what is the electric potential at points a , b , and c in (figure 1)? suppose that q = 2.0 nc , r1 = 1.2 cm , and r2 = 1.7 cm .

Answers

Answer 1

The electric potential at point a is 150 V, at point b is 105.9 V, and at point c is 80 V.

To find the electric potential at points a, b, and c in Figure 1, we can use the formula V=kq/r where V is the electric potential, k is Coulomb's constant, q is the charge, and r is the distance from the charge.
At point a, the distance from the charge q is r1=1.2 cm. Therefore, the electric potential at point a is V=kq/r1 = 9x10^9 Nm^2/C^2 x 2x10^-9 C / 0.012 m = 150 V.
At point b, the distance from the charge q is r2=1.7 cm. Therefore, the electric potential at point b is V=kq/r2 = 9x10^9 Nm^2/C^2 x 2x10^-9 C / 0.017 m = 105.9 V.
At point c, there are two charges q and -q. Therefore, we need to find the electric potential due to both charges and add them. The distance from the positive charge q is r1=1.2 cm, and the distance from the negative charge -q is r2=3 cm. Therefore, the electric potential at point c is V=kq/r1 - kq/r2 = 9x10^9 Nm^2/C^2 x 2x10^-9 C / 0.012 m - 9x10^9 Nm^2/C^2 x 2x10^-9 C / 0.03 m = 80 V.
In summary, the electric potential at point a is 150 V, at point b is 105.9 V, and at point c is 80 V.

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Related Questions

9- Where did Rutherford propose that most of the mass of an atom
resided?
a) In the middle of the atom
b) Along the edge of the atom
c) Scattered throughout the atom
d) Orbiting around the atom

Answers

Answer:

A) in the middle of the atom

Explanation:

He concluded that all of the positive charge and the majority of the mass of the atom must be concentrated in a very small space in the atom's interior, which he called the nucleus.

the air is compressed in a bicycle pump, an average force of 45N is exerted as the pump handle moves 0.24 m. During this time, 2.0J heat leaves the cylinder through the walls. What is the net change in thermal energy of the air in the cylinder?

Answers

The net change in thermal energy of the air in the cylinder is -8.8 J.

When a force is exerted on a system and it undergoes a displacement, work is done. In this case, when the pump handle moves 0.24 m, the work done on the air in the cylinder is:

Work = Force x Distance

Work = 45N x 0.24m

Work = 10.8 J

The heat leaving the cylinder through the walls is considered as heat transfer or heat loss to the surroundings.

Therefore, the net change in thermal energy of the air in the cylinder can be calculated using the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:

ΔU = Q - W

where ΔU is the change in internal energy of the system, Q is the heat added to the system, and W is the work done by the system.

Substituting the values given in the problem:

ΔU = 2.0 J - 10.8 J

ΔU = -8.8 J

Since the value of ΔU is negative, it means that the internal energy of the air in the cylinder has decreased, which can be attributed to the heat loss to the surroundings.

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At some point in an underground horizontal pipe, the speed of water is 2.5m/s and the gauge pressure is 2×104 Pa. What is the gauge pressure if the pipe is changed for another twice the area?

Answers

The gauge pressure would be 2.234 ×10⁴  Pa   if the pipe is changed for another twice the area.

What is pressure?

The total applied force per unit of area is known as the pressure.

The pressure depends both on externally applied force as well the area on which it is applied.

As given in the problem at some point in an underground horizontal pipe, the speed of water is 2.5m/s and the gauge pressure is 2×10⁴ Pa.

By using the continuity equation

A ₁V₁ = A₂V₂

As the area is increased to twice the original area

A ₁V₁ = 2A₁V₂

V₂ =V₁/2

    =2.5 /2

    =1.25 m/s

By using Bernoulli's equation

P₁ + 1/2 ρV₁² = P₂ + 1/2 ρV₂²

P₂ =  2×10⁴ + 1/2 ×1000×(2.5² -1.25²)

    = 2×10⁴ + 2343.75

    =22343.75 Pa

    =2.234 ×10⁴ Pa

Thus, if the pipe is changed for another twice the area then the gauge pressure woul be 2.234 ×10⁴ Pa.

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Which type of protist is animal AND plant like?

Answers

Answer:

Protists are called plant-like, fungus-like and animal-like because they share some of the characteristics of plants, fungi and animals, even though they belong in a different category: the kingdom Protista.

Explanation:

A college student walking on a sidewalk throws his keys to a friend on a balcony 6m above him. If the college student throws the keys upward at 9.4 m/sec, can his friend on the balcony catch the keys? If not, what distance will the keys reach?

Answers

copy and paste into google for the answer

The brakes on a car do 110,095J of work as they apply an average force of 8,450N. How far in meters does the car continue before stopping

Answers

13.02 meters

Explanation

the work done by the brakes makes the car stops, so the change in energy equals the work done

hence

\(\text{work}=\Delta Ek=\frac{1}{2}mv^2\)

also, the work done by a force is given by

\(\text{work}=\text{ force}\cdot dis\tan ce\)

then, let

\(\begin{gathered} \text{work}=\text{ 110095 J} \\ \text{Force}=8450\text{ N} \end{gathered}\)

replace

\(\begin{gathered} \text{work}=\text{ force}\cdot dis\tan ce \\ 110095\text{ J=8450 N}\cdot distnace \\ \text{divide both sides by 8450 N} \\ \frac{110095\text{ J}}{\text{8450 N}}\text{=}\frac{\text{8450 N}\cdot}{\text{8450 N}}distance \\ 13.02m=\text{distance} \end{gathered}\)

therefore, the answer is

13.02 meters

I hope this helps you

The Tesla Model S Electric vehicle can go from 0 to 60 mi/hr (26.8 m/s) in only 1.9 seconds! How far does it move from rest until it reaches 60 mi/hr? Round your answer to the nearest whole meter.

Answers

Answer:

The Tesla moves approx. 25 meters from rest before reaching 60 mi/hr

Explanation:

Given:

Initial velocity = 0 m/s

Final velocity = 26.8 m/s

Time = 1.9 seconds

Acceleration = change in velocity/time

\(a = \frac{26.8}{1.9}\)

The equation to find displacement (Δx) with given starting and final velocity, time, and acceleration is:

\(x = x_{0} + v_{0}t + \frac{1}{2} at^{2}\)

Starting position and initial velocity both equal 0, so

\(x = \frac{1}{2} at^{2}\)

\(x=\frac{1}{2} (\frac{26.8}{1.9})(1.9)^{2}\)

x = 25.46m

Rounded to the nearest whole number, x = 25m

An object is travelling with respect to time as per the equation x = \(4t^{3} + 3t^{2} + 5t + 8 m\)
Calculate 1) Position
2) Velocity
3) Acceleration of the object at the instant of t = 2s and t = 4s
Also calculate the average speed within the time interval t = 2s and t = 4s

Answers

Answer:

You would ultimately need to calculate the Velocity, which is, B)

Explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

who invented the satellite what purpose does it serve

Answers

Sputnik 1, the first man-made satellite, was released by the Eastern Bloc on October 4, 1957, as part of the Sputnik project, with Sergei Korolev serving as the program's primary designer.

What is the function of a satellite?

There are a large number of satellite in use. They serve several functions, including the Satellite Navigation System, amateur radio, television transmission, and weather prediction. In order to conduct studies and acquire data, they also employ telescopes to gaze outwards at the solar system.

What are the two primary satellite types?

Natural and artificial satellite are two distinct categories. The Earth and the Moon are two examples of organic satellites. The Moon orbits the earth while the Earth revolves around the Sun.

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if quantity demanded rises by 10 percent as price falls by 4 percent, the absolute value of price elasticity of demand equals group of answer choices 0.40. 2.50. 0.04. 14.00.

Answers

The absolute value of price elasticity of demand equals 2.50 if quantity demanded rises by 10 percent as price falls by 4 percent.

In economics, price elasticity of demand is used to measure the degree of responsiveness of the quantity of a product demanded with respect to its price. It is an essential measure for a business to determine the behavior of consumers towards changes in the price of its product.Price elasticity of demand formula is:Price elasticity of demand = (% change in quantity demanded) / (% change in price)From the given problem,Quantity demanded increases by 10% as price falls by 4%.

Mathematically, we can say that,% change in quantity demanded = 10%

= 0.1% change in price

= - 4%

= - 0.04

By substituting these values into the elasticity of demand formula, we get:Price elasticity of demand = (% change in quantity demanded) / (% change in price)Price elasticity of demand = 0.1 / (-0.04)Price elasticity of demand

= -2.5Taking absolute values, we get:

Absolute value of price elasticity of demand = 2.5

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A force, F, of 25 N is acting in the direction of a= [6, 1). a) Find a unit vector in the direction of a. b) Find the Cartesian vector representing the force, 7, using your answer from part a). c) The force f is exerted on an object moving from point (4,0) to point (15, 0), with distance in metres. Determine the mechanical work done.

Answers

a) The unit vector in the direction of a is (0.993, 0.117).

b) The Cartesian vector representing the force is (24.825, 2.925).

c) The mechanical work done is 275 Joules.

What is the unit vector in the direction of a? How can the force be represented in Cartesian vector form? What is the value of the mechanical work done?

The unit vector in the direction of vector a can be found by dividing vector a by its magnitude. In this case, vector a = [6, 1], so the magnitude of a is √(6² + 1²) = √37. Dividing vector a by its magnitude yields (6/√37, 1/√37), which simplifies to approximately (0.993, 0.117).

To find the Cartesian vector representation of the force, we multiply the unit vector from part a) by the magnitude of the force, F = 25 N. The result is (0.993 * 25, 0.117 * 25), which simplifies to (24.825, 2.925).

To determine the mechanical work done, we use the formula W = F * d * cos(θ), where W is the work done, F is the force, d is the displacement, and θ is the angle between the force and displacement vectors.

In this case, the force is F = 25 N, and the displacement is the difference between the x-coordinates of the two points, which is 15 - 4 = 11 meters. Since the force and displacement are in the same direction (θ = 0°), cos(θ) = 1.

Plugging in the values, we get W = 25 * 11 * 1 = 275 Joules.

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A small car has a head-on collision with a large truck. Which of the following statements concerning the magnitude of the average force due to the collision is correct? a. The small car experiences the greater average force. b. The small car and the truck experience the same average force. c. It is impossible to tell since the masses are not given. d. The truck experiences the greater average force.

Answers

Answer: The answer is B

Explanation: using newton's third laws of motion,the force applied between two objects is same in magnitude and has opposite direction.since two objects have same force,small car has large acceleration than the truck because it has less mass.

The correct answer is a. The small car experiences the greater average force.

This is because of the difference in mass between the two vehicles. The small car has less mass than the truck, so it will experience a greater acceleration for the same force. The force experienced by each vehicle is equal in magnitude but opposite in direction due to Newton's third law of motion. Therefore, the small car experiences a greater average force than the truck.

A chemical reaction is the change that takes place when ____ or more substances interact to form new substances.​

Answers

Answer:

two or more substances

Explanation:

A chemical reaction can't take place if there is only one substance

Answer:

A chemical reaction is the change that takes place when two

or more substances interact to form new substances.

Explanation:

Chemical reactions occur when chemical bonds between atoms are formed or broken. The substances that go into a chemical reaction are called the reactants, and the substances produced at the end of the reaction are known as the products.

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (40pts)

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this

Answers

D.)downward toward the center of earth

A drag racer starts her car from rest and accelerates at 10.9 m/s^2 for the entire distance of 226 m. How long did it take the car to travel this
distance? Answer in units of s.

Answers

u=0

a=10.9m/s^2

s=226m

v^2-u^2=2as

v^2=2 (10.9)(226)

v^2=49268

v=70.2m/s^2

v=u+at

70.2=0+10.9 (t)

70.2/10.9=t

t=6.44s

1)describe how a lightning conductor protect a building from lightning
2) explain how air conditioner cools a room

Answers

Answer:

lightning conductors/rods protect buildings by intercepting lightning strikes that may hit these structures.

Air conditioners pass air over cold coils known as evaporator pipes

Explanation:

Lightning rods are made of highly conductive metal, and offer a path of least resistance for any lightning strikes and are connected to longer wires that ground the charge.

air conditioners use a chemical compound called a refrigerant. the most common refrigerant used is r-134a also know as 1,1,1,2-Tetrafluoroethane.  cooling systems use the low boiling points of these refrigerants to constantly cool and compress the chemical to continually move heat from the inside of the system to an external area.

1)describe how a lightning conductor protect a building from lightning2) explain how air conditioner

If a screw had a circumference of 16mm and a lead of 0.4mm and you applied 15N of force, How many Newtons of force would be produced?

Answers

If a screw had a circumference of 16mm and a lead of 0.4mm and 15N of force is applied, the force produced would be 0.375N.

The mechanical advantage of a screw is determined by its lead, which is the distance traveled by the screw in one complete rotation. The formula for calculating the force produced by a screw is F = (T * p) / (2πr), where F is the force produced, T is the torque applied, p is the lead of the screw, and r is the radius of the screw.

In this case, the screw has a circumference of 16mm, so its radius is 16mm / 2π = 2.546mm. The lead of the screw is given as 0.4mm, and the force applied is 15N. Substituting these values into the formula, we get:

F = (T * p) / (2πr)

  = (15N * 0.4mm) / (2π * 2.546mm)

  = 0.375N

As a result, the screw produces 0.375N of force. This means that for every 15N of force applied to the screw, it produces a mechanical advantage of 0.375N, which is a measure of the force amplification achieved by the screw.


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coherent microwaves of wavelength 5.00 cm enter a long, narrow window in a building otherwise essentially opaque to the microwaves. if the window is 45.0 cm wide, what is the distance from the central maximum to the first-order minimum along a wall 6.50 m from the window?

Answers

The distance from the central maximum to the first-order minimum along a wall 6.50 m from the window is approximately 0.764 m.

To solve this problem, we can use the equation for the distance between adjacent maxima or minima in a single-slit diffraction pattern:

d*sin(theta) = m*lambda

where d is the width of the slit (in this case, the width of the window), theta is the angle between the direction of the diffracted wave and the direction of the incident wave, m is the order of the maximum or minimum (0 for the central maximum, 1 for the first-order minimum, 2 for the second-order maximum, etc.), and lambda is the wavelength of the microwaves.

We can rearrange this equation to solve for the distance between the central maximum and the first-order minimum:

sin(theta) = m*lambda/d

For the first-order minimum, m = 1. Plugging in the given values, we get:

sin(theta) = (1)*(5.00 cm)/(45.0 cm) = 0.111

To find the angle theta, we can use the small-angle approximation:

theta = sin(theta) = 0.111

Now we can use basic trigonometry to find the distance from the window to the first-order minimum on the wall:

tan(theta) = opposite/adjacent

opposite = tan(theta)*adjacent = tan(0.111)*(6.50 m) = 0.764 m

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I need help on this the first one is plant cell

I need help on this the first one is plant cell

Answers

Answer:

The Vacuole

Explanation:

The Vacuole

When two forces act on an object in opposite directions, you calculate the net force by

Answers

Answer:

Forces Acting in Opposite Directions

In general, whenever forces act on an object in opposite directions—like the book on the table—the net force is equal to the difference between the two forces. In other words, one force is subtracted from the other to calculate the net force.

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Location A on the surface of Earth bas a much higher temperature than Location Which statement is most likely true A.Both locations are at the poles B.Both are at the equator C.Location A is at the equator and Location B is the poles D.Location at the poles and location B is the equator

Answers

Answer:

The anwser is b

Explanation:

Answer:

the answer is B

I know  because i just did it

What is the acceleration of a car with the mass of 1’980 kg if it experiences a net horizontal force of 1’000 N

Answers

Answer:

See below

Explanation:

For the, just remember the equation

F = m a

1000 N = 1980 kg  * a

1000/1980 = a = .505 m/s^2

A stone is thrown downward with initial speed 8 m/s from a height of 25m. Find the time it takes to reach the ground. Use 9.8m/s^2 as gravity.

Answers

1.59 seconds

It takes 1.59 seconds for the stone to reach the ground.

a = -9.8 m/s^2

v = -9.8t -8 m/s

s = -4.9 t2 -8t +25

So… -5t^2 -8t + 25 =0,

on rearranging to 5t^2 + 8t - 25

This gives us t=1.59 seconds.

What is the gravity force?The force of attraction between any two objects in the universe is known as gravity or gravitational force. The mass of the object and the square of the distance between them determine the force of attraction. The weakest known force in nature, it is by far.

What is the acceleration of a stone thrown downward?As a result, the acceleration vector is that caused by gravity and it always has the same size and heading. In both the uphill and descending halves of the motion, it has a magnitude of 9.80 m/s2 and points downward.

What would happen to the downward-directed stone's velocity?Similar to how the acceleration brought on by gravity is negative and downward, the starting velocity is also negative. Given that the rock will keep descending, we anticipate the final velocity to be negative.

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A boy and his skateboard have a combined mass of 60kg. after an initial shove, the boy starts coasting at 5. 5m/s along a lever driveway. friction brings him to a stop in 5. 0 s. if the combined force of gravity on the boy and skateboard is 590 n, what is the average coefficient of (rolling) friction between the driveway and the skateboard wheels?

Answers

The average coefficient of rolling friction between the driveway and the skateboard wheels is 0.112.

the average coefficient of rolling friction between the driveway and the skateboard wheels, we need to use the equation:

f_friction = μ * f_norm

where f_friction is the force of friction, μ is the coefficient of rolling friction, and f_norm is the normal force.

the force of gravity on the boy and skateboard:

f_norm = 590 N

the boy starts coasting at 5.5 m/s and comes to a stop in 5.0 s, so we can use the equation:

v_final = v_initial + a * t

where v_initial is the initial velocity, v_final is the final velocity (which is 0 m/s since the boy comes to a stop), a is the acceleration, and t is the time.

Solving for acceleration, we get:

a = (v_final - v_initial) / t
a = (0 - 5.5) / 5.0
a = -1.1 m/s^2

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, which makes sense since friction is acting to slow down the boy's motion.

the force of friction using Newton's second law:

f_friction = m * a

where m is the combined mass of the boy and skateboard.

m = 60 kg
a = -1.1 m/s^2

f_friction = 60 kg * (-1.1 m/s^2)
f_friction = -66 N

Note that the force of friction is negative because it acts in the opposite direction of the motion.

Finally, we can plug in the values for f_norm and f_friction to solve for the coefficient of rolling friction:

f_friction = μ * f_norm

-66 N = μ * 590 N

μ = -66 N / 590 N
μ = -0.112

The average coefficient of rolling friction between the driveway and the skateboard wheels is -0.112. However, since coefficients of friction are always positive, we need to take the absolute value of this result:

μ = 0.112

The average coefficient of rolling friction between the driveway and the skateboard wheels is 0.112.

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Exercise Physiology
21) According to Boyle's Law: a. There is an inverse relationship between temperature and gas volume b. There is an inverse relationship between pressure and gas volume c. There is a positive relation

Answers

According to Boyle's Law, there is an inverse relationship between pressure and gas volume.

Therefore, option b. There is an inverse relationship between pressure and gas volume is the correct answer.

Boyle's Law is defined as the principle that explains the relationship between the volume and pressure of a gas at a constant temperature. It is formulated by Robert Boyle, an Irish physicist and chemist, in the 17th century. Boyle's Law states that the pressure of a given amount of gas is inversely proportional to its volume, provided the temperature remains constant.

Mathematically, it can be expressed as

P₁V₁ = P₂V₂,

where P₁ and V₁ are the initial pressure and volume of the gas, respectively, and P₂ and V₂ are the final pressure and volume of the gas. Therefore, option b. There is an inverse relationship between pressure and gas volume is the correct answer.

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Choose a wrong statement describing the effect of temperature on the activity of enzyme when the temperature is higher than the optimum temperature.
A. The enzyme's hydrogen bonds and hydrophobic interactions weaken
B. Catalysis decreases.
C. Catalysis occurs at a faster rate as temperature increases
D. The functional 3-D shape of the enzyme is lost

Answers

C. Catalysis occurs at a faster rate as temperature increases

The correct statement describing the effect of temperature on the activity of an enzyme when the temperature is higher than the optimum temperature is:

D. The functional 3-D shape of the enzyme is lost

At temperatures higher than the optimum temperature, the enzyme's three-dimensional structure can be denatured or disrupted, leading to a loss of its functionality.

This is because the increased temperature can break the weak bonds (such as hydrogen bonds) and disrupt the hydrophobic interactions that are important for maintaining the enzyme's active conformation. As a result, the enzyme's catalytic activity decreases rather than increasing.

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PLEASE ANSWERRRRRRRRRRRRRR

PLEASE ANSWERRRRRRRRRRRRRR

Answers

Law of Reflection :

The law of reflection states that when light rays strike a smooth surface, the angle of reflection equals the angle of incidence, and the incident ray, reflected ray, and normal to the surface all lie in the same plane.

Here, let us consider, the ray A as the normal , as it is perpendicular to the surface of the plane mirror. When the incident ray hits the plane mirror at an angle say, θ  with the normal ( here, incident ray A) , then, θ will be  the angle of reflection.

Now if we consider all the incident rays A, B, C and D. Among them, let the ray C  make an  angle  Θ, with the normal ( here, incident ray A).

Therefore, from the image given, clearly,  θ = Θ, hence Θ is the angle of reflection, thus ray C best represents the reflected ray.

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9. A constant velocity means acceleration is
(a.) positive
(b.) negative
(c.) increasing
(d.) zero

Answers

Answer:

d. zero

Explanation:

Constant velocity means the acceleration is zero. In this case the velocity does not change,

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Which statement describes the role of a proton pump in energy conversion?.

Answers

The role of a proton pump in energy conversion is to create a proton gradient, which is utilized by ATP synthase to make ATP.

Energy conversion is the transformation of one energy form into another, such as chemical to electrical energy or thermal to mechanical energy. Energy conversion is frequently necessary in order to obtain useful energy from raw energy sources like fossil fuel or solar radiation.

A proton pump is a form of protein that moves protons across a biological membrane. The proton-motive force or proton gradient is created by the proton pump. The proton gradient, as previously stated, is an energy-dense system that can be used by ATP synthase to generate ATP.

In summary, the role of a proton pump in energy conversion is to create a proton gradient, which is utilized by ATP synthase to make ATP.

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The critical angle for a substance in air is measured at 53. 7°. If light enters this substance from air at 45. 0° with the normal, at what angle with the normal will it continue to travel?.

Answers

The light will continue to travel at 34.8° with the normal. The result is obtained by using the Snell's Law.

What is Snell's Law?

The Snell's Law is a formula to describe the relationship between the angles of incidence and refraction when a light passes through two medias. It can be expressed as

ni / nr = sin θr / sin θi

Where

ni = incident indexnr = refracted indexθi = incident angleθr = refracted angle

Note that the angles are measured from the normal line.

The critical angle can be expressed as

sin θc = ni / nr

If the critical angle is 53.7° and the light enters the substance from air at 45.0° with the normal, what angle with the normal will it continue to travel?

We can combine the above two formulas to find the refracted angle.

ni / nr = sin θr / sin θi

sin θc = sin θr / sin θi

sin 53.7° = sin θr / sin 45°

0.806 = sin θr / 0.707

sin θr = 0.707 × 0.806

sin θr = 0.570

θr = 34.8°

Hence, the light will continue to travel at 34.8° with the normal.

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find the value of x if 8, 20, x, 50 are in proportion I will mark you as brainlest 50 POINTS +25 IF BRAINLIESTHow are the monotheistic religions (Judaism, Christianity, and Islam) different? what is the 78th term of the arithmetic sequence -4, -2, 0, Ellen is buying her mom a new cheese board made by a local carpenter. The cheese board is shaped like a trapezoid and has an area of 93. 5 square inches. Its bases are 10. 5 inches long and 11. 5 inches long. What is the trapezoid's height? mr. and mrs. mahmood arrived on September 8 and departed on September 15.Their nightly room rate was $235.000 per night.They had the breakfast buffet daily at $22.00 per person.They ate dinner at a hotel restaurant three times at a cost of $150.00, $110.00 and 225.00.Mr Mahmoud Played a round of gulf $125.00 and Mrs Mahmoud requested that her suit be dry cleaned for a business meeting once charge $39.00. daily taxes of 7% city, 12% state and hotel take of 5% is added onto thr room rate. what is the total for the stay?( Assume all gratuites are included in the costs presented.) How did the principles of transcendentalism and self-awareness contribute to gender and race equality in society from 1836- 1861 Determine if the following statement is true or false. Justify the answer. If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A. Choose the correct answer below. A. The statement is true by the Invertible Matrix Theorem. B. The statement is false because the pivot columns of A form a basis for Col B. C. The statement is true by the definition of a basis. D. The statement is false because the columns of an echelon form B of A are not necessarily in the column space of A The _____ is the bacterial structure that acts as a selective barrier, allowing nutrients to enter the cell and wastes to leave the cell. Suppose you are at the edge of a cliff and throw one ball down to the ground below and another up at the same speed. The upward-thrown ball rises and then falls to the ground below. How do the speeds of the balls compare when striking the ground What is the resulting tensile stress in psi induced on a thin ring having a mean radius of 6 inches and rotating at 1200 rpm if the specific gravity of the ring's material is 7.2? according to the spheres of life model, happiness occurs when How many miles apart are the library and the school When faced with financial distress; managers of firms acting on behalf of their shareholders' interests will:A. favor issuing large quantity of low quality debt to low quantity of high quality debtB. favor paying high dividends to the shareholdersC. delay the onset of bankruptcy as long as they canD. All of the above :) y = (3 - x)(x + 2) What type of RNA carries instructions from DNA in the nucleus to the ribosome in the cytoplasm? As Chris is hitchhiking around the west, we know his parents are frantic trying to figure out where their son may be. The only clue they have to Chriss whereabouts is a ticket he gets for hitchhiking in August. They are so worried that they hire a renowned private investigator named Peter Kalitka to track their son. Does knowing what his parents are going through affect your views regarding Chriss journey? Explain. We help make decisions for government by What are the two main types of distribution channels? Which operation would you do third in the following problem?8 (10-4)6additionsubtractionmultiplicationdivision A solid sphere rolls without slipping along a track shaped as shown at right. It starts from rest at point A and is moving vertically when it leaves the track at point B. At its highest point while in the air, will the sphere be above, below, or at the same height as point A? Please give PROPER REASONING