When a chocolate bar is a solid does it have low thermal energy?

Answers

Answer 1

Answer:

Tiny particles in solids, liquids and gases are always in motion. It is the motion of particles that creates a form of energy called thermal (heat) energy that is present in all matter. The particles in solids are tightly packed and can only vibrate. Matter in its solid state has the lowest amount of thermal energy (for that type of matter). Because solids have less thermal energy than liquids or gasses, the atoms in their solid state move very little.

Explanation:

So yes, chocolate has VERY low thermal energy


Related Questions

What are three ways less gravity changes the human body

Answers

Muscle atrophy, Bone atrophy, and lower blood volume

The upward force on a car that is falling off a cliff is what?

a. air resistance
b. momentum
c. inertia
d. terminal velocity

Answers

Answer:

A. air resistance

Explanation:

I think so

Who is Josh Gibson write a short paragraph 3-5 sentences

Answers

Answer:

Hope this helps

Explanation:

Josh Gibson, (born December 21, 1911, Buena Vista, Georgia, U.S.—died January 20, 1947, Pittsburgh, Pennsylvania), American professional baseball catcher who was one of the most prodigious home run hitters in the game’s history. Known as “the black Babe Ruth,” Gibson is considered to be the greatest player who never played in the major leagues, there being an unwritten rule (enforced until the year of his death) against hiring black ballplayers

Dos masas de 8kg es tan unidas en el extremo de una varilla de aluminio de 400mm de longitud. La varilla está sostenida en su parte media hora en círculos y solo puede soportar una tensión máxima de 800 N ¿cuál es la frecuencia máxima de revolución

Answers

Answer:

The maximum frequency of revolution is 3.6 Hz.

Explanation:

Given that,

Mass = 8 kg

Distance = 400 mm

Tension = 800 N

We need to calculate the velocity

Using centripetal force

[tex]F=\dfrac{mv^2}{r}[/tex]

Where, F= tension

m = mass

v= velocity

r = radius of circle

Put the value into the formula

[tex]800=\dfrac{8\times v^2}{200\times10^{-3}}[/tex]

[tex]v^2=\sqrt{\dfrac{800\times200\times10^{-3}}{8}}[/tex]

[tex]v=4.47\ m/s[/tex]

We need to calculate the maximum frequency of revolution

Using formula of frequency

[tex]f=\dfrac{v}{2\pi r}[/tex]

Put the value into the formula

[tex]f=\dfrac{4.47}{2\pi\times200\times10^{-3}}[/tex]

[tex]f=3.6\ Hz[/tex]

Hence, The maximum frequency of revolution is 3.6 Hz.

whu is it important to mave regular supervision of weights and measurements in the market​

Answers

Answer:

Hope the answer helped you. if yes pls follow me

Explanation:

the fundamental answer is without regular supervision of definition of weights and measures,commerce exchange will be impossible and there would be no market whatsoever for anything.

Answer:

the fundamental answer is without regular supervision of definition of weights and measures,commerce exchange will be impossible and there would be no market whatsoever for anything.

Explanation:

"who"

A water-balloon launcher with a mass of 2.0 kg is suspended on a wire. It
fires a 0.75 kg balloon to the west at a velocity of 14.0 m/s. What is the
resulting velocity of the launcher if the net force on the launcher is equal to
the reaction force?
A. 5.3 m/s east
B. 6.6 m/s west
C. 7.4 m/s east
D. 37.3 m/s east

Answers

Answer:

5.3

Explanation:

Answer:

5.3 m/s east

Explanation:

19. Calculate the work done when a 30 N force pushes a rock 10 m. a) 3J b) 0.33 J c) 40 J d) 300 J

20. How far did a rock move if a force of 200 N moved it doing 100 J of work? a) 2 m b) 0.5 m c) 20,000 m d) 300 m

21. An explosion of gas from a Hawaiian volcano blows a rock into the sky. the rock has 2000J of kinetic energy. What was its mass if the rock had a velocity of 20m/s. a) 200Kg b) 20,000Kg c) 10Kg d) 200Kg

22. How much potential energy does a 2 kg book have if it is 2 meters from the ground? a) 39.2J b) 12 J c) 19.6 J d) 98 J

23. 45J of work were done on the object that moved 5M. How much force was applied to the object? a) 8N b) 9N c) 225N d) ON

24. If you do 40 joules of work lifting a 10N box, how high is the shelf you move it to. a) 400m b) 50m c) 40m d) 4m

25. A force of 100 newtons was necessary to lift a rock. A total of 150 joules of work was done. How far was the rock lifted? a) 1.5 m b) 15 m c) 0.15 m d) 150 m​

Answers

19. Calculate the work done when a 30 N force pushes a rock 10 m. a) 3J b) 0.33 J c) 40 J d) 300 J

20. How far did a rock move if a force of 200 N moved it doing 100 J of work? a) 2 m b) 0.5 m c) 20,000 m d) 300 m

21. An explosion of gas from a Hawaiian volcano blows a rock into the sky. the rock has 2000J of kinetic energy. What was its mass if the rock had a velocity of 20m/s. a) 200Kg b) 20,000Kg c) 10Kg d) 200Kg

22. How much potential energy does a 2 kg book have if it is 2 meters from the ground? a) 39.2J b) 12 J c) 19.6 J d) 98 J

23. 45J of work were done on the object that moved 5M. How much force was applied to the object? a) 8N b) 9N c) 225N d) ON

24. If you do 40 joules of work lifting a 10N box, how high is the shelf you move it to. a) 400m b) 50m c) 40m d) 4m

25. A force of 100 newtons was necessary to lift a rock. A total of 150 joules of work was done. How far was the rock lifted? a) 1.5 m b) 15 m c) 0.15 m d) 150 m19. Calculate the work done when a 30 N force pushes a rock 10 m. a) 3J b) 0.33 J c) 40 J d) 300 J

20. How far did a rock move if a force of 200 N moved it doing 100 J of work? a) 2 m b) 0.5 m c) 20,000 m d) 300 m

21. An explosion of gas from a Hawaiian volcano blows a rock into the sky. the rock has 2000J of kinetic energy. What was its mass if the rock had a velocity of 20m/s. a) 200Kg b) 20,000Kg c) 10Kg d) 200Kg

22. How much potential energy does a 2 kg book have if it is 2 meters from the ground? a) 39.2J b) 12 J c) 19.6 J d) 98 J

23. 45J of work were done on the object that moved 5M. How much force was applied to the object? a) 8N b) 9N c) 225N d) ON

24. If you do 40 joules of work lifting a 10N box, how high is the shelf you move it to. a) 400m b) 50m c) 40m d) 4m

25. A force of 100 newtons was necessary to lift a rock. A total of 150 joules of work was done. How far was the rock lifted? a) 1.5 m b) 15 m c) 0.15 m d) 150 m19. Calculate the work done when a 30 N force pushes a rock 10 m. a) 3J b) 0.33 J c) 40 J d) 300 J

20. How far did a rock move if a force of 200 N moved it doing 100 J of work? a) 2 m b) 0.5 m c) 20,000 m d) 300 m

21. An explosion of gas from a Hawaiian volcano blows a rock into the sky. the rock has 2000J of kinetic energy. What was its mass if the rock had a velocity of 20m/s. a) 200Kg b) 20,000Kg c) 10Kg d) 200Kg

22. How much potential energy does a 2 kg book have if it is 2 meters from the ground? a) 39.2J b) 12 J c) 19.6 J d) 98 J

23. 45J of work were done on the object that moved 5M. How much force was applied to the object? a) 8N b) 9N c) 225N d) ON

24. If you do 40 joules of work lifting a 10N box, how high is the shelf you move it to. a) 400m b) 50m c) 40m d) 4m

25. A force of 100 newtons was necessary to lift a rock. A total of 150 joules of work was done. How far was the rock lifted? a) 1.5 m b) 15 m c) 0.15 m d) 150 m

please mark me as brainliest.......

follow me......

The Earth’s ________________ on its ________ causes day and night.

Answers

Answer:

1. rotation. 2. axis

Explanation:

The Earths rotation on its axis causes day and night

1. There is a group of kids playing tee ball in front of your house. If the bat is 5kg traveling with a velocity
of 8m/s, with what velocity will the 1.5 kg ball travel after it is hit by the bat?

Answers

Answer: tug vi

Explanation:

Because

The drawing shows a 26.1-kg crate that is initially at rest. Note that the view is one looking down on the top of the crate. Two forces, and , are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is k = 0.347. Determine the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the crate.

Answers

Answer:

(a). The magnitude of the acceleration of the crate is 1.44 m/s².

(b). The direction  of the crate is 34.60°.

Explanation:

Given that,

Mass of crate = 26.1 kg

Coefficient of kinetic friction = 0.347

We need to calculate the resultant force

Using figure

[tex]F'=\sqrt{(F_{x}+F_{z})^2+F_{y}^2}[/tex]

Put the value into the formula

[tex]F'=\sqrt{(88\cos{55}+54)^2+(88\sin 54)^2}[/tex]

[tex]F'=126.4\ N[/tex]

(a). We need to calculate the acceleration of the crate

Using formula of sum of force

[tex]\sum{F}=F'-\mu N[/tex]

[tex]ma_{total}=F'-\mu mg[/tex]

[tex]a_{total}=\dfrac{F'}{m}-\mu g[/tex]

Put the value into thr formula

[tex]a_{total}=\dfrac{126.4}{26.1}-0.347\times9.8[/tex]

[tex]a_{total}=1.44\ m/s^2[/tex]

(b). We need to calculate the direction

Using formula of the direction

[tex]\theta=\tan^{-1}(\dfrac{F_{y}}{F_{x}+F_{z}})[/tex]

Put the value into the formula

[tex]\theta=\tan^{-1}(\dfrac{88\sin55}{88\cos55+54})[/tex]

[tex]\theta=34.60^{\circ}[/tex]

Hence, (a). The magnitude of the acceleration of the crate is 1.44 m/s².

The direction  of the crate is 34.60°.

1300 J of work are done when a rock is pushed 40 m. How much force was used? ​

Answers

Explanation:

Work=ForcexDisplacement

Force= Work/Displacement

= 1300/40

= 32.5 N

how far will a 600 kg boat travel in 12 s if there is a constant 900 N force on it and it starts from rest?​

Answers

Answer:

Distance, S = 108 meters.

Explanation:

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

[tex] F = ma[/tex] ............equation 1

Where;

F represents force measured in Newton. m represents the mass of an object measured in kilograms. a represents acceleration measured in meters per seconds square.

Given the following data;

Since the boat is starting from rest, initial velocity, u = 0

Mass, m = 600kg

Time, t = 12s

Force, F = 900N

Substituting into equation 1, we have;

[tex] 900 = 600*a[/tex]

[tex]a = \frac{900}{600}[/tex]

Acceleration, a = 1.5 m/s²

T

To solve for distance, we would use the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Substituting the values into the equation, we have;

[tex] S = 0(12) + \frac {1}{2}*1.5* 12^{2}[/tex]

[tex] S = 0 + 0.75* 144[/tex]

Distance, S = 108m

Therefore, the distance covered by the boat is 108 meters.

An object falls from the Transco Tower in Houston and takes 15 seconds to reach the ground. How tall is the building:​

Answers

Answer: 1102.5 meters

Explanation:

When your blood pressure is low, choose a choice below that explains what occurs.
A. The nervous system signals smooth muscles in the blood vessels to relax to decrease blood pressure.
B. The nervous signals smooth muscles in the blood vessels to relax to increase blood pressure.
C. The nervous system signals smooth muscles to contract to decrease blood pressure.
D. The nervous system signals smooth muscles in the blood vessels to contract to increase blood pressure

Answers

Answer:

The correct option is;

D. The nervous system signals smooth muscles in the blood vessels to contract to increase blood pressure

Explanation:

The contraction or relaxation of the vascular smooth muscles lead to the blood vessel volume change and blood pressure change such that the blood is redirected to regions of the body that requires instantaneous increased oxygen intake. As such the nervous system signals the blood vessel's vascular smooth muscle to contract, through vasoconstriction so as to raise the blood pressure, when the blood pressure is low.

Which of the following individuals would be best classified as being in identity diffusion?
A.
Pauline isn’t interested in politics because she’d like to enjoy being a kid longer.
B.
Richard has decided to become a Democrat after much soul searching.
C.
Maria has adopted her parents’ identification as Protestant without considering other options.
D.
Pierce is trying many different identities but hasn’t decided on one yet.

Answers

Answer: C

Explanation: after reading it over and over shes the most reasonable. But I could be wrong so be cautious.

According to the question, Maria would be best classified as being in identity diffusion. So, option (C) is correct answer.

What is identity diffusion?

People who are experiencing identity diffusion haven't chosen an ideological or occupational route for the future and aren't making any effort to do so. Identity diffusion occurs during adolescence, a time when individuals are attempting to define their identities, but it can also last into adulthood.

When a person isn't actively forming an identity or committing to one, identity diffusion happens.Many people go through a phase of identity diffusion in their early years of adolescence or in childhood, which they eventually grow out of. Long-term identity diffusion is yet conceivable.James Marcia created four "identity statuses" in the 1960s, and identity diffusion is one of them. These identity statuses are a continuation of Erik Erikson's research on the formation of teenage identities.

In the question, Maria has adopted her parents’ identification as Protestant without considering other options. She   haven't chosen an ideological or occupational route for the future and aren't making any effort to do so.  So, Maria  would be best classified as being in identity diffusion.

To learn more about identity diffusion, refer the link:

https://brainly.com/question/4412284

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Which quantity is a vector?
displacement
distance

Answers

I think it’s displacement. May i please receive brainliest :)

A car traveling 60 miles west (-) stops and then travels another 20 miles
west (-). The car then loops around and travels back to the east (+) a total
of 10 miles. What is the displacement of the car?*

Answers

Answer:

128

Explanation:

One clomiter is 1.06 multipled by 80

A gas is compressed to 75cm3 to a volume of 30cm3. Its temperature remains the same The pressure of the gas after it has been compressed is 110 Pa. What was the pressure before it was compressed?

Answers

Given parameters:

Initial volume  = 75cm³

New volume  = 30cm³

New pressure  = 110Pa

Unknown:

Initial pressure = ?

Solution:

Condition: temperature is constant

We simply apply Boyle's law to this problem:

   " the volume of a fixed mass(mole) of a gas varies inversely as the pressure changes if the temperature is constant".

  Mathematically;

          P₁ V₁  = P₂ V₂

where P and V are pressure and volume values

          1 and 2 are the initial and final states.

Input the parameters and solve for P₁;

     P₁ x 75  = 110 x 30

   P₁ = 44Pa

         

The initial pressure is 44Pa

When converting from smaller to larger units the decimal point travels right *

Answers

Answer:

False, it travels left.

Explanation:

Hello.

In this case, we can answer this with an example. If we have 200 g and we want that value in a larger unit, for instance, kilogram, the following conversion is performed since 1 kg equals 1000 g:

[tex]200g*\frac{1kg}{1000kg}=0.200g[/tex]

Whereas we needed to move the decimal point from right to left, which means that it travels left, that is why the statement is false.

Best regards.

The stage of respiration that releases most of the energy in glucose occurs in the ______.

Answers

This answer is Mitochondrion.

What is the momentum of a 950 kg car moving at 10.0 m/s?

9.5 kgm/s
95 kgm/s
9500 kgm/s
95000 kgm/s

Answers

Answer:

The answer is 9500 kgm/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question

mass = 950 kg

velocity = 10.0 m/s

We have

momentum = 950 × 10

We have the final answer as

9500 kgm/s

Hope this helps you

To determine the height of a bridge above the water, a person drops a stone and measures the time it takes for it to hit the water. If the time is 2.3 s, what is the height of the bridge? Neglect air resistance.

a. 32 m
b. 52 m
c. 26 m
d. 14 m
e. 10 m

Answers

s = 1/2 a t^2 = 1/2 x 9.8 x 2.3^2 = 26m

A stone dropped from a 26 m bridge, takes 2.3 s to reach the water.

A stone is dropped from a bridge and it experiences a uniformly accelerated rectilinear motion. It takes 2.3 s for the stone to reach the water.

We can calculate the height of the bridge, which is equal to the displacement of the stone, using the following kinematic equation.

[tex]s = ut + \frac{1}{2} a t^{2} = (0m/s)(2.3 s) + \frac{1}{2} (9.8m/s^{2} ) (2.3s)^{2} = 26 m[/tex]

where,

s: displacementu: initial speed (0 m/s)t: timea: acceleration due to gravity (9.8 m/s²)

A stone dropped from a 26 m bridge, takes 2.3 s to reach the water.

Learn more: https://brainly.com/question/14851168

A 5000 kg truck and a 1000 kg car are traveling at constant speeds when they collide. What is true about the forces and accelerations on each?

Answers

Impact of truck will be more because it has more weight and more inertia
And you can apply that all stuff you read from book
So yeah

Force is the physical action that can give acceleration to a body upon which it is applied

The true statements about the forces and accelerations of each when they collide are;

The force acting on the truck is equals the reactive force of the car The acceleration of the car is five times the acceleration of the truck

The reasons why the above statements are true are given as follows:

Known:

Mass of the truck, m₁ = 5,000 kg

Mass of the car, m₂ = 1,000 kg

Velocity of the truck = [tex]v_t[/tex]

Velocity of the car = [tex]v_c[/tex]

According to Newton's third law of motion, action and reaction are equal and opposite

The force applied by the truck, F = The reactive force by the car

Force, F = Mass, m × Acceleration, a

Let a₁ represent the acceleration of the truck and let a₂ represent the acceleration of the car, we have;

F = 5,000 × a₁ = 1,000 × a₂

[tex]a_2 = \dfrac{5,000 \ kg}{1,000 \ kg} \times a_1 = 5 \cdot a_1[/tex]

Therefore;

The acceleration (rate of change of velocity) of the car, a₂  due to the collision is five times the acceleration of the truck due to the collision

Learn more about the about force and acceleration here:

https://brainly.com/question/579701

A boy is going down a slide. As he reaches the bottom, friction causes him to slow down and stop. Which one of Newton's laws is this?
2nd law
3rd law
1st law
4th law

Answers

I think it’s the second law

The given condition satisfies the Newton's First Law of motion. Hence, option (C) is correct.

Given data:

A boy slides down and friction causes him to slow down and stop.

In the given problem, when boy was sliding down, then he was in the state of motion, such that the when the he reaches at the bottom of hill, the friction plays the role of external agent to stop its motion.

This shows that the first law of motion is clearly followed which says that, "If an object is in motion, then it will be in motion until and unless any external force is applied on it". This is also known as law of inertia.

Thus, we can conclude that the given condition satisfies the Newton's First Law of motion. Hence, option (C) is correct.

Learn more about the Newton's first law of motion here:

https://brainly.com/question/974124

how does a meteor transfer energy?

Answers

Answer:

Hope this answered your question!~ (Sorry if you get it wrong or I got it wrong-)

Explanation:

When an impact event happens, the enormous kinetic energy of the asteroid or meteorite – a massive body travelling at high speed – is partly transferred to the Earth but largely converted into heat and sound, creating pressure waves travelling radially outwards from its centre, similar to that of an atom bomb.

~The Confuzzeled homan

PLEASE HELP ME FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Basketball has a mass of 0.1kg

m = 0.1 kg

The basket ball is moving at constant speed, this shows that it is not accelerating. So, acceleration is zero

a = 0m/s²

The constant speed is 6m/s

v = 6m/s

So, force to keep it moving with this constant speed can be calculated using Newton second law of motion

F = ma

F = m × 0

F = 0N

So, since the basket ball is moving at constant speed, then, the force need to keep the ball moving is 0N.

A stone has a mass of 2kg and volume of 0.00025m3, what is the density of the stone?​

Answers

Answer:

density = [tex]\frac{mass}{volume}[/tex]

so,

     d = 2/0.00025

     d = 8000 kg/m3

III.
Solve:
1. An elephant puts a force of 30000N on its four feet, which have a total area of
750cm. What is the pressure exerted by the elephant on the
ground?

please explain T-T ​

Answers

Pressure = force / area = 30000/0.0750 = 400 000 N/m^2

where is the image located when an objectis placed 30cm from a convex lens with a focal length of 10cm?​

Answers

Answer:

15 cm

Explanation:

using the thin lens formula for convex lens

                            [tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}\\ \\where f = focal length \\ p = object distance \\ q = image distance\\[/tex]

 so,

         [tex]\frac{1}{q} = \frac{1}{f} - \frac{1}{p} \\\\\frac{1}{q} = \frac{1}{10} - \frac{1}{30} \\\frac{1}{q} = \frac{2}{30}\\\frac{1}{q} = \frac{1}{15cm}[/tex]

so,

    q = 15 cm

During a spacewalks an astronaut lets go of a tool, causing it to float away and bounce off the side of the space shuttle. The astronaut saw
the the tool hit the shuttle but did not hear it hit the shuttle. Why would the astronaut be able to see the tool hit the shuttle but not hear it
hit the shuttle?
FISH

Answers

Answer:

In space noone can hear you scream.....

Explanation:

There is no sound in space. Sound, like light or heat, is a wave. However, one major distinction is that, unlike light or heat (radiation), sound needs a medium to travel. Sounds require the presence of molecules or particles to travel from one region to another.

Other Questions
Read the excerpt from "Bone Detective." Diane made a rubber silicone mold of the impression. Then, she made a sturdy wax cast of the mold and sent it to a metalworks company. The foundry workers coated the wax mold with plaster and put it in an industrial oven. The wax melted off, leaving a plaster shell. The workers poured melted bronze into the shell, and the metal cooled and hardened into a bronze tiger tongue.Dianes casts of the tongue and paw allowed zoo visitors to share her amazing experience. People felt the roughness of the big cats tongue and spread a hand inside the palm of its giant paw. This, she decided, was one of the coolest things I have ever done. She savored the moment, knowing that far graver matters were always just a phone call away.Which of the following is a subjective statement from this excerpt?A. Diane made a rubber silicone mold of the impression.B. Then, she made a sturdy wax cast of the mold and sent it to a metalworks company.C. Dianes casts of the tongue and paw allowed zoo visitors to share her amazing experience.D. The wax melted off, leaving a plaster shell. 4x+14=6x+8Solve please Stefan estimates the income and expenses for rentinga phone accessory store in the mall. He enters theamounts in the table below. Should Stefanrent a phone accessory store? Explain. 12=3x-6 a.18 b.6 c.3 d.-616=4x+8a.1/2 b.4 c.2 d.64z+8=40 a.10 b.4 c.8 d.285x-7=38a.5 b.6 c.14 d.9-3x-9=24a.11 b.-11 c.5 d.-5 Question 15 of 20The best way for a student from a low-income background to secure fundingfor college is to receiveA. federal loansB. athletic scholarshipsC need-based aidD. merit-based aid 3(2x + 5) + 4 = 7what the answer to c How was the tone Benjamin Franklin used in the speech in the convention and what are his initial and final thoughts? There are 454 grams in a pound. Convert 330 grams to ounces. The main goal of science is to Please help me anyone? Solve the equation for x: 3x=.5 g If the pressure of each gas is increased at constant temperature until condensation occurs, which gas will condense at the lowest pressure The widespread acceptance that bacteria causes diseases helped lead to a public health movement in the late nineteenth and early twentieth centuries. This movement eventually brought sewers, clean drinking water, and garbage removal to all U.S. cities. The public health movement in the United States in the late nineteenth and early twentieth centuries was like a technological advance to the country's production possibilities, since both ____________ expanded secured the economy's productive capacity, the former by increasing the nation's ________ degree of sophistication effective workforce . Convert 0.0002 ug to mg:Please help What is the rate of change (slope) of the function y = 7x? A ribbon is 5 4/5 yards long. Mae needs to cut the ribbon into pieces that are 4/5 of a yard long. How many pieces of ribbon can she cut? Round four hundred seventy-six thousand three hundred twenty-one and fifty thousand eight hundred nine hundred-thousandths to the nearest dollar. identify the trivial detail: Settlers in the backcountry created new distinctive cultures, fueling social and ethnic tensions and often resulting in violent protest to express grievances."For TWO of the following, analyze the causes and effects of the revolt: *Bacon's Rebellion *Shay's Rebellion *Whiskey Rebellion Explain which ONE event best reflects the statement above. Explain why your choice is better than ONE of the other choices listed. PLEASE HELP!!! Read the proof.What is step 2?sin(2x) = cos(x)cos(x) sin(x)sin(x)sin(2x) = sin(x)cos(x) sin(x)cos(x)sin(2x) = cos(x)cos(x) + sin(x)sin(x)sin(2x) = sin(x)cos(x) + sin(x)cos(x)