A carousel with a radius of 4.0 m spins at 7.2 revolutions per minute. What centripetal force would a child with a mass of 45 kg feel when standing 1.0 m from the outer edge of the carousel

Static equilibrium means that all forces are equal, so to make this easiest you want to break F1 into it's horizontal and vertical components. As there are no other forces acting in the horizontal, we know the horizontal component of F1 is 40N.

Dynamic equilibrium is a state in which bodies are moving at a constant speed as opposed to static equilibrium, which is a state in which bodies are at rest (rectilinear motion). The total amount of forces exerted on them in both situations is zero.

When two forces are acting on an object that is in static equilibrium, it indicates that their sum is zero, which makes static equilibrium a useful analytical tool. You may create an equation to figure out the direction and strength of the unknown force if you know the direction and strength of one of the forces.

Thus, Static equilibrium means that all forces are equal, so to make this easiest you want to break F1 into it's horizontal and vertical components.

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The volume of a material is directly related to its temperature in that thermal expansion occurs with an increase in temperature while thermal contraction occurs with a decrease in temperature.

The effect of heat, when applied to a substance, is that it may result in thermal expansion or thermal contraction when heat is removed

Thermal expansion refers to the increase in the size of a material when heat is applied to the substance resulting in temperature increase. Thermal expansion may be an increase in volume, area, or length.

Thermal contraction refers to the decrease in the size of a material when heat is removed from the substance. Thermal expansion may be a decrease in volume, area, or length.

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The wavelength of earthquake that shakes you with frequency of 11.5 Hz and gets to another city 80 Km away in 12s is 579.72 m .

The Wavelength is defined as the distance between adjacent crests in  adjacent cycles of a waveform signal propagated along a wire .

the relation between velocity , wavelength and wavelength is :

v = λf  ;

simplifying we get ⇒ λ = v/f ;

we know that , v = d/t ;  by speed = distance × time ,

substituting , distance  = 80 Km = 80000 m, and

time taken  = 12s ;

So , v = 80000/12 = 6,666.7 m/s .

given that frequency(f) = 11.5 Hz ,

So , λ = v/f ⇒ 6,666.7/11.5

= 579.71304

≈ 579.72 m .

Therefore , the wavelength of the earthquake is 579.72 m .

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If the distance between the masses is cut by 1/4, the new force will become 16 times the old force.

The force experienced by the two masses is determined by applying Newton's law of universal gravitation.

F = Gm1m2 /r²

where;

when the distance between the objects becomes 1/4, the new force between the object becomes;

F = Gm1m2 /(1/4 r)²

F = Gm1m2 /(1/16)r²

F = 16 [  Gm1m2 /r² ]

F (new) = 16 (Gm1m2 /r² )

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(a) The average pressure exerted by the person is 40,000 N/m².

(b) The average pressure exerted by the elephant is  295,000 N/m².

The average pressure exerted by the elephant is about 7 times greater than the average pressure exerted by the person.

The average pressure exerted by each is defined as the force per unit area.

Mathematically, the formula for average pressure is given as;

P = F/A

where;

P = W / A

where;

The average pressure exerted by the person is calculated as follows;

P = (640 N) / (0.016)

P = 40,000 N/m²

The average pressure exerted by the elephant is calculated as follows;

P = (4.13 x 10⁴ N) / (0.14)

P = 295,000 N/m²

Thus, the average pressure exerted by the elephant and the person depends on their weight and area of their shoes.

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Aluminum reacts vigorously and exothermically with copper chloride, the balanced chemical reaction becomes:

2Al + 3CuCl₂ → 2AlCl₃ + 3Cu

Considering that aluminium is a more active metal in the electrochemical series of metals than copper, it displaces copper from the bond. The result is the emission of gaseous hydrogen and red metallic copper. This reaction is quite intense and results in the production of heat.

The reaction between aluminium and copper(II) chloride is highly vigorous, as heat is generated, the reaction mixture becomes very hot, the blue hue owing to the Cu(II) ions fades, the aluminium foil disintegrates, a reddish brown solid emerges, and gas bubbles are released.

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Changes;

Volume of a gas

Shape of a liquid

Shape of a gas

Does not change;

Volume of a solid

Shape of a solid

Volume of a liquid

In our introductory science lessons, we must have leant that matter is any thing that has mass and occupy space. We know that matter can occur in three states of matter and these are the solid, liquid and gaseous stage of matter.

Now we know that a liquid has a definite volume but does not have a definite shape. The gas on the other hand does not have a definite shape and a definite volume. It takes the shape and the volume of the container where it is found.

A solid would always retain in itself, a definite shape and a definite volume. This is why the solid is not compressible but the liquid and the gas are compressible.

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The discovery that many metals release electrons when exposed to light is known as the photoelectric effect.

Because it behaves like an impactor (one that preserves mechanical power) involving two particles, the photons of sunlight and the electrons of the metal, the photoelectric effect fits a particles theory of light.

Albert Einstein did, however, give his particles theory of light a boost in 1905. He noticed the photoelectric phenomenon, wherein ultraviolet light hitting a surface causes the surface to liberate electrons. By characterizing sight as a flow of photons, or energetic packets, Einstein was able to describe the response.

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Conduction is a heat transfer method. This heated antifreeze is circulated to the radiator via a water pump. Convection is the term for this method of thermal energy transfer.

Radiators are heat exchangers that transfer heat for cooling and heating from one medium to another. The majority of radiators are designed to function in vehicles, structures, and electronics.

A radiator aids in the engine's overheating removal. It is a component of the engine's cooling system, which also consists of a fan, hoses to circulate the coolant, a liquid coolant, and a thermostat to track the coolant temperature.

If you absolutely must continue driving, you can add water to the radiator to get you to your destination, even though it's best to add a 50/50 mix of coolant and water (or a pre-mixed coolant).

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The frequency of the wave is 10 hertz.

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

After moving through a sequence of situations or locations and then returning to its initial position, a body in periodic motion is said to have experienced one cycle or one vibration.

For wave motion, it can be written that:

Velocity of wave = wavelength × frequency

Frequency = Velocity of wave/wavelength

Given that Velocity of wave = 0.5 m/s.

wavelength = 0.050 meter.

Hence, frequency of the wave = 0.5/0.050 hertz

= 10 hertz.

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The chemical formula of the Mg²⁺ and PO₄³⁻ is Mg₃(PO₄)₂. Therefore, option (4) is correct.

A chemical formula provides information about the proportions of each element in a given chemical compound or molecule. The chemical formula includes chemical symbols, numbers (subscripts), and other symbols, such as dashes, plus (+) and minus (−) signs, commas, and brackets.

The chemical formula of a compound includes no words but can draw simple chemical structures. In chemistry, two kinds of formulas for any compound: empirical formula and molecular formula.

The charge on the Magnesium is +2 and the charge on the phosphate ion is -3.  Therefore, the formula of the compound magnesium phosphate is Mg₃(PO₄)₂.

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More than 200 billion stars in our own Milky Way galaxy make up the combined luminosity of quasars, which can produce up to a thousand times as much energy. The sun is 27 trillion times fainter than the average quasar!

Although quasars are the most luminous objects in the known cosmos, they seem feeble when viewed from Earth yet are detectable at great distances. The brightest quasar in the sky is 3C 273, which is located in the Virgo constellation.

Therefore, while a quasar will produce more energy over the course of its extended life. The strength of gamma ray bursts is higher. They are mostly created as a result of energy released during a hypernova's gravitational collapse.

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It doesn't matter if you turn off the AC first or after you turn off the engine; someone once said that doing so would shock the system. It still stops abruptly whether it shuts off from the switch or the engine.

Turning it off can help you conserve gasoline and cut down on carbon dioxide emissions, unless you drive a classic automobile with a carburetor. Our research has shown that drivers can save fuel and cut pollutants by shutting down for periods as little as 10 seconds. Some drivers believe that idling burns less fuel than resuming.

More gasoline is used and more CO2 is released when an engine is left idle for more than 10 seconds (Figure 3). For passenger cars of various sizes, idling fuel consumption ranges from 0.2 to 0.5 gal/h and rises with idling speed. Driving causes the car to warm up more quickly than idle does.

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The statement that can not be true is that; the car is going the same speed as the truck and the truck and car are at the same height. Option B

The term mechanical energy  has to do with the energy that is either in motion or the energy that is at a point. We can see that the total mechanical energy must have to be constant in a closed system.

We know that both the kinetic energy and the potential energies of the car and the truck would have to depend on the masses of the objects. The truck must have a much larger mass than the car. This implies that looking at the masses of the objects, the car and the truck must have different values of speed and height if they are to have the same total mechanical energy.

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The riders make 15.09 rev/min when they are subjected to a centripetal acceleration 1.65 times that due to gravity.

Given that,

Radius of circular path = 6.5 m

Let ω be the angular velocity of ride

Centripetal acceleration is given by ω²r

which should be equal to gravity 1.65* (g)

ω²r = 1.65* g

ω² = (1.65* g)/r

ω = √(1.65* g/r) = √(1.65* 9.81/ 6.5) = 1.58 rad/sec

We know that, 1 rad/sec = 9.55 rev/min

So, converting rad/sec to rev/min we have,

ω = 1.58* 9.55 = 15.09 rev/min

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Thermal energy from the solar rays heats the black paper. Through conduction, it warms the air in the box's. The warm air circulates inside the box due to convection, preventing it from escaping.

Researchers at the UC San Diego Jacobs School of Engineering found that solar panels significantly reduced the amount of heat that reached roofs, keeping them 5 degrees cooler than roof areas that were directly exposed to sunshine.

Installing solar panels on your home is worthwhile if you reside in a region with high energy costs, a sufficient solar rating, and if you have the initial financial means to do so.

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Geothermal heat is the source of heat for most hot springs and geysers.

Geothermal heat, or heat that originates from deep within the Earth, heats hot springs. Water may come into touch with extremely hot rock heated by magma in volcanic zones. Hot springs in volcanically active areas may create superheated water that is so hot than immersion can be dangerous or fatal. The temperature of rocks within the Earth also rises with depth in non-volcanic regions; this temperature rise is known as the geothermal gradient. Water can generate hot springs if it percolates far enough through the crust, coming into contact with hot rocks along the way.

The most well-known geothermal feature is a geyser. Due to intricate interior plumbing, each geyser has distinct characteristics. In a location of volcanic activity, geysers often demand that vast volumes of groundwater fill subsurface cavities. These deep caverns' water is warmed by neighbouring magma. Suddenly, a portion of the water turns to steam and rapidly expands. An burst of heated air and steam forces the suspended in the water column violently out of the vent. Repeating this cycle is possible frequently. Yellowstone National Park contains Old Faithful, a geyser that has been erupting once in every 65 minutes for centuries.

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According to the given statement the energy is stored in Long solenoid is U = 2.14 × 10⁻⁶ J.

Energy is a crucial part of our everyday life although becoming an basic human need. The buildings that people have constructed are heated and cooled by energy. To raise a foot, get out of couch, or even simply walk and along main path, you need energy.

Briefing:

The diameter of the solenoid is given as 3cm or 0.03m.

The length of the solenoid is given as 12cm or 0.12m.

Current is given as 0.79A

The cross-sectional area of the solenoid is

A = πd²/4

A = π (0.03)²/4 = 0.000225m²

Inductance of the solenoid can be found out using the below formula,

L = μ₀ N² A/l

where, μ₀ is vacuum permeability

N is number of turns

A is cross-sectional area

l is length

L = μ₀ N² A/l

L = 4π × 10⁻⁷ * (150)² *0.000225/0.79 = 8.05 × 10⁻⁶ H

U = 1/2 L*i²

U = 0.5 * 8.05 × 10⁻⁶ * (0.73)²

U = 2.14 × 10⁻⁶ J

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Groundwater originates from precipitation and snowmelt, which seeps into the surface of the Earth.

Most groundwater is derived as meteoric water from precipitation in the form of snow or rain. If it is not lost by transpiration, evaporation, or stream runoff, water from these sources generally infiltrates into the ground.

Initial amounts of water from precipitation onto dry soil are held very tightly as surface films and in the micropores of the particles of soil. At intermediate levels, water films cover the solid particles, but the air is still present in the voids of the soil. This region is called the zone of aeration or unsaturated zone, and the water present is known as vadose water. At lower depths and in presence of sufficient amounts of water, all such voids are filled to give a zone of saturation, the upper level of which is the water table. Water present in this zone of saturation is known as groundwater

Although a part of your question is incorrect, you might be referring to this question:

Groundwater originates from                 and snowmelt, which seeps into the surface of the Earth.

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Answer:

positive delta H (enthalpy/heat change)

temperatures drop

Explanation:

eg water changing state to ice is an endothermic reaction

Answer:

Some signs that an endothermic reaction is taking place are if:

- the container holding the reaction feels cold to the touch

- the change in enthalpy is positive

- the total heat of formation is positive

The coefficient of dynamic friction between the box and the slope be 0.404.

The resistance provided by surfaces in touch as they move past one another is known as friction.

To walk without slipping, traction is provided by friction. In most situations, friction is advantageous. They do, however, give a strong amount of opposition to the move. Additionally, around 20% of an automobile's engine power is used to overcome frictional forces in the moving parts.

In this question: A box slides down a slope at an angle of 21° to the horizontal.

If the mass of the box be m and coefficient of friction be μ,

The gravitational acceleration force acting along the moving be:

F = mgcos22°.

The frictional resisting force acting against the moving be:

f = μmgsin22°.

As the box is moving with constant velocity;

F = f

⇒μ = tan22° = 0.404

So, the coefficient of dynamic friction be 0.404.

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The correct answers to the conversions in the task above are as follows:

The degrees celsius is a scale grade which is used to define two different points. This scale system for instance works on the principle of zero degrees (0°) for the freezing point of water and hundred degrees (100°) for the boiling point of water.

From the task given above on converting 0.020kg to g,

Recall:

1000g = 1kg

to convert 0.020kg to grams

then we will have

1000g = 1kg

x = 0.020kg

Cross multiplying

x = 1000 × 0.020

= 20.

This means that we have 20g in 0.020kg.

In conclusion, we can now confirm from the explanation given above that the symbol of degrees celsius is °C.

Complete question:

Convert the following:

a. 5°C to degrees Fahrenheit =.............°F

b. 15°C to radians = ...............

c. 5400 Fahrenheit to degrees Celsius = .....°

d. 1h15min 27s=...........h=........min=..............

e. 47°k=...........°C

f. 58°k=...........°C

g. 0.020kg=.........g

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Answer:

Sound

Amplitude Wave

Pitch

Strenght

Explanation:

Organisms make different proteins because of the gene recombination and genetics.

Siblings may inherit various features from their parents and from each other depending on the specific gene combinations that each seeds carries. The variance in silk inflexibility among spider seed is explained by random gene recombination.

The inflexibility of silk is another issue. This point is shared by all of Darwin's dinghy spiders (they all have spider silk with some flexibility), yet some spiders create silk that is more flexible than other spiders' silk. There are three levels of silk inflexibility - high, medium, and low.

The above explanation about the genetic recombination tells about why the organisms make different proteins.

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A hunter on level ground fires a bullet at an angle of 10 degrees above the horizontal and simultaneously dropping another bullet from the level of rifle, then the bullet that will hit the ground first is : a.) the dropped one.

Projectile motion is a form of motion experienced by an object that is projected in a gravitational field, such as from Earth's surface, and then moves along a curved path under the action of gravity.

The motion of an object thrown or projected into the air, subject to only the acceleration of gravity is called projectile motion.

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Answer:

The net force would be zero

Explanation:

Since, F = m*a

So, if the speed is constant, similarly if we include direction the Velocity is constant and that means that acceleration is zero as acceleration itself is change in velocity per time so constant velocity and since,

a = (Vf - Vi)/change in time
a = 0

then
F = m*0

so F is also zero

Answer:

299.39N

Explanation:

F=un

n=w=mg⇒ (65)(9.8)=637

0.47(637)= 299.39 N

*your teacher/prof may expect you to round to sig figs*

The time needed for the elevator to lift the load is approximately 4.31 seconds.

Power is simply the amount of energy transferred per unit time.

It is expressed as;

P = W / t

Where P is power, W is work done and t is time.

Given the data in the question;

Plug the given values into the above formula and solve for t

P = W / t

P = W / t

t = W / P

t = 56000J / 13000J/s

t = 4.31 s

Therefore, the required time is 4.31 seconds.

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The average speed of the object is calculated as 6 m/s, when distance travelled by object and time taken are given.

Average speed is calculated by dividing total distance that something has travelled by the total amount of time it took to cover that distance. Average speed measures the average rate of speed of a trip.

As we know, Velocity V = Distance / time

Distance travelled in first half, D1 = 20 m

Time taken in first half, T1 = 4 seconds

Distance travelled in second half, D2 = 16 m

Time taken in second half, T2 = 2 seconds

Average speed of an object = (D1+D2)/(T1+T2)

= 36 / 6

Average speed of object = 6 m/s

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