solve: A car travels 2 km North , 10 km East, then 3 km West. pythagorean theorem

True. The partial pressure of gas that is made up of a mixture of gases is the sum of the individual pressure of the gases.

Dalton's law of partial pressure of gases is one of the gas laws that take into consideration the fact that a gas can be made from a mixture of non-reacting gases.

According to him, if a gas is made as such, the pressure of the gas would be the sum of the individual pressure of the component gases. This means that each gas contributes partially to the overall pressure of the gas mixture.

Thus, if gas A is a mixture of gas B and gas C. The pressure, P, of gas A is given as:

P = Pb + Pc where Pb and Pc are the partial pressure of gases B and C respectively.

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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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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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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 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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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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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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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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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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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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No, the light emitted from the source is not polarized

Bypassing it through a polarizing filter or other polarizing substance, light can be made polarized. After passing through a polarizing filter, the intensity of polarized light I is equal to the original intensity I0 cos2, where I0 is the original intensity and is the angle formed by the polarization's direction and the filter's axis.

Unpolarized light is diminished by a factor of 12 when it travels through a polarizer. Along the polarizer's axis, the transmitted light is polarized. The only parameter that is unaffected by any phenomenon, including reflection, refraction, interference polarization, etc., is frequency. The polarization phenomenon has no effect on light frequency.

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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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Vega, the brightest star in the constellation lyra, has a parallax angle of approximately 0.13 arcseconds,  approximately  Vega will be 25.076 Light year or 7.692 Parsec away from the sun

The parallax angle is the angle between the Earth at one time of year, and the Earth six months later, as measured from a nearby star.

Mathematically it can be understood as that the parallax angle is the angle which is taken from a point at one time on the earth and again after six months later from the same point on the earth. The parallax angle is the semi-angle of inclination between the two lines to sight.

Stellar parallax is the basis for the parsec, which is the distance from the Sun to an astronomical object that has a parallax angle of one arcsecond.

Distance (in parsec) = 1 / (parallax angle ( arcsec))

given

parallax angle = 0.13 arcseconds

Distance (in parsec) = 1/ 0.13 = 7.692 Parsec

if 1 Parsec = 3.26 Light year

So, 7.692 Parsec will be equal to =  3.26 * 7.692 = 25.076 Light year

                                                        ≈ 25.076 Light year

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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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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 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 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 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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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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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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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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1MeV = 1.6 x 10-13 J and  3.5 x 1011 joules of energy is energy in joules per kilogram of reactants.

The amount of fuel needed to meet US expectations for energy consumption over the next ten years.
In the US, each person uses 3.5 x 1011 joules of energy annually. 310,000,000 people make up the present population, thus use 1MeV = 1.6 x 10-13 J in your calculations.
In the US, annual energy consumption per person is equal to 3.5 x 1011Joules (estimated, varies by source, August 2009)
USA population: 310,000,000, roughly.
One mega electron volt, or one million electron volts, is designated as MeV. A particle with one electron charge will gain one MeV of energy when it passes through a potential difference of one million volts in a vacuum.

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At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.

Note that  one quark is never found on its own but if particles are said to be smashed together and quarks are found, they are said to be like ends of rubber bands that expands.

Hence, At the time of quark confinement, when the universe was 10-6 seconds old, there is found to be one additional proton for every billion antiprotons.

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Mass is the same, weight is less

As we know that the mass of the object is the measurement of the quantity of the matter that is present in it

So here we can say that if the mass of the object is m then its total quantity of the matter that is present in it is given as

mass = (density) × (volume)

Now for the weight of the object is defined as the force of gravity due to planet

Fg = mg

so the weight of the object is depending on the acceleration due to gravity of the planet

As we know that the gravity of moon is smaller than the gravity of the earth so here weight on the moon will be smaller than the weight on the Earth

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Answer:

1 m = 39.37 in = 3.281 ft

1500 m * 3.281 ft / m = 4922 ft

(5280 - 4922) / 4922 = .073 = 7.3 %

(Note - 1600 m often replaces the 1 mi run)

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 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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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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