the illumination lights in an operating room use a concave mirror to focus an image of a bright lamp onto the surgical site. one such light uses a mirror with a 23 cm radius of curvature.

\(FeS_2\) is the limiting reactant and \(O_2\) is the excess reactant and 160.14 grams of \(SO_3\) are produced.

Given equation is: \(4FeS_2 + 15O_2 = 2Fe_2O_3 + 8SO_3\)

Calculating molar mass of \(FeS_2\), \(O_2\), \(Fe_2O_3\) and \(SO_3\)

We have: molar mass of \(FeS_2\) = 55.85 g/mole + 2(32.07 g/mole) = 119.99 g/mole

molar mass of \(O_2\) = 2(16.00 g/mole) = 32.00 g/mole

molar mass of \(Fe_2O_3\) = 2(55.85 g/mole) + 3(16.00 g/mole) = 159.69 g/mole

molar mass of \(SO_3\) = 3(16.00 g/mole) + 32.07 g/mole = 80.07 g/mole

We will use the balanced chemical equation to determine the limiting reactant: \(4FeS_2 + 15O_2 -- > 2Fe_2O_3 + 8SO_3\)

We will calculate the number of moles of each reactant.

moles of \(FeS_2\) = mass/molar mass = 20.0 g/119.99 g/mole = 0.1667 moles

moles of \(O_2\) = mass/molar mass = 16.0 g/32.00 g/mole = 0.5000 moles

According to the balanced equation, 4 moles of \(FeS_2\) react with 15 moles of \(O_2\) to produce 8 moles of \(SO_3\)

So, 1 mole of \(FeS_2\) reacts with (15/4) moles of \(O_2\) to produce (8/4) moles of \(SO_3\).

The balanced chemical equation tells us that the mole ratio of \(FeS_2\) to \(O_2\) is 4:15 and that of \(FeS_2\) to \(SO_3\) is 4:8 or 1:2.

The limiting reactant is \(FeS_2\) which means that it will react with 15/4 moles of \(O_2\) and produce 8/4 = 2 moles of \(SO_3\).

The number of moles of \(SO_3\) produced is given as follows:

moles of \(SO_3\) = 2 molg = moles × molar mass = 2 mol × 80.07 g/mol = 160.14 g

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The change in momentum of the 1000kg of water is zero, in other words, the momentum before and after the bend is the same.

The change in momentum (Δp) of an object is the final momentum (pf) minus the initial momentum (pi). Since the mass is constant and the direction of the velocity is changed by 90 degrees, the magnitude of the change in momentum can be calculated as:

Δp = m × (vf - vi) = 1000 kg × (1.4 m/s - 1.4 m/s) = 0 kg-m/s

The direction of the change in momentum is perpendicular to the direction of velocity change, in this case, it's in the vertical direction.

So, the change in momentum of the 1000kg of water is zero, in other words, the momentum before and after the bend is the same.

This means that no force is required to change the direction of the water, but the pipe needs the thrust block to hold it in place since the force of the water moving at high velocity could cause the pipe to move or even break.

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The complete question is as follows:

The choice that best describes the United States wind energy supply is mentioned in option C, abundant across the entirety of the country.

In United States of America, the wind power energy is a very important source of energy and it is also a very efficient source of energy in the the country.

In all the given option for choice, option C will be the most appropriate option to best describe the wind energy supply in the United States. Extremely unreliable is obviously not an appropriate choice here, the wind energy may be be evenly distributed in the country but overall it is very abundant in the country.

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Answer:

1. potential 2. kinetic 3. potential 4. kinetic 5. kinetic 6. kinetic 7. kinetic 8. kinetic. potential

Answer:

The static "frictional force" and the "kinetic friction" will act on the box.

Answer:

The mass of the apple is 0.49kg

Explanation:

Potential energy=mgh

P=mgh

6=m×1.22×10

6=12.2m

divide both sides by 12.2

m=6/12.2

m=0.49kg

The first major failure of the ptolemaic theory to predict the results of observations was when the precise observations of tycho brahe.

The Ptolemaic theory is an ancient astronomical model developed by the astronomer Claudius Ptolemaeus (Ptolemy) in the 2nd century CE. It is an Earth-centered model of the universe, in which the planets, Sun, and Moon orbit around the Earth in circles within circles. This theory was accepted by the Catholic Church and was the accepted scientific model until the 16th century, when the Copernican heliocentric model was developed.

This comet moved in an orbit that was not consistent with the predictions of the ptolemaic system. This led to the formation of the heliocentric model of the solar system, which replaced the ptolemaic system. In heliocentric model, all the planets and the Sun revolved around the Sun. This new model was able to accurately predict the movements of the planets and other celestial bodies. This was a major breakthrough in Astronomy and it revolutionized the way people viewed the universe.

The heliocentric model was further confirmed by Johannes Kepler, who discovered three laws of planetary motion. These laws helped to explain the movements of planets and other celestial bodies. This showed that the heliocentric model was correct and that the ptolemaic system was no longer valid. The heliocentric model was further refined by Isaac Newton, who developed the laws of motion and explained the forces that create motion. This work further solidified the heliocentric model and showed that it was the correct model for understanding the universe.

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Answer:

A horizontal line on a phase change graph means there has been

no change. Often longer periods of research are needed to see

significant change.

Answer:

The answer is C.

When Earth is positioned precisely between the Moon and Sun, Earth's shadow falls upon the surface of the Moon, dimming it and sometimes turning the lunar surface a striking red over the course of a few hours which is how a lunar eclipse happens.

When the Moon orbits Earth, the Moon moves between the Sun and Earth. When this happens, the Moon blocks the light of the Sun from reaching Earth. This causes an eclipse of the Sun, or a solar eclipse. During a solar eclipse, the Moon casts a shadow onto Earth.

Answer:

200 kg

Explanation:

Answer:

m= 50

Explanation:

m=f/a    this is the formula for mass

m= 25/0.5    you substitute the numbers with their variables   they you divide them to get the mass

m= 50

A force of 40. 0 n accelerates a 5. 0-kg block at 6. 0 m/s2 along a horizontal surface. The value of the net force acting on the block will be  79N.

The combination of mass and acceleration is known as force, and it acts on the body to cause it to move. Since the block is being affected by an external force, there will be a frictional force that prevents the block from moving. The frictional force is given by and can be represented by the symbol f(k).

f(k) = external force - (ma)

f(k) = 40N - (5×6)

f(k) = 40N - 30N

Since it opposes the external force, f(k) = 10N, and since the sign is negative, f(k) = -10N.

In addition, the body is subject to a gravitational force that is equal to mg, where g is the acceleration caused by gravity.

Now, force of gravity = mg

= 5×9.8 = 49N

Now, net force acting on the block = 40N - 10N + 49N= 79N.

Your question is incomplete but most probably your full question was

A force of 40.0 N accelerates a 5.0-kg block at 6.0 m/s2 along a horizontal surface. what is the net force acting on the block

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The complete box as per methods of extrasolar planet detection

Diameter of the

Mass of the planet

This is further explained below.

Generally, The techniques for finding planets beyond the solar system

Microlensing caused by gravitational forces occurs when a star that contains a planet moves in front of another star. This causes the light to bend in a peculiar manner.

The transit method takes into account the varying luminosities of the stars. When a planet passes in front of a star, the star's apparent brightness decreases, which provides information about the planet's radius or diameter.

The radial velocity method analyzes the Doppler shift of a star to determine whether the star is moving closer or farther away from us.

Method of astronomy that is based on variations in the positions of stars in the sky.

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Answer:

2 N to the left

Explanation:

Answer:

The correct solution is:

(a) 1680 W

(b) 504 W

(c) 1.240

Explanation:

The given values are:

Voltage,

V = 120 V

Current of blow dryer,

I₁ = 14 A

Current of vacuum cleaner,

I₂ = 4.2 A

Time,

t₁ = 16 min

t₂ = 43 min

As we know,

⇒ \(Power (P) = VI\)

(a)

For blow dryer:

⇒ \(P_1=V\times I_1\)

        \(=120\times 14\)

        \(=1680 \ W\)

(b)

For Vacuum cleaner:

⇒ \(P_2=V\times I_2\)

        \(=120\times 4.2\)

        \(=504 \ W\)

(c)

The ratio will be:

= \(\frac{Blow \ dryer \ energy}{Vacuum \ cleaner \ energy}\)

= \(\frac{P_1\times t_1}{P_1\times t_2}\)

= \(\frac{1680\times 16}{504\times 43}\)

= \(\frac{26880}{21672}\)

= \(1.240\)

Answer:

Given

mass (m) =45kg

velocity (v) =15m/s

momentum (p) =?

Form

p=mv

=45x 15

p=675kg.m/s

the momentum =675kg.m/s

Answer:

Fission is the opposite of fusion and releases energy only when heavy nuclei are split. As noted in Fusion, energy is released if the products of a nuclear reaction have a greater binding energy per nucleon than the parent nuclei.

The amount of energy released during nuclear fission is millions of times more efficient per mass than that of coal considering only 0.1 percent of the original nuclei is converted to energy. Daughter nucleus, energy, and particles such as neutrons are released as a result of the reaction

After two seconds, the point at r = 10 cm from the center of the wheel has magnitude of the velocity of roughly 0.31 m/s.

To find the magnitude of the velocity (speed) of a point located at r = 10 cm from the center of the wheel after 2 s, we can use the equation v = rω, where v is the linear velocity, r is the distance from the center, and ω is the angular velocity.

Given that r = 10 cm = 0.1 m, and the time t = 2 s, we need to determine the angular velocity ω.

The formula for angular velocity is ω = θ/t, where θ is the angular displacement. Since we are not given the angular displacement, we assume that the point undergoes a complete revolution (360 degrees or 2π radians).

So, θ = 2π radians and t = 2 s.

Substituting these values, we have \(\omega = \frac{2\pi \, \text{radians}}{2 \, \text{s}} = \pi \, \text{radians/s}\)

Now, we can calculate the linear velocity:

\(v = r\omega = (0.1 \, \text{m}) \cdot (\pi \, \text{radians/s}) \approx 0.31 \, \text{m/s}\)

Therefore, the magnitude of the velocity (speed) of the point located at r = 10 cm from the center of the wheel after 2 s is approximately 0.31 m/s.

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Answer:

IVE BEEN TRYNA FIND THE ANSWER FOR THE PAST HOUR T-T

Explanation:

Answer:

3.2 x10^11 bits of storage

Explanation:

Any remnant core with a mass greater than 3.0 solar masses will overcome electron degeneracy pressure, leading to collapse into a singularity. This process is an important step in the formation of black holes.

If a remnant core has a mass of more than 3.0 solar masses, it will overcome electron degeneracy pressure. Electron degeneracy pressure is the force that prevents further collapse in a white dwarf star by the repulsion of electrons due to the Pauli exclusion principle. However, when the mass of the core exceeds 3.0 solar masses, this pressure is no longer sufficient to counterbalance the gravitational force.

At this point, the core will continue to collapse, leading to the formation of a singularity. A singularity is a point of infinite density and gravitational pull, where the laws of physics as we know them break down. This collapse into a singularity is believed to occur during the formation of black holes.

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The kinetic energy of a body whose mass is 150kg covering a total distance of 115km/hr is 76,512.27J.

Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.

Kinetic energy = ½ mv²

Where;

According to this question, a body of mass 150kg is covering a total distance of 115km/hr.

115km/hr = 31.94m/s

K.E = ½ × 150 × 31.94²

K.E = 76,512.27J

Therefore, 76,512.27J is the kinetic energy of the body.

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Answer:

Time taken = 13095 seconds

Explanation:

Mass of silver required = density of silver * volume of silver

volume of silver = surface area of teapot * height of silver layer

volume = 700 cm² * 1 m²/ 10⁴ cm² * 0.133 * 1 m/1000 mm

volume = 9.31 * 10⁻⁶ m³

mass of silver = 10.5 * 10³ kg/m³ * 9.31 * 10⁻⁶ m³

mass of silver = 9.7755 * 10⁻² kg * 1000 g/ 1 kg = 97.755 g

1 mole of Ag⁺ will be discharged by 96500 C of charge

molar mass of silver 108 g/mol

97.755 g of silver will be discharged by = 96500 C * 97.755/108 = 87345.9 C of charge

From Q = I * t

I = V/R = 12/1.8 = 6.67 A

Therefore, t = Q/I

t = 87345.9/6.67

t = 13095 seconds

Answer:

Explanation:

The refractive index of sea water is more than refractive index of water . so when light passes from water to sea water or from low refractive index to high refractive index , ray of light bends towards the normal . This bending is very small because the difference in refractive index is very small.

Answer:

terrestrial ecosystem and pond ecosystem is an aquatic ecosytem, hence both their abiotic and biotic components would be different.

Explanation:

Discrimination on the basis of the physical appearance of a person is called physical appearance bias.

Our society has constructed a notion of physical attractiveness. It is related to the quality of the social appearance. Physically attractive people are at advantage as compared to the people who are not physically attractive. Physical appearance bias is the discriminatory behavior provided by our society to the people who are not unattractive and not so good looking. This physical attribute may be the height, weight, color of the skin, etc. This perception of discrimination of our society more often results in adverse consequences.

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Answer:

If both the radius and frequency are doubled, then the tension is increased 8 times.

Explanation:

The radial acceleration (\(a_{r}\)), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:

\(a_{r} = 4\pi^{2}\cdot f^{2}\cdot R\) (1)

Where:

\(f\) - Frequency, measured in hertz.

\(R\) - Radius of rotation, measured in meters.

From Second Newton's Law, the centripetal acceleration is due to the existence of tension (\(T\)), measured in newtons, through the string, then we derive the following model:

\(\Sigma F = T = m\cdot a_{r}\) (2)

Where \(m\) is the mass of the object, measured in kilograms.

By applying (1) in (2), we have the following formula:

\(T = 4\pi^{2}\cdot m\cdot f^{2}\cdot R\) (3)

From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:

\(\frac{T_{2}}{T_{1}} = \left(\frac{f_{2}}{f_{1}} \right)^{2}\cdot \left(\frac{R_{2}}{R_{1}} \right)\) (4)

\(\frac{T_{2}}{T_{1}} = 4\cdot 2\)

\(\frac{T_{2}}{T_{1}} = 8\)

If both the radius and frequency are doubled, then the tension is increased 8 times.

If both the radius and frequency are doubled, then the tension will be increased 8 times.

From kinematic formula:

\(\bold {a_r = 4\pi r^2 \times f^2 \times R^2}\) .............................. (1)

Where:  

f - Frequency,    

R - Radius of rotation,  

From Second Newton's Law,

\(\bold {\sum F = T = m\times a_r }\) ......................... (2)

Where

m is the mass of the object,

From equation 1 and 2,

\(\bold {T = m\times 4\pi r^2 \times f^2 \times R^2}\\\) .................... (3)

From equation, tension is directly proportional to the radius and the square of frequency.

Then, if radius and frequency are doubled, then the ratio between tensions is:

\(\bold {\dfrac {T_2}{T_1} = (\dfrac {F_2}{F_1})^2 \times \dfrac {R_2}{R_1} = 4 \times 2 = 8 }\)  

Therefore, If both the radius and frequency are doubled, then the tension will be increased 8 times.

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