, and V is the voltage. We can rearrange this equation to solve for the current

I = P/V

The electrical power supplied to the motor is the product of the battery voltage and the current, or

P = IV

We know the battery voltage is 9.00 V, and we can calculate the total energy used to accelerate the car from rest to its final speed using the work-energy principle

W = (1/2)mv^2

where W is the work done on the car, m is the mass of the car, and v is the final speed of the car.

Plugging in the given values, we have

W = (1/2)(0.364 kg)(2.35 m/s)^2 = 0.980 J

The effective energy conversion efficiency is 47.1%, meaning that only 47.1% of the electrical energy supplied to the motor is converted into kinetic energy of the car. Therefore, the total electrical energy supplied to the motor is

E = W / (efficiency) = 0.980 J / 0.471 = 2.08 J

The time interval over which the energy is supplied is 6.42 s. Therefore, the average power supplied to the motor is

P = E / t = 2.08 J / 6.42 s = 0.324 W

Finally, we can use the equation for the average current

I = P / V = 0.324 W / 9.00 V = 0.036 A

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What are the three components of the equation for the second law of motion?

Answers

force= mass × acceleration

When the crest of one wave passes through the trough of another wave, ____ takes place. A. resonance B. diffraction C. constructive interference D. destructive interference

Answers

A. resonance hope this helps

When the crest of one wave passes through the trough of another wave, destructive interference takes place.

What is the crest of a wavelength?

The crest and trough of a wave, respectively, are its highest and lowest surface portions. The wave height is the vertical distance between the peak and trough. The wavelength is the horizontal separation between two consecutive crests or troughs.

When the crest of one wave passes through the trough of another wave, interference takes place.

This interference can be constructive, where the amplitudes of the waves add up, resulting in a larger wave, or destructive, where the amplitudes of the waves cancel out, resulting in a smaller wave or no wave at all.

The type of interference that occurs depends on the relative amplitudes, wavelengths, and phases of the two waves.

Therefore, destructive interference takes place when the crest of one wave passes through the trough of another wave.

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what is the difference between copernicus and kepler description of planetary orbits?

Answers

Answer:

Kepler refined the Copernican model. Orbits are not circles along which planets move at a constant speed, but ellipses, in the central focus of which is the Sun. The planet moves in an ellipse with a variable speed depending on the distance to the Sun. On this basis, Kepler significantly simplified the Copernican model and formulated the laws of planetary motion in their orbits.

A.149 kg baseball moving at 17.7 m/s is caught by a 57 kg catcher at rest on an ice skating rink, wearing

frictionless skates. With what speed does the catcher slide on the ice?

Do NOT put in units or it will be marked wrong! The answer's value only! Please round each answer to 3 places.

MaVa + MbVb = (Ma+b)(Va+b)

Answers

Answer:

v = 12.8 m/s

Explanation:

Applying the law of conservation of energy:

\(m_1u_1+m_2u_2=m_1v_1+m_2v_2\)

where,

m₁ = mass of baseball = 149 kg

m₂ = mass of catcher = 57 kg

u₁ = initial speed of ball = 17.7 m/s

u₂ = initial speed of catcher = 0 m/s

v₁ = v₂ = v = final speed of ball and the final speed of catcher = ?

both are same because ball is in hands of cathcer in the final state.

Therefore,

\((149\ kg)(17.7\ m/s)+(57\ kg)(0\ m/s)=(149\ kg)(v)+(57\ kg)(v)\\\\v = \frac{2637.3\ kgm/s}{206\ kg}\)

v = 12.8 m/s

The velocity V of sound in air at temperature T is given by v=20.04√T, where T is measured in kelvin (K.) and V is in m/s. Assume that t = 300 ± 0.4 k. A. Estimate V
B. find the uncertainty in the estimate.

Answers

Therefore, the uncertainty in the estimate of the sound velocity in the air at T = 300 ± 0.4 K is approximately ±0.232 m/s.  A. To estimate Velocity.

We can substitute T = 300 K into the given equation: v = 20.04√T; v = 20.04√300. v ≈ 346.54 m/s

Therefore, the estimated velocity of sound in air at T = 300 K is approximately 346.54 m/s. B. To find the uncertainty in the estimate, we can use the formula for propagation of uncertainties: Δv = |∂v/∂T| ΔT. where Δv is the uncertainty in v, ΔT is the uncertainty in T, and |∂v/∂T| is the absolute value of the partial derivative of v with respect to T. Taking the partial derivative of the given equation: ∂v/∂T = 20.04/(2√T)

Substituting T = 300 K: ∂v/∂T = 20.04/(2√300) ≈ 0.5792 m/(s·K)

Substituting the given uncertainty ΔT = 0.4 K:

Δv = |∂v/∂T| ΔT

Δv = 0.5792 × 0.4

Δv ≈ 0.232 m/s

Therefore, the uncertainty in the estimate of the velocity of sound in air at T = 300 ± 0.4 K is approximately ±0.232 m/s.

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PLEASE HELP!!
Suppose an ostrich runs 1.5 km at a speed of 58 km/h and then runs another 1.5 km at a speed of 29 km/h. What is the ostrich’s average speed during the 3.0 km run? (Hint: find the total time first by finding the time of each 1.5 km segment)

Answers

Answer: 38.46 km/h

Distance 1= 1.5km
Distance 2= 1.5km
Speed 1= 58km/h
Speed2= 29km/h
S= Distance/time= 58=1.5/t
t=1.5/58=0.026
t=1.5/29=0.052
Average Speed= Total Distance/Total time= 3/0.026+0.052= 38.46 km/h

The ostrich's average speed during the 3.0 km run is approximately 38.65 km/h.

The average speed of the ostrich during the entire 3.0 km run, we need to calculate  the total time taken for both segments and then divide the total distance by the total time.

Calculate the time for each segment:

Time taken for the first 1.5 km segment at 58 km/h:

Time = Distance / Speed

= 1.5 km / 58 km/h

≈ 0.02586 hours

Time taken for the second 1.5 km segment at 29 km/h:

Time = Distance / Speed

= 1.5 km / 29 km/h

≈ 0.05172 hours

Calculate the total time:

Total Time = Time for the first segment + Time for the second segment

Total Time ≈ 0.02586 hours + 0.05172 hours

≈ 0.07758 hours

Calculate the average speed:

Average Speed = Total Distance / Total Time

Average Speed = 3.0 km / 0.07758 hours

≈ 38.65 km/h

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In the figure above, the distance between charges A and B and the distance between charges B and C are both 7.50 cm.


If A = 2.50 nC, B = 1.00 nC, and C = -17.5 nC, what is the net electric force on A?

Answers

The electrostatic force on A by B is 3.9 × 10⁻⁵ N and the force from C is -1.9× 10⁻⁵ N. Then the net electric  force acting on A is 5.8 × 10⁻⁵ N.

What is Coulomb's law ?

According to Coulomb's law of force, the electrostatic force between two charges separated by a distance of r is given as follows:

Fc = Ke q1 q2 /r²

where Ke = 8.9 × 10⁹ Nm²/C²

Given the charge of  A = 2.5 × 10⁻⁹ C

charge of B = 1 × 10⁻⁹ C

distance r = 7.50 cm = 0.075 m

then Fc =  8.9 × 10⁹ Nm²/C²  (2.5 × 10⁻⁹ C ) (1 × 10⁻⁹ C)/(0.075 m)² = 3.9 × 10⁻⁵ N

Similarly, the force on A by the charge C is calculated as follows:

distance to C = 0.075 m + 0.075 = 0.15 m

charge of C = - 17.5 × 10⁻⁹ C.

Then Fc =   8.9 × 10⁹ Nm²/C²  (2.5 × 10⁻⁹ C ) (-17.5× 10⁻⁹ C)/(0.075 m)² = - 1.9 × 10⁻⁵ N

The net electric force acting on A =  3.9 × 10⁻⁵ N - (-1.9 × 10⁻⁵ N) = 5.8 × 10⁻⁵ N.

Therefore, the net electric force acting on A is  5.8 × 10⁻⁵ N.

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How do pressure and temperature change inside Earth as depth increases? A. Pressure and temperature decrease. B. Pressure increases; temperature decreases. C. Pressure decreases; temperature increases. D. Pressure and temperature increase.

Answers

The pressure inside the Earth increases as depth increases; The temperature drops. Here option B is the correct answer.

As depth increases, the weight of the overlying rock and soil increases, causing an increase in pressure. Additionally, the temperature inside the Earth increases with depth due to the heat generated by the radioactive decay of elements in the Earth's crust.

However, the rate of temperature increase with depth is not as steep as the rate of pressure increase, so the temperature will decrease as the depth increases.

The geothermal gradient is the pace at which Earth's temperature increases with depth. It suggests that the Earth's surface is receiving heat from the planet's heated center. For every kilometer of depth, the temperature rises by around 25°C on average.

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How much net force in Newtons would it take to accelerate a 200 kg object to 10 m/s2 ?



Answer:

must show your work please haelp this is for one of my major grades

Answers

Answer:

2000 N

Explanation:

Hi there !

Newton's second law

F = m×a

= 200kg×10m/s²

= 2000kg×m/s²

1kg×m/s² = 1 N

= 2000 N

Good luck !

1. A car starts from the rest on a circular track with a radius of 300 m. It accelerates with a constant tangential acceleration of a = 0.75 m/s?. Determine the distance traveled and the time elapsed"

Answers

Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.

To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.

The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).

Using the equation:

v = v₀ + at

where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:

v = 0 + (0.75 m/s²) * t

v = 0.75t m/s

The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:

v = ωr

Substituting the values:

0.75t = ω * 300

Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:

ω = ω₀ + αt

ω = 0 + (0.75 m/s²) * t

ω = 0.75t rad/s

We can now substitute the value of ω into the equation:

0.75t = (0.75t) * 300

Simplifying the equation gives:

0.75t = 225t

t = 0.75 seconds

The time elapsed is 0.75 seconds.

To calculate the distance traveled (s), we can use the equation:

s = v₀t + (1/2)at²

Since the initial velocity (v₀) is zero, the equation becomes:

s = (1/2)at²

s = (1/2)(0.75 m/s²)(0.75 s)²

s = (1/2)(0.75 m/s²)(0.5625 s²)

s = 0.2119 meters or approximately 21.19 centimeters

Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.

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What natural process is responsible for the shape of the mushroom rock?
(PLEASE HELP ME!!!!!)

Answers

Answer:

A mushroom rock, rock pedestal, or gour is a typical mushroom-shaped landform that is formed by the action of wind erosion. ... In some cases, harder rocks are arranged horizontally over a softer rock, resulting in such erosion.

Explanation:

Answer:

wind erosion

Explanation:

in a ________ fault, the hanging wall block moves up with respect to the footwall block.
.A) normal B) strike slip C) reverse D) abnormal

Answers

In a Reverse fault, the hanging wall block moves up with respect to the footwall block.

What is Reverse fault?

Reverse fault is a type of fault in which two blocks of earth's crust move away from each other, resulting in the upper block of crust being pushed up above the lower block. It is the opposite of a normal fault, in which two blocks of crust move towards each other. The reverse fault typically occurs when the Earth’s tectonic plates come together and a compressional force pushes up and over the lower plate. This type of fault is usually seen in regions of convergence between two plates and is common along convergent plate boundaries. The reverse fault is usually accompanied by large earthquakes as the plates move against each other. The reverse fault can also be caused by the bending of the Earth’s crust in response to forces such as erosion, volcanic activity and sedimentation. These forces can cause the crust to buckle and rise, resulting in a reverse fault.

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A space probe recovered an 8.5-kg sample of rocks from the surface of Mars. The acceleration due to gravity on Mars is 3.7 meters per second squared. What is the weight of the sample of rocks on the surface of the earth?

Answers

Answer: 31N

Explanation:F = m x a

F = 8.5 x 3.7

F = 31.45

F = 31 (rounded)

F = 31 N

Water is to a river as ____________ is to a wire

Answers

Answer:current

Explanation:water flows down a river. Current flows down a wire (in the drude model, at least)

Answer:

electricity

Explanation:

What quantum numbers can apply to electrons in s orbitals.

Answers

An electron in an s orbital can be identified by these four quantum numbers, which specify its location, orientation, and spin.

The four quantum numbers that can apply to electrons in s orbitals are:

1. Principal quantum number (n): The principal quantum number (n) represents the principal energy level of the electron and describes the size and energy of the electron’s orbital.

An s orbital is a subshell with a value of 0 for the second quantum number (l).

2. Azimuthal quantum number (l): For an s orbital, the azimuthal quantum number (l) has a value of 0. It identifies the type of orbital an electron occupies.

3. Magnetic quantum number (ml):

The magnetic quantum number (ml) specifies the orientation of the electron’s orbital around the nucleus.

For an s orbital, the value of ml is 0.4. Spin quantum number (ms): The spin quantum number (ms) indicates the spin of the electron.

The two possible values of the spin quantum number are +½ and -½.

The electron spin is denoted by an arrow pointing up or down, and it is represented by the letter m in the Schrödinger equation.

An electron in an s orbital can be identified by these four quantum numbers, which specify its location, orientation, and spin.

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The following well is to be equipped with a surface choke operating in critical flow. Determine the well's producing capacity and the choke size required for the following conditions
o No choke
o Choke at wellhead
o Choke at separator

Well depth = 10,000ft
Tubing Size = 1.995 inch
Pr = 3000psia
fw =0
C=0.0023STB/ day-psi
Flowline length =5,000ft
Flowline Size =2 inch
GLR=500scf/STB
P sep =100psig
n=0.85
For the given well, the pressure gradient in the well and tubing are expresses by the following two equations
Tubing: P wh =0.9Pwf−0.95Q−100
Flowline: P sep = P wh q −0.35Q+2.5

Answers

To determine the well's producing capacity and the required choke size, we need to analyze three scenarios: no choke, choke at the wellhead, and choke at the separator.

In the case of no choke, the well is unrestricted, and the pressure at the wellhead (Pwh) is equal to the flowing bottomhole pressure (Pwf). We can use the Tubing equation to calculate the producing capacity:

Pwh = 0.9Pwf - 0.95Q - 100

For the choke at the wellhead, we need to consider the critical flow condition. This means that the pressure at the wellhead is determined by the flow rate (Q) and the choke size (nozzle diameter). By rearranging the Tubing equation, we can solve for the required choke size:

Nozzle diameter = (0.9Pwf - Pwh - 100) / 0.95

For the choke at the separator, we use the Flowline equation to determine the well's producing capacity. Rearranging the equation, we find:

Pwh = (Psep + 0.35Q - 2.5) / q

Now, we can substitute the values for the given conditions (well depth, tubing size, Pr, fw, C, flowline length, flowline size, GLR, Psep, and n) into these equations to calculate the producing capacity and the required choke size for each scenario.

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CORRECT ANSWER GETS BRAINLIEST!!! (∩^o^)⊃━☆
Each of these simple machines work around a pivot point except the __________.
a.
lever
c.
wedge
b.
pulley
d.
wheel and axle

Answers

Answer:

C. Wedge

Explanation:

Answer:

GIVE THE PERSON ABOVE BRAINLIEST UwU

Explanation:

Silver, copper and
iron wires of equal
dimensions are
connected in parallel
in the circuit. Which
wire has the
strongest
electric
current?

Please I need your help ​

Answers

Answer:

the answer would be strongest because just took this question

Explanation:

The current in a 20.0-mH inductor changes with time as i = 4.00t2 − 7.00t, where i is in amperes and t is in seconds.
(a) Find the magnitude of the induced emf at t = 1.00 s.
mV
(b) Find the magnitude of the induced emf at t = 4.00 s.
mV
(c) At what time is the emf zero?

Answers

(a) Magnitude of the induced emf at t = 1.00 s is 12 mV. b The magnitude of the induced  - 112 mV(c) , c The emf zero at t = 0.875 seconds.

a The emf induced in an inductor is given as e = -L (di/dt)Where, L = Inductance di/dt = Rate of change of currentFrom the given equation, we have i = 4t² - 7t When t = 1.00 s, we have i = 4 (1.00)² - 7 (1.00)= -3.00 AAt t = 1.00 s, di/dt = d/dt [4t² - 7t] = 8t - 7= 1 s-1

Therefore, the induced emf is e = -L (di/dt)=- 20 mH × 1 s-1× (- 3.00 A)= 60 mV(b)

b The magnitude of the induced emf at t = 4.00 s is 112 mV.Using the same formula, at t = 4.00 s, i = 4 (4.00)² - 7 (4.00)= 25.00 AAt t = 4.00 s, di/dt = d/dt [4t² - 7t] = 8t - 7= 25 s-1Therefore, the induced emf is e = -L (di/dt)=- 20 mH × 25 s-1× (25.00 A)= - 112 mV(c)

c. At what time is the emf zero?The induced emf is zero when the rate of change of current is zero. So, we need to find the time t such that di/dt = 0. 8t - 7 = 0 => t = 7/8 s. Therefore, the emf is zero at t = 0.875 seconds.

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In an early spring, the warm sunshine melts snow on a sidewalk. A puddle of liquid water forms. How do the water particles change as the snow melts into liquid water?

Answers

In early spring the warm sunshine melts the snow on the sidewalk. How are the water particles changed as the snow melts into liquid water? ... Water starts to boil in a pan.

THEY SPREAD FARTHER APART

10.a wheel with radius 0.33 m and rotational
inertia 2.0 kg.m2 spins on an axle with an
initial angular speed of 3.0 rad/s. friction in
the axle exerts a torque on the wheel,
causing the wheel to stop after 6.0 s. the
average torque exerted on the wheel as it
slows down has magnitude

Answers

The average torque exerted on the wheel as it slows down has magnitude of 1.0 Nm

The rotational kinetic energy equation relates the rotational kinetic energy of an object to its moment of inertia and angular velocity. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. We are given the radius of the wheel, its moment of inertia, and its initial angular speed.

We are also told that the wheel stops rotating after 6 seconds due to friction in the axle, which exerts a torque on the wheel. Using the rotational kinetic energy equation, we can calculate the initial rotational kinetic energy of the wheel. We can then use the work-energy theorem to find the work done by the frictional torque, which is equal to the change in the wheel's rotational kinetic energy.

Rotational inertia(I) = 2 kg m²

Radius (r) = 0.33 m

Initial angular speed W0 = 3 rad/s

time to stop (t) = 6 s

Angular acc. (α) = ?

We know that,

W = W₀ + at

0 = 3 - a × 6

a = 3/6

a = 1/2 rad/s²

   Average Torque = I*α

      Torque = 2 * 1/2 Nm

      Torque = 1 Nm

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Study the scenario. The particles in some system are moving around quickly. A few minutes later, the particles are moving, on average, more slowly. How does this change in motion affect the temperature of the system? A. The temperature of the system did not change. The speed of the particles has no effect on the temperature, only the type of atom affects the temperature. B. The temperature of the system is higher now than it was initially. Slower moving particles result in a higher temperature for the system. C. The temperature of the system did not change. The speed of the particles does not affect temperature, the number of particles affects the temperature. D. The temperature of the system is lower now than it was initially. Faster moving particles result in a higher temperature for the system.

Answers

Answer:

The correct answer is option D.

Explanation:

With an increase in temperature, the particles increase kinetic energy and move quicker. The normal speed of the particles relies upon their mass just as the temperature – heavier particles move more gradually than lighter ones at a similar temperature.

The temperature increase in this system since the average kinetic energy of the particles increases and particles move quickly. And after some time the temperature of the system is lower now than it was initially.

Thus, the correct answer is option D.

The impact of the change in motion should be option D.

Impact on the temperature:

In the case when there is an increase in temperature, the particles should increase kinetic energy and move faster. The normal speed of the particles believes their mass is like the temperature. The temperature rises in this system because the average kinetic energy of the particles should rised and particles move faster.

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A block of wood is pushed against a relaxed spring to compress it 0.080 m. The spring constant of the spring is . Calculate the work W done by the block on the sprin

Answers

To calculate the work done by the block on the spring, we can use the formula:

W = (1/2) k x²

where W is the work done, k is the spring constant, and x is the displacement of the spring from its relaxed position.

In this case, we are given that the spring is compressed by 0.080 m,

so x = 0.080 m. We are also given the spring constant,

which we will assume is given in units of N/m.

Let's call the spring constant k.

Plugging in these values into the formula, we get:

W = (1/2) k x²

W = (1/2) (k) (0.080 m)²

W = 0.000256 k J

So the work done by the block on the spring is equal to 0.000256 times the spring constant, in units of joules.

Note that the work done by the block on the spring is equal in magnitude but opposite in sign to the work done by the spring on the block.

This is because the work-energy principle tells us that the net work done on an object is equal to its change in kinetic energy. In this case, the block is initially at rest, so its initial kinetic energy is zero.

Therefore, the work done by the block on the spring is equal in magnitude but opposite in sign to the work done by the spring on the block, which causes the block to gain potential energy in the spring.

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When a block on a spring is compressed, the work done is calculated using the formula W = (1/2) kx2.

How to calculate the work W done by the block on the spring?

The work done W by the block on the spring can be calculated using the formula:

W = (1/2) kx^2

where k is the spring-constant, where x is the displacement of the spring from its given equilibrium-position.

Given that the spring is compressed 0.080 m and the spring-constant k is,

we can calculate the work done as follows:

W = (1/2) kx^2

W = (1/2)( )(0.080)^2

W = 0.08 J

Therefore, the work done by the block on the spring is 0.08 J.

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x= -2y-6 and 6x+7y=9​

Answers

plug the equation equal to x in for the 2nd equation and it will be
6(-2y-6)+7y=9
múltiple 6 to the equation in the parenthesis
-12y-36+7y=9
add -12 and 7
-36-5y=9
add 36 to the other side
-5y=45
divide by -5
y=-9
Y equals negative nine!

a mouse in a maze scurries 41 cm south and then takes a 90-degree turn and scurries 64 cm west to get a piece of cheese. find the mouse's displacement.

Answers

Answer:

76 cm southwest

Explanation:

The displacement of the mouse is 76.01 cm along south-west at an angle 57.35° with south direction.

What is displacement?

In mechanics, displacement refers to the distance that a particle or body moves in a particular direction. Generally, point masses are used to describe particles and bodies. This means that, without sacrificing generality, bodies can be thought of as having all of their mass concentrated in a single mathematical point.

The mouse  scurries 41 cm south and then  takes a 90-degree turn and scurries 64 cm west.

Hence, magnitude of resultant displacement = √( 41² + 64²) cm = 76.01 cm.

The direction of displacement is along south-west with an angle with south direction= tan⁻¹(64/41) = 57.35°.

Hence, the displacement of the mouse is 76.01 cm along  south-west at an angle 57.35° with south direction.

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