The half-life of polonium-210 is 138 days. A nuclear physicist measures out a 128 gram sample. Approximately how many grams of polonium-210 would remain after 414 days?.

Galileo characterized his enemy motives as a threatened group because of the ideas they believed to have tried to be destroyed. They used religious arguments against him to refuse the truth, which was different from theirs.

Galileo was a mathematics professor who develops telescope capabilities with an enlargement of 18-20 times. This telescope was used to confirm the theory of Copernicus heliocentric.

Church had a powerful rule at that time. They believe in Aristotle's theory that the earth is the center of the universe. Aristotle is a philosopher.

At that time science was bound by philosophy. And when Galileo confirmed heliocentric, then it was a threat to the church. According to them the intimidation to Aristotle's theory is intimidation to Christianity.

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The velocity with which will move the body when released from height of 500m is 100m/s

The vertical acceleration is known to be a constant g.

d^2y/dt^2=−g

After integrating, we'll refer to our constant as v0.

dy/dt=v0−gt

That's our time-dependent vertical velocity. In our situation, the starting velocity v0=0, implying that we began at rest at time t=0.

dy/dt=−gt

Let us integrate once more, with the integration constant. y0.\s

y=y0−1/2gt^2

We have

y0=500 and want t when y=0.

2=1000

t=√1000g

We frequently employ the assumption g=10m/s2, which yields t=10

At t=10t=10, how fast is it moving?

dy/dt=−gt=−(10)(10)=−100

DOWN, 100 meters per second.

Gravity's acceleration is always constant and downward, although the amplitude and direction of velocity change. The ball has zero velocity at its greatest point in its trajectory, and the magnitude of velocity increases as the ball descends back toward the earth.

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Santiago’s teacher showed him a kind of cloth that changes color if it is placed out in the sun, but does not change color if it is placed under a desk lamp because the sun gives off a type of light that carries energy, and light from the desk lamp does not.

This is referred to as the luminous celestial body around which the earth and other planets revolve, from which they receive heat and light.

The light emitted by the sun contains energy which could be in the form of solar energy and is therefore the reason why light from the sun changes the color of the cloth while the light from the desk lamp does not.

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The approximate freezing point of phosphorous will be 44.1°C to solid white phosphorus

The freezing point of oxygen is about -218. The freezing point of phosphorous is about a higher

So, the approximate freezing point of phosphorous

-218   + 262    =   44° C

Why Does It Freeze?

The phase transition of a substance from a liquid state to a solid state is referred to as freezing. This occurrence is known as a phase transition, which occurs when a substance changes from one state of matter to another.

Both the solid and liquid states coexist at the freezing point because these two phases, liquid and solid, are in equilibrium there. A substance's freezing point is influenced by air pressure.

This tetratomic vapor condenses to liquid white phosphorus which freezes at 44.1°C to solid white phosphorus, a soft, waxy, colorless material.

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Explanation:

When the water flows at high speed through the turbine, that is actually first a conversion of the potential energy into Kinetic energy, and then the Kinetic energy is now harvested by the turbine.

Water at a height has potential energy. Water moving has Kinetic energy. However it happens, yes, the potential energy does eventually get turned into electrical energy via the turbine driving a generator.

A toy airplane, flying in horizontal, circular path, completes 10 circles in 30 seconds, then the average speed of the airplane is 8.4 m/s.

A specific type of motion in which object travels in a circle with a constant speed is called uniform circular motion. For example, point on a propeller spinning at constant rate is executing uniform circular motion.

Given the toy completes 10 circle in 30 seconds. So, frequency of revolution ;

f= 10/30s

= 0.33 Hz

As we know that period of revolution is the reciprocal of the frequency;

T= 1/f

=1/0.33

= 3 sec

Given, radius of the circular path is, r = 4.0 m

Total distance covered b toy in one circle is the length of circumference: 2πr

So, the average speed is 2πr/T

=  (2 * π * 4)/3

So, the average speed of the airplane is = 8.4 m/s.

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The equal and opposite force is equal to the sum of any frictional force to the product of the mass of the wagon and the acceleration of the wagon

According to the Newton's third law states that for every action, or force, there is an equal and opposite reaction

The equal and opposite force = The mass of the Wagon, m × The acceleration of the wagon, a + Any frictional force present,

Whereby the force with which the horse pulls the wagon = F, mathematically, we have the following;

The equal and opposite force = -F = m × a

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The equal and opposite force for the force of the horse pulling forward on the wagon as described by newton's third law is given as the sum of frictional force with the product of the mass of the wagon and the acceleration of the wagon.

The horse pulling the wagon in forward direction pushes the ground in forward direction. The ground also exerts a force which has same magnitude.

According to Newton's third law, there is an equal and opposite reaction to every force or action.

The equal and opposite force = The mass of the Wagon, m × the acceleration of the wagon, a + Frictional force to the movement Ff

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Scientists have discovered a pill that, if taken once a day, can reduce chest pains, then : The committee would conduct few trials with actual patients and then evaluate the drug's success rate.

All drugs must go through the pipeline of discovery, investigation, clinical trials, and FDA approval before being marketed. This activity reviews federal regulations of medication development and highlights the interplay between FDA, drug manufacturers and clinical researchers.

Drugs have to undergo laboratory and animal testing to answer basic questions about safety and drugs are also tested on people to make sure they are safe and effective.

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Answer:

Explanation:

a)

By Hooke's law

F=kx

⇒kd

=83.8×0.0546

=4.575N

By Hooke's law, F=kx ⇒kd =83.8×0.0546 =4.575N.

The first traditional example of an explanation of elasticity is Hooke's law. Elasticity is the quality of a substance or item that allows it to return to its original shape after distortion.

It is possible to refer to a "restoring force" as the capacity to restore normal shape after distortion. This restoring force, when viewed in the context of Hooke's Law, is often proportional to the degree of "stretch" encountered.

These experiments can range from blowing up a balloon and pulling on a rubber band to calculating the amount of wind pressure required to bend and wobble a tall building.

Therefore, By Hooke's law, F=kx ⇒kd =83.8×0.0546 =4.575N.

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An air mass entering Alaska from the northern Pacific Ocean would most likely be labeled on a weather map as a maritime polar air mass (mP).

Air masses are large bodies of air that have similar temperature and moisture characteristics. They form over specific regions of the Earth's surface, such as the ocean or a continent, and are classified based on their temperature and moisture characteristics.

Maritime polar air masses form over cold ocean water, such as the northern Pacific Ocean. They are characterized by cool temperatures and high moisture content. When a maritime polar air mass moves over land, it can bring cool, wet weather. In Alaska, it would bring cold and humid air and can also bring precipitation such as snow or rain.

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30 Coulombs / 0.1 seconds = 300 Amps

The average current during this time is calculated by dividing the amount of charge (in Coulombs) by the amount of time (in seconds) it takes to lower the charge to ground. So, in this case, it is 30 Coulombs divided by 0.1 seconds, which is equal to 300 Amps.

Both forces have equal amplitudes. When a Volkswagen Bug and a Volvo truck collide head-on, the statement will be accurate in this instance. Due to collision.

The force's strength to effect the required change is determined by its magnitude. It acts in a specific direction and has a certain magnitude. Contact or non-contact force is both possible. Applying force in one form or another is how almost all daily tasks are completed. A force's strength is quantified by a number called its magnitude. Take a force of 10 N, for instance, in the direction of the east. The phrase "towards east" denotes a direction, and "10" represents the force's magnitude.

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The moment of inertia of the cylinder with radius 0.120m mounted on a frictionless stationary axle for rotation about the axle is 0.026kgm^2.

At the initial time the body was at rest, so the initial angular velocity wo=0. According to the equation , theta -theta o = 1/2×a0 ×t +wo×t.

Now when the function for angular displacement (θ−θ0) = f(t^2) ( in radians ) is drawn the data lies close to a straight line, the slope is equal to =16.0 rad/s^2.

So the value of angular acceleration a0 is, k=1/2×a0 ,a0=2×k , a0=32 rad/s^2.

In rotational motion of the cylinder , I×a0= Tz ,I×a0=F×r , I= (F×r)/ a0 ,I=(7×0.12)/32, I= 0.026 kgm^2.

So the moment of inertia of the cylinder for rotation about the axle is 0.026kgm^2.

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Chronometers are important in marine navigation because they provide a reliable and accurate measure of time. This is necessary for calculating longitude, which is an essential part of navigation, as well as for synchronizing other navigational instruments. Chronometers are also important for determining the speed of a vessel and for tracking its progress over time.

A chronometer is essential in marine navigation because it provides an accurate measure of time and is used to calculate longitude. Longitude is an essential part of navigation, as it tells you the exact location of a ship. Accurate timekeeping is key in order to calculate the correct longitude, so having a reliable and accurate chronometer is essential for safe navigation.

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In that amount of time and constant speed, the car will travel 3.75 miles.

First we need to find the car's travel distance or velocity per minute in order to calculate how far it will go in 5 minutes. This can be done by subtracting 2.625 miles from 3.5 minutes, which gives us the answer of 0.75 miles per minute for the car's rate of travel. Because of this, the distance that the car will go in five minutes is equal to 0.75 miles per minute multiplied by the number of minutes, which is equal to 3.75 miles.

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The alteration of space around a charge is called the "electric field."

An electric field is a physical quantity that describes the force exerted on a charged particle in a specific location. The strength of the electric field is determined by the amount of charge present and the distance from that charge. Electric field strength is measured in units of volts per meter (V/m). The direction of the electric field is defined as the direction that a positive test charge would be pushed or pulled if placed in that location. Electric field lines are often used to represent the direction and strength of an electric field. The lines radiate away from positive charges and toward negative charges, with the density of the lines indicating the strength of the field.

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Answer: The total force required by the reindeer to accelerate such a sled is given by Force in Newtons equals mass in Kg times Acceleration

Explanation:

Answer:

Time

Explanation:

Time.measures the duration in which an event occured.

The one-dimensional diffusion equation or Fick's second law is the name of this equation. For the geographically and temporally variable concentration, it is solvable.

A diffusion explanation is what?

The movement of molecules along a concentration gradient is known as diffusion. It is a significant process that all living things go through. Diffusion facilitates the flow of materials into and out of cells.

Which definition of diffusion is the best?

Diffusion is the movement of molecules from a region where they are more concentrated to one where they are less concentrated. Therefore, "Movement of molecules from a region of their greater concentration to a region of their lower concentration" is the right response.

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A projectile of mass 0.877 kg is shot straight up with an initial speed of 27.3 m/s. It would go 37.98 m  if there were no air resistance. If the projectile rises to a maximum height of only 8.49 m, e the magnitude of the average force due to air resistance will be253.71 N

Mass  projectile=0.85 kg=m

Velocity  projectile=30 m/s=

u = initial velocity

Final velocity =0

g is  acceleration due to gravity=9.81 m/s²

h is maximum height of the projectile

a)the height can be calculate as follows:

In this case loss of Kinetic energy (K.E.) = loss in potential energy (P.E.)

ΔK.E.=ΔP.E.

1/2mu²-1.2mv²= mgh

1/2 m xu² = mgh

h = u²/ 2g

h = (27.3)²/ 2 ( 9.81)

h= 37.98 m

b) the magnitude can be calculate as follows:

h' is height of the projectile=8.49 m

F is Average force due to air resistance

There will be a loss of P.E. due to air resistance

ΔP.E.=mg(h-h')

F×h'=mg(h-h')

F×8.49=0.877×9.81(37.98-8.49)

F= 0.877×9.81(37.98-8.49)

                   8.49

F= 253.71 N

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Answer:

A Dutch man called Christiaan Huygens, in 1657.

The inverse of Janine's equation is r = -120/(t - 120).

An equation is described as a formula that expresses the equality of two expressions, by connecting them with the equals sign.

In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions.

The categories for equations are either identities or conditional equations.

For each potential value, the variables provide an identity. Only certain combinations of the values for the variables allow a conditional equation to hold true.

In order to  find the inverse of Janine's equation, we will to solve for r in terms of t.

First, we can rearrange the equation to get

t - 120 = 1/r.

divide both sides of the equation by 1/r to get

t/r - 120/r = 1.

divide both sides of the equation by -120/r to get

r = -120/(t - 120).

Therefore, the inverse of Janine's equation is r = -120/(t - 120).

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Answer: R=120t/120-t

Explanation: edmentum/plato :)

b. The moment it emerges from the barrel. less than or equal to the bullet fired . This is because the sine or cosine modulus of any angle to be less than or equal to one.

According to Newton's Third Principle of Motion, every action has a corresponding and opposing reaction. A bullet shot from a gun experiences force from the weapon alone, which propels it ahead. As it goes rearward, the bullet exerts an equal and opposing force on the rifle.

Actually, each of the three events will impact in a different way. The item without air would be the first to impact drag, therefore any fired or lost bullets.

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a) The human eye can distinguish two car headlights 2.0m apart that are at least 37 cm away.

The diffraction limit for the human eye can be calculated using the formula:

d = 1.22 * λ / d_pupil

where d is the distance at which two headlights can be distinguished, λ is the wavelength of light and d_pupil is the diameter of the eye's pupil. Plugging in the given values, we have:

d = 1.22 * 560 * 10^-9 m / 6 * 10^-3 m = 0.037 m = 37 cm

So the human eye can distinguish two car headlights 2.0m apart that are at least 37 cm away.

b) The minimum angular separation that an eye could resolve when viewing two stars can be calculated using the formula:

θ = 1.22 * λ / D

where θ is the minimum angular separation, λ is the wavelength of light, and D is the diameter of the eye's pupil. Plugging in the given values, we have:

θ = 1.22 * 560 * 10^-9 m / 6 * 10^-3 m = 2.2 * 10^-6 radians

c) The diffraction limit is only one of the factors that limit the angular resolution of the human eye. Other factors such as the neural processing in the eye, aberrations in the eye's optics, and the level of light entering the eye also play a role in determining the minimum angular separation that can be resolved.

Additionally, the 1' arc value that you mentioned might also include atmospheric distortion which affects the resolution of the telescope.

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A network of nerves known as the sympathetic nervous system aids in the body's "fight-or-flight" reaction. When you're under stress, in danger, or engaged in physical exercise, this system becomes more active.

increases in heart rate, blood pressure, breathing rate, and pupil size are caused by this area of the neurological system. Additionally, it results in blood vessels narrowing and a decrease in digestive juices.

The sympathetic nervous system is a portion of the nervous system that is responsible for producing reflex cardiovascular system alterations as well as localized adjustments (such sweating in reaction to a rise in body temperature).

Along with its opposite, the parasympathetic nervous system, the sympathetic nervous system is a component of the autonomic nervous system. The thoracic and lumbar spinal cord segments, collectively referred to as the thoracolumbar division, are where the sympathetic nervous system originates (T1 to L2,3).

Thus, A network of nerves known as the sympathetic nervous system aids in the body's "fight-or-flight" reaction.

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a) The power of the lens when looking at distant objects is calculated to be 0.058 D.

b) The power of the lens when looking at an object 20.0 cm from the eye is  0.05 D.

The power of a lens is defined as the reciprocal of its focal length. It is represented by the letter P. The power P of a lens of focal length f (in m) is given by, P = 1/f. The SI unit of power of a lens is dioptre.

Given that,

Focal length = 17 mm

Power = 1/focal length = 1 / 17 = 0.058 D

b) Power of the lens when looking at an object 20 cm from the eye is 0.05 D

Focal length = 20 cm

Power = 1/focal length

Power = 1/20

Power = 0.05 D

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Answer:

Both are 175 m

Explanation:

In this case, the distance (total length traveled) is the same as the displacement (distance from the point of origin to the end point).  The person walked a straight line from school all the way to Domino's.

150 m + 25 m = 175 m

1 cycle per second

The unit of frequency is Hertz (Hz). One Hertz is equal to one cycle per second. The frequency of a periodic phenomenon (such as a wave, oscillation, or rotation) is a measure of the number of cycles that occur within a given time period. The higher the frequency, the more cycles that occur in a given time period.

For example, if a wave has a frequency of 10 Hertz, it means that it is completing 10 cycles per second. If a rotating object has a frequency of 100 Hertz, it means that it is completing 100 rotations per second.

The units of Hertz are commonly used to measure the frequency of waves, oscillations, and rotations in various fields, including physics, engineering, and electronics.

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Yellow represents 4, Red represents 2, Orange represents 3 zeros and Gold represents 5% tolerance.

The closest standard resistor value available with 1% tolerance is 42,200 ohms (42K). It's worth noting that, these values are based on the standard color code, but there are other variations of color codes that exist, and it is important to check the specific color code being used in your application.

The resistive value for this resistor can be determined by interpreting the banded colors according to the standard color code for resistors. The first band represents the first significant digit, the second band represents the second significant digit, the third band represents the number of zeros to be added to the first two digits, and the fourth band represents the tolerance of the resistor.

Therefore, the resistive value for this resistor is 42,000 ohms (4*10^4)

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When two objects collide, there's no net loss of kinetic energy within the system. This is known as an elastic collision. In elastic collisions, kinetic energy and momentum are both conserved.

In physics, collision, which is also known as impact, is the abrupt, violent coming together in close proximity of two, such as two pool cues, a golf club as well as a ball, the hammer and just a nail, two railroad cars while linked, or a falling item as well as a floor.

Following is a list of the primary collision types: collisions that occur in elastic media preserve both momentum and kinetic energy. All that is conserved in inelastic collisions is momentum. Perfectly inelastic collisions: Because the kinetic energy is lost, the objects adhere to one another just after collision.

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