specifically, velocity and acceleration are out of phase by a quarter of a period, which means that their graphs have the same shape but are shifted in time. T/F

Prism index of refraction is 2.40 if it is deflected by 22.6degrees by a 30-60-90 prism.

Refraction of light is perhaps of the most ordinarily noticed peculiarity, however different waves like sound waves and water waves additionally experience refraction. Refraction makes it feasible for us to have optical instruments, for example, amplifying glasses, focal points and crystals. It is likewise a result of the refraction of light that we can shine light on our retina..

Applying Snell's law at the point of refraction we get

μ₁sinθ₁ = μ₂sinθ₂

where μ₁ is refractive index of the prism,

μ₂ is the refractive index of the air,

sinθ₁ is the angle made by light with prism

and sinθ₂ is the angle made by light beam with air medium.

Now,we know that μ₂=1,θ₁ =22.6°,θ₂=90° - 22.6°=67.4°,μ₁=?

On putting we,get

=>μ₁ ˣ sin(22.6°)= 1 ˣsin(67.4°)

=>μ₁=sin(67.4°)/ sin(22.6°)

=>μ₁=0.923/0.384

=>μ₁=2.403

Hence, prism index of refraction is 2.403.

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The momentum of an object is 30 kgm/s . This can be calculated by using momentum formula see description below.

It is defined as the product between mass and velocity. Its symbol is p.

It is given by:

p = m * v

What information do we have?

Mass = 5kg

Velocity = 6 m/s

To find:

Momentum=?

On substituting the values:

p = m * v

p =5 kg * 6 m/s

p = 30 kgm/s

Thus, the momentum of an object is 30 kgm/s.

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Answer:

The rate at which work is done would be power. Bonus: The SI unit of work is Joules.

Explanation:

Hope this helped, nya~ :3

The correct answer for normal distribution is "np(1 - p) > 5".

The normal distribution is used to approximate the sampling distribution of the sample proportion only if the sample size is large enough, which is determined by the formula np(1 - p) > 5, where n is the sample size and p is the sample proportion. This criterion ensures that the sampling distribution is approximately normal, even if the underlying population is not normal or the population proportion is not close to 0.5.

Therefore, if the sample size is smaller than 30 and/or np(1 - p) is not greater than 5, the normal distribution may not be an appropriate approximation for the sampling distribution of the sample proportion. In those cases, other methods, such as the t-distribution or the binomial distribution, may be more appropriate.

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The distribution of electrical charges results in electrostatic pressure.

In the field of physics known as electrostatics, static electric charges are studied (static electricity). Some materials, like amber, have been known to capture light particles after rubbing since classical times. The word "electricity" thus derives from the Greek word for amber. Electric charges exert forces on one another, which results in electrostatic phenomena. Coulomb's law describes these forces.

The tension that builds up inside the sphere due to the charges in the same sphere repelling one another is known as electrostatic pressure. Like how a rubber band would be stretched from all points outward, stress would form in it. By maintaining electrostatic pressure and diffusion on the potassium cation, the resting membrane potential is kept constant.

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Answer:

1. La velocidad del vehículo en su trayectoria de descenso es 65.2 m/s.

2. El vehículo forma un ángulo de 57.5° con la vertical.

Explanation:

1. La magnitud de la velocidad del vehículo está dada por la suma de las componentes del vector en la dirección vertical (y) y horizontal (x):

\( v^{2} = v_{x}^{2} + v_{y}^{2} \)

\( v = \sqrt{v_{x}^{2} + v_{y}^{2}} = \sqrt{(55 m/s)^{2} + (35 m/s)^{2}} = 65.2 m/s \)

Entonces, la velocidad del vehículo en su trayectoria de descenso es 65.2 m/s.

2. El ángulo que forma la trayectoria con la vertical se puede calcular con trigonometría:

\( tan(\theta) = \frac{v_{x}}{v_{y}} \)

\( \theta = tan^{-1}(\frac{v_{x}}{v_{y}}) = tan^{-1}(\frac{55}{35}) = 57.5 ^{\circ} \)

Por lo tanto, el vehículo forma un ángulo de 57.5° con la vertical.

Espero que te sea de utilidad!

If the net force on an object becomes zero and remains zero, the object will continue to move at constant velocity.

The net force acting on a body is the addition or the resultant of all the forces acting on the body. When the net force acting on a body is more than zero, it causes motion, but when it is zero, the object will remain at rest or will continue moving with uniform velocity.

This is in line with Newton's first law of motion which states that "a body will continue in its state of rest or will continue to move with uniform velocity unless it is acted upon by a force".

Thus, when the net force on a moving body becomes zero, it will not slow down or speed up, it will continue to move at the same speed. An example of this is when the passengers of a moving car fall forward when the car suddenly comes to a stop.

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The question addresses the stability of the atmosphere and the factors that determine convective stability or instability. It also explains the difference between the adiabatic lapse rate of dry air and wet saturated air.

a) The stability of the atmosphere is determined by the temperature profile and relative densities of the air cell and atmosphere. If the temperature of the surrounding atmosphere decreases with altitude at a rate greater than the adiabatic lapse rate of the air cell, the atmosphere is considered convectively stable.

In this case, the air cell will return to its original position. Conversely, if the temperature of the surrounding atmosphere decreases slower than the adiabatic lapse rate of the air cell, the atmosphere is convectively unstable. The air cell will continue moving in the same direction.

b) The adiabatic lapse rate refers to the rate at which temperature decreases with altitude for a parcel of air lifted or descending adiabatically (without exchanging heat with its surroundings). The adiabatic lapse rate of dry air is higher (around \(9.8^0C\) per kilometer) compared to the adiabatic lapse rate of wet saturated air (around 5°C per kilometer).

This difference arises because when water vapor condenses during the ascent of saturated air, latent heat is released, reducing the rate of temperature decrease. A diagram can illustrate the difference between the two lapse rates, showcasing their respective slopes.

c) When wet unsaturated air rises from the ocean surface, its temperature decreases at a rate equal to the dry adiabatic lapse rate. However, if the ambient lapse rate (temperature decrease with altitude) is higher than the adiabatic lapse rate for dry air, a temperature inversion layer forms at higher altitudes.

In this inversion layer, the temperature increases with altitude instead of decreasing. A schematic diagram can depict the temperature changes of the wet air in comparison to the ambient temperature, showing the inversion layer.

Cumulus clouds form at the altitude where the rising moist air reaches the level of the temperature inversion layer. These clouds are formed due to the condensation of water vapor as the air parcel cools to its dew point temperature.

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Answer:

v = 20.31 m/s

Explanation:

p = mv -> v = p/m = 32,500 kg*m/s / 1,600 kg = 20.31 m/s

Answer:

red supergiants can

The time taken to cover a distance is the distance divided by velocity. The alligator will take 20.8 seconds to crawl 25 m with a velocity of 1.2 m/s.

Velocity of an object is the measure of the distance covered by it per unit time. It is the rate of its speed. Velocity is a vector quantity thus, having magnitude and direction.

The higher the velocity, greater will be the distance covered within short time. Velocity is the ratio of change in distance to the change in time. It has the common unit of m/s.

Given that, distance covered by the alligator  = 25 m

velocity = 1.2 m/s

then time  = distance / velocity

t = 25 m/ 1.2 m/s = 20.8 s.

Therefore, the alligator crawls 20.8 seconds to reach 25 m.

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Puck 1 after collision with Puck 2 moves towards the west with a speed of 11 m/s, so Puck 2 will move towards the east with a speed of 16 m/s. Hence, option B is correct.

A collision, also known as an impact, occurs when two entities, such as two pool pieces, a country club, and a ball, a mallet and a nail, two rail cars when joined, or a tumbling object and a floor, suddenly and violently collide in close proximity to one another. The consequence of the impact is affected by the force, the length of time the items are in contact, the materials the two objects are made of, and other factors. According to conventional knowledge, a high-strength steel ball will rebound almost to the same spot from which it was dropped, in contrast to a mud or lead ball.

All of the kinetic energy of the colliding bodies is lost in a fully elastic impact, while the loss of kinetic energy is greatest in a perfectly plastic impact.

Therefore, the velocity of Puck 2 is 16 m/s towards the east direction.

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Answer:

it is a the answer is a btw

Explanation:

Answer:14.8

Explanation:

Trust me

The distance will be = 14.85 m

A region around a charged particle or object within which a force would be exerted on other charged particles or objects.

given :

Charge (q)= 2.45*\(10^{-6}\) C

Electric field (EF) =  100 N/C

to find = ? distance (r)

Electric field = 1/4π∈o * (q/\(r^{2}\))

         100      = 9 * \(10^{9}\) *  ( 2.45*\(10^{-6}\) / \(r^{2}\))

          \(r^{2}\) = 220.5

          r= \(\sqrt{220.5}\)

          r = 14.85 m

The distance will be = 14.85 m

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Answer:

c

Explanation:

i just did this study island and the answer was wrong

Mugabe gained power by using political strategies, forming alliances, and exploiting his status as a liberation hero within ZANU-PF.

Robert Mugabe, the former president of Zimbabwe, was able to build power through a combination of political strategies and alliances. One key factor was his involvement in the liberation struggle against white minority rule in Rhodesia (now Zimbabwe).

Mugabe emerged as a prominent figure within the Zimbabwe African National Union (ZANU) party, which later merged with the Zimbabwe African People's Union (ZAPU) to form the Zimbabwe African National Union - Patriotic Front (ZANU-PF). Mugabe's role as a liberation hero and his ability to mobilize support among the majority black population of Zimbabwe gave him a strong power base.

Within ZANU-PF, Mugabe strategically positioned himself and gained influence by forming alliances and outmaneuvering rivals. He rose to become the party's leader and played a key role in negotiating the Lancaster House Agreement in 1979, which paved the way for Zimbabwe's independence in 1980. Mugabe became the country's first prime minister and later transformed the position into an executive presidency, consolidating his authority.

Mugabe maintained power through various means, including controlling key institutions such as the military, intelligence agencies, and the ruling party. He also utilized patronage networks, distributing resources and positions to loyal supporters within the party and government. Mugabe's policies, such as the controversial land reform program, further solidified his power base by appealing to nationalist sentiments and redistributing land from white farmers to black Zimbabweans.

However, Mugabe's consolidation of power was also marked by authoritarianism, human rights abuses, and a declining economy. His grip on power faced challenges over the years, including opposition movements, internal party factions, and economic crises. Ultimately, his rule came to an end in 2017 when he was ousted from power following a military intervention.

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Answer:

2.13 x 10^-5

Explanation:

light travels at 3.00 x 10^8 m/s

it's like if someone asks how long would it take for a car to go 100 miles if it's traveling 50 miles per hour

you would do

100 ÷ 50

6.4 x 10^3 ÷ 3.00 x 10^8

2.13 x 10^-5

C. Engineers come up  with  scientific questions when they are developing their design, and scientists do research to answer them

Given data

*The given energy is k = 795 J

*The speed of the object is v = 3.5 m/s

The formula for the kinetic energy of the object is given as

*Here m is the mass of the object

Substitute the known values in the above expression as

Hence, the mass of the object is m = 129.79 kg

Each polarizing filter will only allow light waves that are oscillating in a plane perpendicular to its axis to pass through, while blocking those oscillating parallel to its axis.

Since the axis of each filter is rotated by 15 degrees with respect to the previous filter, the intensity of the light passing through will decrease by a factor of cos^2(15) for each filter, where cos(15) is the cosine of 15 degrees. Therefore, the intensity of the light emerging from the last filter will be I_0 * cos^2(15) raised to the power of 7, as there are 7 filters in the stack. This can be calculated as approximately 0.048 I_0 or about 4.8% of the original intensity I_0.

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Answer:

hope it will help you

Explanation:

Answer:

\(\boxed {\boxed {\sf E_K= \ 5,040 \ J}}\)

Explanation:

Kinetic energy is the energy an object possesses due to motion. It is calculated using the following formula:

\(E_K= \frac{1}{2} mv^2\)

The mass of the athlete is 70.0 kilograms. The velocity is 12 meters per second.

Substitute the values into the formula.

\(E_K= \frac{1}{2} (70.0 \ kg)(12 \ m/s)^2\)

Solve the exponent.

\(E_K= \frac{1}{2} (70.0 \ kg)(144 \ m^2/s^2)\)

Multiply the numbers together.

\(E_K= \frac{1}{2} (10, 080 \ kg*m^2/s^2)\)

\(E_K= 5,040 \ kg*m^2/s^2\)

Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule, so our answer is equal to 5,040 Joules.

\(E_K= 5.040 \ J\)

The athlete has 5,040 Joules of kinetic energy.

Answer:

Its A I'm 99.9% sure

Explanation:

The density of a fish is controlled by the expansion and contraction of its air sacs while the density of a submarine is controlled by ballast tanks. It was emphasized earlier that buoyant forces does not equal an objects weight but does equal the weight of displaced water.

The three most fundamental characteristics of an object are mass, volume, and density. Volume indicates something's size, mass indicates how heavy it is, and density is calculated as mass divided by volume. Although you deal with mass and volume on a daily basis, the concept of density is less clear-cut and requires careful consideration.

Mass divided by density equals volume; and. Volume times density equals mass. A liquid's density is a gauge of how heavy it is relative to the amount being measured. The liquid that weighs heavier is more dense if you weigh two liquids with similar volumes or amounts.

The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms.

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a. The ring pushes on the rider with a force of 4.13 × 10^3 N at the top of the ride.

b. The ring pushes on the rider with a force of 5.81 × 10^3 N at the bottom of the ride.

c. The longest rotation period of the wheel that will prevent the riders from falling off at the top is 6.02 s.

A) At the top of the ride, the rider is in circular motion due to the normal force provided by the ring. The force of gravity acts downwards and the normal force acts upwards. The net force acting on the rider at the top is equal to the centripetal force required for circular motion.

The centripetal force is given by:

Fc = mv²/r

where m is the mass of the rider, v is the velocity of the rider in circular motion, and r is the radius of circular motion.

The velocity of the rider can be found from the period of rotation:

T = 2πr/v

v = 2πr/T

Substituting this expression for v into the expression for Fc, we get:

Fc = m(2πr/T)²/r = 4π²mr/T²

At the top of the ride, the normal force is equal to the centripetal force:

Fn = Fc = 4π²mr/T²

Substituting the given values, we get:

Fn = 4π²(59.0 kg)(9.81 m/s²)(9.00 m)/(4.40 s)² = 4.13 × 10³ N

B) At the bottom of the ride, the rider is still in circular motion due to the normal force provided by the ring. The force of gravity acts downwards and the normal force acts upwards. The net force acting on the rider at the bottom is equal to the sum of the centripetal force required for circular motion and the force of gravity:

Fnet = mv²/r + mg

where m is the mass of the rider, v is the velocity of the rider in circular motion, r is the radius of circular motion, and g is the acceleration due to gravity.

Using the same expressions for v and Fc as in part A, we can rewrite the above equation as:

Fnet = Fc + mg = 4π²mr/T² + mg

At the bottom of the ride, the normal force is equal to the net force:

Fn = Fnet = 4π²mr/T² + mg

Substituting the given values, we get:

Fn = 4π²(59.0 kg)(9.81 m/s²)(9.00 m)/(4.40 s)² + (59.0 kg)(9.81 m/s²) = 5.81 × 10³ N

C) The condition for the rider to not fall off at the top of the ride is that the centripetal force required for circular motion is greater than or equal to the force of gravity:

Fc ≥ mg

Substituting the expression for Fc from part A and solving for T, we get:

T ≤ 2π√(r/g)

Substituting the given values, we get:

T ≤ 2π√(9.00 m/9.81 m/s²) = 6.02 s

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Answer:

W=mg=22.5 kg×9.8 m/s2=220.5 N W = m g = 22.5 kg × 9.8 m/s 2 = 220.5 N . By Newton's third law, we realize that the normal force exerted by the table on the box is equal to this value. The underlying logic is that the box is at rest, implying that the net force on it is zero.

Answer:

Answer:

The answer is 600 using metric system

Answer:

600 cm

Explanation:

60,000 ÷100=600

Answer:

mass

Explanation:

The formula based on Newton's second law: F = ma

where F is force. m is mass and a is acceleration.

in the question they said F = ka

k constant is actually the mass of the object

Answer:

mass

Explanation:

Need a quick answer for this one.