How do you find the speed of an object traveling in a circular path if you know its radius and the time it
takes to complete one lap?

Answers

Answer 1

Answer:

Objects moving in circles possess a speed which is equal to the distance travelled per time of travel. By multiplying the rotational frequency with the circumference, we can determine the average speed of the object.


Related Questions

the pulsar in the center of the crab nebula (shown in the figure) is the remnant of a supernova that occurred in a.d. 1054. the current power output of this pulsar is pcrab

Answers

The approximate factor by which the power output of this supernova has declined since its explosion is 2 * 10⁻¹⁰

Rate of power output's decline = Current power output / Initial power output

Current power output = 10²⁸ W

Initial power output = 5 * 10³⁷ W

Rate = 10²⁸ / 5 * 10³⁷

Rate = 2 * 10⁻¹⁰

To convert this rate into a percentage value, multiply this value by 100.

Rate = 2 * 10⁻¹⁰ * 100%

Rate = 2 * 10⁻⁸ %

Therefore, the rate of decline is 2 * 10⁻¹⁰

The given question is incomplete. The complete question is:

The pulsar in the center of the crab nebula (shown in the figure) is the remnant of a supernova that occurred in AD 1054. the current power output of this pulsar is 10²⁸ W and initially the supernova has a power output of 5 * 10³⁷. Calculate the approximate factor by which the power output of this astronomical object has declined since its explosion.

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according to this graph, the minimum size of an object that could cause a mass extinction is a little less than _____.

Answers

According to this graph, an object that would cause a mass extinction would need to be at least 10 km is diameter.

What is object and example?

Any word (or pronoun) that forms the subject of a verb or preposition is referred to as an object. There are three categories of items: Straight Thing (e.g., I know him.) Unrelated Item (e.g., Give her the prize.) Prepositional Object (e.g., Sit with them.)

What is object a sentence?

An expression's subject. The subject's verb's action upon a person, place, or thing is typically called the object. As you might expect, looking for the pronoun or the noun that follows the verb is the quickest approach to identify the subject in a simple sentence.

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Check all items that are a function of cerebrospinal fluid. a. Production of cranial glial cells b. Provides bouyancy to the brain c. Protects the brain from sudden movements d. Controls the chemical environment surrounding the brairn

Answers

The functions of cerebrospinal fluid includes provides buoyancy to the brain , protects the brain from sudden movements and  controls the chemical environment surrounding the brain.

What is cerebrospinal fluid?

The brain's ventricles, as well as the subarachnoid spaces of the cranium and spine, are site to the ultrafiltrate of plasma known as cerebrospinal fluid (CSF).  It carries out crucial duties such as supplying the brain with food, removing waste, and protecting it.

CSF helps the brain by offering defense, nutrition, and waste elimination. Through two ways, CSF protects the neuroaxis hydromechanically. As a stress absorber, CSF first cushions the brain against the skull..

Maintaining the interstitial fluid of the brain's homeostasis is another role of CSF. Normal neuronal function requires a steady environment for the brain parenchyma.

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Electron configuration always starts with the lowest energy electrons. Responses.

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Electrons always try to enter the lowest energy orbital. An electron can occupy an orbital by itself, but before it can occupy a higher energy orbital, it will occupy a lower energy orbital with another electron.

The ground state configuration is the lowest energy configuration the ground state electron configuration influences the behavior of atoms and leads to the elemental structure of the periodic table. The symbols used to describe the electron configuration begin with the shell number followed by the orbital type.

In atoms, electrons fill orbitals in order of increasing energy. The principal quantum number determines the energy level of an orbital. Orbitals with small values ​​of n usually have low energy and are filled first. The arrangement of electrons in an atom is called electron configuration and is filled with electrons.

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Are these statements about the Fluid mechanics true?
Statement 1: Fluid mechanics is a branch in chemistry that involves study of fluids.
Statement 2: Fluid mechanics can be divided into 2 major categories.
a) True, False
b) True, True
c) False, True
d) False, False

Answers

Announcement 1: Fluid mechanics is a branch of chemistry that involves having a look at fluids:  c) False, True

Fluid mechanics is the branch of physics concerned with the mechanics of fluids and the forces on them. It has programs in an extensive variety of disciplines, such as mechanical, aerospace, civil, chemical, and biomedical engineering, geophysics, oceanography, meteorology, astrophysics, and biology. Fluid mechanics is the look at of the forces of the fluid and the way fluids flow. Fluid mechanics may be divided into parts: fluid statics and fluid dynamics. Fluid statics is the observation of fluids at rest, and fluid dynamics is the study of fluids in motion.

Fluid mechanics is the look at fluid behavior (beverages, gases, blood, and plasmas) at relaxation and in movement. Fluid mechanics has a huge variety of packages in mechanical and chemical engineering, organic structures, and in astrophysics.

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If you use the relativistic velocity-addition formula to add everyday velocities, you will get
A) nonsense.
B) a significantly better result than if you add them classically.
C) a result almost identical to the classical result.

Answers

If you use the relativistic velocity-addition formula to add everyday velocities, you will get  a significantly better result than if you add them classically.

We limit our consideration of velocity addition to one-dimensional motion for the sake of simplicity. In one-dimensional motion, speeds typically add up like regular numbers.

Consider a situation where a girl is traveling in a sled at a speed of 1 m/s in relation to an observer. She launches a snowball at a speed of 1.5 m/s in relation to the sled, first forward and then back.  

Assume that v is the sled's velocity in relation to the Earth, u is the snowball's velocity in relation to the observer who is on the ground, and u' is the snowball's velocity in relation to the sled.

Case 1 -

As a result, u=1.0 m/s+1.5 m/s=2.5 m/s when the girl launches the snowball forward. Because the snowball is thrown forward from a moving vehicle, it makes perfect intuitive sense that it will move closer to the observer on Earth.

Case 2-

u=1.0 m/s -1.5 m/s=-0.5 m/s is the velocity at which the girl is throwing the snowball backward. The snowball is moving away from the observer on Earth when there is a minus sign.

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which of the following lists two ways that transcranial magnetic stimulation is similar to electroconvulsive therapy?

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Transcranial magnetic stimulation is similar to ECT in that "both are effective in alleviating depression and no one knows why".

Transcranial magnetic stimulation (rTMS) refers to a drug that treats a type of brain stimulation treatment used to treat sadness and nervousness. It has been being used since 1985. The treatment includes utilizing a magnet to target and fortify certain regions of the brain.

Doctors recommend taking no less than one round of medicine(drug) antidepressants before investigating the likelihood of rTMS. Antidepressants and psychotherapy might be utilized in mix with rTMS.

Therefore, they are similar to each other as these drugs are usually give a suggestion that brain stimulation is effective when treating severe forms of depression. These methods are usually used after other methods have been tried and failed. They involve the stimulation of the brain.

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the unique challenge for (fill the blank) markets is that they must develop flexible, customized solutions that meet the specific needs of, for example, different sized churches or school districts.

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The unique challenge for Institutional markets is that they must develop flexible, customized solutions that meet the specific needs of, for example, different-sized churches or school districts.

What are institutional markets?

Institutional markets can be defined as markets located inside government institution facilities such as buildings or universities, which are aimed at providing products and services to people who work and or study in these locations.

Therefore, with this data, we can see that institutional markets are located inside government facilities and gives services or products to workers and or students who make their activities.

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the solid dot shown in the figure below is a pivot point. the board can rotate about the pivot.

Answers

The torque due to perpendicular force will be greatest.

Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.The unit of torque is Newton–meter (N-m) A simple way to calculate the magnitude of the torque is to first determine the lever arm and then multiply it times the applied force.It is a vector product hence torque also must be a vector. Using vector product notations we can find the direction of torque.

We know that Torque = mass * velocity * sinα

where α = angle between mass and velocity.

For maximum torque, sinα = 1 ; i.e. α = 90°.

So the torque due to perpendicular force will be greatest.

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A bowling ball that weighs 70 N is dropped from a tower 15 meters above the ground. Disregarding air friction, what is the KE of the ball when it reaches the ground? What is the ball’s velocity the moment before it hits the ground?

Answers

The kinetic energy of the bowling ball of weight 70 N is 1050 J, and the velocity of the ball the moment before it hits the ground is 17.15 m/s.

What is kinetic energy?

This is the energy of a body in motion.

To calculate the kinetic energy of the ball when it hits the ground, we use the formula below.

Formula:

Since there is no loss due to friction,

Kinetic energy = Potential energyK.E = Wh.............. Equation 1

Where,

K.E = Kinetic energyW = Weight of the ballh = Height of the tower

From the question,

Given:

W = 70 Nh = 15 m

Substitute into equation 1

K.E = 70×15K.E = 1050 J

Also,

To calculate the velocity before the ball hit the ground, we use the formula below.

v = √(2gh)......... Equation 2

Where:

g = Acceleration due to gravity = 9.8 m/s²v = Velocity of the ball before hitting the ground.

Substitute into equation 2

v = √(2×15×9.8)v = √294v = 17.15 m/s

Hence, the kinetic energy and the velocity of the ball before hitting the ground is 1050 J and 17.15 m/s respectively.

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the normal component of the magnetic flux density remains continuous across the boundary between two magnetic media

Answers

Across the border, the normal component of the flux density is constant. The strength of the tangential field is the second boundary condition, which is B1n = B2n.

Magnetic flux is it constant?

Conclusion. In a continuous loop perpendicular to the motion of the electric dipoles in the magnetic material, the magnetic flux is constant and happens. Due to the conductor's constant area and varying magnetic field, the magnetic flux may change.

What is the boundary condition for E across the media interface?

There could be a surface charge density at the boundary between two materials. The normal components of the electric field are discontinuous and equal to the surface charge density at the boundary between any two dielectrics, while the tangential components are continuous.

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Indicate whether the given transfusion is compatible or not compatible. AB+ given to O A+ given to O- B- given to AB+ O-given to O+ o- given to A+ AB- given to B- AB- given to A+ AB-given to O+ B+ given to A+ Compatible Not Compatible

Answers

Following transfusions are compatible:

1) O- given to A+

2) B- given to AB+

3) O- given to O+

Following transfusions are not compatible:

1) A+ given to O-

2) AB- given to A+

3) AB+ given to O-

4) O+ given to AB-

5) AB- given to O+

6) AB- given to B-

7) B+ given to A+

8) A+ given to AB-

What does the term "transfusion" mean?

A procedure whereby whole blood or isolated blood components are injected into a patient's vein and then into their bloodstream. Blood can either be donated by another person or taken from a patient and kept in storage until it is needed. known also as transfusion. Enlarge. blood donation. Blood transfusions are done for many reasons, including surgery, injury, illness, and bleeding disorders.

Blood is made up of several components, including:

Red blood cells carry oxygen and help remove waste productsWhite blood cells help your body fight infectionsPlasma is the liquid part of bloodPlatelets help blood clot properly

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Gas a and gas b (both unreactive) are allowed to mix. The total pressure is found to be 3. 50 atm. If gas b was measured initially at 1. 25 atm, what is the partial pressure of gas a?.

Answers

If the entire quantity of the beginning material alone were to be occupied at the same temperature, the partial pressure inside a gas mixture would be the hypothetical pressure of that constituent gas. Gas an is under 2.25 atm of partial pressure.

By pressure, what do you mean?

The perpendicular force per unit area, also known as the stress at a point within a confined fluid, is referred to as pressure in the physical sciences.

The purpose of pressure measurement

The manufacturing process in many different sectors depends heavily on gauging a substance's pressure. To assess the product's consistency and quality, it's critical to collect precise data that has meaning. These factors make having precise sensors essential for gathering this data.

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How does the force that causes the water to leave the rocket compare to the force that causes the rocket to launch?.

Answers

The force that causes the water to exit the rocket is equivalent but opposite in direction to the force that causes the rocket to launch.

What is the significance of force?

Force can cause a still body to move. It has the ability to either stop or slow a moving body. It has the ability to increase the speed of a moving body. It can also affect the shape and size of a moving body as well as its direction. A force exerted on an object causes it to change shape or size, begin or stop moving, accelerate or decelerate. When two things contact, they exert a force on one other; these exerted forces are equal in size but opposite in direction. The strong force is thought to be nature's most powerful force. The electromagnetic, weak, and gravitational forces follow in declining sequence.

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Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 5.10 m away from the slits.
Which laser has its first maximum closer to the central maximum?
Ans: laser 1
What is the distance Image for Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas las between the first maxima (on the same side of the central maximum) of the two patterns?

Answers

The difference between two slits is 0.09m

It can be seen that the separation between two consecutive interference maxima is constant and independent of the order observed.

Considering that the small angle approximation is valid then we have to

                              y1 = (1* 5.10m* d/20) / d

                                y1 = 0.25

                               y2 = (1*5.10m*d/15) / d

                               y2 = 0.34

Therefore, the first order maximum produced by laser 1 is closer to the central maximum than that the 1st order maximum produced by laser 2.

Using a previous result y2 - y1

                                     0.34 - 0.25 = 0.09m

In the young's experiment the angular position of intensity maxima and minima of interference is determined by the separation between the slits, an integer number known as order of interference, and the wavelength of the light used.

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a block is released from rest at point p and slides along the frictionless track shown. at point q, its speed is:

Answers

Without any friction (= the force that makes it difficult for an object to slide across or move through something):

Is an air track frictionless?Regardless of any internal changes that may occur, including energy dissipating in one form and reappearing in another, the total energy of an isolated system remains constant.A friction drive belt, as implied by its name, is a track that is tensioned to smooth rubber wheels much like a conveyor belt. The tractive force generated for propulsion is the friction between the drive wheels and the roller path of the track.happening very easily without anything to make it slower or more difficult: We need completely frictionless trade, without tariffs or border checks. The application offers frictionless downloading and sharing.An air track is a scientific device used to study motion in a low friction environment. Its name comes from its structure: air is pumped through a hollow track with fine holes all along the track that allows specially fitted air track cars to glide relatively friction-free.

Block is released from point p

Track is frictionless

height travels from p to q

(h1-h2 )

(optional energy ) p =Q ( kinetic energy)

mg( h1 - h2) = 1/2mv^2

2g(h1-h2) = v^2

###

(√2g ( h1-h2 ) = v )

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For a galvanic cell, the cathode has a sign and is the site of negative; oxidation negative; reduction positive, oxidation positive, reduction

Answers

The cathode has a positive sign and is the site of reduction.

What exactly is a cathode?

The term cathode refers to a polarized electrical device that regulates electric current. The cathode needs electrons to provide current, it progressively accumulates mass from the cations it draws.

How does the cathode perform?

The positive ions go towards the cathode and the negative ions flow towards the anode when an electric current is passed through a cell containing an electrolyte. The circuit will not be complete if the cathode is removed from the solution, which will cause the ions to travel aimlessly since they lack direction. Due to the reversal of the electron flow in a power-generating device, the cathode is the positive terminal. When the battery's energy is being used in devices like galvanic cells, they become non-rechargeable.

Hence, the cathode undergoes reduction with a positive sign.

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a student in an electronics lab is studying the electrical properties of pieces of graphite

Answers

A cylindrical bit of graphite with a radius of 0.7 mm is subjected to a potential differential of 24 V along its length by the student.

What use does graphite serve?

Pencils, lubricants, crucibles, casting facings, polishes, arc lights, batteries, electric motor brushes, and nuclear reactor cores all include graphite. China, India, Brazil, N.korea, and Canada all mine large amounts of it. Graphite was inadvertently created for the first time by Edward G.

What is distinctive about graphite?

It is special in that it possesses traits common to both metals and non-metals, including flexibility without being elastic, high thermal and electrical conductivity, high refractoriness, and chemical inertness. Due to its low X-ray and neutron absorption, graphite is a particularly useful material.

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What is the upper block's acceleration if the coefficient of kinetic friction between the block and the table is 0. 21?.

Answers

The block's speed at t = 2 seconds. At the surface, the kinetic friction coefficient is mk = 0.2.

What is the block's and the table's coefficient of kinetic friction?

The sliding block and table experience kinetic friction with a coefficient of k = 0.2.

What is the block's acceleration?

No blocks move, hence acceleration is equal to 0 (as stated in the preceding post). Any Laws of Motion issue can be resolved by using: - Problem-solving patterns.

What is the box's and the floor's coefficient of kinetic friction?

The crate and floor have a static friction coefficient of 0.700 and a kinetic friction coefficient of 0.600. The crate receives a horizontal force P P applied to it.

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a. What are the defects of simple cell?​

Answers

Defects of simple voltaic cell:
Polarization: When a simple cell is in use it is found that the current quickly falls to a very small value.
Local action: If the zinc used in the simple cell is of the impure commercial variety bubbles of hydrogen will be seen coming off the zinc

Which of the following statements about spectral types of stars is true?
All of the above are true.

Answers

The spectral type of a star can be used to determine its color and A star with spectral type A is cooler than a star with spectral type B.

What is an example of a spectrum?

A spectrum can be naturally represented by a rainbow. Optical researchers were the first to adopt the term spectrum. They understood by the word the spectrum of colors visible light displays when split by a prism. The spectrum that is created when light passes through a prism serves as an example of how light disperses.

What is a spectrum's quantum?

A photon of luminous energy is released when an electron switches from a better energy (higher angular momentum) orbit to a reduced energy orbit. The frequency of the photon, v, is associated with energy difference, E, by the formula v=E/h.

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The complete question is -

Which of the following statements about spectral types of stars is true?

A) The spectral type of a star can be used to determine its surface temperature.

B) The spectral type of a star can be used to determine its color.

C) A star with spectral type F2 is hotter than a star with spectral type F3.

D) A star with spectral type A is cooler than a star with spectral type B.

E) All of the above are true.

what does a frequency of recombination of 50 indicate

Answers

A frequency of recombination of 50% indicates that the genes are independently assorting.

Describe the gene?

A gene is known as the basic physical and functional unit of heredity. Genes are made up of DNA. Some genes act as instructions to make molecules called proteins. However, many genes do not code for proteins. In humans, it is known that genes vary in size from a few hundred DNA bases to more than 2 million bases.

A frequency of recombination of 50% indicates that the genes are independently assorting which means that the  inheritance of alleles at the two loci are independent. If the recombination frequency is less than 50% we say the two loci are linked.

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(c) complete the table to represent the relationship between volume and surface area of a spherical structure surrounded by a membrane.

Answers

The table represents the relationship between the volume and surface area of a spherical structure surrounded by a membrane just remember that the ratio is 1:3 and 1:1.

The surface area to volume ratio of an object is the ratio of the two measurements. The ratio of surface area to volume. Shows a comparison of the outer size and inner volume of an object. A small, thin object has a large surface area compared to its volume.

Increasing the surface area of ​​a cell increases the amount of material that diffuses into the cell. As volume and surface area increase, volume increases more rapidly, so for every doubling of cell volume, the surface area available for uptake is halved. The amount of surface area per unit volume of an object or collection of objects.

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saturation occurs when

Answers

Saturation occurs when air contains the maximum amount of water vapor possible for its given temperature.

What is saturation?

Saturation in meteorology is a state of the atmosphere when it is saturated with water vapour i.e. 100% humidity.

Also, in chemistry, saturation is a characteristics of a solution containing all the solute that can normally be dissolved at a given temperature.

Condensation and evaporation occur simultaneously , but at some point, the air becomes saturated, meaning the rate of evaporation is the same as the rate of condensation.

In other words, the air cannot hold any more water vapor at that temperature and pressure, so if any liquid water molecules become water vapor, the same amount of water vapor must condense and return to a liquid.

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What is the gravitational force between two trucks, each with a mass of 20000 kg, that are 2. 0 m apart?.

Answers

The gravitational force between two trucks, each with a mass of 20000 kg, that are 2.0 m apart is 6.67 * 10⁻³ N

F = G m1 m2 / r²

F = Gravitational force of attraction

G = Gravitational constant

m1, m2 = Masses

r = Distance between both masses

G = 6.67 * 10⁻¹¹ N m² / kg²

m1 = 20000 kg

m2 = 20000 kg

r = 2 m

F = G m1 m2 / r²

F = 6.67 * 10⁻¹¹ * 20000 * 20000 / 2²

F = 6.67 * 4 * 10⁻³ / 4

F = 6.67 * 10⁻³ N

F = 6.67 m N

Therefore, the gravitational force between two trucks is 6.67 m N

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shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwoods machine. One block has mass m1 "1.30kg;the other has mass m2 " 2.80kg.What are (a) the magnitude of the blocks acceleration and (b) the tension in the cord?

Answers

The block's acceleration is 3.585 m/s^2, while the cord tension is 17.4 N. depicts two blocks attached by a cord (of minimal mass) that crosses a frictionless pulley.

A block weighs 1.30 kg per m1.

A 2 m2 block weighs 2.8 kg.

Block-block system acceleration = a

T is equal to the cord's tension.

The acceleration of block 1 in our coordinate systems is equal to the acceleration of block 2 in our coordinate systems. So, using a common acceleration, we can express them. These are the motion equations:

T = m1*g - m1*a and M2*g - T

We obtain the equation of motion for the entire system by combining the two equations.

(m1+m2)

*a = m2*g-m1*g

The acceleration is given by the equation a = (m2-m1)*g/(m1+m2), a = (2.8-1.3)9.8/(1.3+2.8), and a = 3.585 m/s2.

T = m1*(a+g) T = 1.3(3.585+9.8) T = 17.4 N is the outcome after plugging it into block 1's equation of motion.

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how is einstein's famous equation, e = mc2, important in understanding the sun?

Answers

The correct answer is option D) the Sun generates energy to shine by losing 4 million tonnes of mass each second.

What is sun ?

The Sun, a 4.5 billion year old yellow dwarf star and the centre of our solar system, is a hot, glowing ball of hydrogen and helium. It's about 93 million miles (150 million kilometers) from Earth and it's our solar system's only star. The sun is not a solid mass. It does not have easily identifiable boundaries like rocky planets like Earth. Instead, the sun is composed of layers made up almost entirely of hydrogen and helium.

It explains the fact that the Sun generates energy to shine by losing some 4 million tonnes of mass each second. The "lost" 4 million tonnes is turned to an amount of energy equal to this mass times the speed of light squared.In order to produce the energy we see it produce, the Sun needs to fuse 4 × 1038 protons into helium-4 per second. The upshot of that fusion is that 596 million tonnes of helium-4 are formed with each second that passes, while 4 million tonnes of mass are turned into pure energy via E = mc2.

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After taking a hot shower, James steps out of the shower onto the tile floor. The tile felt cold to his feet. Which explanation below best describes James' experience?A.Heat from his feet is transferred to the tile floorB.Heat from the tile floor is transferred to his feetC.Cold from the tile floor is transferred to his feetD.Cold from his feet is transferred to the tile floor

Answers

The tile felt by James through his feet is due to the phenomenon on conduction. A) The heat from his feet gets transferred to the cooler tile.

When two objects are touching, and the objects each have a different temperature, then there is a transfer of energy from the hotter to the cooler one. You experience conduction throughout your day. For example, conduction explains why a tile floor feels cold on your feet (the energy from your warm foot is being transferred to the cooler tile floor) or an item taken from a freezer feels cold in your hands (the energy from your warm hand is flowing toward the item you took from the freezer).

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The voltage across a 10 ohm resistor carrying 5 Amps of current is a. 10 Volts b. 5 Volts c. 1 Volt d. 50 Volts

Answers

The voltage of the resistor of resistance 10 ohms is 50 V. The correct option is d. 50 Volts.

What is voltage?

Voltage describes the “pressure” that pushes electricity.

To calculate the voltage of the resistor, we use the formula below.

Formula:

V = IR............... Equation 1

Where:

V = VoltageI = CurrentR = Resistance

From the question,

Given:

I = 5 AR = 10 ohm

Substitute these values into equation 1

V = 5×10V = 50 V

Hence, the voltage of the resistor is 50 V. Correct option d. 50 volts.

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a horizontal object-spring system oscillates with an amplitude of 2.8 cm. if the spring constant is 270 n/m and object has a mass of 0.50 kg, determine each of the following values.

Answers

A) Total energy is: Em = 0.1058 J ; B) Maximum speed is: v = 0.650 m / ;  C) Maximum acceleration is: a = 15.1 m / s².

What is simple harmonic motion?

An oscillatory movement where the restoring force is proportional to the displacement is called as the simple harmonic motion.

Given amplitude, A = 2.8 cm = 2.8 10⁻² m

Given spring constant(k) = 270 N / m

m = 0.50 kg

As we know, x = A cos (wt + Ф)

w² = k / m

x is displacement, A is amplitude w is angular velocity, t is time, Ф --phase constant, k -- spring constant and m -- mass.

A) Mechanical energy is given as

 Em = ½ k A²

 Em = ½ 275 (2.8 10⁻²) ²

Em = 0.1058 J

B) V= dx/dt = - Aw sin ( wt + fi)

To obtain maximum velocity, sine function must be ±1

 Vmax = w A

w = √ 270/0.5

 w = 23.23 rad / s

Vmax = 23.23 *2.8 * 10⁻²

 = 0.650 m / s

C) a = dv/dt  = - A w² cos (wt + fi)

For maximum value, cosine function must be maximum, that is ±1    

a = A w²

a = 2.8 10⁻²*  23.23²

a = 15.1 m / s²

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