2. Explanation of nouns (10 marks each, 30 marks in total) 1. Newton's law. (There are 3 of them. Write both definition and related equation) 2. Elastic collisions and Inelastic collision. (Write both

Answers

Answer 1

1. Newton's laws of motion are fundamental principles that describe the behavior of objects in motion. They were formulated by Sir Isaac Newton in the late 17th century and have had a profound impact on our understanding of physics.

2. Both momentum and kinetic energy are conserved in an elastic collision.

Momentum is conserved in an inelastic collision, but kinetic energy is not. The objects stick together or deform upon impact.

Newton's Laws of Motion:

a) Newton's First Law (Law of Inertia):

According to Newton's first law, unless acted upon by an external force, an object at rest will remain at rest and an object in motion will continue travelling at a constant velocity.

Equation: F = 0 (if the net force acting on an object is zero, its acceleration will be zero)

b) Newton's Second Law (Law of Acceleration):

According to Newton's second law, an object's mass has an inverse relationship to its acceleration, which is directly proportional to the net force acting on it.

Equation: F = ma (where F represents the net force, m is the mass of the object, and a is the acceleration produced)

c) Third Law of Newton (Law of Action and Reaction):

According to Newton's third law, every action has an equal and opposite response.

Equation: F₁ = -F₂ (the force exerted by object 1 on object 2 is equal in magnitude but opposite in direction to the force exerted by object 2 on object 1)

Elastic Collisions and Inelastic Collisions:

a) Elastic Collision:

In an elastic collision, two objects collide and bounce off each other, conserving both momentum and kinetic energy. This means that the total kinetic energy before and after the collision remains the same.

b) Inelastic Collision:

In an inelastic collision, two objects collide and stick together, or deform upon impact, resulting in a loss of kinetic energy. Momentum is still conserved in an inelastic collision, but the total kinetic energy before and after the collision is not conserved.

In an inelastic collision between two objects of masses m₁ and m₂, with initial velocities u₁ and u₂ respectively, the final velocity v can be calculated using the equation:

v = (m₁u₁ + m₂u₂)/(m₁ + m₂)

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Related Questions

Question 2 (1 point)
This graph shows an object in free fall. Assume there is no air resistance. What is the only force acting on this object?

Question 2 (1 point)This graph shows an object in free fall. Assume there is no air resistance. What

Answers

Answer:

Actually, there is  no force (felt by the object) acting on the object.

It is similar to an  object in orbit around the earth (weightlessness)

F = M a    describes the motion of the particle where

M a = M g    where the acceleration of the particle is equal to the force of gravity acting on the particle

From an external view the only force acting on the particle is M g and it produces an acceleration of M g

There is no force felt by the freely falling body. The cause of free fall is gravitational pull. Where Acceleration is equal to the gravitational acceleration. According to Newton's Law of Gravitation , two bodies attract each other due to their masses and separation , since earth is a very big body therefore the lit body falls towards the earth . Thus the graph plotted is a straight line.

What is Newton's law of Gravitation?

"The force acting between two bodies is directly proportional to product of masses and inversely proportional to the square of the separation ."

F= G.{m_{1} . m_{2} }/r^{2}.

Hence the only force by which the object is falling is gravitational pull.

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which would be a better predictor of increase in force of contraction, change in semg amplitude of spikes or change in semg frequency of spikes?

Answers

The better predictor of increase in force of contraction, change in semg amplitude of spikes.

What is force?

A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given that in the question the  better predictor of increase in force of contraction, change in semg amplitude of spikes or change in semg frequency of spikes.

The better predictor of increase in force of contraction, change in semg amplitude of spikes.

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he noisy estabrook stifling team recently adopted a law to reduce the allowed sound level from leaf blowers from the current level of 96 db to 68 db. part description answer save status a. what is the ratio of the new allowed intensity to the previously allowed intensity?

Answers

The ratio of the newly allowed intensity to the previously allowed intensity is 3.1623 x 10⁻³.

Banks says a leaf blower makes 64 to 78 decibels at 50 feet. To the operator's ear, the noise is 95-115 decibels. According to Dangerous Decibels, a public-private partnership aimed at reducing hearing loss, typical speech is around 60 decibels, washing machines 75 decibels, and chainsaws 115 decibels.

Performance that fits your needs. Setting the motor to a low speed makes less noise. According to the American Green Zone Alliance, an organization dedicated to zero-emission landscaping, the average fan produces about 65 dB of noise. Compare this to the average noise level of a traditional gas backpack blower.

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A proton and an electron in a hydrogen atom are separated on the average by about 4.8x10-11 m. what is the magnitude and direction of the electric field set up by the proton at the position of the electron?

Answers

A proton and an electron in a hydrogen atom are separated on the average by about 4.8x10-11 m. The magnitude and direction of the electric field set up by the proton at the position of the electron is (E)=  6.24×10¹¹ N/C.

What is electric field?

The electric field is a field that is created by any positive or negative charge. In an atom the electron or proton that creates a field that called the electric field.

How can we calculate the electric field?

To calculate the electric field we are using the formula here ,

E= k(q/r²)

Where we are given,

k= The Coulomb's constant . = 8.99 ×10⁹ N.m²/C²

q= The charge of the electron. = 1.6×10⁻¹⁹ C

r= The distance of separation of atom. = 4.8×10⁻¹¹ m.

We have to calculate the electric field of the atom. = E

Now we put the values we get,

E= k(q/r²)

Or, E=  8.99 ×10⁹×(1.6×10⁻¹⁹/(4.8×10⁻¹¹)²)

Or, E=  6.24×10¹¹ N/C

Now we can say that, The magnitude and direction of the electric field set up by the proton at the position of the electron is (E)=  6.24×10¹¹ N/C.

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A car can go from 20 m/s to 0 m/s in 5 second using 7,000N worth of force. How much mass does the car have?

Answers

Answer: a lot of MASS

Explanation:

which physical method of controlling microbial growth applies pressure to water to create steam?

Answers

The physical method of controlling microbial growth that applies pressure to water to create steam is called "autoclaving" or "sterilization by autoclave."

Autoclaving is a widely used method for sterilization in various industries, including healthcare, laboratories, and food processing. It involves subjecting materials or objects to high-pressure saturated steam at elevated temperatures. The combination of pressure and heat effectively kills microorganisms, including bacteria, viruses, fungi, and spores.

Autoclaves consist of a sealed chamber that can withstand high pressures, along with a source of heat and a means to generate steam. The process involves placing the items to be sterilized inside the autoclave chamber and then raising the temperature and pressure to the desired levels. The high-pressure steam penetrates the materials and destroys the microorganisms present, ensuring effective sterilization.

The typical conditions for autoclaving include temperatures ranging from 121 to 134 degrees Celsius (250 to 273 degrees Fahrenheit) and pressures between 15 and 30 pounds per square inch (psi). These conditions are maintained for a specified period, usually around 15 to 30 minutes, depending on the size and nature of the items being sterilized.

Autoclaving is advantageous because it provides a reliable and efficient method for achieving sterility. It can be used to sterilize a wide range of materials, including laboratory glassware, surgical instruments, medical equipment, media and solutions, textiles, and more. The high temperatures and pressure ensure thorough sterilization, and the process is relatively quick compared to other methods.

However, it is important to note that not all materials can be autoclaved, as some may be sensitive to heat or moisture. Additionally, certain biological substances, such as certain types of infectious waste or toxins, may require specialized treatment beyond autoclaving.

Overall, autoclaving is a highly effective method for controlling microbial growth by applying pressure to water to create steam. Its widespread use in various industries is a testament to its reliability and efficiency in achieving sterilization.

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simple question..

Is speed the same as velocity?​

Answers

Answer: no

Explanation: speed = rate of change of distance; distance/time

                     velocity = rate of change of displacement; displacement/time

No speed is not the same thing as velocity

What are some things to be wary of with hemoconcentrators?

Answers

By being wary of these factors and following the recommended guidelines, you can ensure the safe and effective use of hemoconcentrators in medical procedures.

When using hemoconcentrators, it's essential to be cautious and consider a few factors to ensure their safe and effective use. Some things to be wary of with hemoconcentrators include:
1. Compatibility: Make sure the hemoconcentrator is compatible with your specific application and equipment to avoid any malfunctions or complications during the procedure.
2. Clotting risks: Hemoconcentrators can sometimes lead to increased blood clotting risks. Ensure appropriate anticoagulation measures are in place during the procedure to minimize this risk.
3. Flow rate: Be mindful of the blood flow rate through the hemoconcentrator. Exceeding the recommended flow rate could lead to hemolysis or other complications.
4. Sterility: Maintain a sterile environment and follow proper handling procedures to prevent contamination, which could potentially lead to infection.
5. Monitoring: Closely monitor the patient's vital signs, blood pressure, and fluid balance during the procedure to promptly identify and address any adverse reactions or complications.

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a 1489 kg car is traveling down the road at 95.4 km/h. while traveling at this rate of speed, what is the kinetic energy of this vehicle in kilojoules

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The kinetic energy of the car is calculated using the formula KE = (1/2)mv^2. By plugging in the mass of the car (1489 kg) and the speed (95.4 km/h), we can calculate the kinetic energy in kilojoules.

The kinetic energy of a 1489 kg car traveling at a speed of 95.4 km/h can be calculated using the formula for kinetic energy, which is given by the equation KE = (1/2)mv^2. By converting the speed from km/h to m/s, the kinetic energy can be determined in joules and then converted to kilojoules.

First, we need to convert the speed from km/h to m/s. We know that 1 km/h is equal to 0.2778 m/s. Therefore, the speed of the car in m/s is 95.4 km/h * 0.2778 m/s = 26.5 m/s.

Next, we can plug the values into the formula for kinetic energy: KE = (1/2)mv^2. Using the given mass of the car (1489 kg) and the calculated speed (26.5 m/s), we have KE = (1/2) * 1489 kg * (26.5 m/s)^2.

Calculating this expression gives us the kinetic energy of the car in joules. To convert it to kilojoules, we divide the result by 1000. The final answer will be in kilojoules, representing the amount of energy possessed by the car due to its motion.

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In the simulation, start with m1 = 200 kg and m, = 400 kg with their centers 8 meters apart. If you want to increase in the gravitational force between the two masses by the greatest amount, should you double the mass of m, or should you halve the distance sentences, explain which option would create the greater increase in the gravitational force and why. (2 points)

Answers

To double the gravitational force between the two blocks, double the mass of the blocks and keep the distance between constant.

The given parameters;

mass of the first block, m₁ = 200 kgmass of the second block, = 400 kgcenter mass of the blocks, r = 8 m

The gravitational force between the two mass is calculated by applying Newton's law of universal gravitation as follows;

\(F = \frac{Gm_1 m_2}{r^2}\)

The magnitude of the gravitational force increases with increase in the mass of the blocks and decreases with increase in the distance between the blocks.

To double the gravitational force between the blocks, double the mass of the blocks;

\(F = \frac{G(2m_1)(2m_2)}{r^2} \\\\F = 2 \times \frac{Gm_1 m_2}{r^2}\)

Thus, to double the gravitational force between the two blocks, double the mass of the blocks and keep the distance between constant.

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1. In a discussion, outline elaboratively 5 of the 10 major external forces that affect organizations: economic, social, cultural, demographic, environmental, political, governmental, legal, technological, and competitive. (You may choose any 5 ) 2. I want you to tell me CONVINCINGLY, the importance of gathering competitive intelligence. 3. In business we are aware that economic factors have tremendous impacts in the various strategy applications. Name a few economic variables that we need to monitor. 4. Social, cultural, demographic, and environmental changes have a major impact on virtually all products, services, markets, and customers, that's a given, in your own opinionated words why is this so. 5. List 5 key external factors of your choice including both opportunities and threats you believe affect the firm and its industry. List the opportunities first and then the threats. 6. Explain your opinion on how to prioritize and determine a firm's internal weaknesses and strengths. 7. What do you understand about financial ratio analysis, what is it, and why is it so important in business. 8. A major responsibility of strategists is to ensure development of an effective external audit system. Why do you think this is so? Explain your opinion in this.

Answers

1. Five major external forces that affect organizations are economic, social, cultural, demographic, and technological. Economic factors such as inflation and interest rates can impact a company's profitability and purchasing power. Social factors like changing consumer preferences and lifestyles can influence demand for products and services.

Cultural factors like values and beliefs can shape consumer behavior and market trends. Demographic factors such as population size and age distribution can affect target markets.

Technological factors like advancements in automation or digitalization can disrupt industries and create new opportunities. These external forces shape the business environment and organizations must monitor and adapt to them to stay competitive.

2. Gathering competitive intelligence is crucial for businesses because it provides valuable insights about their competitors' strategies, strengths, weaknesses, and market position.

By understanding the competitive landscape, businesses can identify opportunities and threats, make informed decisions, and develop effective strategies.

Competitive intelligence helps businesses stay ahead of their competitors, anticipate market trends, identify emerging technologies, and improve their own products or services. It allows businesses to benchmark their performance, evaluate their competitive advantage, and identify areas for improvement.

Ultimately, gathering competitive intelligence empowers businesses to make proactive and strategic decisions that can lead to sustainable growth and competitive advantage.

3. In business, various economic variables need to be monitored as they have significant impacts on strategy applications. Some important economic variables include GDP (Gross Domestic Product), inflation rate, exchange rates, interest rates, consumer spending, unemployment rate, and industry-specific factors like raw material prices or energy costs.

Monitoring these variables helps businesses understand the overall economic conditions, identify market opportunities, and assess potential risks. For example, a high inflation rate may impact pricing strategies, while a favorable exchange rate can benefit export-oriented businesses.

By monitoring economic variables, businesses can adapt their strategies accordingly and make informed decisions to navigate the dynamic business environment.

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How do you increase the amount of electrical energy produced from running water?

Answers

Answer:

To increase the volume of moving water, impoundments or dams are used to collect the water. An opening in the dam uses gravity to drop water down a pipe called a penstock. The moving water causes the turbine to spin, which causes magnets inside a generator to rotate and create electricity.

Explanation:

Hope this helped, Have a Great Day!!

To increase the volume of moving water, impoundments or dams are used to collect the water. An opening in the dam uses gravity to drop water down a pipe called a penstock. The moving water causes the turbine to spin, which causes magnets inside a generator to rotate and create electricity.

Please answer fast!!!
which of the following is an example of unbalanced force?
1. A chair leaning on a wall
2. A stroller being pushed
3. A ball on the grass
4. A book sitting on a table

Answers

Answer:1. A chair leaning on a wall

Explanation:

3 A ball on the grass


Use the picture to answer the question.
Name at least three physical properties of the bowling
ball.
1

Answers

Answer:

I need the picture to amswer the question thay's why it says " "

Superkid, finally fed up with Superbully's obnoxious behaviour, hurls a 1.35 kg stone at him at 0.501 of the speed of light. How much kinetic energy do Superkid's super arm muscles give the stone

Answers

Answer:

See below

Explanation:

A lot !

KE = 1/2 m v^2

    = 1/2 * 1.35 * ( .501 * 3 * 10^8)^2 =

    1.5248 x 10^16 j

kinetic energy do Superkid's super arm muscles give the stone is 62.6 × 10⁶ J.

What is kinetic energy ?

Kinetic energy is the energy associated with a motion of a body. When a body is in motion having mass m then it has kinetic energy. Kinetic energy is denoted by K or T. it is expressed in joules. Kinetic energy is given by,

K = 1/2 mv²

Hence an object having zero mass or zero velocity have zero kinetic energy.

In this problem the stone is moving with velocity which is comparable with the speed of light, hence we have to find relativistic kinetic energy.

The relativistic kinetic energy is given by,

\(K = m_{0} c^2(\frac{1}{\sqrt{1-\frac{v^2}{c^2}} } -1)\)

putting all the values in the equation

\(K = 1.35*3*10^8(\frac{1}{\sqrt{1-\frac{(0.5c)^2}{c^2} } }-1 )\)

K = 62.6 × 10⁶ J

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the wavelength of the sound wave of 15 hz, frequency is 0.0022 m. what is its speed?​

Answers

Answer:

0.033 m/s

Explanation:

The speed of the wave given only it's frequency and wavelength can be found by using the formula

\(c = f \times \lambda\)

where

c is the velocity of the wave in m/s

\( \lambda\) is the wavelength in m

f is the frequency in Hz

From the question we have

c = 15 × 0.0022 = 0.033

We have the final answer as

0.033 m/s

Hope this helps you

Transpiration is the same as evaporation.
True
Or
False
?

Answers

I’m pretty sure that it’s true. Hope this helps

Answer:

False

Explanation:

Transpiration is a form of Evaporation, but it only applies to plants whereas evaporation can apply to all liquids.

Moving from the element with atomic number 10 to atomic number 11 on the periodic table, there is a change in reactivity. Which of the following are true? You MUST select ALL correct answers to earn full credit for this question.

reactivity increases
reactivity decreases
neon has another shell (energy level, orbit), meaning the atom will be larger
sodium has another shell (energy level, orbit), meaning the atom will be larger
valence electrons in sodium are farther from the nucleus
atomic number 11 does not have a full electron shell.

Answers

Moving from the element with atomic number 10 to atomic number 11 on the periodic table changes observed are :

Reactivity increases,

Sodium has more shell,

Valence electrons in sodium are farther from the nucleus,

Atomic number 11 does not have a full electron shell

Atomic number in periodic table :

In increasing order of atomic number, the elements are listed. The amount of protons in an atom's nucleus is indicated by its atomic number. An element's identity is determined by its proton count. The number of protons determines an element's identity.

What is relativistic effect in periodic table?

The indirect relativistic effect amplifies the decreases in the binding energies of the valence d and f electrons as they move down the periodic table. As a result, the d electrons in the heavier coinage metals become more chemically active, leading to higher oxidation states in these elements.

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A) Millions of years of rain and wind
B) Millions of years of high pressure and temperatures
C) Processing in a factory
D) Millions of years of erosion

A) Millions of years of rain and wind B) Millions of years of high pressure and temperaturesC) Processing

Answers

Answer:

B. Millions of years of high pressure and temperature.

Millions of years of high pressure and temperature the ancient forests turn into fossil fuels.

Explanation:

Fossil fuels were formed from the dead remains of living organisms millions of years ago. They were formed under high pressure and high temperature.

Coal : about 300 million years ago the earth had this forest in low lying wetland areas. Due to natural processes like flooding, these forest god buried under the soil. As more soil deposited over them, they were compressed. Under high pressure and high temperature, dead plants got slowly converted into coal. Petroleum : Petroleum was formed from organisms living in the sea. As these organisms died, their bodies settled at the bottom of the sea and got covered with layers of soil and clay. Over millions of years, absence of air, high pressure and high temperature transformed the dead organisms into Petroleum.

Coal, Petroleum and natural gas are fossil fuels.

What is the wave velocity if the wave length is 100 cm and the frequency is 2 Hz?​

Answers

Answer:

velocity = 2m/s

using v=fΠ

convert 100 CM to m

Answer:

200 cm per second

Explanation:

The equation for wave velocity=wavelength x frequency, since the wavelength is 100 and the frequency is two, the equation would be 100 x 2, which equals 200. Therefore, the correct answer is 200 cm per second.

If two identical airplanes are loaded such that one has the CG at the forward limit, and the other has the CG at the aft limit:

Group of answer choices

The airplane with the CG at the forward limit will go faster

The airplane with the CG at the aft limit will go faster

CG will not affect speed

The airplane with the CG at the forward limit is more likely to stall during the takeoff roll

Answers

If two identical airplanes are loaded such that one has the CG at the forward limit, and the other then the correct answer is: CG will not affect speed.

The position of the center of gravity (CG) affects the stability and control of an airplane, but it does not directly affect its speed. The speed of an airplane is determined by factors such as engine power, aerodynamic design, and external conditions (e.g., wind). The position of the CG primarily influences the longitudinal stability of the aircraft and its tendency to pitch up or down.

Therefore, the speed of the airplanes, in this case, would not be affected by the position of the CG. The airplane with the CG at the forward or aft limit may have different stability characteristics, but their speeds would not be inherently different due to CG placement alone.

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How long should you make a simple pendulum so its period is 200. ms? How long should you make a simple pendulum so its period is 5.0 s? Express your answer using two significant figures. How long should you make a simple pendulum so its period is 2.0 min? Express your answer using two significant figures.

Answers

The period T of a basic pendulum is given by the equation:

T = 2π √(L/g)

where L is the length of the pendulum

and g is the increasing speed due to gravity.

To discover the length of the pendulum for a given period T, ready to improve the condition as:

L = (g T²)/(4π²)

where we substitute the esteem of g = 9.81 m/s².

a) For T = 200 ms = 0.2 s:

L = (9.81 m/s²)(0.2 s)² / (4π²) = 0.25 m

So the length of the pendulum ought to be 0.25 m for a period of 200 ms.

b) For T = 5.0 s:

L = (9.81 m/s²)(5.0 s)² / (4π²) = 61 m

So the length of the pendulum ought to be 61 m for a period of 5.0 s.

c) For T = 2.0 min = 120 s:

L = (9.81 m/s²)(120 s)² / (4π²) = 1790 m

So the length of the pendulum ought to be 1790 m for a period of 2.0 min. 

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A mass M1=6kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass M2=6.8kg which hangs freely from the string. When released, the hanging mass falls a distance d=.9m.1) How much work is done by the normal force on M1?2) What is the final speed of the two blocks?3) How much work is done by tension on M1?4) What is the tension in the string as the block falls?5) The work done by tension on only M2 is? a) positive b) zero, c) negative.6) What is the NET work done on M2?

A mass M1=6kg rests on a frictionless table and connected by a massless string over a massless pulley

Answers

Given data:

* The mass on the frictionless table is,

\(m_1=6\text{ kg}\)

* The mass hangs freely from the string is,

\(m_2=6.8\text{ kg}\)

* The hanging mass falls a distance is,

\(d=0.9\text{ m}\)

Solution:

(1). The normal force of mass on the frictionless table is,

\(\begin{gathered} F_N=m_1g \\ F_N=6\times9.8 \\ F_N=58.8\text{ N} \end{gathered}\)

As the displacement of the mass m_1 on the frictionless table is in the hroizontal direction.

Thus, the work done by teh normal force is,

\(W=F_Nd\cos (\theta)\)\(\text{where }\theta\text{ is the angle between the normal force and dispalcement}\)

As both the normal force and displacement are perpendicuular to each other.

Thus, the work done by the nromal force on the mass m_1 is,

\(\begin{gathered} W=F_Nd\cos (90^{\circ}) \\ W=0 \end{gathered}\)

Thus, the work done by the normal force on m_1 is zero.

how far does an object move in 1 second

Answers

It accelerates at about 32 feet per second every second, so it starts falling at zero feet per second and, one second later it is traveling at 32 feet per second. That means that its average speed is 16 feet per second, so it will fall 16 feet in the first second.

n on A Schering bridge can be used for the: Select one: O a. protecting the circuit from temperature rises b. measuring currents O c. measuring voltages d. testing capacitors Clear my choice

Answers

The Schering bridge is mainly used for measuring capacitors. The correct option among the given options is option 'd' - testing capacitors.The Schering bridge is a form of bridge that was first created in 1918 by the German engineer.

This bridge can be used to evaluate the capacitance of an unknown capacitor with high accuracy. This bridge operates on the same basic principle as the Wheatstone bridge, which is used to calculate resistances. The key distinction is that the Schering bridge can handle capacitive impedance.

A capacitor is a passive electrical component that stores energy in an electric field. Capacitors are used to store electric charge, filter noise from power supplies, and act as timers. Capacitors come in a range of sizes and are used in everything from radios to medical devices.

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Light travels at a speed if 186,000 miles per second. A light-year is the distance that light travels in one year. What is the distance of a light year (in miles)?

Answers

Answer:

5,865,696,000,000 miles

Explanation:

one year = 31536000 second

31536000 × 186000 = 5,865,696,000,000

Q 27.19:
If the rate of internal energy dissipation in a battery is 1 watt, and the current produced by the battery is 0.5 amps, what is the internal resistance of the battery?
A :
4 ohms
B :
1.5 ohms
C :
0.5 ohms
D :
2 ohms

Answers

The internal resistance of the battery is 4 Ω.Option A is the correct answer.

The rate of internal energy dissipation in a battery is 1 watt, and the current produced by the battery is 0.5 amps.Energy is defined as the ability to do work.

When current flows through an electric circuit, it produces energy. The energy produced per unit time is referred to as power. Power is the rate at which work is done or energy is produced in a circuit.

It is given that the internal energy dissipation rate in a battery is 1 watt, which means the energy dissipated per second in the battery is 1 watt.

The internal energy dissipation rate can also be expressed as the product of the square of the current produced by the battery and the internal resistance of the battery.

So, Energy dissipation rate = Current^2 * Internal resistanceTherefore, Internal resistance = Energy dissipation rate / Current^2 = 1 W / (0.5 A)^2 = 4 Ω

Hence, the internal resistance of the battery is 4 Ω.Option A is the correct answer.

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A light beam with a 70° angle of incidence travels through a medium with an index of refraction of 1.8. The light enters a second medium and has an angle of refraction of 37°. What is the index of refraction of the second medium?

Answers

Answer:

Explanation:

For refraction , the formula is

sin i / sin r = μ₂ / μ₁

where light is travelling from medium 1 to 2 having refractive index of μ₁ and μ₂ . Angle of incidence in medium 1 is i and angle of refraction in medium 2 is r .

Here i = 70°, r = 37°

μ₁ = 1.8 ,μ₂ = ?

sin70 / sin 37 = μ₂ / 1.8

.939 / .602 = μ₂ / 1.8

1.56 =  μ₂ / 1.8

μ₂ = 2.81 .

The value of refraction index for the second medium will be  \(\mu_2=2.16\)

What will be the refractive index?

Every material has a different refractive index. The refracted index of any material shows that the light is refracted by how much angle.

So like for water its value will be different also for glass its value will be different.

Now it is given in the question that

Angle of incidence \(i=70^o\)

Refractive index of the first medium \(\mu_1=1.8\)

Angle of refraction \(r=37^o\)

Now from snells law

\(\dfrac{Sin \ i}{Sin \ r} = \dfrac{\mu_2}{\mu_1}\)

\(\dfrac{Sin70}{Sin37} = \dfrac{\mu_2}{1.8}\)

\(\mu_2= \dfrac{Sin70\times1.8}{Sin37}\)

\(\mu_2=2.16\)

Thus the value of the refraction index for the second medium will be  \(\mu_2=2.16\)

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2. It is weigh-in time for the local under-85-kg rugby team. The bathroom scale used to assess eligibility can be described by Hooke’s law and is depressed 0.75 cm by its maximum load of 120 kg. (a) What is the spring’s effective spring constant? (b) A player stands on the scales and depresses it by 0.48 cm. Is he eligible to play on this under-85 kg team?

Please include all of your steps.

Answers

Weight=mg=120(9.8)=1176N

Apply hooke's law

\(\\ \rm\rightarrowtail F=kx\)

\(\\ \rm\rightarrowtail 1176=k(0.0075)\)

\(\\ \rm\rightarrowtail k=156800N/m\)

#b

We need mass again

\(\\ \rm\rightarrowtail F=kx\)

\(\\ \rm\rightarrowtail mg=kx\)

\(\\ \rm\rightarrowtail 9.8m=156800(0.0048)\)

\(\\ \rm\rightarrowtail 9.8m=752.64\)

\(\\ \rm\rightarrowtail m=76.8kg\)

He is e eligible

If the strength of the magnetic field at a is 27 units and the strength of the magnetic field at b is 3 units, what is the distance to b?.

Answers

It is 15 meters from point A to point B. The measure of magnetic field strength is the tesla.

The portion of a material's magnetic field that results from an external current and is not intrinsic to the material itself is known as the magnetic field strength, also known as magnetic intensity or magnetic field intensity. It is measured in amperes per meter and represented as the vector H.

H is defined by the formula H = B/ M, where B is the magnetic flux density, which measures the real magnetic field present in a material as a concentration of magnetic field lines, or flux, per unit cross-sectional area; is the magnetic permeability; and M is the magnetization.

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The complete question is

If the strength of the magnetic field at A is 27 units and the strength of the magnetic field at B is 3 units, what is the distance to B?

a) 10 m

b) 225 m

c) 15 m

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