A small object with mass 3.95 kg moves counterclockwise with constant speed 1.65 rad/s in a circle of radius 2.95 m centered at the origin. It starts at the point with position vector 2.95î m. Then it undergoes an angular displacement of 9.10 rad.
(a) What is its new position vector? _____ m
(b) In what quadrant is the particle located and what angle does its position vector make with the positive x-axis? ______ quadrant at _______°
(c) What is its velocity? _____ m/s
(d) In what direction is it moving? _____ ° from the +x direction
(e) What is its acceleration? _____ m/s2
(f) Make a sketch of its position, velocity, and acceleration vectors.

Your true speed if you do not  adjust the speedometer for the new tire size is 68.9 mph.

If you do not adjust the speedometer for the new tire size and speedometer reads 55 mph, your true speed is calculated as follows;

Let your true speed = v

New circumference of the tire / old circumference of the tire = d / 55 mph

The new circumference of the tire is 104 inches

The old circumference of the tire is 83 inches

( 104 / 83 ) = v / 55 mph

v = 55 mph x ( 104 / 83 )

v = 68.9 mph

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The complete question is below:

For the change in tires in problem #1 where new circumference of the tire is 104 inches and the old circumference of the tire is 83 inches , what is your true speed if you do not adjust the speedometer

for the new tire size and speedometer reads 55 mph?

you would measure it ur and 6th form as well and actively open to you by the

Convert: 6,400,000 milligrams (mg) is equal to 6,400 kilograms (kg).

Convert is a process of changing or transforming one type of data into another type of data. This is usually done to make the data easier to use or to make it compatible with other systems. Convert can involve changing the format, type, or structure of a given data set. For example, a file of text can be converted into a different format, such as a PDF, or a spreadsheet can be converted into a different type of spreadsheet, such as an Excel document. Conversion can also be used for data transfer between different systems, such as transferring a file from a computer to a mobile device. Conversion can take place on a computer, or it can be done manually.

To convert milligrams to kilograms, divide the milligrams by 1,000,000.
6,400,000 milligrams / 1,000,000 = 6,400 kilograms

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The horizontal distance the fish travels before hitting the water is independent of the height the fish is dropped from, and the speed at which the pelican is traveling. The horizontal distance is determined only by the time the fish is in the air, which can be found using the equation:

Distance = Speed * Time

To find the time, we use the equation:

Time = sqrt(2 * Distance / Acceleration due to gravity)

Where distance is the height the fish is dropped from (5.4m) and the acceleration due to gravity is 9.8 m/s^2

Time = sqrt(2 * 5.4 / 9.8) = sqrt(2 * 5.4 / 9.8) = sqrt(1.08) = 1.03s

So the fish is in the air for 1.03s and the horizontal distance it travels is given by:

Distance = Speed * Time = 5.0m/s * 1.03s = 5.15m

So the fish will travel horizontally 5.15m before hitting the water.

The mass of Saturn is approximately 1.35 x 10^26 kg.

The mass of Saturn can be calculated using the formula for Kepler's third law, which states that the square of the orbital period of a satellite is proportional to the cube of the semi-major axis of its orbit.

Kepler's third law states that the square of the orbital period of a planet or a satellite (T^2) is proportional to the cube of the semi-major axis of its orbit (a^3). Mathematically, it can be represented as:

T^2 = \frac{4 * \pi^2 * a^3}{G * M}

Where T is the orbital period, a is the semi-major axis, G is the gravitational constant and M is the mass of the central body (in this case, it's Saturn).

Given that we know the orbital period and radius of Titan, we can rearrange the above equation to find the mass of Saturn.

M = \frac{4 * \pi^2 * a^3}{G * T^2}

By plugging in the values for Titan's orbit, we get:

M = \frac{4 * \pi^2 * (1.22 * 10^9 m)^3}{G * (15.9 days)^2}

Keplers third law: T^2 = \frac{4 * \pi^2 * a^3}{G * M}

Saturn mass: M = \frac{4 * \pi^2 * a^3}{G * T^2}

The mass of Saturn is around 1.35 x 10^26 kg.

This is an indirect method, Kepler's third law can only be used to find the relative masses of the central body if we know the relative masses and radii of the orbiting bodies.

we can use this method, but it is not very precise and it relies on the accuracy of the measurements of the orbital data.

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Answer:

Explanation:

Biscuits are sold in cans of 8, so if you have 1 can, you have 8 biscuits.

If you have 2 cans, you have 8 x 2 = 16 biscuits.

If you have 3 cans, you have 8 x 3 = 24 biscuits.

If you have 4 cans, you have 8 x 4 = 32 biscuits.

If you have 5 cans, you have 8 x 5 = 40 biscuits.

In total, if you have 1 to 5 cans, you would have 8 + 16 + 24 + 32 + 40 = 120 biscuits.

There are 40 biscuits in 5 cans and 8 biscuits in 1 can.

Biscuits are packaged and sold in cans, with each can containing 8 biscuits. This means that if you purchase 1 can of biscuits, you will receive 8 biscuits. If you purchase 5 cans of biscuits, you will receive a total of 40 biscuits, which is calculated by multiplying the number of cans (5) by the number of biscuits in each can (8).

This simple calculation helps you determine how many biscuits you will receive based on the number of cans you purchase, making it easier for you to stock up or plan for a party or event. This information can also be useful if you are trying to budget your food expenses, as you can easily determine the cost of a specific number of biscuits based on the price of a can of biscuits.

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The time constant for the discharge of the capacitor is 9.0 × 103 s.

A capacitor is an electronics component that stores electrical energy in an electric field. It is composed of two electrical conductors separated by an insulator, usually a dielectric material. When a voltage potential is applied across the conductors, an electric field is created that stores energy in the form of an electrostatic field between the conductors. The stored energy can be released when the potential is removed, allowing the capacitor to act as a temporary energy storage device. Capacitors are commonly found in many electronic circuits and are used to store and release electrical energy quickly.

The time constant for the discharge of the capacitor can be calculated using the equation τ = RC, where R is the resistance in ohms, C is the capacitance in farads, and τ is the time constant in seconds.

Substituting the given values of R = 9.0 kN and C = 1 F, we obtain τ = 9.0 × 103 N × 1 F = 9.0 × 103 s. Therefore, the time constant for the discharge of the capacitor is 9.0 × 103 s.

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Greater than is the correct answer .

What is resistance ?

Resistance is measured in ohms and represented by the Greek letter omega (Ω). Ohm is named after German physicist Georg Simon Ohm (1784-1854), who studied the relationship between voltage, current and resistance. He has been credited with formulating Ohm's law.

All substances resist the flow of electricity to some degree. They fall into one of two broad categories:

conductor: A material that offers very little resistance through which electrons can easily move. example:

silver, copper, gold, aluminium.

Insulator:

A substance that has a high resistance and restricts the flow of electrons. example: Rubber, paper, glass, wood, plastic.

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Answer:

At 100m, water pressure is 10bar, relative to the surface. But the absolute pressure is 11bar (1bar is the atmospheric pressure on the water surface, plus 10bar water pressure).

Answer:

pressure = 981000 N/m²

Explanation:

To calculate the pressure in liquids, we have to use the following formula:

[tex]\boxed{p = h \rho g}[/tex],

where:
• p = pressure in N/m² (or Pa)

• h = height in m

• ρ = density in kg/m³

• g = gravitational acceleration (9.81 m/s²)

From the question, we know that the height is 100 m, therefore h = 100. The density of water is 1000 kg/m³, therefore, ρ = 1000.

Using this information along with the formula above, we can calculate the pressure:

p = hρg

⇒ p  = 100 × 1000 × 9.81

⇒ p = 981000 N/m²

Therefore, the pressure at a depth of 100 m is 981000 N/m².

According to the question: the radius of the orbit of Mars is 3.86 × 10^11 m.

What is the Mars?

The radius of the orbit of Mars can be found using the equation for the centripetal force:

F = mv²/r

where F is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the orbit.

We can rearrange the equation to solve for r:

r = mv²/F

We know the mass of the sun (1.989 × 10^30 kg) and the gravitational constant (6.672 × 10^-¹¹ Nm²/kg²). We also know that the period of the orbit of Mars is 1.96 years. Since the period (T) and the angular velocity (ω) are related by the equation:

ω = 2π/T

we can calculate the angular velocity of Mars:

ω = (2π)/(1.96 years) = 3.24 × 10^-7 rad/s

Finally, we need to calculate the velocity of Mars, which is related to its angular velocity by the equation:

v = ωr

We can solve for v by substituting the equation for angular velocity and the radius of the orbit of Mars:

v = (3.24 × 10^-7 rad/s)(r)

Now, we can substitute the values for m, v, and F from the equation for centripetal force to solve for r:

r = (1.989 × 10^30 kg)(3.24 × 10^-7 rad/s)²/ (6.672 × 10^-¹¹ Nm²/kg²)

r = 3.86 × 10^11 m

Therefore, the radius of the orbit of Mars is 3.86 × 10^11 m.

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The  sin ⁻¹ (n sin α/2) is an expression for β in terms of the prism's apex angle α and index of refraction n.

What is prism?

A prism is a homogeneous solid, angled-inclined, transparent, and refracting media that is surrounded by two plane surfaces. The typical prism comprises three rectangular surfaces, two parallel triangular faces, and two triangular faces. They are constructed of glass or another transparent material that has been precisely sliced at angles.

What is angle of incidence ?

Angle of incidence refers to the angle that the incident ray forms with the normal. Angle of refraction: This term refers to the angle that a refracted beam makes with the normal.

Since the refracted light travels parallel to the base of the prism, thus it will incident at an angle on the second wall of the prism.

Therefore,

(90-γ )+  (90+γ ) = 180

180- 2γ +α = 180

γ= a/2

Now, applying the snells law at the first wall of the prism.

nsin sinβ = nsinγ

sinβ= n sin (α/2) (nsin = 1)

= sin ⁻¹ (n sin α/2)

Therefore, sin ⁻¹ (n sin α/2) is an expression for β in terms of the prism's apex angle α and index of refraction n.

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The area of the lens is 7903 mm2. It takes technician 45s to clean 135 mm2 then he will take 73.43  hours to complete whole lens.

So first we have to divide the area by 135 mm2

7903 mm2 / 135 mm2 = 58,741

Next up, we have to multiply the calculated ratio by 45 s to get the amount of time that is needed to polish the entire lens.

Total time needed = 58,741 x 45 s

                               = 2643,33 s

time in hours = ?

1 hour = 60x60 sec

1 sec = 1/3600 hours

therefore, time in hours =  2643,33 x 1/3600

                                       = 73.43 hours.

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Answer: Negative acceleration

Explanation: If an object experiences an acceleration an opposite to the direction of motion , the acceleration is negative

According to Newton's second law of motion, 12.8 N is the average force of the Puck

It states that, the rate of change of momentum is directly to the force applied. That is,

F = m(v - u)/t

Given that a 0.16 k/g hockey puck is moving on an icy Horizontal service with the speed of 5 m/s player strikes the Puck by hockey stick after the impact the Puck moves in opposite direction with the speed of 9 m/s of the Puck was the in contact with the stick for 0 points 0.05 s

The average force of the Puck by the stick can be calculated by using the formula above.

Where

Substitute all the parameters

F = 0.16(9 - 5)/0.05

F = 0.16(4)/0.05

F = 0.64/0.05

F = 12.8 N

Therefore, the average force of the Puck by the stick is 12.8 N

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Answer:

special change will happen between popcorn and floor it falls on love and attractions and do marriage . they will get baby after 1 year

on a rainy day, a barometer reads 727 mmhg. It is 0.956 atm pressure in atmospheric pressure unit.

This problem is just unit conversion. So we have to find the value of our pressure in terms of atmosphere pressure in Patm. since we have the pressure in mmhg. The unit atm pressure is defined as the ammount of pressure atmosphere near sea level provides per unit area. To convert mmhg into atm, we have to multiply the value with (1 ÷ 760). Because the conversion formula is to divide the pressure value by 760. Now our value is 727 mmhg. So, 727× (1÷760) = 0.95657 atm. This is how we get the answer 0.956 atm. it is a very simple conversion method. you just have to remember the value 760.

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The critical angle for glass materials with a refractive index 1.60 is 38.7°.

The critical angle in optics is the incidence angle at which the refraction angle is 90 degrees.

It is possible to calculate the link between the critical angle and the refractive index since the critical angle is inversely proportional to the refractive index.

Refractive index = 1/sin C

where C is the critical angle

Hence, C = sin⁻¹(1/refractive index)

For the glass material, C =  sin⁻¹(1/1.60)

C = 38.7°

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Thoughts and behavior that are different from most of the rest of your cultural context.

What is meant by cultural ?

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The Rank of the vectors is D A C B.

What is Vectors?

In contrast to a scalar number, a vector quantity also includes a direction component that aids in locating one point in relation to another. Here is more information on vectors. A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. In mathematics, a vector's magnitude is defined as the length of a segment of a directed line, and the vector's direction is indicated by the angle at which the vector is inclined.

A vector primarily consists of two elements, the horizontal component and the vertical component. The horizontal component's value is cos, and the vertical component's value is sin. Here is further information about vector components.

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20m/s will be the answer .

What is axon ?

Axons are the elongated parts of neurons and are located in the middle of the cell between the soma and axon terminals. Each neuron in the brain has an axon that meanders away from the body of the cell. In axons, which are several times thinner than a human hair, electrical impulses travel away from neurons and are received by other neurons.

In size, an axon can occupy more than 95% of the total volume of a neuron. Axons vary widely in length. Many are only about 1 millimeter long, but the longest, such as those that extend from the brain to the spinal cord, can stretch over a meter. Axons typically develop collateral branches, called axonal collaterals, that allow one neuron to send information to multiple other neurons. Like the root of a tree, these collateral branches divide into small extensions called terminal branches with synaptic terminals at the top.

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The type of electromagnetic radiation that has a wavelength just a bit shorter than that of visible light is ultraviolet (option A).

Electromagnetic radiation is the radiation (quantized as photons) consisting of oscillating electric and magnetic fields oriented perpendicularly to each other, moving through space.

These radiation are all encompassed collectively as the electromagnetic spectrum, which is the entire range of wavelengths of all known electromagnetic radiations extending from gamma rays, to X-rays through visible light, infrared, to radio waves.

The components of the EM spectrum and their respective wavelength are as follows:

Therefore, ultraviolet radiation is the component of EM spectrum that has a bit shorter wavelength than visible light.

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Answer:

To find the frequency of the microwaves, we can use the equation f = c / λ, where f is the frequency, c is the speed of light (approximately 3 x 10^8 m/s), and λ is the wavelength of the wave. For example, if the wavelength of a microwave is 14 cm, we can convert this to meters and use it in the equation to calculate its frequency which will be 0.14m.

Plugging in the numbers and solving we have:

f = 3 x 10^8 m/s / 0.14m = 2.143 x 10^9 Hz

So, the frequency of the microwaves in the oven is approximately 2.143 GHz

The average speed he needs to reach in his second round is 54.55km/hr

When two speeds of x and y km/h are used to travel a distance, the average speed is determined as

The distance traveled divided by the time taken is the most popular formula for calculating average speed. The alternative formula is to add the initial and final speeds together, then divide by 2.

average speed= 2xy/(x+y)

He needs to reach his second round in order to attain the overall average speed of 60 mph required for the test will be-

Required average speed= (2x60x50)/60+50

= 6000/110

=54.55km/hr

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The speed of the wave is 0.2 m/s.

What is speed ?

A shift in an object's location, either in direction or speed. How fast something is travelling is determined by how far it has travelled in relation to how long it took. Speed is considered a scalar quantity because it only has a direction and no magnitude.

What is wave ?

An energy-conducting disturbance in a medium known as a wave is one that does not involve any net particle motion. It could manifest as elasto-deformation, a shift in pressure, electric or magnetic intensity, electric potential, or temperature.

Therefore, the speed of the wave is 0.2 m/s.

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Rank in order, from smallest to largest, the torques T1 to T4 about the centers of the circles is T4>T3=T2>T1 .

What is torque ?

Torque is the name for a force that can cause an item to revolve around an axis. Just as in linear kinematics, torque propels an object's rate of motion in the direction of an angular acceleration.

What is circle ?

When a group of points moves in a plane so that their separation from a fixed point remains constant, they form a circle. Both the fixed point and the fixed distance are referred to as "centre" and "radius," respectively.

Torque is just Farr i.e. the radius multiply by the component of force perpendicular to it, or the Force multiplied by the component of radius perpendicular to it. In this case, F and r are perpendicular all the time. So the Torques are:

a)Fr

b)2Fr

c)F2r=2Fr

d)2F2r=4Fr

Now, the order can be easliy assigned. T4>T3=T2>T1

Therefore, rank in order, from smallest to largest, the torques T1 to T4 about the centers of the circles is T4>T3=T2>T1 .

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The box will be going at a speed of 9 m/s when it hits the ground. This is calculated by dividing the work done (18 joules) by the mass of the box (1 kg).

What is mass?

Mass is a fundamental property of all matter, and is usually measured in kilograms (kg). Mass is not affected by gravity, whereas weight is. Mass is related to the inertia of an object, meaning the resistance of an object to changes in its speed or direction of motion. Mass can be conserved, meaning that the total amount of mass in a system remains constant, even if it is transferred from one object to another. Mass is a useful measure for describing the amount of matter in a system, and it is an important concept in physics and chemistry. Mass is also related to energy, since matter and energy are interchangeable. The total amount of energy in a system is equal to the mass of the system multiplied by the speed of light squared. Mass also plays an important role in understanding the behavior of particles, atoms, and molecules.

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At every stage of the formation process, astronomers have seen a wide variety of stars.

An buildup of gas and dust falls under the influence of gravity to generate stars. From the moment the first gas cloud begins to compress to the time the star is formed and begins to shine like the Sun, the process of star creation takes roughly one million years. Large (molecular) clouds of gas and dust with a lot of dust particles are ideal for star formation. Visible light cannot pass through the dust, but infrared radiation may. The mass of the material that originates at a star essentially affects its life and fate because gravity is the factor that causes stellar formation.

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The wavelengths that appear in the emission spectrum are the ones that correspond to the transitions of electrons from a higher energy level to a lower energy level.

Wavelength is a measure of the distance between two successive crests or troughs of a wave. It is expressed in units of length, such as meters, centimeters, or nanometers. Wavelength is a fundamental property of any wave that is determined by its frequency and speed. The speed of a wave is determined by its medium; for example, light waves travel faster in a vacuum than in air. Wavelengths of different types of waves can differ significantly. Examples of different types of waves include sound waves, radio waves, and light waves

In this diagram, the transitions represented are from level 3 to 1, from level 3 to 2, and from level 2 to 1. Therefore, the wavelengths that appear in the atom's emission spectrum are from wavelength 3 to 1, from wavelength 3 to 2, and from wavelength 2 to 1.

The wavelengths that appear in the absorption spectrum are the ones that correspond to the transitions of electrons from a lower energy level to a higher energy level. In this diagram, the transitions represented are from level 1 to 2, from level 1 to 3, and from level 2 to 3. Therefore, the wavelengths that appear in the atom's absorption spectrum are from wavelength 1 to 2, from wavelength 1 to 3, and from wavelength 2 to 3.

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