The possible index of refraction of the glass is 1.52 (Option B).
This means that light is not transmitted from the glass to air at an angle of 55° if the glass has an index of refraction around 1.52.
According to Snell's law, the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the indices of refraction of the two media:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
In this case, the angle of incidence (θ₁) is 55°, and the index of refraction of air (n₂) is 1.00. We need to determine the index of refraction of the glass (n₁).
Let's substitute the given values into Snell's law and solve for n₁:
n₁ * sin(55°) = 1.00 * sin(θ₂)
Since no light is transmitted in air, it means that the angle of refraction (θ₂) is 90°. Therefore, sin(θ₂) = 1.
n₁ * sin(55°) = 1.00 * 1
n₁ = 1 / sin(55°)
n₁ ≈ 1.52
Based on the calculation, the possible index of refraction of the glass is approximately 1.52 (Option B). This means that light is not transmitted from the glass to air at an angle of 55° if the glass has an index of refraction around 1.52.
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. A pendulum oscillates 40 times in 4 seconds. Find its time period and frequency.
The equation y = 5 Sin (3x - 4t), where
y is in millimeters, x is in metres and t
is in seconds, represents a wave motion.
Determine the (i) frequency (ii) period
(iii) speed of the wave.
Answer:
Frequency, f = 0.63 Hz
Period, T = 1.58 s
Speed of a wave, v = 1.34 m/s
Explanation:
The equation of a wave is given by :
\(y = 5 \sin (3x - 4t)\) ...(1)
y is in mm
x is in meters
t is in seconds
The general equation of a wave is given by :
\(y=A\sin(kx-\omega t)\) ...(2)
(i) Compare equation (1) and (2) we get :
\(k=3\\\\\omega=4\)
Since,
\(\omega=2\pi f\\\\f=\dfrac{\omega}{2\pi}\\\\f=\dfrac{4}{2\pi}\\\\f=0.63\ Hz\)
(ii) Period of wave is :
\(T=\dfrac{1}{f}\\\\T=\dfrac{1}{0.63}\\\\T=1.58\ s\)
(iii) Speed of a wave,
\(v=\dfrac{\omega}{k}\\\\v=\dfrac{4}{3}\\\\v=1.34\ m/s\)
HELP WHATS THE ANSWER PLEASE
Answer:
A
Explanation:
Answer:
A. it appears to be reversed left and right
Explanation:
"In a plane mirror, the image will be the same size as the object and will be the same distance behind the mirror as the object is in front of the mirror. This image is called a virtual image because the light does not actually pass through the image."
In the compound MgCl2, how many atoms of Mg are there?
A 3588 kg tow truck tows Donald Trump’s 821 kg car. The truck provides a force of 9170 N to the left. What is the magnitude of the acceleration for both objects?
The magnitude of the acceleration for the objects is 2.07 \(m/s^{2}\).
Acceleration is the rate of change of velocity with respect to time.
Also it is the capacity of the vehicle to gain speed.Mass of the truck = M1 = 3588 kg
Mass of the Donald Trump’s car = M2 = 821 kg
Total mass = M1 + M2 = M
M = 3588 + 821
M = 4409 kg
Force provided by the truck = 9170 N
As we know Force is the product of mass and acceleration, i.e. F = m*a
therefore a = \(\frac{F}{m}\)
a = \(\frac{9170}{4409}\)
a = 2.07 \(m/s^{2}\)
Both the objects will accelerates with the acceleration of 2.07 \(m/s^{2}\).
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Identify the highlighted vessel. left coronary artery Oright coronary artery great cardiac vein anterior interventricular artery
The highlighted vessel given below in the image attached:
left coronary artery right coronary artery great cardiac vein anterior interventricular arteryWhat is the function of the coronary arteries and cardiac veins?
The movement of blood through the blood arteries that nourish the heart muscle is known as coronary circulation (myocardium). The heart muscle receives oxygenated blood from the coronary arteries. After the blood has been deoxygenated, cardiac veins remove it.
The heart muscle receives blood from coronary arteries. The heart muscle need oxygen-rich blood in order to operate, just like all other bodily components do. Blood that lacks oxygen must also be transported away. Outside of the heart, the coronary arteries encircle the organ.
Therefore, Your heart receives blood through the coronary arteries and their branches. In order to pump blood through your heart and the rest of your body, your heart muscles require the oxygen and nutrients found in blood.
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two point charges exert a 8.05 n force on each other. what will the force become if the distance between them is increased by a factor of 2?
When the distance between two point charges is increased by a factor of 2, the force they exert on each other decreases to 1/4 of the original force. The relation is governed by the Coulomb's Law.
According to Coulomb's Law, the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this scenario, if the distance between the charges is increased by a factor of 2, it means that the new distance is twice the original distance.
Since the force is inversely proportional to the square of the distance, doubling the distance will result in the force becoming 1/4 of the original force. Mathematically, this can be represented as follows:
\(F' = F / (2^2)\)
\(F' = F / 4\)
Therefore, the force between the two charges will become 1/4 (or 25%) of the original force when the distance between them is increased by a factor of 2.
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PLS ANSWER FAST WILL GIVE BRAINLY!!!!! BUT ONLY IF YOU KNOW
what happens outside of the nucleus?
Answer:
electrons
Explanation:
i think this is right
A 0. 22 kg clay target is fired at an angle of 35° to the horizontal. it reaches a maximum height of 4. 6 m. what is its initial speed when it is launched?
A 0. 22 kg clay target is fired at an angle of 35° to the horizontal. It reaches a maximum height of 4. 6 m. Its initial speed when it is launched will be u = 16.66 m/s
Projectile motion is the motion of an object thrown (projected) into the air. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory.
The object's maximum height is the highest vertical position along its trajectory. The horizontal displacement of the projectile is called the range of the projectile. The range of the projectile depends on the object's initial velocity.
h (max) = \(u^{2}\) \(sin^{2}\)(theta) / 2g
given
theta = 35°
Maximum height = 4. 6 m.
u = ?
4.6 = \(u^{2}\) * \(sin^{2}\)(35) / 2* 9.8
u = 16.66 m/s
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surgeons can remove brain tumors by using a cavitron ultrasonic surgical aspirator, which produces sound waves of frequency 23 khz . what is the wavelength of these waves in air?
Surgeons can remove brain tumors by using a cavitron ultrasonic surgical aspirator,which produces sound waves of frequency \(23 khz\).The wavelength of these waves in air is \(0.0149 m\) .
What is frequency ?Frequency is a measurement of how often something happens over a given period of time. It is usually measured in Hertz (Hz), which is the number of occurrences of a repeating event per second. Frequency is used to measure various phenomena, from sound waves to radio waves, from the movement of particles to the rotation of stars. It is an important concept in physics and other sciences and is used in everyday life to measure events such as the speed of sound and the frequency of a car's engine.
The wavelength of a sound wave is the distance between one wave peak and the next. It is calculated by dividing the speed of sound (in air) by the frequency of the wave. The speed of sound in air is\(343 m/s\), so the wavelength of a wave with a frequency of\(23 kHz\) would be \(343 m/s / 23,000 Hz = 0.0149 m (or 14.9 cm)\).
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PART ONE
A merry-go-round rotates at the rate of 0.24 rev/s with an 71 kg man standing at a point 2.7 m from the axis of rotation.
What is the new angular speed when the
man walks to a point 1 m from the center?
Consider the merry-go-round is a solid 79 kg cylinder of radius of 2.7 m.
Answer in units of rad/s.
PART TWO
What is the change in kinetic energy due to this movement?
Answer in units of J.
Answer:
In order to answer this correctly I will need the answers to the question
Explanation:
I can then work it out and give you the best answer I can give you
A girl is outside walking on level ground. First she walks 829 m to the east, then 223 m north, and finally 387 m west. What is the magnitude of her displacement? Give your answer in meters correct to at least 1 decimal place. Do not include units in your answer.
Answer:
not enough information need more information to answer the question
A child pulls on a little red wagon with a horizontal force of 74.8 N. The wagon moves horizontally a distance of 38.4 m in 2.3 minutes. Calculate the average power generated by the child in that time frame.
The average power generated by the child in that time frame is approximately 20.80 watts with a given force.
To calculate the average power generated by the child, we need to use the following formula:
Power = Work / Time
First, we need to find the work done by the child. Work can be calculated using the formula:
Work = Force × Distance × \(cos(θ)\)
Since the force is applied horizontally and the wagon moves horizontally, the angle \((θ)\) between the force and distance is 0 degrees. Therefore, \(cos(θ) = 1\). Now, we can calculate the work done:
Work = 74.8 N × 38.4 m × 1
Work = 2872.32 J (joules)
Next, we need to convert the time from minutes to seconds:
2.3 minutes × 60 seconds/minute = 138 seconds
Now we can calculate the average power:
Power = Work / Time
Power = 2872.32 J / 138 s
Power ≈ 20.80 W (watts)
So, the average power generated by the child in that time frame is approximately 20.80 watts.
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Which example would contain only longitudinal waves? a. a crowd doing the wave at a sporting event
b. an ultrasound that transmits soundwaves c. the waves formed by the ocean
d. playing the guitar strings
Answer: The answer to this problem is 3 option
Explanation:
The waves fοrmed by the οcean wοuld cοntain οnly lοngitudinal waves. Thus, option c is correct.
What dοes the term "lοngitudinal wave" mean?A lοngitudinal wave is a fοrm οf wave in which the medium vibrates parallel tο the wave's directiοn and the displacement οf the medium mοves in the same directiοn as the wave's mοtiοn. Sοund waves are a cοuple οf examples οf lοngitudinal waves. seismic P waves, and ultrasοnic waves.
Why dο lοngitudinal waves gο by that name?The wave is referred tο be a lοngitudinal wave when the medium's particles vibrate perpendicular tο the wave's directiοn οf prοpagatiοn.
Cοmpressiοns and rarefactiοns are created by οscillating sοund waves in a manner similar tο that οf prοpagatiοn directiοn. Hence, lοngitudinal waves are the name given tο sοund waves.
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pleaswe help me ewwfea
Answer:
The first one is Earths Tilt on its axis
A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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Which of the following is accounted for as a change in accounting principle?
A change in accounting principle refers to a change in the specific method, principle, or basis used to prepare financial statements.
Among the given options, the following would be accounted for as a change in accounting principle:
1. Switching from the cash basis of accounting to the accrual basis of accounting: The cash basis recognizes revenue and expenses when cash is received or paid, while the accrual basis recognizes revenue when earned and expenses when incurred.
2. Changing from FIFO (First-In, First-Out) method to LIFO (Last-In, First-Out) method for inventory valuation: FIFO assumes that the first items purchased are the first ones sold, while LIFO assumes that the last items purchased are the first ones sold.
3. Adopting a new revenue recognition standard: If a company adopts a new revenue recognition standard, such as transitioning from recognizing revenue at the point of sale to recognizing revenue over time, it would be considered a change in accounting principle.
4. Implementing a new depreciation method: If a company changes its depreciation method, such as switching from straight-line depreciation to accelerated depreciation , it would be considered a change in accounting principle.
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The above mentioned question is incomplete. The complete question is:
Which of the following is accounted for as a change in accounting principle?
A. Change in estimates
B. Change in accounting estimate
C. Change in accounting principle
D. Change in reporting entity
* Question Completion Status: Moving to another question will save this response. Question 29 Which one of the following statements is not true? (choose all apply) O UV radiation is a type of ionizing
One statement that is not true is that UV radiation is a type of electromagnetic radiation. It is also a type of ionizing radiation. UV radiation is actually a form of non-ionizing radiation.
UV radiation, or ultraviolet radiation, is a type of electromagnetic radiation that falls between visible light and X-rays on the electromagnetic spectrum. It is often categorized into three types: UVA, UVB, and UVC. Unlike ionizing radiation, such as X-rays and gamma rays, which have enough energy to remove tightly bound electrons from atoms or molecules, UV radiation lacks the necessary energy to ionize atoms or molecules. Instead, it primarily interacts with the outermost electrons of atoms or molecules, leading to chemical reactions and causing biological effects.
UV radiation is commonly associated with sunlight and has various effects on living organisms and materials. It can cause sunburn, premature aging of the skin, and an increased risk of skin cancer. Exposure to excessive UV radiation can also damage the eyes and impair the immune system. It is important to protect oneself from excessive UV exposure by wearing sunscreen, protective clothing, and sunglasses.
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p me have no brain please help I just wanna get through the year
According to the law of conservation of mass, what is the mass of sodium oxide (Na20) formed in this reaction? 4Na 91.96 g 02 32.00 g 2Na 0 ?
A. 247.92 grams
B. 123.96 grams
C. 61.68 grams
D. 495.84 grams
Answer:
B. 123.96 grams
Explanation:
Find the area of a circle with a radius of 70 centimetres
Answer:
A≈15393.8cm²
Explanation:
Answer:
15,386 cm
Explanation:
A=3.14*70*70
A particle moves along the x-axis so that its acceleration at any time t≥0 is given by a(t)=12t−4. At time t=1, the velocity of the particle is v(1)=7 and its position is x(1)=4.
Given that a particle moves along the x-axis so that its acceleration at any time t0 is given by a(t) = 12t - 4, At time t = 1, the velocity of the particle is v(1) = 7, and its position is x(1) = 4.
To find the velocity and position of the particle, we need to integrate the acceleration, a(t), and then solve the resulting equations for the constants of integration.
To solve for C, we use the fact that v(1) = 7:v(1) = 6(1)^2 - 4(1) + Cv(1)
= 2 + C
Thus, C is 5. Now, we can write the velocity of the particle as:
v(t) = 6t^2 - 4t + 5
To find the position of the particle, we integrate the velocity.
v(t) = dx(t)/dt ⇒ dx(t)
= v(t)dt∫dx(t)
= ∫v(t)dtx(t)
= ∫(6t^2 - 4t + 5)dt
X(t) = 2t^3 - 2t^2 + 5t + K
where K is the constant of integration. To solve for K, we use the fact that
x(1) = 4:X(1)
= 2(1)^3 - 2(1)^2 + 5(1) + KX(1)
= 5 + K
Thus, K = -1.
Now, we can write the position of the particle as:
X(t) = 2t^3 - 2t^2 + 5t - 1
Hence, the velocity of the particle is v(t) = 6t2 - 4t + 5, and the position of the particle is X(t) = 2t3 - 2t2 + 5t - 1.
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A 10 ohms resistor, 10 mh inductor, and 10micro farad capacitor are connected in series with a 10khz voltage source. The rms current through the circuit is 0.20A. Find the rms voltage drop across each of the three elements
Answer:
126 V
Explanation:
The computation of the rms voltage is shown below:
= I × R
=(.2) × (10)
= 2 V voltage drop across capacitor
= I × 1 ÷ (?C)
= I ÷ (2 × pi × f × C)
= (.2) ÷ (2 × pi × 10,000 × 10 × 10^-6)
= .318 V voltage drop across inductor
= I × ?L
= I × 2 × pi × f × L
= .2 × 2 × pi × 10,000 × .010
= 126 V
a ball is thrown leftward from the left edge of the roof, at height h above the ground. The ball hits the ground 1.60 s later, at distance d = 20.0 m from the building and at angle ? = 52.0° with the horizontal. (a) Find h. (Hint: One way is to reverse the motion, as if on videotape.) What are the (b) magnitude and (c) angle relative to the horizontal of the velocity at which the ball is thrown (positive angle for above horizontal, negative for below)?
the magnitude of the initial velocity is 12.50 m/s, and the angle relative to the horizontal is approximately 33.5° To find h, we can reverse the motion and consider the ball's trajectory as if it were going upward.
The time it takes for the ball to reach its highest point and then come back down is twice the time it takes to hit the ground, which is 1.60 s.
Using the kinematic equation:
d = v₀t + (1/2)gt²
Since the initial velocity in the vertical direction (v₀y) is zero when the ball reaches its highest point, we can solve for h:
h = (1/2)gt²
h = (1/2)(9.8 m/s²)(1.60 s)²
h = 12.57 m
(b) To find the magnitude of the initial velocity (v₀), we can use the horizontal distance and time:
d = v₀x * t
Substituting the given values:
20.0 m = v₀ * 1.60 s
v₀ = 12.50 m/s
(c) To find the angle of the initial velocity (θ), we can use the trigonometric relation:
tan(θ) = v₀y / v₀x
Substituting the known values:
tan(θ) = h / d
θ = arctan(h / d)
θ = arctan(12.57 m / 20.0 m)
θ ≈ 33.5°
Therefore, the magnitude of the initial velocity is 12.50 m/s, and the angle relative to the horizontal is approximately 33.5° (above the horizontal).
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A school classroom has six identical lamps. Each of the lamps is connected in parallel across a 220V mains supply. State the voltage across one of the lamps
The voltage across one of the lamps will be 220V. This is because when components are connected in parallel, the voltage across each component is the same as the voltage across the source.
What is voltage?Voltage is a measure of the potential difference in electrical energy between two points. It is measured in volts and is the electrical force that causes current to flow in an electrical circuit. Voltage is the energy per unit charge that causes a current to flow through a conductor. It can be compared to the pressure of water in a pipe, where the greater the pressure, the more water that can be pushed through the pipe. Voltage is the primary factor in determining the amount of electrical current that can be produced in an electrical circuit. Voltage is also related to the amount of power that can be produced in an electrical circuit. Voltage can be generated by a variety of sources, such as batteries, generators, and rectifiers.
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A light spring with force constant 3.70 N/m is compressed by 8.64 cm as it is held between a 0.261-kg block on the left and a 0.522-kg block on the right, both resting on a horizontal surface. The spring exerts a force on each block, tending to push them apart. The blocks are simultaneously released from rest. Find the acceleration with which each block starts to move, given that the coefficient of kinetic friction between each block and the surface is the following. (Let the coordinate system be positive to the right and negative to the left. Be sure to include the sign to indicate the direction of the acceleration.) (a) μ = 0 heavier block lighter block (b) μ = 0.110 heavier block lighter block (c) μ = 0.480 heavier block lighter block m/s² m/s² m/s² m/s² m/s² m/s²
The lighter block will also accelerate to the right with an acceleration of -0.82 m/s².
(a) μ = 0
The heavier block will accelerate to the right with an acceleration of:
a = F / m = k x / m = (3.70 N/m) (0.0864 m) / 0.261 kg = 1.22 m/s²
The lighter block will also accelerate to the right with an acceleration of 1.22 m/s².
(b) μ = 0.110
The heavier block will accelerate to the right with an acceleration of:
a = F - μk / m = k x / m - μk / m = (3.70 N/m) (0.0864 m) / 0.261 kg - (0.110)(0.261 kg)(9.80 m/s²) = 0.68 m/s²
The lighter block will not accelerate because the force of friction is greater than the force of the spring.
(c) μ = 0.480
The heavier block will accelerate to the right with an acceleration of:
a = F - μk / m = k x / m - μk / m = (3.70 N/m)(0.0864 m) / 0.261 kg - (0.480)(0.261 kg) (9.80 m/s²) = -0.82 m/s²
Therefore, the lighter block will also accelerate to the right with an acceleration of -0.82 m/s².
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Nicolaus copernicus was the first person to
Nicolaus Copernicus was the first person to propose the heliocentric model of the solar system, in which the Sun, not the Earth, is at the center.
Copernicus lived during the Renaissance and was an astronomer and mathematician. He proposed his heliocentric model in his book "De Revolutionibus Orbium Coelestium" (On the Revolutions of the Celestial Spheres) published in 1543. In this model, Copernicus argued that the Earth and the other planets revolve around the Sun, and not the other way around as was commonly believed at the time. This challenged the geocentric model of the universe, which placed the Earth at the center.
Copernicus' heliocentric model was based on observations and calculations he made using instruments like the astrolabe and the armillary sphere. He also relied on the work of earlier astronomers like Aristarchus of Samos and Ptolemy. Copernicus' model helped to explain phenomena like retrograde motion and the varying brightness of planets.
Copernicus' heliocentric model was a major shift in the way people thought about the universe, and paved the way for later scientific discoveries. It challenged long-held beliefs and led to a greater understanding of our place in the cosmos. Copernicus' work is considered a cornerstone of modern astronomy.
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someone pls help fast
em 6
Which provides a definition for
matter?
Anything that
A.
B.
C.
D.
is solid and has weight
takes up space and is heavy
takes up space and has mass
is a liquid or solid
Answer:
definition of matter is that matter takes up space and has mass
What is the evidence that star formation began when the universe was only a few hundred million years old
Answer: Globular clusters with stars more than 13 billion years old contain heavy elements.
How might a servant leaders gender, age, or ethnicity influence how he or she is perceived by followers?
Answer:
Servant leaders use persuasion – rather than their authority – to encourage people to take action. They also aim to build consensus in groups , so that everyone supports decisions. There are many tools and models that you can use to be more persuasive, without damaging relationships or taking advantage of others.
Explanation: