Physics : asked on arturo200
 03.06.2020

State the measurements should be made to determine the extension of the spring produced by the 4.0N weight

. 4

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Physics
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P Answered by PhD

See explanation

Explanation:

Hookes law states that; the displacement due to a stretching force is directly proportional to the magnitude of the deforming force.

F = ke

F = deforming force

k = force constant

e = extention

k = F/e

k = 4N/0.06 m= 66.67 Nm^-1

To determine the extension of the spring produced by the 4.0 N weight

1) We measure the original length of the spring

2) We measure the length after hanging the 4 N mass

3) Subtract the new length from the original length to determine the extention.

Physics
Step-by-step answer
P Answered by PhD

See explanation

Explanation:

Hookes law states that; the displacement due to a stretching force is directly proportional to the magnitude of the deforming force.

F = ke

F = deforming force

k = force constant

e = extention

k = F/e

k = 4N/0.06 m= 66.67 Nm^-1

To determine the extension of the spring produced by the 4.0 N weight

1) We measure the original length of the spring

2) We measure the length after hanging the 4 N mass

3) Subtract the new length from the original length to determine the extention.

StudenGPT
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P Answered by Studen AI
In this lab, the purpose was to determine the heat of fusion of water using calorimetry. Calorimetry is a technique used to measure the heat exchanged during a chemical or physical change. A calorimeter is an insulated container with chambers, where the outer chamber contains water and the inner chamber contains the materials undergoing change.

The principle behind calorimetry is that when two bodies at different temperatures come into contact, heat will flow from the warmer body to the colder body until they reach the same temperature. In this experiment, a simple Styrofoam-cup calorimeter was used, where ice was placed directly into a measured amount of water. The heat required to melt the ice was supplied by the water, and by measuring the temperature change (∆T) of the water, the quantity of heat exchanged between the water and the ice could be calculated. From this data, the heat of fusion of ice could be determined.

The formula used in this experiment is ∆q = mass x Cp x ∆T, where ∆q represents the heat lost or gained by the water, Cp is the specific heat for water (4.184 J/g*°C), and ∆T is the change in temperature (∆T = T_final - T_initial).

To differentiate between specific heat capacity and heat capacity, we need to understand their units and characteristics. Specific heat capacity (Cp) is the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. Its unit is J/g*°C. Heat capacity, on the other hand, is the amount of heat required to raise the temperature of an object by one degree Celsius. Its unit is J/°C. Specific heat capacity is an intensive property, meaning it does not depend on the amount of substance, whereas heat capacity is an extensive property that depends on the mass or quantity of a substance. We can differentiate them based on their units and the fact that specific heat capacity is intensive, while heat capacity is extensive.

The procedure for the lab is as follows:
1. Heat about 125 mL of water in a 250-mL beaker to a temperature of 50°C.
2. Measure exactly 100 mL of the heated water using a graduated cylinder and pour it into a Styrofoam cup. Record this volume as V1.
3. Measure and record the initial temperature of the water as T1.
4. Immediately add 2-3 ice cubes to the water in the cup.
5. Stir the ice-water mixture carefully with a thermometer, ensuring that the cup contains ice at all times. Continue stirring and adding ice if necessary until the temperature stabilizes and no longer drops. Record this final temperature as T2.
6. Carefully remove any unmelted ice, allowing the water to drain back into the cup. Measure and record the final volume of water in the cup as V2.

In the data and observations section, qualitative and quantitative observations are recorded. Qualitative observations may include any relevant visual or descriptive information, while quantitative observations involve measurable quantities gathered during the experiment.

To calculate the required values, perform the following calculations:
1. Calculate the mass (m1) of the original volume of water (V1) using the known density of water.
2. Find the volume of water resulting from the melted ice (V = V2 - V1).
3. Calculate the mass (m2) of the volume of water using the volume calculated in the previous step.
4. Determine the change in temperature of the water (∆T = T2 - T1).
5. Find the heat lost by the original mass of water (∆q = m1 x Cp x ∆T).
6. Calculate the heat of fusion (Hf) for ice by dividing the heat lost by the mass of water (Hf = ∆q / m2).
7. Calculate the percent error for the heat of fusion, comparing it to the known value obtained from class data.

In the conclusion, summarize the results and findings from the experiment. It should include the calculated heat of fusion of ice, any sources of error, and how the experiment relates to the principles of calorimetry and the law of conservation of mass-energy.

Now, let's move on to the questions:

1. List any sources of error that could happen while performing this experiment.
Possible sources of error in this experiment could include heat loss to the surroundings, incomplete mixing of ice and water, or inaccurate measurement of volume or temperature.

2. One source of error is the flow of heat between the water in the cup and the surroundings. Explain how this error is reduced by starting with water at about 50°C.
By starting with water at about 50°C, the initial temperature of the water is closer to the final temperature attained after adding the ice. This reduces the temperature difference (∆T) and, consequently, the heat lost to the surroundings. Starting with higher initial temperatures helps to minimize heat loss.

3. In what way does calorimetry make use of the law of conservation of mass-energy?
Calorimetry relies on the principle of the law of conservation of mass-energy, which states that energy cannot be created or destroyed but can only change from one form to another. In the context of calorimetry, the heat lost by one substance undergoing a physical or chemical change will be gained by another substance involved in the same system. By measuring the temperature change of one substance (water) and using appropriate formulas, the heat exchanged between substances can be quantified.

4. Define the following terms:
- Exothermic: An exothermic process or reaction releases heat energy into the surroundings.
- Endothermic: An endothermic process or reaction absorbs heat energy from the surroundings.
- Heat of fusion: The heat of fusion refers to the amount of energy required to change a substance from a solid to a liquid state at its melting point while keeping its temperature constant.
- Heat of vaporization: The heat of vaporization is the amount of energy needed to convert a substance from a liquid to a gas state at its boiling point while maintaining its temperature constant.
- Calorie: A calorie is a unit of energy commonly used in the field of nutrition and represents the amount of energy required to raise the temperature of one gram of water by one degree Celsius.
- calorie: A calorie is a unit of energy, equivalent to 4.184 joules, often used in the context of scientific calculations.
- Joule: A joule is a unit of energy, equivalent to the amount of energy transferred when a force of one newton acts through a distance of one meter in the direction of the force.

5. Is the process of melting exothermic or endothermic? (Claim, Evidence, and Reasoning to support your answer)
The process of melting is endothermic. When a substance changes from a solid to a liquid state, energy is required to break the intermolecular forces holding the particles together. This energy is absorbed from the surroundings, resulting in a decrease in temperature. Therefore, based on the principle that endothermic processes absorb heat energy, melting can be considered an endothermic process.

6. What is the difference between heat and temperature?
Heat refers to the energy transferred between objects or systems due to temperature differences. It is a form of energy. Temperature, on the other hand, is a measure of the average kinetic energy of the particles in a substance. It determines the hotness or coldness of an object or system. In other words, temperature indicates the intensity of thermal energy, while heat represents the transfer of that energy.

Now, let's move on to the problem given in the lab:

Problem: A solid substance with a mass of 200 g is at its melting point temperature in a calorimeter. While the substance changes from a solid to a liquid at the same temperature, the 400-gram mass of water in the calorimeter goes from an initial temperature of 80°C to a final temperature of 30°C. (show all work)

To find the heat lost by the water while the substance melted:
- Calculate the change in temperature of the water (∆T = T_final - T_initial): ∆T = 30°C - 80°C = -50°C (Note: The negative sign indicates a decrease in temperature)
- Use the formula for heat lost (or gained) by a substance: ∆q = mass x Cp x ∆T
- Substitute the values: ∆q = 400 g x 4.184 J/g*°C x -50°C = -83,680 J (Note: Again, the negative sign indicates a loss of heat)
- The water lost 83,680 joules of heat while the substance melted.

To find the heat of fusion of the substance that melted:
- This can be determined by dividing the heat lost by the mass of the substance: Hf = ∆q / mass
- Substitute the values: Hf = -83,680 J / 200 g = -418.4 J/g (Note: The negative sign indicates an exothermic process, releasing heat energy)
- The heat of fusion of the substance is -418.4 J/g.

Remember to include all units and significant figures in your calculations.

I hope this helps! Let me know if you have any further questions.
History
Step-by-step answer
P Answered by Specialist

1. B) Increased confidence in human potential and individual worth encouraged ideas independent of traditional Church teachings.

During the Renaissance, Humanism replaced the strong religiosity of the European Middle Ages. Therefore, in many fields, like arts, politics, and science, the human intellect was boosted to explore and experiment with new ideas that were forbidden under the traditional Church teachings.

2. A) Renaissance thinkers encouraged individuals to question how things work, and scientists began to test these ideas with experiments during the Scientific Revolution.

During the Renaissance, artists and technicians gave great importance to the observation of reality, study of nature, and experimentation. This new way of experiencing reality independent from the bonds of religion and moral sparked the Scientific Revolution. Thanks to this environment, scientists like Galileo, who used a telescope for the first time, Kepler, and Tycho Brahe, made observations of the heavenly bodies that changed completely the way we understood how the universe works.

3. B) Scientists shifted from thinking about the world to trying to understand how it functioned.

During the Middle Ages, natural philosophers accepted without any doubt the theories about how the world works proposed by Aristotle millennia ago. All these theories were based on mere speculation, but the new Renaissance spirit pushed scientists to test these theories and try to understand what they were observing. It was the birth of the scientific method.

4. D) Newton's book argued that mathematical principles could be applied to our understanding of the natural world.

In Mathematical Principles of Natural Philosophy, Sir Isaac Newton argued that Mathematics is the language of nature and, therefore, every action in the natural reality could be understood through mathematical study.

5. B  

He published On the Structure of the Human Body, which became the foundation of modern anatomy.

This book had a great impact on the study of human anatomy and Andreas Vesalius is considered one of the most important figures in medical research of all times due to this work.

6. A) Bacon's proposed use of inductive reasoning encouraged scientists to come to conclusions by way of data collection.

The British philosopher, Francis Bacon, is considered the father of empiricism. He made precise rules for the new experimental scientific method using inductive reasoning, which consisted of collecting individual data, look for patterns, and come to general conclusions or laws.

7. D) He noticed that everything in the natural world had mathematical properties, and they could be used to study and measure everything.

Johannes Kepler, who was a German mathematician, physicist, and astronomer, had a great influence from the Pythagorean school. According to this way of thought, everything could be reduced to numbers and arithmetical proportions and relations. Thus, Kepler restlessly looked for mathematical patterns in the order and motion of heavenly bodies.

8. B) Galileo's observations could prove Copernicus's theories about the order of the universe.

Galileo's observations through the telescope provided empirical proofs for the Copernicus' model, that stated that the Earth moves around the Sun, and not the other way around as the Church said. This was an affront to the authority of the Catholic Church, and for that reason, it wanted to silence Galileo.

9. C) Scientists now gathered information and facts before creating a theory.

Inductive reasoning consists of collecting particular data, look for the patterns that data shares, and come to general conclusions. For example, "John and Peter are men, John and Peter are mortal, therefore all men are mortal", the general conclusion here is "all men are mortal." Deductive reasoning is the opposite, it parts from general or universal law and then it is applied to particular cases. For example, the general law is "all men are mortal", since John and Peter are men, therefore, John and Peter are mortal.

History
Step-by-step answer
P Answered by Master

1. B) Increased confidence in human potential and individual worth encouraged ideas independent of traditional Church teachings.

During the Renaissance, Humanism replaced the strong religiosity of the European Middle Ages. Therefore, in many fields, like arts, politics, and science, the human intellect was boosted to explore and experiment with new ideas that were forbidden under the traditional Church teachings.

2. A) Renaissance thinkers encouraged individuals to question how things work, and scientists began to test these ideas with experiments during the Scientific Revolution.

During the Renaissance, artists and technicians gave great importance to the observation of reality, study of nature, and experimentation. This new way of experiencing reality independent from the bonds of religion and moral sparked the Scientific Revolution. Thanks to this environment, scientists like Galileo, who used a telescope for the first time, Kepler, and Tycho Brahe, made observations of the heavenly bodies that changed completely the way we understood how the universe works.

3. B) Scientists shifted from thinking about the world to trying to understand how it functioned.

During the Middle Ages, natural philosophers accepted without any doubt the theories about how the world works proposed by Aristotle millennia ago. All these theories were based on mere speculation, but the new Renaissance spirit pushed scientists to test these theories and try to understand what they were observing. It was the birth of the scientific method.

4. D) Newton's book argued that mathematical principles could be applied to our understanding of the natural world.

In Mathematical Principles of Natural Philosophy, Sir Isaac Newton argued that Mathematics is the language of nature and, therefore, every action in the natural reality could be understood through mathematical study.

5. B  

He published On the Structure of the Human Body, which became the foundation of modern anatomy.

This book had a great impact on the study of human anatomy and Andreas Vesalius is considered one of the most important figures in medical research of all times due to this work.

6. A) Bacon's proposed use of inductive reasoning encouraged scientists to come to conclusions by way of data collection.

The British philosopher, Francis Bacon, is considered the father of empiricism. He made precise rules for the new experimental scientific method using inductive reasoning, which consisted of collecting individual data, look for patterns, and come to general conclusions or laws.

7. D) He noticed that everything in the natural world had mathematical properties, and they could be used to study and measure everything.

Johannes Kepler, who was a German mathematician, physicist, and astronomer, had a great influence from the Pythagorean school. According to this way of thought, everything could be reduced to numbers and arithmetical proportions and relations. Thus, Kepler restlessly looked for mathematical patterns in the order and motion of heavenly bodies.

8. B) Galileo's observations could prove Copernicus's theories about the order of the universe.

Galileo's observations through the telescope provided empirical proofs for the Copernicus' model, that stated that the Earth moves around the Sun, and not the other way around as the Church said. This was an affront to the authority of the Catholic Church, and for that reason, it wanted to silence Galileo.

9. C) Scientists now gathered information and facts before creating a theory.

Inductive reasoning consists of collecting particular data, look for the patterns that data shares, and come to general conclusions. For example, "John and Peter are men, John and Peter are mortal, therefore all men are mortal", the general conclusion here is "all men are mortal." Deductive reasoning is the opposite, it parts from general or universal law and then it is applied to particular cases. For example, the general law is "all men are mortal", since John and Peter are men, therefore, John and Peter are mortal.

English
Step-by-step answer
P Answered by PhD

The central claim of Benjamin Banneker's letter to Thomas Jefferson is:

C. Because of British oppression, Americans should understand the plight of slaves.

Based on the given excerpt, we can see that Thomas Jefferson got a letter by Benjamin Banneker where he was urged to push for the freedom of slaves and remember their plight.

He made comparisons to their ordeal at the hands of the British to make his case for the slaves and for their freedom and the abolishment of slavery in America.

Therefore, the correct answer is option C

Read more about slavery here:

link

English
Step-by-step answer
P Answered by PhD

The central claim of Benjamin Banneker's letter to Thomas Jefferson is:

C. Because of British oppression, Americans should understand the plight of slaves.

Based on the given excerpt, we can see that Thomas Jefferson got a letter by Benjamin Banneker where he was urged to push for the freedom of slaves and remember their plight.

He made comparisons to their ordeal at the hands of the British to make his case for the slaves and for their freedom and the abolishment of slavery in America.

Therefore, the correct answer is option C

Read more about slavery here:

link

Physics
Step-by-step answer
P Answered by Specialist
Options:
a. a lower frequency and a shorter wavelength.
b. a higher frequency and a longer wavelength.
c. a lower frequency and a longer wavelength.
d. a higher frequency and a shorter wavelength

Answer:
d. a higher frequency and a shorter wavelength

Explanation:
The frequency of a wave is inversely proportional to its wavelength. That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength. Light waves have very, very short wavelengths.
For example, Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation.
Options:
a. a lower frequency and a shorter wavelength.
b. a higher frequency and a longer wavelen

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