What is the capacitance of two square parallel plates 26.4cm on a side that are separated by 14.1 mm of paraffin (K=2.2)?

The extension of the spring with a force of 2.0N and an extension of 0.30m, if the force applied is 6 N is 0.9 m

F = - k x

F = Force

k = Spring constant

x = Displacement

For 2 N force,

F = 2 N

x = 0.3 m

k = - F / x

k = - 2 / 0.3

k = - 6.67 N / m

For 6 N force,

F = 6 N

x = - F / k

x = - 6 / - 6.67

x = 0.9 m

Therefore, the extension of the spring is 0.9 m

To know more about spring force

https://brainly.com/question/20785296

#SPJ1

Answer:

-6500N

Explanation:

F = ma

Note:  1N = 1 kg⋅m⋅s−2

a = (0-6.5m/s)/3s

a = -6.5m/s^2

F = 1000kg(-6.5m/s^2)

F = -6500kgm/s^2

F = -6500 N

(1) sin 40° = n(sin 200⁰).

1. A ray of light traveling from air into crown glass strikes the surface at an angle of 30°.

We can often use Snell's Law to help us find the index of refraction of a refractive medium.

In this question, we're given the following:

Since we know we're solving for the index of refraction of the second medium, isolate \(n_2\) in Snell's Law:

\(\dfrac{n_1}{n_2}=\dfrac{\sin(\theta_2)}{\sin(\theta_1)}\\\\\\\dfrac{n_2}{n_1}=\dfrac{\sin(\theta_1)}{\sin(\theta_2)}\\\\\\n_2=\dfrac{\sin(\theta_1)}{\sin(\theta_2)}*n_1\)

Plug in all the information we know and find \(n_2\):

\(n_2=\dfrac{\sin(40^\circ)}{\sin(29^\circ)}*1.0003\\\\\\n_2\approx1.3263\)

Therefore, the index of refraction of the refractive medium is approximately 1.3263.

Its horizontal acceleration is equal to -g, and its horizontal component of velocity is unchanged.

Projectile motion is the movement of an object that has been launched into the air when air resistance is minimal and gravity is the only other force the object meets after being launched.

When air resistance is minimal, the horizontal component of velocity is unaffected; the vertical component, however, is affected by GRAVITY. Without changing the airflow, the velocity in the X direction remains constant.

To know more about acceleration visit:-

https://brainly.com/question/12550364

#SPJ4

To convert the ideal-gas equation to relate Ppsig, Vft³, nlb-mole, and T°F and the total amount of gas is calculated by converting the moles of CO and N to lb-mole and to estimate the temperature needed to increase the gas pressure to 3000 psig, Convert the obtained temperature in K to °F.

The equation relating P (psig), V (ft³), n (lb-mole), and T* (°F) is:

P = 14.7 * P(atm), V = 28.3168 * V(L), n

= 2.20462 * n(mol), and T*

= (9/5) * T(K) - 459.67 and to calculate the total amount of gas in lb-mole, multiply the number of moles of CO by its molar mass and convert to lb-mole and to estimate the temperature in °F required to increase the gas pressure to 3000 psig.

(a) To convert the equation, we need to apply the following conversions:
- To convert P from atm to psig, multiply by 14.7 (since 1 atm = 14.7 psig).
- To convert V from liters to ft³, multiply by 28.3168 (since 1 liter = 0.0353 ft³).
- To convert n from mol to lb-mole, multiply by 2.20462 (since 1 mol = 2.20462 lb-mole).
- To convert T from K to °F, use the conversion formula:

T* = (9/5) * T(K) - 459.67.

(b) To calculate the total amount of gas in lb-mole, multiply the number of moles of CO by its molar mass (using the periodic table) and convert to lb-mole by multiplying by the molar mass of CO (28.01 lb/lb-mol). To calculate the mass of CO in lb, multiply the number of moles of CO by its molar mass (28.01 g/mol) and convert to lb by dividing by 453.59237 g/lb.

(c) To estimate the temperature in °F required to increase the gas pressure to 3000 psig, rearrange the ideal gas equation to solve for T*. Substitute the known values: P = 3000 psig (pressure limit), V = 3.5 ft³ (volume), n = 30.0 mole (number of moles), and solve for T*. Note that this estimate may not be accurate at high pressures.

To more about pressure visit:

https://brainly.com/question/32099691

#SPJ11

Answer:

a on edge

Explanation:

Due to conservation of linear momentum, initial velocity of Sarah was 6.2 m/s in the opposite direction

This state that the sum of momentum before collision is equal to the sum of momentum after collision.

Given that Janet is skating at the ice rink with her little sister Sarah. While moving at 7 m/s, Janet collides head-on into Sarah. Janet continues forward at 2 m/s, while Sarah is thrown backward at 3 m/S. That is, they both move in the same direction after collision. Janet's mass is 59 kg and Sarah's mass is 32 kg.

Let Janet take position 1 and Sarah position 2

The given parameters are;

This is head on collision

M1U1 - M2U2 = M1V1 + M2V2

Substitute all the parameters into the formula

59 × 7 - 32U2 = 59 × 2 + 32 × 3

413 - 32U2 = 118 + 96

413 - 32U2 = 214

- 32U2 = 214 - 413

-32U2 = -199

U2 = 199 / 32

U2 = 6.22 m/s

Therefore, Sarah was moving with initial speed of 6.22 m/s.

Learn more about Momentum here: https://brainly.com/question/7538238

#SPJ1

The speed of the cat when it slide off the table is 2.27 m/s

To obtain the answer to the given question, we'll begin by obtainig the time taken for the cat to strike the floor. This can be obtained as follow:

h = ½gt²

0.94 = ½ × 9.81 × t²

0.94 = 4.905 × t²

Divide both side by 4.905

t² = 0.94 / 4.905

Take the square root of both side

t = √(0.94 / 4.905)

t = 0.44 s

The speed of the cat can be obatined as illustrated below:

s = ut

1 = u × 0.44

Divide both sides by 0.44

u = 1 / 0.44

u = 2.27 m/s

Thus, we can conclude that the speed of the cat is 2.27 m/s

Learn more about motion under gravity:

https://brainly.com/question/22719691

#SPJ1

The female whale is approximately 3,000 meters away from the male whale.

To calculate the distance between the male and female blue whales, we can use the formula:

Distance = (Speed of sound in water × Time) / 2

Given that the speed of sound in water is approximately 1,500 m/s and the time taken for the sound to return is 4 seconds, we can substitute these values into the formula:

Distance = (1,500 m/s × 4 s) / 2

Simplifying the equation:

Distance = (6,000 m) / 2

Distance = 3,000 m

For more such questions on whale,click on

https://brainly.com/question/19852583

#SPJ8

Answer:

c 0.10

Explanation:

V=IR

12.0V=I x 120.12ohms

I=0.099

I= 0.10

Answer:

Explanation:

Energy in a Pendulum

In a simple pendulum with no friction, mechanical energy is conserved.  Total mechanical energy is a combination of kinetic energy and gravitational potential energy.   As the pendulum swings back and forth, there is a constant exchange between kinetic energy and gravitational potential energy.

Potential Energy

The potential energy of the pendulum can be modeled off of the basic equation

PE = mgh

where g is the acceleration due to gravity and h is the height.  We often use this equation to model objects in free fall.

However, the pendulum is constrained by the rod or string and is not in free fall.  Thus we must express the height in terms of θ, the angle and L, the length of the pendulum.   Thus h = L(1 – COS θ)

The force pushing the cart in the forward direction is 43.7 N.

The component of force pushing the cart against the floor is 31.74 N.

The force pushing the cart in the forward direction or the horizontal component of the force is calculated as follows;

Fₓ = F cosθ

where;

Fₓ = 54 x cos(36)

Fₓ = 43.7 N

The component of force pushing the cart against the floor is the vertical component of the force and it is calculated as;

Fy = F sinθ

Fy = 54 x sin(36)

Fy = 31.74 N

Learn more about component forces here: https://brainly.com/question/25239010

#SPJ1

The cocoa powder dissolves very quickly when she adds it to hot water as compared to cold water because The hot temperature and color of the powder increase the rate of dissolving.

When she adds cocoa powder to hot water as opposed to cold water with little stirring, she observes that the cocoa powder dissolves significantly more quickly. What causes this, in your opinion? 1) Cocoa powder functions in the water as a solute. 2) It melted as a result of the heat since hot water causes cocoa powder to dissolve more quickly when heated.

The rate of dissolving is very fast because the temperature of the warm water is high. Therefore the kinetic energy of water molecules high. So the molecules moves fast. Therefore the rate of dissolving increases.

For more learn about cocoa powder see the link

https://brainly.com/question/1588053

#SPJ1

Hi there!

We can use the following equation to relate angular velocity to linear velocity.

\(v = \omega r\)

v = linear velocity (m/s)

ω = angular velocity (3.46 rad/sec)

r = distance from axis of rotation (.12 m)

Plug in the given values.

\(v = (3.46)(.12) = \boxed{.415 \frac{m}{s}}\)

The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm is true. A vibration sensor is a system that is used to identify the condition of machinery and prevent it from being harmed. It keeps track of vibrations in the machinery and sends an alert if it exceeds a set threshold.

A sensor that detects vibrations in the environment or within a physical structure is known as a vibration sensor. Vibration sensors are commonly utilized in the maintenance of rotating equipment like pumps, motors, and other machinery to predict failure before it happens.

Based on the vibration being observed, these sensors may detect a range of defects, from unbalance and misalignment to bearing wear and looseness.

The outside diameter or side dimension of the vibrating element must be at least 19 mm but not greater than 38 mm. Hence, the given statement is true. This size range is important for the sensor to be able to pick up on the machinery's small vibrations and changes.

Anything smaller than 19 mm will not detect vibrations with the same precision, and anything larger than 38 mm will be more difficult to install in tight locations.

Learn more about vibration sensor here ;

https://brainly.com/question/29849485

#SPJ11

To calculate T2, p2, and up behind the shock wave, we can use the equations and the normal shock table provided. substitute into the equations to calculate T2, p2, and up.

To obtain the values for T2, p2, and up for this problem using Table A.2, you would need to refer to the table yourself. Table A.2 typically provides the properties behind a normal shock wave for different Mach numbers, including the pressure ratio (p2/p1), temperature ratio (T2/T1), and velocity ratio (up/a).You can look up the specific Mach number M1 (determined using the given velocity ahead of the shock and the speed of sound) in the table to find the corresponding values for T2/T1, p2/p1, and up/a.

To know more about Mach visit :

https://brainly.com/question/29538118

#SPJ11

Answer:

changing the force to point right is the correct answer :)

The direction of the force acting on the field should be changed to point towards the right.

An electric field is referred to as the region where the influence of charge is felt. Thus, the force acts in the direction of the electric field when the field is uniform.

Having said that, it follows that the direction of the force acting on the field should be changed to point towards the right.

Learn more about electric field:https://brainly.com/question/15800304

#SPJ9

Answer:

D) Z,X,Y,W

Explanation:

TOOK THE QUIZ MATE, TOOK THE MF QUIZ

Answer:

D

Explanation:

edge 21

【Answer】Therefore, the mass in said substance is 375 kilograms.

                               \(\red{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}\)

This is an exercise on fluids and their fundamental characteristics.

We start to solve, obtaining the data:

                                   Conversion from liters to m³

                                      \(\boldsymbol{1500\not{l}*\dfrac{1 \ m^{3} }{1000\not{l} }=1.5 \ m^{3} }\)

To calculate mass: multiply density by volume.

                                       \(\boldsymbol{m=d*v \ \ \to \ \ \ Formula}\)

We clear our data in the formula:

                                       \(\boldsymbol{m=250\dfrac{kg}{\not{m^{3}}}*1.5\not{m^{3}} }\)

                                        \(\boldsymbol{m=375 \ kg}\)

The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:

\($$F=k\frac{q_1q_2}{r^2}$$\)

where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:

\($$E=\frac{kq}{r^2}$$\)  where k is the Coulomb constant.

So, let's calculate the electric field due to each charge separately and then add them up:

For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)

For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:

\($$E_2=\frac{kq_2}{r^2}\)

\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)

The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.

To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)

Substituting the values of E1 and E2:

\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)

net comes out to be -1.5×10⁴ N/C.

Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

Know more about  electric field   here:

https://brainly.com/question/19878202

#SPJ8

Answer:

The answer is 'an equinox'.

The fringe that is most distant from the central bright fringe occurs at 79.5°.

Given information,

Slits separation d = 1.14 × 10⁻² mm

The wavelength of light, λ = 590 × 10⁻⁹ m

Condition for constructive interference

d sinθ = mλ

sinθ = mλ/d

The order of the fringes

m = d/λ = 1.14 × 10⁻⁵m /  590 × 10⁻⁹ m

m = 19.32

Total fringes are 2(19) +1 = 39

Consequently, the angle at which the fringe that is farthest from the center's brightest fringe occurs will depend on the original direction of the beam.  sinθ = mλ/d

θ = sin⁻¹ (mλ/d)

= sin⁻¹ [(19)( 590 × 10⁻⁹ m )/(1.14 × 10⁻⁵ m)]

= 79.5°

Learn more about fringes, here:

https://brainly.com/question/31315270

#SPJ4

Your question is incomplete, most probably the full question is this:

Part A

On a very large distant screen, what is the total number of bright fringes (those indicating complete constructive interference), including the central fringe and those on both sides of it? Solve this problem without calculating all the angles! (Hint: What is the largest that can be? What does this tell you are the largest value of ?) Slits separation by 1.14 × 10⁻² mm and the wavelength of light is 590 × 10⁻⁹ m

39.0

Correct

At what angle, relative to the original direction of the beam, will the fringe that is most distant from the central bright fringe occur?

= ?

Given data:

Mass of rock 1;

Height rock 1 lifted;

Mass of rock 2;

Height rock 2 lifted;

The work done in lifting the rock is given as,

Here, m is the mass of the rock, g is the acceleration due to gravity (g=10 m/s²) and h is the height the rock lifted.

The work done in lifting rock 1 is given as,

Substituting all known values,

The work done in lifting rock 2 is given as,

Substituting all known values,

On comparing the work done in lifting rock 1 and 2 we conclude that,

Therefore, the same amount of work is done in lifting a 50 kg rock by 2 meters and lifting a 25 kg rock by 4 meters.

Powering a light bulb is an electrochemical kind of work would not be appropriate for this type of cell.

Powering a light bulb typically involves the use of electrical energy, which is not directly related to electrochemical processes. In most cases, the type of cell used for powering a light bulb is an electrical cell or a battery rather than an electrochemical cell.

Electrochemical cells, such as fuel cells or voltaic cells, involve chemical reactions that convert chemical energy into electrical energy. These cells utilize redox reactions and the movement of ions to generate an electric current.

However, the purpose of an electrochemical cell is not specifically to power a light bulb but to produce electrical energy through chemical reactions.

On the other hand, when a light bulb is powered, it is usually connected to an electrical circuit supplied by an electrical cell or battery.

These electrical cells, such as alkaline batteries or lithium-ion batteries, rely on chemical reactions within the cell to produce a flow of electrons through the circuit, which in turn powers the light bulb.

To know more about electrochemical  refer here

https://brainly.com/question/31606417#

#SPJ11

The impulse that the pelton wheel applies to the water is equal  to the change in momentum of the water after hitting the flat paddle wheel.

Impulse is a measure of the force applied to an object over a period of time, and it is equal to the change in momentum of the object.

In the case of the pelton wheel, the force is applied to the water by the flat paddle wheel, and the change in momentum of the water is the result of that force.

Therefore, The impulse of the pelton wheel is therefore equal to the change in momentum of the water after it hits the paddle wheel.

Learn more about pelton wheel from

https://brainly.com/question/20038787

#SPJ1

Answer:

Let P = 2 * L + 2 * W       where L is the length of one side

If the width W is fixed and C = 2 * W    a constant

P = 2 L + C

Nuclide X decays more quickly than nuclide Y because Nuclide Y has a shorter half-life than nuclide X. Option C.

The decay rate of a radioactive nuclide is determined by its half-life. A shorter half-life means that a nuclide is more unstable and will decay more quickly than a nuclide with a longer half-life.

Therefore, if nuclide X decays more quickly than nuclide Y, it can be concluded that nuclide X has a shorter half-life than nuclide Y. This rules out option B, which suggests the opposite.

There is no direct relationship between the abundance of a nuclide and its decay rate, so it cannot be conclusively stated that nuclide Y is less abundant than nuclide X (option A). This information would require further context.

Similarly, the decay rate of a nuclide does not provide information about the abundances of its daughter nuclides, so option D cannot be confirmed. So Option C  is correct.

For more question on half-life visit:

https://brainly.com/question/1160651

#SPJ11

Answer:

theory is an idea to explain something,

Explanation:

Einstein's ideas about relativity are an example of the theory of relativity.

Answer: If skin cancer is related to ultraviolet light, then people with a high exposure to uv light will have a higher frequency of skin cancer.

Explanation: