The questions are

1. How much heat is needed to melt 10.0kg of lead at it’s melting point?

2. How much heat is needed to vaporize 10.0 kg of mercury at its boiling point?

3. A temperature of a 0.25 kg sample of copper decreases from 75.0 degrees Celsius to 25.0 degrees Celsius. How much heat flows out of the copper sample?

4. When 8,000 joules of heat are removed from a sample of mercury, the temperature of the sample is decreased from 40 degrees celsius to 15 degrees celsius. what is the mass of the sample?

5. Thermal energy of a substance is the sum of the potential energy and kinetic energy of the particles that make it up. Let’s say you had a hot cup of water and a cold cup of water, then mixed them. Illustrate the behavior of the particles before and after thermal equilibrium is reached

The Questions Are1. How Much Heat Is Needed To Melt 10.0kg Of Lead At Its Melting Point?2. How Much Heat

Answers

Answer 1

1. [tex]2.3\cdot 10^5 J[/tex]

The amount of heat needed to melt a substance at its melting point is:

[tex]Q=m\lambda_f[/tex]

where

m is the mass of the substance

[tex]\lambda_f[/tex] is the latent heat of fusion of the substance

For the sample of lead in this problem,

m = 10.0 kg

[tex]\lambda_f = 23000 J/kg[/tex] (latent heat of fusion of lead)

Substituting,

[tex]Q=(10.0 kg)(23000 J/kg)=2.3\cdot 10^5 J[/tex]

2. [tex]2.96\cdot 10^6 J[/tex]

The amount of heat needed to evaporate a substance at its boiling point is:

[tex]Q=m\lambda_v[/tex]

where

m is the mass of the substance

[tex]\lambda_v[/tex] is the latent heat of vaporization of the substance

For the sample of mercury in this problem,

m = 10.0 kg

[tex]\lambda_v = 2.96\cdot 10^5 J/kg[/tex] (latent heat of vaporization of mercury)

Substituting,

[tex]Q=(10.0 kg)(2.96\cdot 10^5 J/kg)=2.96\cdot 10^6 J[/tex]

3.  [tex]-4875 J[/tex]

The amount of heat released from the sample of copper is

[tex]Q=m C_s \Delta T[/tex]

where

m = 0.25 kg is the mass of the sample

[tex]C_s = 390 J/kg C[/tex] is the specific heat of copper

[tex]\Delta T = 25.0^{\circ}C - 75.0^{\circ}C=-50.0^{\circ}[/tex] is the change in temperature of the copper

Substituting the values into the formula, we find:

[tex]Q=(0.25 kg)(390 J/kg C)(-50.0^{\circ}C)=-4875 J[/tex]

And the negative sign means the heat has been released by the substance.

4. 2.29 kg

Similarly to the previous part, the amount of heat released from the sample of mercury is

[tex]Q=m C_s \Delta T[/tex]

where in this problem we know

m  is the mass of the sample

[tex]C_s = 140 J/kg C[/tex] is the specific heat of mercury

[tex]\Delta T = 15.0^{\circ}C - 40.0^{\circ}C=-25.0^{\circ}[/tex] is the change in temperature of the sample

Q = -8,000 J is the heat released by the sample

Solving the formula for m, we find:

[tex]m=\frac{Q}{C_s \Delta T}=\frac{-8000 J}{(140 J/kg C)(-25.0^{\circ})}=2.29 kg[/tex]

5.

When the two samples of water (hot water and cold water) are put in contact, thermal energy is transferred from the hot water to the cold water. This occurs because heat always flows from a hotter object to a colder object. The heat is transferred by collision between the molecules: the molecules of the hot water have on average more kinetic energy than the molecules of cold water, so when they collide to each other, the molecules of hot water transfer energy to the molecules of cold water. As a result, the kinetic energy of the molecules of cold water increases, and therefore the temperature of the cold water increases, while the temperature of the hot water decreases. This process lasts until the molecules of the two samples have same average kinetic energy: when this occurs, the two samples have same temperature, so the heat flow stops.

Answer 2

Answer:

1.Heat needed to melt [tex]10.0[/tex]kg of lead is [tex]$2.3 \cdot 10^{5}$[/tex]J.

2. Heat needed to vaporize [tex]10.0[/tex]kg of mercury is [tex]$2.96 \cdot 10^{6}$[/tex]J.

3.The heat which flows out of the copper sample is [tex]$-4875[/tex]J.

4.The behavior of the particles before and after thermal equilibrium reached is as the temperature of the hot and cold water remains constant for some time.

Explanation:

1. To find the heat needed to melt lead at its melting point is given by a formula,

[tex]$Q=m \lambda_{f}$[/tex]

As,

[tex]\lambda_{f}$=[/tex]Latent heat of the substance

[tex]m=[/tex]Mass of the substance

Given,

mass of lead[tex]=10.0[/tex]kg

We know that,the latent heat of lead is [tex]$23000 $[/tex] J/kg

So apply in formula,

[tex]$Q=(10.0 k g)(23000 J / k g)$[/tex]

[tex]=$2.3 \cdot 10^{5}$J[/tex].

2. To find, heat needed to vaporize mercury at its boiling point is given by a formula,

[tex]$Q=m \lambda_{v}$[/tex]

As,

[tex]$ \lambda_{v}=$[/tex]Latent heat of the substance.

[tex]m=[/tex]mass of the substance.

Mass of mercury[tex]=10.0[/tex]kg

We know that,the latent heat of Mercury is [tex]$2.96 \cdot 10^{5}$[/tex]J/kg

Apply in formula,

[tex]$Q=(10.0 \mathrm{~kg})\left(2.96 \cdot 10^{5} \mathrm{~J} / \mathrm{kg}\right)[/tex]

[tex]=2.96 \cdot 10^{6} $[/tex]J.

3. The amount of heat released from the sample of copper given by,

[tex]$Q=m C_{s} \Delta T$[/tex]

In  this,

[tex]m=[/tex]Mass of the copper sample

The specific heat of mercury,

[tex]$C_{s}=140 \mathrm{~J} / \mathrm{kgC}$[/tex]

Change in temperature of copper sample,

[tex]$\Delta T=15.0^{\circ} \mathrm{C}-40.0^{\circ} \mathrm{C}[/tex]

[tex]=-25.0^{\circ}$[/tex]

Also we know that,

[tex]$Q=-8,000 \mathrm{~J}$[/tex]

Mass value is as,

[tex]$m=\frac{Q}{C_{s} \Delta T}$[/tex]

Apply the value in formula we get,

[tex]$=\frac{-8000 . J}{(140 J / \mathrm{kgC})\left(-25.0^{\circ}\right)}[/tex]

[tex]=2.29 \mathrm{~kg}$[/tex].

4. The behavior of the particles before and after thermal equilibrium,

When we mix the hot cup of water and a cold cup of water, the molecules from hot water transters to cold water due to thermal energy.As collision between hot and cold water occurs,this collision is due to kinetic energy.Hence,the kinetic energy of the molecules of cold water increase,the temperature of the cold water also increase but kinetic energy in hot water decreases due to collision.When the kinetic energy of hot and cold water becomes equal,the temperature of the hot and cold water remains same for some time.

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Related Questions

What is the shape of an ammunition molecule

Answers

Answer:

The shape is a trigonal pyramidal shape.

Hope this helps you.

A force of 4400 N is exerted on a piston that has an area of 0.020 m.
What force is exerted on a second piston that has an area of 0.040 m-?
A. 8800
B.220,000
C.88
D.2200

Answers

Use Pascal's Law.

F1/A1 = F2/A2

F1 = 4400N

A1 = 0.020m^2

F2 = X

A2 = 0.040m^2

4400/0.020 = X/0.040

Cross multiply:

(4400 * 0.040) = 0.020X

176 = 0.020x

Divide both sides by 0.020

X = 176 / 0.020

X = 8800

The force is 8800 N

use pascal's law..to solve the question

Devon has several toy car bodies and motors. The motors have the same mass, but they provide different amounts of force, as shown in this table.

The bodies have the masses shown in this table.

Which motor and body should Devon use to build the car with the greatest acceleration?
motor 1, with body 1
motor 1, with body 2
motor 2, with body 1
motor 2, with body 2

Answers

Answer:

pretty sure its motor 2, with body 1

Explanation:

To build a car with the greatest acceleration, choose motor 2 and body 1.

How to calculate the acceleration of the car?

To find the car with the greatest acceleration, Devon should consider both the motor force and the body mass.

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

In this case, if Devon wants the greatest acceleration, he should choose motor 2 with body 1. Motor 2 provides the most force, and body 1 has the smallest mass.

This combination will result in the greatest net force and therefore the greatest acceleration.

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A 150 g egg is dropped from 3.0 meters. The egg is
moving at 4.4 m/s right before it hits the ground. The egg
comes to a stop in 0.072 seconds.
What is the magnitude of force that the ground exerted on
the egg?​

Answers

Answer:

9.2 N, with significant figure rounding (2 s.f.)

Explanation:

This problem can be solved using momentum. The following equation relates momentum (mass & velocity) with force and time:

Note that  where v is the final velocity and v₀ is the initial velocity. Δv just means change in velocity.

Mass of the egg is 150 g, but we need to convert to kilograms if we want to use Newtons as a unit. 150 g is equal to 0.15 kg. since 1000 g = 1kg. 

m = 0.15 kg

The dropped from 3.0 meters is irrelevant as the question tells us the initial velocity of the egg: 4.4 m/s before it hits the ground.

v₀ = 4.4 m/s [down]

When it comes to a stop, the egg will have a velocity of 0.

v = 0 m/s

The time it takes for the egg to stop is 0.072 seconds.

Δt = 0.072 s

Therefore, if down is positive, then

  

We round to two significant figures since every quantity has two sig. figs.

We only care about the magnitude, not direction. The answer is 9.2 N.

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5.0

The magnitude of force that the ground exerted on the egg is 9.2N

What is impulse?

The change in momentum is equal to the product of impact force applied while colliding and time for that impact.

F. t = m (Vf -Vi)

where, Vf is the final velocity and Vi is the initial velocity.

Given, mass of the egg is 150 g, m = 0.15 kg

The egg is dropped from 3.0 meters and the initial velocity v₀ = 4.4 m/s [down]

When egg strikes the ground, the egg will move with v = 0 m/s

The time taken for the egg to stop is Δt = 0.072 s

Substitute the values into the expression, we get

F x 0.072 = 0.15 x (0 - 4.4)

F = 9.16N

Thus the magnitude of force is 9.2 N.

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Positively charged particles within the nucleus of an atom are _________. A. electrons B. protons C. neutrons

Answers

In fact, all particles (atoms and molecules) in nature contain an equal number of protons (plus charged basic particles) and electrons (minus charged basic particles). Therefore, it is natural that the particles are uncharged.

The positively charged particles within the nucleus of an atom are protons. So, the correct option is B. Protons. Protons carry a positive charge while neutrons within the nucleus are neutral.

The positively charged particles within the nucleus of an atom are protons. Protons carry a positive charge that is exactly equal in magnitude to the negative charge carried by electrons. In a neutral atom, the number of protons in the nucleus is balanced by the same number of electrons outside the nucleus. It is important to note that neutrons, which are also located in the nucleus, carry no charge (they are neutral).

To summarize the particles in the nucleus:

Protons: Positively charged

Neutrons: Neutral (no charge)

What are close-toed shoes least likely to provide protection against?
hydrogen gas produced during a reaction
spilled water from a hot-water bath
broken glass from a dropped test tube
acid leaking from a cracked beaker

Answers

Hydrogen gas is harmless to your feet so since you don’t need protection against it that seems the best answer.

Answer: Hydrogen gas produced during a reaction

Explanation:

A chemical lab is a place where potential hazards oriented to the use of the chemicals can happen. These chemicals can cause injuries to the skin when come in contact directly or indirectly. Therefore, protective safety measures should be taken so as to protect oneself while working in a chemical lab.

Among the options given, hydrogen gas produced during a reaction is the correct option. This is because of the fact that close-toed shoes can provide protection against all types of chemical fluids. But the gases like hydrogen gas are reactive and they are permeable inside the shoe material hence, may cause damage.

The SI unit that is used to measure time is the

Answers

Answer:second

Explanation:

Answer:

The SI unit that is used to measure time is the 'second'.

Explanation:

The International System of Units has defined seven units of measure which are considered as a basic set from which all other SI units can be derived.

Hence, the base unit defined to measure the time is second. It is defined by the oscillations of the radiation which correspond to the transition between two levels of the caesium atom.

why does a person while firing a bullethold the gun tightly to his shoulders?

Answers

Answer:

in order to celebrate the animals victory!

Explanation:

because they have spent a long time in this revolution. they finally won so theyre firing bullets for celebration

state the following: Boyle's law and Charle's law ​

Answers

Boyle's law states that the volume of a given mass of gas is inversely proportional to the pressure provided that the temperature remains constant.

Charle's law states that the volume of a given mass of gas is directly proportional to temperature provided that the pressur remains constant.

Boyle's Law is a law stating that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature

find the average speed of a car that goes 80 miles in 3 hours.

Answers

Answer:

average speed = 80/3 miles per hour (exactly)

average speed = 26.7 mph (approximately)

Explanation:

average speed = distance/time

average speed = (80 miles)/(3 hours)

average speed = 80/3 miles per hour (exactly)

average speed = 26.7 mph (approximately)

Explanation:

80/3 mph is the average speed

Allison drew a diagram to illustrate radiation.


Which labels should replace the X and Y?

X: Matter
Y: Empty space
X: Large mass
Y: Small mass
X: Hot
Y: Cold
X: Earth
Y: Sun

Answers

Answer:

the answer is C.

Explanation:

radiation goes from hot to cold.

Based on the diagram that was drawn by Allison to illustrate radiation, the labels that should replace the X and Y is hot and cold.

Radiation simply means the emission or the transmission of energy in the form of particles or waves through space.

From the complete question, it should also be known that radiation is the energy that comes from a source and then travels through space at the speed of light. From the diagram that was drawn by Allison to illustrate radiation, the labels that should replace the X and Y is hot and cold.

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3. Which is not a primary color of light? blue red green yellow

Answers

Answer:

GREEN

Explanation:

Red, Blue, And Yellow are the only Primary colors.

No 2 colors can be combined to make Red, Blue, or Yellow, BUT BLUE AND YELLOW CAN BE COMBINED TO MAKE GREEN.

Therefor, Green is NOT a primary color of light!

Yellow is not a primary color of light.

Hence, the correct option is D.

In the additive color model, which is used in displays like computer screens and TVs, the primary colors of light are red, green, and blue. When combined at full intensity, these colors produce white light.

On the other hand, in the subtractive color model, which is used in mixing pigments like paint or ink, the primary colors are magenta, yellow, and cyan. When mixed in equal amounts, these colors produce black.

While blue, red, and green are primary colors of light, yellow is a primary color in the subtractive color model, but not in the additive color model of light.

Therefore, Yellow is not a primary color of light.

Hence, the correct option is D.

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How much heat is released to freeze 47.30 grams of copper at its freezing point of 1,085°C? The latent heat of fusion of copper is 205.0 J/g.

Answers

Answer:

=9696.5J

Explanation:

The latent heat of fusion of a unit mass of copper is the heat released when it changes from its molten state to solid state of the heat absorbed to melt it.

The total energy released is calculated using MLf where M is the mass of the copper and Lf is the latent heat of fusion.

=mLf

=47.30 grams×205.0J/g

=9696.5J

Answer:

-9697

Explanation:

thats the answer

please answer quick

The man is sitting on a bench. His mass exerts a force of 720 newtons down against the bench. What force does the bench exert against the man?


A. 0 N up

B. 360 N up

C. 720 N up

D. 1440 N up

Answers

Answer:

C. 720 N up

Explanation:

Newton's third law states that:

"When an object A exerts a force on an object B, then object B exerts an equal and opposite force on object A"

In this situation, we can imagine the man to be object A and the bench as object B. The force exerted by the man on the bench is:

720 N, down

So according to Newton's third law, the bench must exert an equal and opposite force on the man. Therefore, the force exerted by the bench must be

720 N, up

To move a heavy object, like a refrigerator what could be used to help decrease the frictional force?

Pick all that apply.

A. Remove everything in the refrigerator to lighten the load.
B. Put a lubricant between the surface of the object and the floor
C. Use round objects, like pencils , to decrease the friction and push the refrigerator over the pencils more easily

D. Use more force to push the refrigerator, with the help of a friend

(APEX)

Answers

Answer:

A. Remove everything in the refrigerator to lighten the load.

B. Put a lubricant between the surface of the object and the floor

C. Use round objects, like pencils , to decrease the friction and push the refrigerator over the pencils more easily

Explanation:

Force of friction is a resistance force which acts between two surfaces which are in relative motion. Friction is both boon and bane. Due to friction, we are able to sit, walk etc but also, due to friction there is dissipation of energy. Friction can be reduced by applying lubricants, reducing contact area, reducing the load.

F = μN where N is the normal force which depends on the mass.

Thus, by reducing the load, force of friction can be reduced. Round objects like wheels can also be used. By this the contact area reduces.

the momentum of a car travelinv in a straight line at 20 m/s is 24,500kg·m/s. what is the cars mass?​

Answers

m=p/v
m=24,500kg•m/sec/20 m/sec
m=1225kg
I hope this helps

Answer:

Explanation:

V= 20m/s

M= 24,500kg.m/s

M = m x v

m = M/v

m = 24,500/20

m = 1,225kg

How much elastic potential energy is stored in a bungee cord with a spring constant of 10.0 N/m when the cord is stretched 2.00 m?

A. 10.0 J
B. 20.0 J
C. 40.0 J
D. 200 J

Answers

Elastic potential energy stored in bungee cord is 20.0 J.

Answer: Option B

Explanation:

The elastic potential energy is a form of potential energy stored in elastic materials. Generally potential energy is the energy of any object when it is at rest. But in materials possessing elastic properties, they store these potential energy in the form of elastic potential energy and it is used when the elastic materials undergoes elastic deformation.

For example, if we consider a spring, the elastic potential energy of the spring will be zero, when it is not deformed elastically i.e., when the spring is not stretched or compressed. But the same spring will be exhibiting elastic potential energy when the spring is stretched or compressed. So, the formula for elastic potential energy is

      [tex]\text { Elastic potential energy }=\frac{1}{2} \times \text { spring constant } \times\left(\frac{\text {stretching}}{\text {compressing distance}}\right)^{2}[/tex]

In this case, as the spring constant of cord is given as 10 N/m and the stretching distance of the cord is given as 2 m, so the elastic potential energy stored in the cord will be

       [tex]\text { Elastic potential energy }=\frac{1}{2} \times 10 \times(2)^{2}=\frac{1}{2} \times 10 \times 4 = 20 J[/tex]

a satellite is orbiting Earth at a distance of 35 kilometers. The satellite has a mass of 500 kilograms. what is the force between the planet and the satellite

Answers

Answer:

The force between the planet and the satellite is 4.76 * 10³ Newtons

Explanation:

Given:

Mass of satellite = m = 500 kg

Distance of the satellite from Earth's surface = h = 35000 m

We know that:

Mass of Earth = M = 5.9 * 10²⁴ kg

Radius of Earth = R = 6.4 * 10⁶ m

Gravitational Constant = G = 6.673 x 10⁻¹¹ N m²/kg²

Force between Earth and an object is given as:

F = GmM/(R+h)²

= (6.673 x 10⁻¹¹ x 500 x 5.9 x 10²⁴)/((6.4 * 10⁶)+(3.5*10⁴))²

= (1.97*10¹⁷)/(6.435*10⁶)²

= (1.97*10¹⁷)/(4.14*10¹³)

= 4.76 * 10³ N

Answer: F = 4.76 * 10³ N

Explanation:

We know that the force of gravity between two objects is:

F = G*m*M/r²

Where M is the mass of earth, m is the mass of the satelite, r is the distance between the radius of the earth and the satelite and G is the gravitational constant, and the data that we have is:

Mass of satellite: m = 500 kg

Distance of the satellite from Earth's surface: H = 0.035x10^6 m

Radius of Earth: R = 6.4 x 10⁶ m

So we have that r = R + H = 6.435x10^6

Mass of Earth: M = 5.9 * 10²⁴ kg

Gravitational Constant: G = 6.673 x 10⁻¹¹ N m²/kg²

Then the force that the Earth does in the satellite is:

F = (1.97*10¹⁷)/(6.435*10⁶)²

F = (1.97*10¹⁷)/(4.14*10¹³)

F = 4.76 * 10³ N

Which statement is true for light passing into a medium that is more optically dense than the first medium through which it past

Answers

Answer:

light is refracted towards the normal.

Explanation:

The more dense medium have a higher refractive index and so the light slows down towards the normal.

The answer is the index of refraction of the second medium is lower.

choose the more reactive nonmetal. P or O

Answers

P always P because P is an awkward Dorian letter that can always be trusted

Oxygen (O) is generally considered the more reactive nonmetal compared to phosphorus (P), due to its higher electronegativity and its strong oxidizing properties.

When comparing the reactivity of phosphorus (P) and oxygen (O), it is important to consider their positions on the periodic table and their chemical properties. Oxygen, which is in the chalcogen group (Group 16), is a highly reactive nonmetal and a strong oxidizing agent that forms compounds with most elements. Being more electronegative, oxygen has a greater tendency to attract electrons, which makes it more reactive than phosphorus in many situations.

Phosphorus is also a very reactive nonmetal, particularly in its white phosphorus form, which can spontaneously inflame in air. However, in reactions with other nonmetals or in the formation of oxides, oxygen's higher electronegativity usually makes it the more reactive element. Therefore, oxygen is considered to be the more reactive nonmetal when compared to phosphorus.

A good way to de-magnetize something is to___.
A.) run a current through it.
B.) put it near a compass.
C.) heat it.
D.) place it in an electric field.

Answers

Answer:

C.) heat it.

Explanation:

Final answer:

The best method to de-magnetize something is to heat it up to its Curie temperature. This disrupts the magnetic field, making the material lose its magnetic properties.

Explanation:

The means to de-magnetize an object differ based on the nature of the item, but generally, one effective way to de-magnetize something involves heating it, option C.) Therefore, you can remove or disrupt the magnetic properties of a object by increasing its temperature. When an item is heated to a particular point, known as the Curie temperature, its magnetic domains become disorganized and the material is no longer magnetic. Other methods may involve disrupting the magnetic field via other means, but heating is a straightforward and commonly used method.

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Need help ASAP ????????

Answers

Answer:

Question 1 is true, question 2 is b

Which of the following items uses a wheel and an axle?
a) a bicycle
b) a wheel chair ramp
c) a pair of scissors
d) a shovel

Answers

The answer would be a bicycle as it uses both wheels and an axel

A 70kg skier moving at 5 m/sec down a slope what is the skier’s momentum

Answers

Answer:

Momentum of the skier is 350 Kg.m/sec

Explanation:

Momentum of a body can be calculated using the following rule:

P = m * v

where:

P is the momentum of the body

m is the mass of the body given as 70 Kg

v is the velocity of the body given as 5 m/sec

Substitute with the givens in the above rule to get the momentum of the skier as follows:

P = m * v

P = 70 * 5

P = 350 Kg.m/sec

Hope this helps :)

What’s the velocity of a ball falling with 100 joules of kinetic energy and a mass of 2 kilograms

Answers

Answer:

the velocity is 10 m/s

Explanation:

Using the expression for kinetic energy we have:

[tex]Ek=\frac{1}{2} *m*v^{2} \\\\Ek=100J\\m=2kg\\v=\sqrt{(2*100/2)}\\ v=10[m/s][/tex]

Answer:

10 m

Explanation:

10. The kinetic theory of matter states that __________.

atomic particles will move if the temperature is above the freezing temperature of water
atomic particles bounce off each other one time in their life
atomic particles are constantly bumping off each other because particles are in direct contact with each other at all times
all matter is made up of atomic particles which are in constant random motion

Answers

Answer:

I believe the answer is D- "all matter is made up of atomic particles which are in constant random motion."

Explanation:

Hopes this helps:)

Answer:

all matter is made up of atomic particles which are in constant random motion

Explanation:

Which of the following should not be included in a great summary?
A. Blaming your lab partner
B. New questions your experiment has generated
C. Your prediction
D. Your investigation plan

Answers

I am not sure of the answer but I think will be A

Match the vocabulary terms to their definitions.​

Answers

Answer:

1: work

2: energy

3: joule

1) The ability to cause change in matter

Energy

2) The product of force and the distance through which it moves

Work

3) metric unit of work and energy equals to one newton times one matter

joule

an aluminum bar is 2 m long at temperature of 20 degrees C what was the length of the bar be at temperature hundred degrees Celsius​

Answers

Answer:

L=2.003696

Explanation:

The question is on expansion due to heat

The general formulae is;

L= L₀ { 1+∝(T₂-T₁)}

where L₀ is initial length of bar at 20°, L is length of bar at asked temperatures, ∝ = 23.1× 10^-6 °c , T₂ is the final temperature, T₁ is the initial temperature in °c

Given;

L₀=2m

T₂=100°c

T₁=20°c

∝ = 23.1× 10^-6 °c

Substitute values in the equation

L= L₀ { 1+∝(T₂-T₁)}

L=2{1+23.1× 10^-6(100-20)}

L=2{1.001848}

L=2.003696

Final answer:

The length of the aluminum bar at a temperature of 100 degrees Celsius would be approximately 2.0009 meters.

Explanation:

The length of a metal bar can change with temperature due to thermal expansion. The relationship between the change in length and the change in temperature is described by the thermal expansion coefficient of the metal. In this case, we are given an aluminum bar that is 2 m long at a temperature of 20 degrees Celsius. To find the length of the bar at a temperature of 100 degrees Celsius, we can use the formula:

Lfinal = Linitial * (1 + α * ΔT)

Where Lfinal is the final length, Linitial is the initial length, α is the thermal expansion coefficient, and ΔT is the change in temperature. The thermal expansion coefficient for aluminum is approximately 0.0000225 per degree Celsius. Plugging in the given values:

Lfinal = 2 * (1 + 0.0000225 * (100 - 20))

Lfinal ≈ 2.0009 mSPJ11

Football helmets are made with padding that helps reduce head injuries when a player collides with an object. Which best explains how the padding reduces injuries? It extends the time of the collision. It reduces the time of the collision. It eliminates the reaction force of the object. It eliminates the action force of the object.

Answers

Answer:

It eliminates the reaction force of the object.

Explanation:

It eliminates the reaction force of the object by dissipating the energy on the compression of the padding material and distributing the force of impact over the large surface area. As less area would generate more stress by the force.

We know by the equation:

[tex]\sigma=\frac{F}{A}[/tex]

where F & A are force and area respectively.

Also the compression of material absorbs energy in the form of elastic potential energy given by the equation:

[tex]KE=\frac{1}{2} k.\Delta x^2[/tex]

where:

k= elastic constant

[tex]\Delta x[/tex]= change in the dimension of the elastic materiel

Answer:

it´s C

Explanation:

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