According to the nebular theory of solar system formation, which law best explains why the solar nebula spun faster as it shrank in size?.

Answers

Answer 1

The law of conservation of angular momentum.

What is angular momentum?

Angular momentum is the rotational analog of linear momentum in physics. It is a conserved quantity, meaning the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.

What is the law of conservation of angular momentum?

The law of conservation of angular momentum asserts that a system's total angular momentum is conserved when there is no external torque present. In other words, the magnitude and direction of the total angular momentum of an isolated system remain constant.

According to the Nebular Theory, the solar system originated as a massive, slowly rotating cloud of gas measuring around one light-year in diameter. As the cloud cooled, its own gravity caused it to collapse. It distorted into a revolving pancake shape due to the conservation of angular momentum, which required it to spin faster as it shrank.

Hence, the law of conservation of angular momentum best explains why the solar nebula spun faster as it shrank in size.

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Related Questions

A block (5 kg) is pulled by a 50 N at an angle of 30◦tothe ground. The block experiences a 4,2 N frictional force and moves 2,60 m. The block starts from rest. Use the work-energy principle to calculate the speed of the block after the 2,60 m.

Please explain/name all formulas used.

Answers

The speed of the block after the 2,60 m is determined as 6.38 m/s.

What is the work done on the block?

The work done on the block is calculated by applying the principle of Newton's second law of motion to determine the net work done on the block as shown below.

W = F(net)d

where;

F(net) is the net forced is the distance

F(net) = Fcosθ - Ff

where;

F is the applied forceFf is the frictional force

F(net) = 50 cos(30) - 4.2

F(net) = 39.1 N

The speed of the block is calculated by applying the principle of work energy theorem.

K.E = W

¹/₂mv² = F(net)d

mv² = 2F(net)d

v² = [2F(net)d] / m

v = √[2F(net)d] / m]

v = √[2 x 39.1 x 2.6] / 5]

v = 6.38 m/s

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cliff divers at Acapulco jump into the sea from a cliff 37.4 m high. at the level of the sea, a rock sticks out a horizontal distance of 12.08 m. the acceleration of gravity is 9.8 m/s^2. with what minimum horizontal velocity must the cliff divers leave the top of the cliff if they are to miss the rock?

Answers

4.42 m/s is minimum horizontal velocity with the cliff divers leave the top of the cliff if they are to miss the rock.

Height of the cliff is given as [tex]h=37.4m[/tex]

now the time taken by the diver to hit the surface is given as

[tex][h=1/2gt^2],[37.4=1/2\cdot9.8t^2],[t=2.73s][/tex]

Now in the same time it has to cover a distance of 12.08 m

the speed in horizontal direction

[tex][v_x=x/t],[v_x=12.08/2.73],[v_x=4.42m/s][/tex]

The projectile motion, which has both vertical and horizontal velocity to consider, often uses horizontal velocity.It has the same dimension as velocity,metre per secondand is denoted by the symbol [tex]V_x[/tex]

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what happens when you throw something heavy vs throwing something light?

Answers

Answer:

throwing something heavy will take longer to throw then something light because force times time,  the heavier object will take longer to throw, and will acquire more momentum

Explanation:

this is an example of a gas

Answers

An example of gas is Air.

Common examples of gases are oxygen, carbon dioxide nitrogen hydrogen helium steam dry ice, etc. Gases are considered much less dense than solids and liquids because the particles they contain are much more dispersed. It's a mixture of different gases. The air in Earth's atmosphere is composed of approximately 78% nitrogen and 21% oxygen.

Air also contains small amounts of other gases such as carbon dioxide neon and hydrogen. Gas is a sample of matter that conforms to the shape of the container and assumes a uniform density within the container, regardless of the amount of matter in the container, even in the presence of gravity. Gas is a substance that is completely gaseous at normal temperature and pressure.

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A major appliance manufacturer that has been purchasing electronic controls from a supplier makes the decision to design and develop the controls​ in-house. What type of corporate strategy does this​ represent?.

Answers

The cooperate strategy that represents this is vertical integration.

A corporate strategy is a long-term plan with specific objectives for a business. Although each goal's objective may vary, the main aim of a corporate strategy is to advance the business.

Vertical integration is a tactic that enables a business to streamline operations by directly controlling different stages of the production process instead of depending on outside suppliers or contractors.

Instead of outsourcing these operations, a business might achieve vertical integration by acquiring or forming its own manufacturers, distributors, and retail outlets. However, due of the significant initial capital expenditure needed, vertical integration may be deemed risky with potential drawbacks.

Therefore, vertical integration is the cooperative method that represents "A big appliance maker that has been buying electronic controls from a supplier decides to design and build the controls in-house."

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How many valence electrons occupy σ‑bond orbitals, and how many occupy π‑bond orbitals?.

Answers

Two valance electrons are occupied by б-bond and four valance electrons occupy π- bonds.

Sigma and pi bonds are types of covalent bonds that differ in the overlapping of atomic orbitals. Covalent bonds are formed by overlapping the atomic orbitals.

Generally, all single bonds are sigma bonds. They can be formed via the following combination of atomic orbitals.

During the formation of pie bonds, the axes of the atomic orbitals are parallel to each other whereas the overlapping is perpendicular to the internuclear axis.

Pi bonds are generally weaker than sigma bonds.

Therefore there are two valance electrons in б-bonds and four electrons in π-bonds.

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State what an electromagnet is.
Describe how to measure and change the current of a circuit.
Explain how to test the strength of an electromagnet.
Explain three ways to change the strength of an electromagnet.

Answers

An electromagnet is a magnet that is made up of winding wire around an iron core. When the current flows through the coil then that iron becomes a magnet.

The electric current is measured with an ammeter,

Test the strength of the electromagnet by seeing how many paper clips it can pick up.

Increasing the coil and electric current will change the strength of an electromagnet.

What is an electromagnet?

Electromagnet:

An electromagnet is a magnet that is made up of winding wire around an iron core. When the current flows through the coil then that iron becomes a magnet but when the current supply is turned off so it will lose its magnetic properties.

The electric cutting edge in one part of a circuit is measured with an ammeter, which gives an analysis of the ampere. To take the measurement, an opening is made in the circuit and the ammeter is connected to that hole so that the charged debris moving across the circuit needs to bypass the meter.

Strength of electromagnet:

1. Test the strength of the electromagnet by seeing how many paper clips it can pick up.

2. Record the number of paper clips on the worksheet.

3. Disconnect the wire from the battery after testing the electromagnet.

4. Test how varying the design of the electromagnet affects its strength.

Change the strength of the electromagnet:

You can make an electromagnet more potent by doing this stuff: wrapping the coil around a bit of iron (inclusive of an iron nail) and adding extra turns to the coil. growing the contemporary flowing through the coil.

So we can conclude that a magnet that is made up of winding wire around an iron core is called an electromagnet.

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Give reason for the following (9*1=9 marks)
a)It is difficult to hold a school bag having a strap made of a thin and strong string.
b)An iron nail sinks in water.
c)A camel can run efficiently in the desert sand.
d)An army tank weighing more than a thousand tonnes rests upon a continuous chain.
e)Cutting tools have sharp edges.
f)A truck or motor bus has much wider tyres.
g)It is easier to swim in salt water than in freshwater.
h)The skydivers float in the air.
i)A block of plastic released under water comes up to the water's surface.

Answers

It is difficult to hold a school bag having a strap made of a thin and strong string, due to the relatively high strain on the shoulders.

What is pressure?

Pressure is defined as the force applied perpendicularly to an object's surface divided by the surface area over which it is applied.

There are three types of pressure.

Absolute pressureGauge pressureDifferential pressure

An iron nail sinks in water because density is more than that of water.

A camel can run efficiently in the desert sand because they have wide feet, which both increase the surface area of their feet and help them balance their weight on loose sand.

An army tank weighing more than a thousand tones rests upon a continuous chain because the tank, which weighs more than one ton, is supported by a continuous chain in order to disperse the force of the tank's weight over a wide region. Because force per area equals pressure.

Cutting tools have sharp edges so that they can generate a lot of pressure and readily cut objects.

A truck or motor bus has much wider tyres because more the area ,less the pressure.

It is easier to swim in salt water than in freshwater because the fluid density, the greater the upthrust.

The skydivers float in the air because at that point, the force exerted by gravity and air resistance on your body equals zero, causing your body to float in the air.

A block of plastic released under water comes up to the water's surface because plastic has a lower density than water, hence its buoyant force is larger than its weight.

Thus, it is difficult to hold a school bag having a strap made of a thin and strong string, due to the relatively high strain on the shoulders.

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each element has its own unique line emission spectrum, just like fingerprints. explain how this technique can be used to determine the elemental composition of stars.

Answers

Spectroscopy is the technique that astronomers most frequently apply to determine the creation of stars, planets, and other objects.

The study of how light and other types of radiation are absorbed and emitted by materials is known as spectroscopy. It entails separating light (or more specifically electromagnetic radiation) into its individual wavelengths (a spectrum), much as how a prism divides light into a rainbow of colors.The most well-known astronomical object is a star, which also serves as the primary component of galaxies. A galaxy's history, dynamics, and evolution can be traced by the age, distribution, and composition of its stars. Additionally, stars produce and distribute heavy elements like carbon, nitrogen, and oxygen, and their features are closely related to those of any planetary systems that may form around them. As a result, the core of astronomy is the study of the creation, evolution, and demise of stars.

Therefore , on conclusion i.e. each element has its own unique set of wavelengths that it can absorb light at. Based on these wavelengths, astronomers can determine the composition of an object from its spectra. Spectroscopy is the technique that astronomers most frequently apply to determine the build of stars, planets, and other objects.

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A body of mass 5.0kg being pulled by a horizontal force F.If the frictional force of 5N acts between the surfaces calculate the net force acting on it

Answers

The force that prevents motion when the surfaces of two objects come into contact is known as friction. The net force acting on the body is 55N

What is frictional force and pseudo force?

Pseudo-force, which is a hypothetical force similar to frictional force, always acts in the opposite direction that an item is moving in.

frictional force is of 3 types. static friction, limiting friction, kinetic friction.

Frictional force is the force created when two surfaces come into contact and slide against each other. Several factors influence frictional force: The surface texture and the amount of force impelling them together have the greatest influence on these forces.

so total force acting on the body

F net= Pseudo force+ frictional force

F net= ma+ 5= 5*10+5= 55 N

m= mass

a=g=acceleration due to gravity=10m/s²

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voltage amplifiers use a voltage input signal and a current output signal. select one: true false

Answers

Voltage amplifiers use a voltage input signal and a current output signal. This statement is false.

A voltage amplifier uses a voltage input and a voltage output.

In an electric circuit, the job of a voltage amplifier is to amplify the high input voltage as compared to the low input voltage.

In general, transistor function as voltage amplifiers in a circuit and are used to increase the power, voltage, and current of a signal.

Generally, these amplifiers are used in audio devices and equipment, radio and television broadcasting, wireless communications, and so on.

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A cougar with a mass of 80kg is standing at the edge of a cliff. Find the cougar's potential energy if the cliff is 70 m high.
I need help with the "work with units" part.

Answers

A cougar with a mass of 80 kg is standing at the edge of a cliff, then the cougar's potential energy, if the cliff is 70 m high, would be 54880 Joules.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.

As given in the problem a cougar with a mass of 80 kg is standing at the edge of a cliff, and if the cliff is 70 meters high then we have to find the potential energy,

The potential energy of the cougar = 80×9.8×70

                                                           =54880 Joules

Thus, the potential energy of the cougar would be 54880 Joules.

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1. A circuit is measured to have a current of 11.5 milliamperes. Which of the following values are equivalent to this measurement?

0 1150 amperes
0 1.15 10-2 amperes
0 0.0115 amperes
0 11.5 10-3 amperes
0 1.1510- amperes

Answers

The equivalent measurement of 11.5 milliamperes is 11.5 x 10⁻³ amperes.

What is an electric current?

The rate of flow of charge per unit cross - sectional area is called electric current. Mathematically -

i = dq/dt

From this -

dq = i dt

∫dq = ∫i dt

Q = it

Current is measured in amperes and is a Tensor quantity.

Given is a circuit that measured a current of 11.5 milli amperes.

Now, the current in milli amperes is used to give the measurement of small amount of current. One milliampere of current is equivalent to -

1 mA = (1/1000) A = 10 ⁻³ A

So, in order to calculate the total current in amperes, we will multiply 11.5 milliamperes by 10 ⁻³ as follows -

11.5 milliamperes [mA] = 11.5 x 10⁻³ amperes[A]

Therefore, the equivalent measurement of 11.5 milliamperes is 11.5 x 10⁻³ amperes.

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The average force necessary to stop a hammer having momentum of 25 NS , in 0.05 second is

Answers

The average force necessary to stop a hammer having momentum of 25 NS , in 0.05 second is 500N.

What is Momentum?

Momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on the particle equals the time rate of change of momentum. The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Regardless of the frame of reference, momentum is a conserved quantity in any inertial frame, which means that if an enclosed system is not subject to outside influences, its total linear momentum remains constant. Additionally, momentum is preserved in general relativity, electrodynamics, quantum mechanics, quantum field theory, and special relativity (using a modified formula). It is a manifestation of translational symmetry, one of the basic symmetries of space and time.

Force is given by Time/Impulse

​= 0.05/25

​ =500N

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Select all that apply power = _____
A. Work ÷ time
B. t / F x d
C. F x t/ t
D. F x d/ t
E. Work/time

Answers

The formulae that correctly represents the definition of power are -

P = W/t P = W ÷ t P = (F x d)/t

What is Power?

Power is defined as the rate of doing work. Mathematically -

P = dW/dt

P = d(Fx)/dt

P = Fdx/dt

P = Fv

Given are the various formulae for power.

Now as discussed above, Power is defined as the rate of doing work. If we write it mathematically -

Power = Work done/time taken

P = W/t

or

Power = Work done ÷ time taken

P = W ÷ t

Now, we know that work done is the product of force and displacement. So, we can write -

Power = Work done / time taken

Power = (force x displacement)/time taken

P = (F x d)/t

So the given three formulae are correct -

P = W/t  ,   P = W ÷ t   ,   P = (F x d)/t

Therefore, the formulae that correctly represents the definition of power are -

P = W/t P = W ÷ t P = (F x d)/t

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It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C.

What is the mass of the substance?

Answers

The mass of the substance is 14.58g.

Solution:

Heat  ΔQ = 350J

Initial temperature  T = 10°C

Final temperature [tex]T^{1}[/tex] = 30°C

Change in temperature:  

ΔT = [tex]T^{1}[/tex] - T

= 30 - 10

=  20°C

Specific heat: 1.2 J/g°C

The mass of a substance:

ΔQ = mcΔt

m = ΔQ/cΔt

= 350/1.2 x 20

= 14.58 grams.

Molecular weight is the sum of the average masses of the atoms in the molecules of a substance. It is calculated by adding together the atomic masses of the elements in the substance each multiplied by the index of the molecular formula whether stated or implied. The mass of 1 mole of a substance in 1 gram is called the molar mass.

Find the atomic weight of each element in the formula multiply it by the number of atoms of that element in the compound, and add it to all other elements. This gives the mass in grams of one mole of the molecule. The molar mass of a substance is the mass in grams of one mole of that substance. This mass is the atomic mass of the chemicals that make up the substance, expressed in atomic mass units AMU.

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Answer:

14.58 g or 15 g

Explanation:

a locomotive of mass 1.1 \times 10^51.1×10 ​5 ​​ kg pulls behind it two train cars, connected one after the other, each with mass 8.1\times 10^48.1×10 ​4 ​​ kg. the entire train begins to accelerate at 0.50.5m/s^2 ​2 ​​ .

Answers

The pulling force exerted by the locomotive of mass 1.1 * [tex]10^{5}[/tex] kg on the first train car of mass 8.1 * [tex]10^{4}[/tex] kg is 81 KN

F = m a

F = Force

m = Mass

a = Acceleration

Mass of each car = 8.1 * [tex]10^{4}[/tex] kg

Since the locomotive has to pull 2 cars,

m = 16.2 * [tex]10^{4}[/tex] kg

a = 0.5 m / s²

F = 16.2 * [tex]10^{4}[/tex] * 0.5

F = 8.1 * [tex]10^{4}[/tex] N

F = 81 KN

This formula used to solve the problem is derived from Newton's second law of motion. It states that the force is the rate of change in momentum. It can also be written as,

F = dp / dt

Therefore, the pulling force exerted by the locomotive on the first car is 81 KN

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A student starts at position (4, 4) m and undergoes three displacements:d1= (2, - 3) m, d2 = (- 5, 0) * m , and d3= (1, 6) * m

Answers

Initial position ( 4, 4 )

Add the displacements

d1 ( 2 , - 3 ) = ( 4 + 2 , 4 - 3 ) = ( 6 , 1 )

d2 ( -5,0 ) = ( 6 - 5, 1 + 0 ) = (1,1 )

d3 (1, 6 ) = ( 1 + 1 , 1 + 6 ) = ( 2 , 7 )

Final position (2, 7 )

Graph:

An object’s density is 15 g/cm^3 and its volume is 3 cm^3. What is its mass?
I need help!

Answers

The mass of the object that has a density of 15g/cm³ and a volume of 3cm³ is 45g.

How to calculate mass?

The density of a substance is the measure of the mass of matter contained by a unit volume. It can be calculated as follows:

Density = mass ÷ volume

This means that the mass can be calculated by multiplying the volume by the density of the substance.

According to this question, an object has a density of 15g/cm³ and a volume of 3cm³. The mass can be calculated as follows:

Mass = 3cm³ × 15g/cm³

Mass = 45g

Therefore, 45 grams is the mass of the object.

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which statement describes what is occurring at t=5 seconds?

Answers

The statement that describes at t =5 second is is the object speed up.

According to Newton's second law of motion, the acceleration of a body is equal to the net force acting on the body divided by its mass, a = Fm. This acceleration equation can be used to calculate the acceleration of an object if the mass of the object and the net force acting on it are known. The only acceleration of the projectile is the downward acceleration due to gravity.

The projectile has a vertical acceleration of 9.8 m/s/s throughout its trajectory. This acceleration value is constant. This means that the vertical velocity changes by the same amount every second. Instantaneous velocity is the speed of an object at a particular point in time. If the velocity is constant the average velocity for any time interval will not differ from the instantaneous velocity at that point in time.

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The graph shows a train traveling between two stations. Select what you think is the best interpretation of the graph.


Help in the explanation too

Answers

The best interpretation from the graph can be train speed up for 3 minutes, travelled at a steady speed for 2 minutes then speed up again.

What is speed?

Speed is defined as change in position of the body with respect to time or distance travelled by body per unit time is known as speed. Speed is a scalar quantity it have only magnitude.

Given graph in the question position or distance vs time initially the train is moving speed up for three seconds after that for two minutes train is moving with steady state, speed is not changing during this time after that train again speed up till end.

By looking at graph best interpretation is initially train speed up for 3 minutes, travelled at a steady speed for 2 minutes then speed up again.

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Two friends are pulling a 75 kg sled across a frozen pond on a windy day. Amy pulls with 175 N and Naomi pulls with 125 N in the same direction. There is a frictional force of 140. N and the wind pushes back on the sled with a force of 120. N. What is the sled's acceleration?
A. 3.04 m/s^2 right
B. 9.4 m/s^2 left
C. 2.3 m/s^2 left
D. 0.53 m/s^2 right

Answers

Answer:

See below

Explanation:

NET forward force =  175 + 125 -140 -120 = 40N

F = ma

40 = 75 * a

a = 40 / 75 = .53 m/s^2   to the right (? <===if they are pulling to the right)

               

Question 6 options:

A. 5.9 m/s^2 right, 530 N
B. 4.6 m/s^2 left, 290 N
C. 1.3 m/s^2 right, 315 N
D. 2.7 m/s^2 left, 150 N

Answers

The acceleration of the system is 4.6 m/sec² and tension in the rope is 290 N.

What is acceleration?

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.

Given in the question two masses each of mass 30 kg and 20 kg a boy pull them with force of 500 N in opposite to that there is force of 196 N on 20 kg mass and frictional force 73.5 N on 30 kg mass net force is given as 230.5 N and total mass is 50 Kg .

So, acceleration = 230.5/ 50

                        a = 4.61 m/sec²

And tension on the rope is 290 N.

The acceleration of the system is 4.6 m/sec² and tension in the rope is 290 N.

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5. A 950 kg car is driven up a hill at constant velocity of 7 m/s, where 1200 N of friction
and drag oppose its motion.
constant velocity
a. Draw a force diagram for the car.
b. What is the weight of the car?
c. Calculate the normal force on the car.
d. Calculate the force on the car that allows it to go up the hill.

Answers

a)The image is attached to the question

b) The weight is 9310 N

c) The normal force is -9310 N

d) The net force is 8110 N

What is the normal force on the car?

Let s recall that action and reaction are equal and opposite. This implies that the normal force and the weight of the object are the same in magnitude but opposite in direction. Given this, we can now answer the question as shown.

b) The weight of the car is obtained from 950 kg * 9.8 m/s^2 = 9310 N

c) The normal force on the car = -9310 N

d) The force on the car that allows it to go up the hill is the net force which is obtained from ;

9310 N - 1200 N = 8110 N

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two particles are separated by a certain distance. the force of gravitational interaction between them is f0. now the separation between the particles is tripled. find the new force of gravitational interaction f1.express your answer in terms of f0.

Answers

The force would be F0=9×F1

Solution

The equation describing the attractive force between two masses (m) separated by a distance (r) is known as Sir Isaac Newton's universal law of gravitation (F=Gmm/r²)

By putting the values given in the question -

F0= Gm1m2÷r²

F1=Gm1m2÷(3r)²

By dividing F0 and F1 we get -

F0=9×F1

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Look at the graph below. It shows the cost of heating a certain house month by month over the course of a year. During which times of the year is the most energy used for heating? Explain your answer.

Answers

The month with the most cost of heating is January followed by February and then December, mainly the winter months when the temperature is extremely cold.

What is the cost of energy usage?

The cost of energy usage is the amount of money spent to purchase or usage energy in a given time period.

The cost of energy usage increases as more and more energy is consumed or usage in heating, cooking, production, etc.

From the given bar graph, we can conclude that the cost of heating the certain house increases in the following months;

January  - $55

February - $49

March - $40

December  - $42

Thus, the month with the most cost of heating will have the tallest bar when compared to other months.

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Classify Earth's layers based on their physical properties.​

Answers

There are three layers of Earth:

Crust, mantle, and core.

Crust:  The crust is that the outmost layer of the earth, the cooled and hardened part of the planet that ranges comprehensive from more or less 5-70 klick (~3-44 miles).

This layer makes up only one of the whole volume of the planet, although it makes up the whole surface (the continents and also the ocean floor).The dilutant elements are the oceanic crust, which underlies the ocean basins at a depth of 5-10 klick (~3-6 miles), whereas the thicker crust is that of the continental crust.

Mantle: The mantle is present between the Earth's crust and its super - heated inner layer and is almost 2900 km thick.

This layer makes up 84% of Earth's total volume.

Core: The innermost and the hottest layer of Earth is known as the core.

Most liquid metals reside in this specific layer like Iron and Nickel.

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A hiker walks 23.87 m, E and 12.90 m, N. What is the direction of his resultantdisplacement?

Answers

23.38 ° to the positive x-axis

Explanation

Step 1

draw the vectors

Step 2

add the vectors, ( component to component)

so

a) get the components of V1

[tex]\begin{gathered} 23.87\text{ at 0\degree} \\ so \\ V_{1x}=23.87\text{ cos 0=23.87} \\ V_{1y}=23.87\text{ sin 0= 0} \end{gathered}[/tex]

b) components of V2

[tex]\begin{gathered} 12.9\text{ at 90 \degree} \\ so \\ V_{2x}=\text{ 12.9 cos 90=0} \\ V_{2y}=12.9\text{ sen 90=12.9} \end{gathered}[/tex]

c) add

[tex]\begin{gathered} Vdis_x=23.87+0=23.87 \\ Vdis_y=0+12.9 \end{gathered}[/tex]

so, the magnitude of the displacement is

[tex]\begin{gathered} \lvert Vd\rvert=\sqrt[]{V^2_x+V^2_y} \\ replace \\ \lvert Vd\rvert=\sqrt[]{23.87^2+12.9^2} \\ \lvert Vd\rvert=27.132 \end{gathered}[/tex]

finally, the direction

as we have a rigth triangle

let

opposite side= 12.9

adjacent side=23.8

Now, use the tan function to find the angles

so

[tex]\begin{gathered} \tan \emptyset=\frac{opposite\text{ side }}{\text{adjancent side}} \\ \text{replace} \\ \tan x=\frac{12.9}{23.87} \\ \text{isolate x} \\ x=\tan ^{-1}(\frac{12.9}{23.87}) \\ x=28.38 \end{gathered}[/tex]

therefore, the direction of the resultant is

23.38 ° to the positive x-axis

I hope this helps you

What do you think causes the changes in motion and changes in shape of colliding objects?

Answers

I think what causes the change in motion is the force it has hitting another object

7. Three forces act at a point 0 as shown below. If point 0 is in equilibrium. Find the value of P and Q respectively. 30% Q 10v3N A. 20√3N and 30N B. 10N and 30N C. 20√3N and 10N D. 20N and 10N​

Answers

If point 0 is in equilibrium. P and Q values, respectively. 30% Q 10v3N equals 20√3N and 10N

What is equilibrium?

A state of a system in which neither its state of motion nor its internal energy state changes over time It is a state of equilibrium between opposing forces or actions that can be static (as in a body acted on by forces with a zero resultant) or dynamic (as in a reversible chemical reaction when the rates of reaction in both directions are equal).

When a particle's net external force is zero, the particle is said to be in equilibrium. Using Newton's First Law of Motion, we can say that the particle is either at rest or in uniform motion.

To learn more about equilibrium, refer to:
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