Q4. What is the speed of light in a block of glass that
has an Index of refraction of 1.11?

Theprojectile launch allows to find the correct answer for the question about the direction of the ball when it hits the ground is:

       D)  θ = 37º measured clockwise from the x-axis.

projectile launch is an application of kinematics where there is no acceleration on the horizontal axis and the acceleration on the vertical axis is the gravity acceleration.

The horizontal distance traveled until it reaches the ground is

          x = v₀ₓ t

The height of the bullet is

          y = y₀ + \(v_o_y\)  t - ½ g t²

The initial vertical velocity is zero and when it reaches the ground its height is zero.

         0 = y₀ - ½ g t²

         t = \(\sqrt{\frac{2y_o}{g} }\)  

We substitute

          \(x = v_{ox} \ \sqrt{\frac{2y_o}{g} }\)  

They indicate that the distance is:

          x = \(\frac{8}{3} \ y_o\)  

We substitute

          \(\frac{8}{3} y_o = v_{ox} \sqrt{\frac{2y_o}{g} }\)  

          \(v_{ox} = \frac{8}{3} \sqrt{\frac{y_o g}{2} }\)  

The vertical speed when reaching the ground is:

         \(v_y = v_{oy} - g t \\v_y = - g t \\v_y = - g \sqrt{\frac{2y_o}{g} }\)

Let's use trigonometry for the direction at the point of hitting the ground.

         tan θ = \(\frac{v_y}{v_x}\)  

          θ = tan⁻¹ ( \(- \frac{3}{8} \ \frac{\sqrt{2y_o/g}}{\sqrt{y_o g /2} }\) )

          θ = tan⁻¹ ( \(tan ^{-1} (- \frac{3}{8} \sqrt{4} )= tan^{-1 } \ (- \frac{3}{4} )\)

          θ = -36.9º

The negative sign indicates that the angle is clockwise from the x-axis.

In conclusion, using the projectile launch we can find the correct answer for the question about the direction of the bullet when it hits the ground is:

      D) θ = 37º measured clockwise from the x-axis.

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Answer:

Rayleigh scattering

Explanation:

The blue color of the sky is due to a phenomenon called Rayleigh scattering. When sunlight enters the Earth's atmosphere, the shorter blue wavelengths of light are scattered more than the other colors by the tiny molecules of nitrogen and oxygen in the air. This causes the blue light to be redirected in many different directions, making the sky appear blue to our eyes. The other colors of light are scattered as well, but to a lesser extent, which is why the sky appears blue instead of a mixture of all colors. This effect is also the reason why the sun appears more yellow, orange or red during sunrise or sunset, when its light has to travel through more of the Earth's atmosphere before reaching our eyes, causing the shorter blue wavelengths to be scattered even more, leaving behind the longer wavelengths of light.

Vehicle driving round a curve

In order to find the answer, let's analyze the formula below for the heat energy:

Where Q is the heat energy (in J), m is the mass, c is the specific heat and DeltaT is the change in temperature.

If the value of c is 10 times greater, then for the same amount of energy Q and the same mass m, the increase in temperature would be 10 times lower.

Therefore the correct option is b.

The time will take a skateboard and dog with force 9N to stop the skateboard and dog is 8 seconds.

The force is defined as the push or pull of an object. The force equals the mass and acceleration of the object obtained from Newton's second law. Acceleration defines the change in velocity by the time taken. The force is defined as the rate of change of momentum and time. Momentum is defined as the product of mass and velocity and the unit of momentum is Kg.m/s.

From the given,

mass of dog (m) = 24 kg

The initial speed of dog (u) = 3 m/s

mass of skateboard and dog = 3 + 24 = 27 kg.

The final speed of dog (v) = 0 m/s

Force = 9N

time =?

F = dp/dt, rate of change of momentum and time.

F(dt) = dp

dt = (dp)/F

    =(Pf - Pi)/F

Pf is the final momentum and Pi is the initial momentum.

Pi = m×v = 24×3 = 72 kg.m/s²

Pf = m×v = 27×0 =0 kg.m/s²

dt = (0-72)/9

   = 8s

Thus, the time taken to stop the skateboard and dog is 8s.

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Answers:

A. It is a function

B. f(x) = 5x - 21 has a greater value when x = 11

C. x = 24

Explanation:

Part A.

A relation is a function if each value of the input is related to only one value of the output. In this case, the input doesn't have repeated values, so the table represents a function.

Part B.

In the table, when x = 11, y = 8

On the other hand, when x = 11, f(x) = 5x - 21 is equal to

f(x) = 5x - 21

f(11) = 5(11) - 21

f(11) = 55 - 21

f(11) = 34

Then, f(x) = 5x - 21 has a greater value when x = 11 because 34 is greater than 8.

Part C.

To find the value of x when f(x) = 99, we need to solve the following equation:

f(x) = 5x - 21

99 = 5x - 21

Solving for x, we get

99 + 21 = 5x - 21 + 21

120 = 5x

120/5 = 5x/5

24 = x

So, if f(x) = 99, x = 24

Based on the coefficient of kinetic friction, the object will travel a distance of approximately 37 meters before coming to a stop.

The correct option is C.

The distance an object will travel before coming to a stop can be calculated using the equation:

vf² = vi² + 2ad

where

The acceleration of the object can be determined using the equation:

a = -μk * g

where

Substituting the given values, we get:

a = -0.050 * 9.81 m/s²

a = -0.491 m/s²

Now we can use the first equation to solve for d:

0 = (6.0 m/s)² + 2(-0.491 m/s²)d

d = (6.0 m/s)^2 / (2 * 0.491 m/s^2)

d = 37 m

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Complete question:

An object is given an initial velocity of 6.0 m/s. The coefficient of kinetic friction between the object and the horizontal surface it slides across is 0.050. How far will the object travel before coming to a stop?

A) 19 m B) 25 m C) 37 m D) 57 m E) 102 m

As the book fell through the air and eventually hit the ground, the energies  of the system were converted from one form to another.

Option D is correct.

Energy is described as  the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

The forms of energy includes:

Chemical energy.

Electrical Energy.

Mechanical Energy.

Thermal energy.

Nuclear energy.

Gravitational Energy.

In conclusion, When the book fell through the air and hit the ground, the potential energy it possessed due to its position above the ground was converted into kinetic energy as it accelerated towards the ground.

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The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

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Answer:

c. Both require the same amount of work

Explanation:

GPE = mgh

50 * 10 * 2 = 1000 J

25 * 10 * 4 = 1000 J

Therefore, both are same and require the same amount of work.

Thenk and mark me brainliest :)

Both require the same amount of work. The correct option is C.

The potential energy that a massive object has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects fall toward one another, potential energy associated with the gravitational field is released.

Given that there are two activities,

1) lifting a 50 kg sack vertically 2 meters.

2)  lifting a 25 kg sack vertically 4 meters.

The energy required to lift the weight will be calculated as:-

GPE = mgh

50 x 10 x 2 = 1000 J

25  x  10 x  4 = 1000 J

So we can conclude that both activities require the same amount of work.

Therefore, both require the same amount of work. The correct option is C.

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Answer and Explanation:

A.

There would be a net force of 50 N going to the right.

Since both forces are going right, they add onto the force amount.

#teamtrees #PAW (Plant And Water)

Answer:

Volumetric cylinders and volumetric flasks are used to measure volume of liquids contained in them. They are calibrated for volume included in them - this is indicated by the marking "IN". The liquid has accurate volume when it reaches the corresponding marking on the scale. Volume is usually indicated in mL. Mark me brainliest please

According to Doerbecker and Ernst (1996) and Francart et al. (2011), interaural time difference (ITD) and interaural level difference (ILD) are the two primary auditory cues used by binaural hearing. The delay between each ear is known as ITD.

What technique best localizes sound between the two ears?

Rayleigh's view of horizontal sound localization has come to be known as the “duplex” theory: that sound localization at low frequencies relies on differences in phase at the two ears, or ITDs, and that high-frequency localization relies on interaural differences in sound level (ILDs).

What two variables affect sound localization?

The variation in the loudness of the sound in each ear and the time it took for the sound to reach each ear are two elements that affect how the sound is localized.

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Answer:

Explanation:

A rectifier is an electrical device that converts alternating current (AC) to direct current (DC), a process known as rectification. Rectifiers have many uses including as components of power supplies and as amplitude modulation detectors (envelope detectors) of radio signals. Rectifiers are most commonly made using solid state diodes but other type of components can be used when very high voltages or currents are involved. When only a single diode is used to rectify AC (by blocking the negative or positive portion of the waveform), the difference between the term diode and the term rectifier is simply one of usage. The term rectifier describes a diode that is being used to convert AC to DC. Most rectifier circuits contain a number of diodes in a specific arrangement to more efficiently convert AC power to DC power than is possible with only a single diode.

A Stone Is Dropped Into a Deep Water Well. The Sound of The Stone Hitting The Water Is Heard After 3.4 Seconds. then The Depth of The Water Well is 56.6 m.

In terms of physics, sound is a vibration that travels through a transmission medium like a gas, liquid, or solid as an acoustic wave. Sound is the receipt of these waves and the brain's perception of them in terms of human physiology and psychology. Only acoustic waves with frequencies between about 20 Hz and 20 kHz, or the audio frequency range, may cause a human to have an auditory sensation. These correspond to sound waves in air with an atmospheric pressure of 17 metres (56 ft) to 1.7 centimetres (0.67 in) in wavelength. Ultrasounds are sound waves with a frequency higher than 20 kHz that are inaudible to humans. Infrasound refers to sound frequencies below 20 Hz. Animals of different species have different hearing ranges. Acceleration of the stone is 9.8 m/s²

according to kinematics,

s = ut + 1/2 at²

s =  1/2 ×9.8×3.4²

s = 56.6 m

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Answer:

The metal case cover reduces heat loss by radiation

So, in the configuration where the charges are equal and opposite, the electric field at point P is equal to zero.

The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field. It also refers to the physical field of a charged particle system. The amount of electric force per charge exerted at a place in space is defined as the electric field E at that point in space. So, here is the electric field. It refers to the force per charge.

Here,

In the case of the electric charges located at the vertices of an equilateral triangle, the electric field at point P will be equal to zero if the charges are of equal magnitude and opposite sign, i.e. if one charge is positive and the other two are negative, or vice versa. In this configuration, the electric fields created by the two charges of equal and opposite sign will cancel each other out at point P, resulting in a net electric field of zero.

The electric field at a point is equal to zero if the net electric field acting on that point is zero. This occurs when there are equal and opposite charges present that cancel each other out.

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Complete question:

The following configurations of electric charges are located at the vertices of an equilateral triangle. Point P is equidistant from the charges.

In which configuration is the electric field at P pointed at the midpoint between two of the charges? (A) A  (B) B  (C) C  (D) D  (E) E

Measure the angle of the sun at the same time, on the same day every month for twelve months.

A slanted axis is around which the Earth is revolving. Or, to say it another way, our earth is perpetually leaned over and never stands erect.

Over the course of a year, this lean does not drastically alter in direction, but over thousands of years, it does so gradually.

The Earth leans periodically towards the sun and sometimes away from it as it moves through space in its orbit.

Because of the sun's bigger and more direct angular position over us during the summer, there is a greater amount of direct solar radiation, which warms the air. We receive less direct solar energy during the winter because of the sun's reduced angle and smaller surface area, making it colder.

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Answer: Newton's second law of motion

Explanation:

The frequency of the sound wave produced by the guitar string is 171.5 Hz.

The speed of a wave is the rate at which a wave propagates through a medium, which means the distance traveled by a wave per unit time. It is denoted by the letter "v" and is usually measured in meters per second (m/s) or feet per second (ft/s).

The speed of a wave depends on the properties of the medium through which it travels, such as its density, elasticity, and temperature. For example, sound waves travel at different speeds through different materials, like air, water, or solids. In general, waves travel faster through denser and more elastic mediums.

The speed of a wave can also be calculated using the formula:

v = f * λ

where "v" is the speed of the wave, "f" is its frequency, and "λ" is its wavelength. This formula relates the speed of a wave to its frequency and wavelength, and it is applicable to all types of waves, including sound waves, light waves, and water waves.

The speed of sound in air is 343 meters per second, and the wavelength of the sound wave produced by the guitar string is 2 meters. We can use the formula:

frequency = speed of sound/wavelength

Plugging in the values, we get:

frequency = 343 / 2 = 171.5 Hz

Therefore, the frequency of the sound wave produced by the guitar string is 171.5 Hz.

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Answer:

B.) Pressure traps dissolved gases in magma

Explanation:

I hope this answer is correct

Answer:

B

Explanation:

Explanation:

gravitational potential energy = mgh (must be in S.I. unit)

m= 0.4 kg ; g= 10m/s (gravitational acceleration occurs); h=9.2 m

hence mgh=0.4×10×9.2= 36.8J

unit for energy is joules and since the variables are in S.I. unit, we can use Joules as the final unit for measurement

Answer:

36.06 J if you define g = 9.8 m/s² or 36.8 J if you define g = 10 m/s²

Explanation:

Potential Energy = Mass x Gravitational Acceleration x Height

It can be expressed as \(\displaystyle{PE = mgh}\) where PE is potential energy, m is mass, g is gravitational acceleration and h is height.

In this case, we know mass is 0.40 kg and height of 9.2 m as well as gravitational acceleration is defined to be 9.8 m/s² (You can also define g = 10 m/s²)

Therefore, substitute given information in formula:

\(\displaystyle{PE=0.40 \ \times \ 9.8 \ \times 9.2 }\\\\\displaystyle{PE=36.06 \ J}\)

With g = 10 m/s², you'll get:

\(\displaystyle{PE = 0.40 \ \times 10 \ \times 9.2}\\\\\displaystyle{PE = 36.8 \ J}\)

Note that J is for joule unit.

Therefore, the answer is 36.06 J if you define g = 9.8 m/s² or 36.8 J if you define g = 10 m/s² - both work.

Answer:

Earth's gravity goes back as how old it is, so 4.5 billion light years.

Explanation:

Answer:

A. The speed is unchanged.

Explanation:

In the case when the work is to be done on a particle i.e. zero so the change made in KE of the particle would be zero. This represent the work energy theroem. But when the KE remains same or does not change so it should be the same and the particle speed would also the same

Therefore as per the given statement, the first option is correct

And rest of the options are wrong

Answer:

The greater weight increases the terminal velocity by acting as an extra force against gravity and air resistance.

The only option that is not a part of the particle theory is, particles move faster when cooled.

The particle theory of matter states that all matter consists of tiny particles which are in state of constant motion, colliding with one another and with of the containing vessel.

These theory can be summarized as;

Thus, the only option that is not a part of the particle theory is, particles move faster when cooled.

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Answer:

compounds

pure substances

mixture

Answer:

1 . compound

2. pure substances

3. compound

Answer:

I believe the answer is C.

Answer:

C. The ball's kinetic energy increases as it falls and its potential energy decreases.

Answer:

The nephew

Explanation:

The nephew has a seeing eye dog which means the nephews tracks are the dogs tracks, and the dog tracks are not covered by anything which means the dog was last and stole the butterfly.

Hope this helps!

The radiation that is least damaging to humans is non-ionizing radiation.

Non-ionizing radiation refers to the type of radiation that does not have enough energy to remove tightly bound electrons from atoms or molecules, thus not causing significant damage to biological tissues.

Examples of non ionizing radiation include radio waves, microwaves, visible light  and low energy ultraviolet (UV) radiation. while excessive exposure to any form of radiation can have adverse effects, non-ionizing radiation is generally considered to be less harmful compared to ionizing radiation, which includes X-rays and gamma rays.

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