a circular platform of radius 4.0 m is initially spinning with an angular velocity of 8.0 rad/s. the platform accelerates for 2.0 s while passing through a displacement of 10. rad. what is the angular acceleration of the system.

a) The angular acceleration of a disk is 2.0 rad/s².

b) The average angular velocity of the disk is 5 rad/s.

The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second.

Rotational acceleration is another name for angular acceleration. It is a numerical representation of the variation in angular velocity over time.

A pseudoscalar, angular acceleration, exists. If the angular speed rises counterclockwise, the sign of angular acceleration is taken to be positive; if it grows clockwise, it is taken to be negative. Angular acceleration is used to study the motion of rotating objects like the wheel, fan, and earth.

Assume that the sense of rotation is positive.

This means that w, α, and other quantities will then be positive also.

a) we know,

25 rad = 1/2 α 5²

α = 2.0 rad/s²

∴ the angular acceleration of a disk is 2.0 rad/s².

b) w avg = Δθ/Δt

w avg = 25rad/5s

w avg = 5rad/s

∴ the average angular velocity of the disk is 5 rad/s.

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Water's high specific heat capacity explains why why water bonds with other molecules.

The correct answer choice is option a.

Water has the ability to easily attract other molecules simply because of the fact its hydrogen and oxygen components is made up of positive and negative ions respectively.

Technically, the bonds in hydrogen possess a form of electrostatic force which makes it very possible for water to bond with other molecules with its high specific heat capacity.

So therefore, we can now confirm and deduce that from the simple note given above that the hydrogen bonds presence in water molecule makes it easy for water to combine with other molecules.

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The size of the shadow hangs on the distance of the source of light and on the angle at which the light rays drop on the object.

A person or object chunks more light when the sun is low in the sky. More brick light makes shadows longer. Less light is wad when the sun is high in the sky. This makes shadows shorter. The angle at which light hit an object affects the size and shape of its shadow. Shadows are longer when the light source is at a low angle (side on) and squat when the light source is at a higher angle (overhead). find design when investigating how shadows change size and how a shadow is formed understand the role of light-position

So we can conclude that The Sun's position in the sky influences the length of the shadow. When the Sun is low on the horizon, the shadows are long.

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When a block slides at constant speed down a ramp while acted on by the forces.

A. True

B. False

C. False

The magnitude of dynamic friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The magnitude of static friction is directly proportional to the magnitude of the normal force and the roughness between the sliding surfaces. The normal force is not necessarily equal to gravity, but the force perpendicular to the surface on which the object is sliding.

In other words, the normal force is the force that pushes two surfaces together, and the stronger the normal force the stronger the frictional force. Another fairly common force is the frictional force. Similar to the normal force, it is caused by direct contact between surfaces. However, normal forces are always perpendicular to the surface while frictional forces are always parallel to the surface.

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1)The current flowing when:

(A) 75 m C pass a point in I min will be 1.25 *  [tex]10^{-3}[/tex] A

B) 0.5 GC pass a point in 2 hours will be  0.5 * [tex]10^{9}[/tex] C

C)  2.0 MC pass a point in 1000 hours will be 2 * [tex]10^{6}[/tex] C

The charge flow when the current flow is:

(A) 6.0 A for 5 min will be 1800 C

B) 250 mA for 4 hours will be 3600 C

C) 2.5 KA for 50 s will be 125 *  [tex]10^{3}[/tex] C

3A)  [tex]10^{9}[/tex] seconds will it take for pass 25 MC at a current of 25 mA

B) 4 seconds will it take for pass 48 C at a current of 12 A

C) 90 seconds will it take for pass 360 C at a current of 4.0 A

4) A) Potential difference  across the resistor will be  0.4 V

B) Total charge flow in 3 minutes will be  18 C

1 )

current = charge / time

A) 75 m C = 75 * [tex]10^{-3}[/tex] C

current = 75 * [tex]10^{-3}[/tex] C / 60 = 1.25 *  [tex]10^{-3}[/tex] A

B ) 0.5 GC = 0.5 * [tex]10^{9}[/tex] C

current =  0.5 * [tex]10^{9}[/tex] C  / 216000 = 0.0023 * [tex]10^{5}[/tex] =2.3 * [tex]10^{2}[/tex] A

C) 2.0 MC  = 2 * [tex]10^{6}[/tex] C

current =  2 * [tex]10^{6}[/tex]  / 36 * [tex]10^{5}[/tex] = 0.0556 * 10 A

2) charge = current * time

A) Q 1 = 6 * 300 = 1800 C

B) Q2 = 250 * [tex]10^{-3}[/tex] * 14400 = 3600 C

C) Q3 = 2.5 * [tex]10^{3}[/tex] C * 50 = 125 *  [tex]10^{3}[/tex] C

3 )

time = charge / current

A) T1 = 25 * [tex]10^{6}[/tex] / 25 * [tex]10^{-3}[/tex] = [tex]10^{9}[/tex] seconds

B) T2 = 48 / 12 = 4 seconds

C) T3 = 360 / 4 = 90 seconds

4)

a) V = IR ( using ohm's law )

       = 0.1 * 4 = 0.4 V

b) charge = current * time

                = 0.1 * 180 = 18 C

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Answer:

Explanation:

c = 180

i have same problem and it work

Number of photons emitted per second are 2928.02×10²⁵

Photons, also called light quanta, are small energy packages of electromagnetic radiation. Photon energy depends on the frequency of the radiation. There are photons of all energies, from high-energy gamma rays and x-rays to visible light, low-energy infrared and radio waves. All photons travel at the speed of light. A photon, considered among sub-atomic particles, is a boson with no charge, no rest mass, and no spin unit. They are field particles that are thought to be carriers of the electromagnetic field.

For the given question:

Number of photons = power/energy

n = P/E

Power =  521 KW

Since energy is not given, we need to calculate it,

Using, E = h × f

Where, h = plank's constant (6.62607015×10⁻³⁴ J-Hz⁻¹)

f = frequency (849×10³ Hz)

Substitute the values in the equation for calculation of energy:

E = h × f

E = 6.62×10⁻³⁴ × 849×10³

E = 5620.38×10⁻³¹ J

E = 5.62×10⁻²⁸ J

Now, for number of photon:

n = P/E

n = 521×10³/5.62×10⁻²⁸

n = 2928.02×10²⁵ photons

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The Fahrenheit setting, since 1 degree Fahrenheit is smaller than 1 degree Celsius.

For general use, a straightforward formula exists to convert temperatures from Fahrenheit to Celsius. Just subtract 30 from the Fahrenheit value, and then divide that result in half.

Most objects we measure including length, width, time, and other dimensions—have one thing in common: their values all begin at zero. Zero of any of those units may be converted into another sort of unit quite easily because we all know exactly how long zero centimeters or inches are. Inches, metres, and centimetres all equal zero. As an illustration, let's use inches and centimetres. To move from 0 inches to 1 inch, we need to add 1 inch. This much is clear.

Similarly, we just need to add 1 centimetre to go from 0 centimetres to 1 centimetre. The quantity of space we are adding is the only distinction between adding one inch or one centimetre. One inch is 2.54 centimeters, according to the connection between the two units.

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Knowing the kinetic static force coefficient.

What is oscillation ?

Oscillation is the process by which a quantity or measure varies in time around its equilibrium value. Another definition of oscillation is the periodic variation of a substance between two values or around its central value.

What is kinetic force?

A force that acts between moving surfaces is referred to as "kinetic friction." A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' coefficients of kinetic friction will determine how much force is applied.

For both blocks to oscillate together w^2=K/((M+M))

Maximum accelartion =a_(n= w^2 ) A= K/((M+M))A

For ⏊ kg block, μmg = 〖ma〗(n= )  μg

μg =K/((M+M))A

= 0.45×9.8 = 150/((2.1+1)) A

A=0.0914m

Max speed, vm=wA=  √(k/(M+M)) A

=√(150/((2.1+1))) × 0.0914

= v(m=) 0.636 m/s

Therefore, the maximum speed is  0.636 m/s.

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To reduce the uncertainty in the measurement of the period in oscillation.

A mechanical device that oscillates swings from side to side. A peg-and-slot can convert it into a rotary motion (rotating in a circle). The similar technique can be used to convert rotary motion to oscillating motion.

Sine and cosine functions can be used to describe the motion of a simple harmonic oscillating system where the restoring force is directly proportional to that of the displacement and acts in the direction opposite to that of displacement. One illustration is a weight fastened to a spring. The weight is in equilibrium when it is at rest. If the weight is reduced, the mass is subject to a net restoring force (potential energy)

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The period of the  object undergoing simple harmonic motion   is

simple harmonic motion sometime shortened as SHM may be a sort of periodic movement where the restoring drive on the moving object is straightforwardly relative to the magnitude of the displacement of the object and acts towards the object's equilibrium position. It comes about in an oscillation that proceeds inconclusively, on the off chance that uninhibited by friction or any other dissemination of energy.

we are given the time taken to complete the distance covered between two  zero velocity  points apart from the distance of   41.6 cm which is  0.12 so the period  will be  = 2T = 2 * 0.12 = 0.24 s

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Speed, temperature, and age are not vector numbers, whereas velocity and acceleration are vector quantities.

Vector is quantity has both magnitude and direction. It is represented by an arrow whose length is proportional to the quantity's magnitude and whose direction is the same as the quantity.

While a vector lacks position, it does have magnitude and direction. Since they have a magnitude and a direction, velocity and acceleration are both vector quantities.

An object is accelerating if its speed doesn't change but its direction does. It's critical to keep in mind that acceleration and velocity don't necessarily follow the same path.

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For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration is: E. is always zero.

Projectile motion can be defined as a form of motion which is experienced by a physical object that is projected near planet Earth's surface while moving along a parabolic (u-shaped curve) path, and under the influence of a gravitational force only.

Based on scientific research and records, we can infer and logically deduce that the initial horizontal velocity of an object undergoing a projectile motion is always equal to its final horizontal velocity.

Additionally, the horizontal component of the acceleration of a physical object that is undergoing a projectile motion is always equal to zero (0) meter per seconds square because it is experiencing a constant velocity.

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Complete Question:

For general projectile motion with no air resistance, the horizontal component of a projectile's acceleration

A. remains a non-zero constant

B. continuously decreases

C. continuously increases

D. first decreases and then increases

E. is always zero

Answer: 3/4 net decline
(three quarters)

Explanation:

To draw a free body diagram, draw the object of interest, plot all the forces acting on it, and decompose all force vectors into their x and y components.

A separate free body diagram must be drawn for each object in question. There are not always four forces acting on an object. The number of forces represented in the free body diagram can be one, two, or three. External forces acting on an object include friction, gravity, normal forces, drag, tension, or human force by pushing or pulling. In non-inertial frames (see Frames below), conceptual forces such as centrifugal pseudo-forces are appropriate.

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Explanation:

Because it is a mechanical wave and it need material medium to travel through it.

The water pressure as it exits into the air is P2 = Patoms

b) The height, h of the standing column of water is 4.6m

By Bernoulli's principle,

p1 - p2 = ρgh

h = 45 × [tex]10^{3}[/tex] / 1000 × 9.8

h = 4.6m

The relationship between a fluid's speed and pressure is described by Bernoulli's principle, which at first glance seems paradoxical. Many people think that Bernoulli's principle shouldn't be true, but this may be because they don't grasp what Bernoulli's principle actually states. According to Bernoulli's principle, which is stated below: Higher fluid velocity sites will experience less pressure than slower fluid velocity points inside a horizontal fluid flow. Thus, in a horizontal water pipe with a variable diameter, areas of fast-moving water will experience lower water pressure than areas of slow-moving water Since many individuals equate high speeds with high pressures, this may seem paradoxical to them. However, we'll demonstrate in the following section that this is really another way of expressing that water will accelerate if there is greater pressure behind it than in front of it. We will explain how Bernoulli's concept came to be, illustrate it in greater detail, and attempt to lessen its mystique in the part that follows.

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the revolutions are about 116 revolutions

what is revolution?

A revolution is the movement of one thing around a centre or another object, the forcible overthrow of a government by the people, or any abrupt or large change.

Our solar system, which includes the sun, planets, and numerous asteroids, formed around 4.5 billion years ago. The gravitational collapse of a massive cloud and dust in space resulted in the formation of the solar system. This caused a disturbance in the cloud, causing clumps of gases to form due to gravity.

t=45.7s

α=116 revolutions

ω₀=32.o rad/s, ω=0

α=-0.700 r/s²

ω= ω0 +at

0=32.0r/s+ (-0.700r/s2)t

T= -32/-0.700

=45.7s

We use the equation below to find revolutions.

ω2= ω20 +2aα                        

substitute the values

0=(32)2 + 2(-0.7r/s2)α

α=731 rad

the rads are converted to revolutions:

α=731x1/2π

=116 revolutions

so the revolutions are about 116 revolutions

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The curvature radius of the lens surface is 0.1089 meters.

The convex lens is a lens that converges rays of light that convey parallel to its fundamental axis (i.e. converges the incident rays toward the main axis) which is highly thick throughout the middle and skinny at the decrease and higher edges. the edges are curved outward in preference to inward.

Calculation:-

Since the double convex is symmetric in nature,

R₁ = R

R₂ = - R

Given, Refractive index (n) = 1.33

The focal length of the double convex lens (l) = 0.156

Now,

1/f = (n-1) (1/R₁ - 1/R₂)

1/f = (n-1) (1/R + 1/R)

1/f = (n-1) × (2/R)

R = 2(n-1)f

   = 2 × (1.33 - 1) × 0.165 meter

   = 0.1089 meter

Hence, the radius of curvature of the lens surface is    = 0.1089 meter

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The kind of electronic transitions that is responsible for colored light being given off is called emission.

Emission is the discharge of something, particularly radiation or gas. Emission spectrum or line spectrum is the given off of electromagnetic radiation when an electron transits from a higher energy level to a lower energy level. During the course of transition from one level to another, energy generated are emitted in the form of white light by the atoms and molecules. When electrons in the ground state of an energy level is heated, it rises to a higher energy level. It thus releases energy quickly to maintain a balanced state or go back to the ground state. If the energy released is equal to the energy that produces white light, it will form colored light.

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The angular acceleration of the wheel is -20.25 rad/sec^2

Angular acceleration is defined as the rate of change of angular velocity over time.

so, α = 2*(θ  -  ωo t ) / t^2

angular velocity of the wheel = ωo  = 96.0 rad/sec

time taken by the wheel to rotate = t = 7 sec

angular distance travelled by the wheel  = θ 28 rev

As we know that,

In one revolution the wheel completes 360 degrees which is equals to  6.28319 rad

therefore angular distance traveled = 28 rev * 6.28319 rad

So, the angular acceleration = 2*(28*6.28 -  96*7) / 7^2 = -20.25 rad/sec^2

The question is incomplete, the complete question is 'A rotating wheel requires 7.00 s to rotate 28.0 revolutions. its angular velocity at the end of the 7.00-s interval is 96.0 rad/s. what is the constant angular acceleration (in rad/s) of the wheel?'

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5ohms is the resistance of the brake light in ohms.

Resistance is the degree to which a substance obstructs or opposes an electric current. Electric current is the flow of electrons. To better understand resistance, imagine how difficult it would be for a person to move from one shop to another in a crowded market.

The following is the equation to use Ohm's Law to compute resistance: R = V I, where R is the resistor's resistance expressed in ohms () and V is the voltage drop expressed in volts.

POWER(watts) = VOLTAGE * AMPERAGE

AMPERAGE = POWER(watts) / VOLTAGE

AMPERAGE = 30/12 = 2.5

RESISTANCE(ohms) = VOLTAGE / AMPERAGE

R = 12/2.5 = 4.8ohms

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CT scan stands for computerized x-ray imaging in the transverse plane.

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A thick magnetic disk made of aluminum platters and It uses read/write heads to access data stored on the platters, that is correct statement.

Hard disk drives are thick magnetic disks made of aluminum platters, They use read/write heads to access data stored on the platters. They have up to several TB in storage capacity and their cost per MB is cheap. Solid state drive is a flash device with storage capacity similar to a small hard drive.

For operation point of view, Hard disk drives are bit slower than solid state drive are faster. so using a solid state drives devices are booted up fast. In case of price point of view, SSD devices are more costly than HDD.

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The initial speed of the projectile launched at an angle of 30 above the horizontal from the top of a 10m high cliff is 34.2 m / s

According to equations of motion,

s = u t + 1 / 2 at²

s = Displacement

u = Initial velocity

t = Time

a = Acceleration

H = 10 m

t = 4 s

θ = 30°

g = 9.8 m / s²

Here the object is launched art an angle from a height. So,

s = - H = - 10 m

u = uy

While considering vertical motion,

a = - g = - 9.8 m / s²

- H = uy t - 1 / 2 g t²

- 10 = 4 uy - 1 / 2 * 9.8 * 4²

4 uy = 68.4

uy = 17.1 m / s

sin θ = uy / u

u = 17.1 / sin 30°

u = 34.2 m / s

Therefore, the initial speed of the projectile is 34.2 m / s

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Atomic mass = 220

Atomic number = 86

symbol = 220/86 x

Alpha decay is demonstrated here

The atomic mass of the new atom = a = 224 - 4 = 220

The Atomic number  of the new atom  = z = 88 - 2 = 86

Symbol of new atom will be = 220/86 x

A radium nucleus undergoes alpha decay to form a different element and an alpha particle .

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The final angular velocity of the merry-go-round is 8 rad/s.

The radius of the Merry-go-round is 1.5 m and it is spinning with a speed of 2rad/s the girl pushes on it for 5 revolutions which applies and acceleration of 3rad/s².

The final angular velocity of the merry-go-round can be given by the equation,

W'² - W² = 2AS

Where,

W' is the final angular velocity,

W is the initial angular velocity,

A is the angular acceleration,

S is the angular displacement which is 10 rad in this case.

Putting values,

W'² - (2)² = 2(10)(3)

W' = 8rad/s.

So, the final angular velocity is 8rad/s.

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compared to a solid wire of the same gauge, stranded wire is more susceptible to interference.

A solid wire consists of a solid metal core while stranded wires are made of a quantity of thinner wires that are twisted together into an organized bundle.

But because of the bundle feature of the stranded wires, they have more surface areas in comparison to the solid wires, so there is more chances to have dissipation in this type of wires, specially when high frequency current is being passed.

Due to more dissipation it is more likely to have interference.

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The conservation of angular momentum is the reason that (nearly) all of them rotate in the same direction.

The nebular hypothesis is regarded as the most widely accepted theory of planetary creation. According to this theory, a massive molecular cloud several light-years across gravitationally collapsed to create the Solar System 4.6 billion years ago.

The nebular hypothesis states that our solar system arose at the same period as our Sun. The nebular hypothesis proposes that a spinning cloud of dust called a nebula, composed primarily of light elements, flattened into a protoplanetary disk and developed into a solar system made up of a star with orbiting planets .

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When rain is falling vertically at 8m/s then the speed of the car is calculated to be 4.618 m/s.

The velocity of the raindrops adds to the velocity of the car to produce a velocity of the rain relative to the car.

As the surface becomes rougher, friction increases and on rainy days, we are more likely to slip because water acts as a lubricant between feet and the ground. Dry friction is converted to fluid friction by rainwater.  Rain drops have a uniform type of motion

Given rain is falling vertically with 8 m/s speed

and rain drop makes an angle of  30°

As we know that, tan∅ = V (horizontal) / V (vertical)

Hence,  V (horizontal)= tan ∅ *  V (vertical)

= tan (30° ) * 8

speed of the car​ = 4.618 m/s.

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