Usain Bolt runs at 200 meters in 20.0 seconds. How fast does he run? speed = distance / time

The value of each resistor is 23.51 ohms.

The value of each resistor is calculated as follows;

R₁ = R₂ = R₃ = R

Total resistance, Rt = 3R

V = IRt

V = I(3R)

R = V/3I

R = (67)/(3 x 0.95)

R = 23.51 ohms

Thus, the value of each resistor is 23.51 ohms.

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The fraction of the total kinetic energy that is rotational for a uniform sphere is 1/3.

Option (a) [tex]f = \frac{0.5}{1.5} = \frac{1}{3}[/tex]

Option (b) uniform sphere

            [tex]f = \frac{2}{7}[/tex]

C) uniform hollow sphere

           [tex]f = \frac{2}{5}[/tex]

D) uniform hollow cylinder with inner radius R/2 and outer radius R

           [tex]f = \frac{5}{13}[/tex]

that fraction of total energy as rotational energy is given as

     [tex]f = \frac{\frac{1}{2}Iw^{2} }{\frac{1}{2}mv^{2} + \frac{1}{2} Iw^{2} }[/tex]

   [tex]f = \frac{m k^{2}(\frac{v^{2} }{R^{2} }) }{mv^{2} + m k^{2}(\frac{v^{2} }{R^{2} } )}[/tex]

    [tex]f = \frac{\frac{k^{2} }{R^{2} } }{1 + \frac{k^{2} }{R^{2} } }[/tex]

A) uniform Solid cylinder for cylinder we know that

         [tex]\frac{k\\ ^{2} }{R^{2} }[/tex]  = 0.5

          [tex]f = \frac{0.5}{1.5} = \frac{1}{3}[/tex]

B) uniform Sphere for sphere we know that

        [tex]\frac{k^{2} }{R^{2} } = \frac{2}{5} \\[/tex]

    [tex]f = \frac{0.4}{1.4} = \frac{2}{7}[/tex]

C) uniform hollow sphere for hollow sphere we know that

            [tex]\frac{k^{2} }{R^{2} } = \frac{2}{3}[/tex]

         [tex]f = \frac{\frac{2}{3} }{\frac{5}{3} } = \frac{2}{5}[/tex]

D) uniform hollow cylinder with inner radius R/2 and outer radius R for annular cylinder

             [tex]\frac{k^{2} }{R^{2} } = \frac{5}{8}[/tex]

            [tex]f = \frac{\frac{5}{18} }{\frac{13}{8} } = \frac{5}{13}[/tex]

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The complete question is -

It is well known that for a hollow, cylindrical shell rolling without slipping on a horizontal surface, half of the total kinetic energy is translational and half is rotational. What fraction of the total kinetic energy is rotational for the following objects rolling without slipping on a horizontal surface?Part AA uniform solid cylinder.Part BA uniform sphere.Part CA thin-walled hollow sphere.Part DA hollow, cylinder with outer radius R and inner radius R/2.

The magnitude of the test charge must be small enough so that it does not disturb the issuance of the charges whose electric field we wish to measure otherwise the metric field will be different from the actual field.

As the quantity of authority on the test charge (q) is increased, the force exerted on it is improved by the same factor. Thus, the ratio of force per charge (F / q) stays the same.

Adjusting the amount of charge on the test charge will not change the electric field force.

The charge that is used to measure the electric field strength is directed to as a test charge since it is used to test the field strength. The test charge has a portion of charge denoted by the symbol q.

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The mentioned statement is true.

What is adaptive optics(AO)?

How can adaptive optics(AO) enhance a telescope's capabilities?

Therefore, it is concluded that the mentioned statement is true.

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The difference between sublimation and condensation is that

Sublimation is used to in a separation technique to separate sublime substance from a mixture while condensation is the

is the process where water vapor becomes liquid

This technique is used in chemistry to separate two or more constituents from a mixture

In conclusion, sublimation differs from condensation because sublimation is used to in a separation technique to separate sublime substance from a mixture while condensation is the

is the process where water vapor becomes liquid

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work done will be 2.5872 J

Given :

mass of block = 2kg

distance travelled by block = 20cm

angle of inclination = 40°

To Find :

Work done by gravity

Solution :

Gravity is defined as the force that attracts a body towards the earth or towards any other physical body having mass.

work done by gravity is mgh

If θ is the angle made when the body falls, the work done by gravity is given by,

W = m g h cosθ

W = 2 x 9.8 x 0.2 x cos40°

= 2.5872 J

So work done will be 2.5872 J

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The voltage across all the resistors is the same i.e 120V

Each element of the parallel circuit has the same voltage applied to it. The total current flowing from the source is equal to the sum of the currents across each path. The electric potential difference (V) across each resistor in a parallel circuit is the same. Ohm's law states that I = V / R applies to the current in a resistor. The current will be lowest where the resistance is highest since the V is the same for each resistor. The currents passing through each resistor in a parallel combination have the same voltage across them because of their different resistance values and the laws of Ohms i., If two or more components are connected in parallel, they will be having same difference of potential (voltage) across their ends Parallel circuits are then used as current dividers.

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These wavelengths correspond to the colors: green, red, blue

The wavelength of visible light determines the color that the light appears. Light with the longest wavelength appears red, and light with the shortest wavelength appears violet.

Trichromatic theory states that there are three types of receptor cells in the retina, which reacts to the light of three different wavelength.

These receptor cells are responsible for perception of colors.

A spectrally pure or monochromatic color can be produced by a single wavelength.

According to Trichromatic theory of color vision,

The colors are: green, blue and red.

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Answer:

power p =24 watt

charge q=120 C

time t = 60s

let V be the potential difference

we know that

work done =qV = pt

qV = Pxt

120V = 24 * 60

V = (24 * 60) / 120

V = 12 volts

The amplitude of the wave's electric field is  [tex]\sqrt{2}[/tex] times if the intensity of some electromagnetic wave doubles.

Electromagnetic waves also called EM waves, are waves that are created as a result of vibrations between an electric field and magnetic field.

The formula of Intensity of electromagnetic wave:

where c is speed of light

E is amplitude of electric field

here Intensity of EM waves doubles so,

I' = 2*I

we can say that,

I ∝ E^2

E = sqrt ( I )

E' = sqrt ( 2*I )

hence

E' = [tex]\sqrt{2}[/tex] * E

so, the amplitude of the wave's electric field is  [tex]\sqrt{2}[/tex] times if the intensity of some electromagnetic wave doubles

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Years of research have demonstrated that rats are intelligent creatures who experience pain and pleasure, care about one another, are able to read the emotions of others, and would assist other rats, even at their own expense.

In trials carried out at Brown University in the 1950s, rats were trained to press a lever for food, but they stopped pressing the lever when they noticed that with each press, a rat in an adjacent cage would scream in pain (after experiencing an electric shock).

Rats were trained to press a lever to lower a block that was hanging from a hoist by electric shocks administered by experimenters. A rat was subsequently hoisted into a harness by the experimenters, and according to their notes, "This animal normally shrieked and wriggled sufficiently while dangling, and if it did not, it was jabbed with a sharp pencil until it exhibited indications of discomfort." Even if it wasn't in danger of receiving a shock, a rat watching the scenario from the floor would pull a lever to lower the hapless rodent to safety.

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The director is 132 meters away from the marching band when the sound travels to him at 330 m/s.

The speed of sound is 330 m/s.

Time taken by sound to travel = 0.40 seconds

Speed = Distance/Time

The temperature of the air that the sound travels through affects the speed of the sound. Assuming an air temperature of 59 degrees Fahrenheit (15 degrees Celsius), the speed of sound at sea level on Earth is 761.2 mph (1,225 km/h).

The speed of sound is slowed down because gas molecules move more slowly at lower temperatures; sound travels more quickly through warmer air. As a result, higher in the atmosphere, where it is colder, the speed needed to break the sound barrier drops.

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The value gotten for the velocity after using the use the tools to measure the velocity of the cart after the string was cut is positive

Velocity can simply be defined as the rate of change of displacement with time

Velocity is measured in meters per second (m/s)

So therefore, thee value gotten for the velocity after using the use the tools to measure the velocity of the cart after the string was cut is positive

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Air that is not saturated will cool or heat at a rate of 10 degrees C/1000 meters as it rises or descends, respectively

The rate of the change in temperature which is observed while moving upward in the earth's atmosphere with elevation. It can be positive, negative and zero when the temperature decreases, increases or is constant with the elevation respectively.

For the atmosphere, the drop in temperature of rising air that is  unsaturated air is about 10 degrees C/1000 meters (5.5 °F per 1000 feet) altitude.

That means if a there occur a rise of 1000 m , then the temperature of that thing will decrease to 10 degrees. Every 10°C of temperature from the given temperature will decrease at every rise of 1000 m .Air that is not saturated will cool or heat at a rate of 10 degrees C/1000 meters as it rises or descends, respectively

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The work done by the electric field when moving the charge from a to b is 0.0378 J.

r = √[(a₂ - a₁)² + (b₂ - b₁)²]

r = √[(3 - 6)² + (4 - 0)²]

r = 5 m

W = Fr

W = kq₁q₂/r

W = (9 x 10⁹ x 2.1 x 10⁻⁵ x 1 x 10⁻⁶)/(5)

W = 0.0378 J

Thus, the work done by the electric field when moving the charge from a to b is 0.0378 J.

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The maximum deceleration of the car is 10.5 m/[tex]s^{2}[/tex] approximately. While the stopping distance is 9.3 m

Stopping force is the force required to stop the object in motion. Stopping force is tantamount to frictional force.

Given that a brother approaches a stop sign at a velocity of 14 m/s [E] as the light turns amber, He applies the brakes to get the maximum stopping force while avoiding skidding. The car has a mass of 1500 kg, and the coefficient of friction between the tires and the road is 1.07. Ignoring your brother's reaction time.

The given parameters are;

The normal reaction N = mg

N = 1500 x 9.8

N = 14700 N

The stopping force = μN = ma

1.07 x 14700 = 1500a

15729 = 1500a

a = 15729/1500

a = 10.486 m/[tex]s^{2}[/tex]

From 3rd equation of motion

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] + 2aS

where U = 0

[tex]14^{2}[/tex] = 2 x 10.486 x S

196 = 20.972S

S = 196/20.972

S = 9.3 m

Therefore, the maximum deceleration of the car is 10.5 m/[tex]s^{2}[/tex] approximately. While the stopping distance is 9.3 m

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The net force on a 0.50-cm-diameter eardrum is mathematically given as

F= 0.76969 N

Generally, the equation for Pressure is  mathematically given as

P = ρgh

Therefore

P= 1000*9.8*4

P= 39200 Pa

Where

A= pi*(0.005/2)^2

Generally, the equation for Net force is  mathematically given as

F = PA

F= 39200 *( pi*(0.005/2)^2)

F= 0.76969 N

In conclusion, The net force is

F= 0.76969 N

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Answer:

frictional force, should be applied to the machine

Answer: C) 1000N is needed to be applied.

Explanation: Have a Good day!!

The nucleus that completes the equation given above is 218/85 At, which is option D.

Nuclear fission is a nuclear reaction in which a large nucleus splits into smaller ones with the simultaneous release of energy.

According to this question, the following nuclear fission reaction is given: 222/87Fr = 4/2He+ ?

To find the missing nucleus, we subtract 4 from 222 to get 218, therefore, the nucleus that completes the equation given above is 218/85 At.

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Revolutions made by the blade will be 266 rev

Given:

Constant angular acceleration = 0.82 radians/second^2

number of revolution per minute = 500

To Find:

number of revolution

Solution: Angular Acceleration is defined as the time rate of change of angular velocity. It is usually expressed in radians per second per second.

Initial speed of the helicopter blade, w₁ = 0

The final speed of the blade, wf = 500 rpm = 500 x 2π/60 rad/s = 52.35 rad/s

We need to find the number of revolutions. Firstly we will find the angle turned by the blade. Let the angle is θ

So,

wf^2 - wi^2 = 2αθ

θ = wf^2/2α = 1671 rad

Let there are n number of revolutions made by the blade. So,

n = θ / 2π

n = 1671 / 2 x 3.14 = 266 rev

So, the revolutions made by the blade will be 266 rev

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Answer:

"The wavelengths are the same for both. The width of slit 1 is larger than the width of slit 2."

Explanation:

The full question has not been provided, so I just copied this into the web and found this answer and explanation on quizlet:

"The wavelengths are the same for both. The width of slit 1 is larger than the width of slit 2.

D sin θ = m λ

if the wavelengths are the same, then if the angle is smaller, the slit width must be larger. The top photo shows a pattern that is more closely spaced. That means the angle is smaller. The slit width must be larger."

This answer/explanation should be correct, as we are looking at bright fringes and the formula being used corresponds to the parameters of the question.

Hope this helps!

Its silicon-32 because if you want to find an isotope, you have to add the number of protons (14) and number of neutrons (18) to get 32 as your total.

There are 23 known isotopes of silicon (14Si), with mass numbers ranging from 22 to 44. Stable isotopes include 28Si (92.23 percent), 29Si (4.67 percent), and 30Si (3.1 percent). The longest-lived radioisotope is Si-32, which is created by argon cosmic ray spallation.

silicon-32 has a half-life of about 150 years (with a decay energy of 0.21 MeV) and decays by beta emission to 32P (which has a half-life of 14.28 days) and then to 32S. Si-32 has the second longest half-life after Si-32, at 157.3 minutes. All others have half-lives of less than 7 seconds.

Bismuth, the 83rd element, was previously thought to have the heaviest stable isotope, bismuth-209, but in 2003, researchers in Orsay, France, measured the half-life of 209 Bismuth to be 1.91019 years. Only isotopes of technetium and promethium, as well as all elements with an atomic number greater than 82, are known to decompose via radioactive decay. Because no undiscovered elements are expected to be stable, lead is regarded as the heaviest stable element.

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The tension in the string is 36 N.

To find the answer, we need to know about pseudo acceleration.

Tension of the string= mass × effective acceleration

= 5 × 7.2 = 36 N

Thus, we can conclude that the tension in the string is 36 N.

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Based on all we know about the terrestrial worlds, the  single factor appears to play the most important role in a terrestrial planet's geological destiny is size size of terrestrial planet .

According to the question

Terrestrial Planets:

They belongs to a class of planets that are like the earth

Geological destiny :

Geology is biological destiny: Whatever minerals land or are deposited in a place determine what or who can make a living there millions of years later

Based on all we know about the terrestrial worlds, what single factor appears to play the most important role in a terrestrial planet's geological destiny

i.e

The size of terrestrial planet is one of the factors to play the most important role in a terrestrial planet's geological destiny  

which determines how long the planet can retain internal heat, which drives geological activity because  Smaller worlds cool off faster and harden earlier .

Hence, Based on all we know about the terrestrial worlds, the  single factor appears to play the most important role in a terrestrial planet's geological destiny is size size of terrestrial planet .

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The ball's return velocity is (-20 m/s) before reaching its starting location.

According to the 3rd equation of motion-

An object that is falling freely has a starting velocity of "0"

The object accelerates at a rate of "g."

Let 'h' represent the distance the item travels while in free fall.

We can now get the ultimate velocity of the object shortly before it touches the earth with this equation,

v²=u²+2as

Calculation-

For upward motion,

providing that,

The ball's initial speed is u = +20 m/s.

So, v²= u² + 2as

⇒0= (20)² - 2gH [ where 'H' = maximum height reached]

⇒H= 400/2g

For downward motion,

v²=u²+2as

⇒v²= 0²+2g*400/2g

⇒v²= 400 m/s

⇒v= 20 m/s

Therefore, the ball's return velocity is (-20 m/s) before reaching its starting location.

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Magnetic field lines point leave north poles and enter south poles.

This is referred to as the direction that a small compass points when placed at a location.

They are closed curves which runs from the north pole and enters the south pole thereby making it the most appropriate choice.

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Development length: The actual length of the bent conduit. Gain: Since a conduit bends radially rather than at an angle, the total length will not match the length required for all bends. Gain is the amount of space that is saved by a [tex]90^{0}[/tex] curve.

Conduit benders from Klein Tools are built to function and last longer than even the highest professional standards. To ensure a favourable experience and significantly enhance the final result of your project, it is advised that you become familiar with bending concepts, procedures, and the bender's capabilities. The benders are labelled with various alignment symbols to enable the operator make the bends required to complete any job. This aids bending while executing a ground or air bend. Arrow, teardrop, star point, and angle markings are the symbols on the Klein Tools benders. On certain bender head sides, you can see these markings.

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At 30° north latitude, at the northern edge of tropical (Hadley) cell convection in the northern hemisphere d. becoming drier as it heats up

Hadley cells: A cell in the tropics is called Hadley cell. Ferrel cells: In the middle latitudes the circulation is that of sinking cold air that comes from the poles and the rising warm air that blows from the subtropical high. At the surface these winds are called westerlies and the cell is known as the Ferrel cell.

As air is warmed at the equator it becomes less dense and rises, while at the poles the cold air is denser and sinks.

Because of the rotation of the Earth and the Coriolis Effect, rather than a single atmospheric convection cell in each hemisphere, there are three major cells per hemisphere. Warm air rising at the equator cools as it moves through the upper atmosphere, and it descends at around 30° latitude.

The convection cells created by rising air at the equator and sinking air at 30°  are referred to as Hadley Cells, of which there is one in each hemisphere. The cold air that descends at the poles moves over the Earth’s surface towards the equator, and by about 60° latitude it begins to rise, creating a Polar Cell between 60° and 90°.

correct option is d. becoming drier as it heats up

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Answer: Maryam is driving her car when she glances at the temperature displayed on her dashboard. It says that the temperature is currently 78 degrees outside. This temperature is called a Sensation.

Explanation: To find the answer, we need to know more about the Sensation, perception and psychophysics.

Thus, we can conclude that, the process of sensation happens here.

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