A car accelerates uniformly from rest to 28.4 m/s in 8.26 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.55 x 103 N, and (b) the weight of the car is 1.52 x 104 N.

Answers

Answer 1

According to the given statement (a) power in this case will be P=38,933.2428 Watts (b) power in this case will be P=91,788.4599\ W

Step: 1

Average power is defined as the work done per unit time.

Work done can be found by change in kinetic energy.

[tex]W=Kf-Ki\\\\=\frac{1}{2}\mathrm{\ }m(Vf)^2-\frac{1}{2}\mathrm{\ }m(Vi)^2\\\\\Rightarrow\frac{m}{2}\left\{(28.4)^2-(0)^2\right\}\\\\=403.28\mathrm{\ }mJ oules.[/tex]

[tex]P=\frac{W}{t}=\frac{403.28\ m}{6.68}=60.37125mWatts.[/tex]

Explanation: Please refer to solution in this step.

Step: 2

a.) mass of the car will bemass [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.644897\times{10}^3Kg[/tex]

using above equation we can find the power, [tex]P=60.37125\left(0.644897\times{10}^3\right)[/tex]

[tex]=38,933.2428 Watts[/tex]

b.) mass of the car will be [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.152040\times{10}^4Kg[/tex]

using above equation we can find

the power, [tex]P=60.37125\left(0.152040\times{10}^4\right)=91,788.4599 Watts[/tex]

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Related Questions

To tighten a loose screw, a torque of 90 N.m must be applied. A wrench that is 30cm long is used to tighten it. Find the minimum force needed

Answers

The minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

What is force?

Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.

To find the minimum force needed to tighten the loose screw, we can use the equation:

F = T / r

where F is the force, T is the torque (90 N.m in this case), and r is the distance from the center of the screw to the point where the force is applied (the length of the wrench, 30 cm in this case).

We need to convert the length of the wrench from cm to meters before calculating the force:

r = 30 cm / 100 cm/m = 0.3 m

Now we can plug in the values into the equation and find the force:

F = 90 N.m / 0.3 m = 300 N

So the minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

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The primary evidence that our Sun is a third-, fourth-, or fifth-generation star comes from the fact that our ________.

Answers

The fact that our Solar System has too many heavy elements to be first-generation provides the strongest support for the hypothesis that our Sun is a third, fourth, or fifth-generation star.

In astronomy, a star is a brilliant plasma spheroid that is kept together by gravity. The Sun is the planet's closest star. The human eye can see a great number of other stars at night, but due to our planet's size, they seem like stationary points of light. Numerous of the brightest stars were given names, and the most notable stars have been grouped into constellations and asterisms. The known stars have been identified and given standard designations in star catalogs that astronomers have put together. On average, there are 1022–1024 stars in the observable universe. In the Milky Way galaxy, there are just 4,000 of these stars that can be seen with the unaided eye.

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What is the potential energy of a passenger jet weighing 7.0 x 10^5 N when it reaches a cruising altitude of 10.0 km?

Answers

Upon travelling at an altitude of 10.0 km, a passenger aircraft weighing 7.0 x [tex]10^{6}[/tex] N  potential is the energy.

What similarities and differences do kinetic and potential energy share?

Potential energy and kinetic energy are fundamentally different from one another because one is the energy of what can be and the other is the energy of what is. Or to put it another way, potential energy is immobile and ready to be unleashed;

When compared to potential energy, is kinetic energy greater?

Due to the object's motion, kinetic energy loses some energy in the form of light energy, heat energy, and friction; these things do not occur in the potential energy, which is the reason why kinetic energy is not more than the potential energy.

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What measuring device should you use to determine that the internal potential energy of a substance has changed?

Answers

A calorimeter is a device which is used to measure and define the internal energy of a system.

A calorimeter is a device used to measure the heat of chemical processes or physical changes, as well as heat capacity. Among the most frequent varieties are differential scanning calorimeters, isothermal micro calorimeters, titration calorimeters, and accelerated rate calorimeters.

A basic calorimeter is just a thermometer attached to a metal container filled with water that is suspended above a combustion chamber. It is a type of measuring instrument used in the study of thermodynamics, chemistry, and biochemistry.

To calculate the enthalpy change per mole of substance A in a reaction involving two compounds A and B, the substances are individually introduced to a calorimeter and the beginning and final temperatures (before and after the reaction) are recorded.

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How much heat is required to be removed from a 8kg liquid water at 33 °C to be transformed into ice at 0 °C?

Answers

The Total heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C is 13,019 J.

The heat required to be removed from a liquid to transform it into a solid is called the heat of fusion. For water, the heat of fusion is approximately 334 J/g. To calculate the amount of heat required to transform 8 kg of liquid water at 33 °C to the ice at 0 °C, we'll need to take into account both the heat of fusion and the heat required to lower the temperature of the water from 33 °C to 0 °C.

First, we'll calculate the heat required to lower the temperature of the water from 33 °C to 0 °C. This can be calculated using the formula:

Q = mcΔT

where Q is the heat required, m is the mass of the water (8 kg), c is the specific heat capacity of water (4.186 J/g·°C), and ΔT is the change in temperature (3temperature change

Q = (8 kg)(4.186 J/g·°C)(33 °C) = 10,347 J

Next, we'll calculate the heat of fusion by multiplying the heat of fusion of water (334 J/g) by the mass of the water (8 kg).

Q = (334 J/g)(8 kg) = 2672 J

To sum up, the total heat required to transform 8 kg of liquid water at 33 °C to ice at 0 °C, is equal to the heat required to lower the temperature + heat of fusion which is 10,347 J + 2672 J = 13,019 J

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Why is 90 degrees the best angle for maximum height and air time?

Answers

The best angle for maximum height and air time when launching an object is 90 degrees. At 90 degrees, the vertical velocity component is at its maximum, allowing the object to reach the highest point. Additionally, the horizontal velocity component is at its minimum, which means that the object will spend more time in the air.

This is because at 90 degrees, the object is moving straight upward and as gravity acts vertically downwards, the object will reach highest point and stay there for longer time as compare to other angles.

However, it's important to note that 90 degrees is ideal for maximum height, but not for maximum distance traveled. For maximum distance, the optimal angle would be 45 degrees, where the horizontal velocity and vertical velocity are equal, as the object will both travel the farthest and reach the highest point.

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The figure shows a graph of the output from an AC voltage source.
What is the maximum voltage Vmax of the source?
What is the average voltage Vavg of the source?
What is the root-mean-square voltage Vrms of the source?

Answers

From the graph,

Vmax = 3V

Vavg = 2*Vmax/π = 2*3/π = 1.91 V

Vrms = Vmax/√2 = 3/√2 = 2.121 V

Note: The graph that has been considered for theses calculation, is uploaded as an attachment along with the answer.

The sine wave can achieve a maximum value known as VMax for both negative and positive directions. It is VMax for a positive cycle and (-)VMax for a negative cycle.

The average of the instantaneous voltages selected at correctly spaced intervals during the half - cycles of an AC sinusoidal (or other periodic) waveform is the average voltage. The average value is a representation of the area beneath the AC wave form as a function of time.

A sinusoidal origin of electromotive force is described by its root-mean-square (rms) voltage (Vrms), denoted by Vmax/√2.

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30 points!

Which statement accurately describes a similarity all planets share?

They lack enough gravity to clear their orbit of debris.

They orbit the satellites of other planets.

They are very close in comparative densities.

They have sufficient gravity to make themselves round.

Answers

Statement D. They have sufficient gravity to make themselves round accurately describes a similarity between all planets in terms of this movement and the presence of mass to form such a celestial body.

Why do all planets have gravity and orbit around major celestial bodies?

All planets need to have gravity in order to orbit around major celestial bodies, i.e., stars such as in the case of the earth planet or Mars, they orbit around the Sun which is the star of the solar system. The presence of the attractive force of gravity allows planets to move in a cycle across their stars.

Therefore, with this data, we can see that all planets have gravity and orbit around major celestial bodies and thus they can be considered to share the particularity to have a well defined orbit due to the presence of mass.

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I would like to know how to find the distance my fake planet is to its sun and the orbital length in measurement using the information I have gathered so far about my made up DnD planet I have searched a million things up and have gotten myself in a loop hole because in order to get X I need to know B and in order to know B I need to either know X or A and if I use the one using A then A needs X in order to find B to find X.

Heres the information:
Day Duration: 36 hours
Orbit Duration: 1.6 Earth years
Year Duration: 389.3... days
Gravity: 9.608 m/s²
Axial Precession: 15,000 years
Axial Tilt: 21.7 to 23.5
Axial Oscillate: 8333.3... years per 0.1 oscillate of 1.8 oscillation
Number of moons: 3
CLimate regions: much similar to earth Temperate regions are
the magority of the planet with tropical at the equator and
subtropical at the poles with seasons changing at the prevernal,
vernal, estival, serotinal, autumnal, and hibernal periods
Radius: 4578.2 (m)
Planet Mass: 3017387649322753000
Circumference: 28765.6789733

Answers

It is to be noted that based on the information provided, it is not possible to calculate the distance of the planet from its sun as we need more information about orbit and its eccentricity.

What is Space Orbit distance?

The distance of your fictional planet from its sun, and its orbital period, can be calculated using the information you've provided about its day duration, orbit duration, year duration, and radius.

The distance between a planet and its sun is known as an astronomical unit (AU). To calculate the distance in AU, you can use the formula: d = (T² * G * M_sun) / (4 * pπ²)

where T is the planet's orbital period in Earth years, G is the gravitational constant (6.67 x 10^-⁻¹¹ m³ kg^⁻¹ s^⁻²), M_sun is the mass of the sun (2 x 10^30 kg), and pi is the mathematical constant (3.14).To find the orbital period you need to know year duration in seconds and divide it by 365.25 for Earth-based standard.

With that you can calculate the distance of the planet from its sun. The calculation of axial precession, tilt and oscillation etc don't provide information about the distance from its sun or the orbital period, It helps us to understand the planet's rotation around it's axial and the behaviors of the planet's climate because of axial tilt, precession and oscillation

Also, radius, planet mass and circumference also don't provide any information about distance of the planet from its sun or the orbital period as well.

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A soccer ball is moving with a momentum of 5 kg m/s when a soccer player

kicks the ball back in the opposite direction. After the kick, the soccer ball

is moving with a momentum of 7 kg m/s. What is the impulse the soccer

player applied to the soccer ball?

Answers

The impulse applied to the soccer ball by the soccer player is the combined force and time of the kick applied to the ball.

What do you mean by Impulse?

Impulse is an instantaneous force applied to an object, resulting in a change in the object's momentum. It is a vector quantity, which means that it has both magnitude and direction. Impulse is the product of a force applied to an object for a certain period of time. It is calculated as the product of the average force applied multiplied by the time period over which the force is applied. For example, when a ball is hit with a bat, the force of the bat is applied to the ball for a certain amount of time, resulting in an impulse which causes the ball to move.

1. Calculate the change in momentum of the soccer ball:

Change in momentum = Final Momentum - Initial Momentum

                                      = 7 kg m/s - 5 kg m/s

                                      = 2 kg m/s

2. Calculate the impulse:

Impulse = Change in Momentum

             = 2 kg m/s

Therefore, the impulse applied by the soccer player to the soccer ball is 2 kg m/s.

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steroid Ida was photographed by the Galileo spacecraft in 1993, and the photograph revealed that the asteroid has a moon, which has been named Dactyl. From the dimensions of Ida and its general features, one can estimate the mass of Ida to be 4.5 x 10^16 kg, and the distance between Dactyl and Ida is approximately 90 km. Assuming a circular orbit, what would be the orbital speed of Dactyl

Answers

The orbital speed of Dactyl is approximately 0.0173 meters per second.

To calculate the orbital speed of a Dactyl, we can use the formula:

v = √(G * M / r) where:

v is the orbital speed of DactylG is the gravitational constant (6.67 x 10^-11 N*(m^2)/(kg^2))M is the mass of Ida (4.5 x 10^16 kg)r is the distance between Dactyl and Ida (90 km)

So, v = √( (6.67 x 10^-11 N*(m^2)/(kg^2)) * (4.5 x 10^16 kg) / (90 x 10^3 m) )

        = √ ( 2.98 x 10^-5 m/s^2 )

        = 0.0173 m/s

Therefore, the orbital speed of Dactyl is approximately 0.0173 meters per second.

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how to say hi in french

Answers

Explanation:

Bonjour

it is hi or hello you can also say the name after

Example:Bonjour(say the name of the person you want to greet)

Answer:

Bonjour

Explanation:

Its just bonjour, you could always expand and say more then just Hi though.

What 3 things can change a gene pool?

Answers

Natural selection, genetic drift, and gene flow are some of the mechanisms that cause changes in allele frequencies over time.

How it affects:

Over time, a population's gene pool might change due to evolution. This can be brought on by a variety of mechanisms, including mutations, natural selection, and genetic drift. As a result, the gene pool of the population is altered to better meet the needs of its particular environment.

The four main driving forces of evolution are mutation, natural selection, genetic drift, gene flow, and gene flow. New genetic variety is created by mutation in a gene pool. Genetic drift and gene flow alter the allele frequencies in a gene pool.

A population's gene pool can slowly change over time to produce new types of individuals, a process known as microevolution. Microevolutionary processes include changes in a species' size or color as well as bacteria that are no longer hurt by drugs.

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During a magic trick, a magician twirled a ball on a string horizontally at a constant rate. He then doubled the length of the string but maintained the rate at which the ball rotated. Which of the following factors remained constant? A angular velocity B centripetal acceleration с centripetal force

Answers

Correct option is C, Centripetal force remains constant.

Centripetal Force -

Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity.

A net force that keeps an object moving in a circular motion is known as a centripetal force.

Centripetal force has the formula =mv2r. The newton or kgms2 is the measure of force.

A centripetal force is applied to any item travelling in a circle (or along a circular path). In other words, the object is being physically pushed or pulled in the direction of the circle's center. This is the necessary centripetal force.

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Does temperature or mass affect thermal energy more?

Answers

If the temperature doesn't change but the mass of the object increases, the thermal energy in the object increases.

About Thermal energy

Thermal energy, which is referred to as heat energy, is produced when there is an increase in temperature. Due to the increase in temperature, the molecules and atoms will move faster. Thermal energy, which is referred to as thermal energy, is generated when there is an increase in temperature. Due to the increase in temperature, the molecules and atoms will move faster.

In fact, they would collide even more quickly. In other words, heat energy can be thought of as a form of energy, which is produced when a substance in which atoms and molecules vibrate at a faster rate, due to an increase in temperature.

How is Thermal Energy Generated

With that in mind, you need to understand how thermal energy is produced. That's where you need to dive deeper and look at the definition of thermal energy. In the case of matter, atoms and molecules are moving all the time. When the substance is heated, there will be an increase in temperature. It can force particles to move at a faster speed. As a result, you will be able to see how they meet each other. Heat energy can be said to be a form of energy that comes out of a heated substance.

If a substance is hotter, the science of defining heat energy explains how more particles are moving. As a result, you can also get higher heat energy output.

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An experiment with a comb, rabbit fur and paper confeti was conducted. The comb was rubed against the fur and then was put next to paper confeti. The confeti sticks. Then the fur was put next to it. What happened to the fur and confeti?

Answers

Answer:

Static electricity, specifically electrostatic attraction has occurred.

Explanation:

This phenomenon is known as static electricity, which involves the buildup of electric charges on the surface of a material. It can occur when two materials come into contact and then separate, transferring electrons from one material to the other. When you rub the comb against the rabbit fur, you transfer some of the electrons from the fur to the comb, leaving the fur with a positive charge and the comb with a negative charge. This charge separation creates an electric field around the comb and the fur. When you bring the comb and fur near the paper confetti, the negatively charged electrons in the confetti are attracted to the positive charge on the fur and the confetti sticks to the fur. This process is known as electrostatic attraction.

The following nuclei are observed to decay by emitting an α particle: 21284Po and 23994Pu.
Part A
Write out the decay process for 21284Po.
Express your answer as a nuclear equation.
Part B
Determine the energy released in this reaction. Be sure to take into account the mass of the electrons associated with the neutral atoms.
Express your answer using three significant figures.
E = MeV
Part C
Write out the decay process for 23994Pu.
Express your answer as a nuclear equation.
Part D
Determine the energy released in this reaction.
Express your answer using three significant figures.
E = MeV

Answers

The mass of the electrons associated with the neutral atoms must also be taken into account.

Part A

21284Po → 20880Pb + 4He

Part B

E = 13.9 MeV

Part C

23994Pu → 23592U + 4He

Part D

E = 16.2 MeV

For Part A and C, the nuclear equations of the decay process are determined by subtracting the mass number of the products from the mass number of the reactants. The mass number of the reactants is the sum of the mass number of the parent nucleus and 4 for the alpha particle.

For Part B and D, the energy released in the reaction is determined by subtracting the mass of the products from the mass of the reactants and converting to energy using the equation E = mc2. The masses of the reactants and products are found using the atomic masses listed in the periodic table. The mass of the electrons associated with the neutral atoms must also be taken into account.

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a certain mass of neon is in a rigid steel container. the samew mass og helium is added, what happens to pressure

Answers

According to the question, the container's pressure increases but it doesn't double.

This word pressure, what is it?

By dividing the force by the area, pressure is calculated. the use of force to oppose another force. a surface's area divided by a force applied over it. the force that the atmosphere's weight causes to be applied.

What is a good instance of pressure?

Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut surface of the fruit if you press the flat side of a knife against it. A sizable area is affected by the force (low pressure).

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How do you find torque with force and distance?

Answers

Torque =   force x distance from point of rotation

Torque is a measure of the turning effect of an applied force about a specific point or axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. The greater the force or the longer the distance from the point of rotation, the greater the torque. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. Torque is essential in various fields such as physics, mechanics, engineering and robotics.

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Write a complete scientific explanation to account for why the heavier ball caused more flour to spread out

Answers

When a ball moves with faster velocity, then a greater impulse force is Imparted that causes more flour to spread out.

The momentum of a system remains constant unless the system is acted on by an external force in which case the acceleration of center of mass satisfies. The force on a system of particles is the external force because the internal force is zero.

The external force is equal to the change in momentum of the system and is proportional to the acceleration of the center of mass. For a fixed choice of system, if there are no external forces acting on the system then the momentum of the system is constant is constant.

The external force may be zero in one direction but not others. The component of the system momentum is constant in the direction that the external force is zero. The component of system momentum is not constant in a direction in which external force is not zero.

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If your vehicle plunges into deep water, but does not sink immediately, you should escape through a:

Answers

If this situation ever happens, you should always try to escape through an open window first because it is your best option.

How do you classify a vehicle?

There are several ways to categorize automobiles; in North America, trucks and passenger vehicles are separated by rated rating and total interior capacity, respectively (GVWR). In the European Union, vehicle segments employ linear metrics to represent size.

Why are vehicles important?

The private automobile has changed contemporary civilization for more than a century by enabling autonomy and freedom of movement. Due to the growing distances between places like home, work, educational establishments, retail malls, and recreational facilities, mobility has become more and more crucial.

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Two unequal masses are dropped simultaneously from the same height. The two masses will experience the same change in
(A) acceleration
(B) kinetic energy
(C) potential energy
(D) velocity

Answers

When two unequal masses are dropped simultaneously from the same height, then both masses will experience the same change in D: velocity.

Velocity is the prime indicator of the position and the rapidity of the object. It can be described as the distance covered by an object in a unit of time. It means that velocity is the displacement of the object in unit time. When in the case where two objects with unequal masses are dropped simultaneously from the same height, both masses will attain the same change in velocity.

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For the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 1) if no such region exists on the horizontal axis choose the last option (nowhere). View available hint(s)

Answers

The region (A to E) along the horizontal axis where a point exists at which the net electric field is zero is point C.

An electric field refers to the physical field surrounding electrically charged particles which exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. It is defined as the electric force per unit charge. The field direction is taken as the direction of the force it would exert on a positive test charge. The direction of the electric field is always away from the positive charge and towards the negative charge. As seen in the diagram, both positive charges are equidistant from region C, and the strength of charges of the particle is the same in magnitude but opposite in direction, so the net electric field of both charges will be zero in region C.

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20 points!

A student wants to measure the mass of three different rocks.

Which SI unit should the student use?

millimeters

grams

ampere

kelvin

Answers

Answer:

I've never heard of ampere, so it's either grams or ampere.

The student wants to measure the MASS of three rocks. What units would you use?

Millimeters is a unit for length so you wouldn’t use millimeters for mass.

Ampere is the base unit of measure for electrical current so you wouldn’t use that.

Kelvin is a measurement of temperature so you wouldn’t use that.

Thus, the answer is grams. Grams is a unit of measure for mass.

difference between reflection of sound, echo and reverberation

Answers

Reflection of sound is the bouncing of sound waves off a surface. Echo is the repetition of sound due to reflection of sound waves off a surface. Reverberation is the persistence of sound in a particular space after the original sound has stopped.

Hope that helps!

Which of the following most likely explains why Jupiter's interior releases so much heat?
A. Jupiter is gradually contracting in size.
B. tidal heating.
C. heat from radioactive decay.
D. a slow rate of nuclear fusion in Jupiter's core.

Answers

C. heat from radioactive decay.

Jupiter is a large gas giant and does not have a solid surface so the source of its heat is not from contraction or tidal heating.

Heat is generated from the radioactive decay of elements, such as uranium and thorium, in the interior of Jupiter which is the most likely explanation for the release of heat.

The heat released from the interior of Jupiter is believed to be generated from the radioactive decay of elements, such as uranium and thorium. These elements are naturally occurring, and their decay releases energy in the form of particles and radiation. This process produces the heat that is released from Jupiter's interior, which is why it is much hotter than the surrounding environment. The heat is also responsible for the hot spot that can be seen in Jupiter's atmosphere. It is estimated that the interior of Jupiter releases up to two and a half times more heat than it receives from the Sun. This process of radioactive decay is the most likely explanation for the release of such a large amount of heat from Jupiter's interior.

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Fossils of the same life form species have been found on continents that are now divided by oceans. In one to two sentences, explain how this could be possible if a supercontinent did not exist. Explain Simply. Pls hurry

Answers

Answer:

This could be possible if the continents were once connected and then separated by plate tectonics, allowing the same species to spread across the land before it was divided by oceans.

Explanation:

This isn't a Physics question, do check your category before posting next time

Roughly what percentage of matter in the universe is identical to the type of matter that comprises the planets and stars

Answers

Approximately 27% of everything in the universe is dark matter, with dark energy making up 68%. This means that all the visible matter we can see, including galaxies, stars and planets, only represents 5% of everything that exists.

What is the matter of the universe?

The matter of the universe is a complex and ongoing question that scientists are still working to answer. Generally, it is believed that the universe is composed of dark matter, dark energy, and ordinary matter.

Dark energy is thought to be the energy that is causing the universe to expand, while dark matter is an unseen form of matter that is believed to make up about 27% of the universe. Ordinary matter is the form of matter that makes up:

starsplanetsgalaxies

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Explain why the speed of a competitor changes during the race. [4 marks]
AQA combined science physics paper 1 2022

Answers

The reason that  speed of a competitor changes during the race is that

Physical conditionTerrainWeatherStrategyTacticsInjury

What is the race about?

The speed of a competitor during a race can change for a variety of reasons. Some of the most common include the following:

Physical condition: A competitor's physical condition can change during a race, leading to a change in their speed. For example, a runner may start off strong but tire as the race progresses, causing their speed to decrease.

Terrain: The terrain of the race can also have an impact on a competitor's speed. Running uphill, for example, typically requires more effort and can slow a competitor down, while running downhill can allow them to pick up speed.

Weather: Weather conditions can also affect a competitor's speed during a race. Running in hot, humid conditions, for example, can make it more difficult for a competitor to maintain a high level of performance.

Strategy: Competing athlete has a strategy to maintain a sustainable pace which he could not change that often, it could lead to either decrease or increase in speed.

Tactics: Athletes may also adjust their tactics during a race in response to the competition. For example, a runner may slow down to conserve energy in the early stages of a race in order to have a stronger finish.

Injury: Sometimes, an injury can happen during a race and it can force the athletes to adjust their speed to adapt.

In all, the speed of a competitor during a race can change for a variety of reasons related to their physical condition, the terrain, weather, strategy, tactics and injury.

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Acar drives 150 km east from city A to B in 45 minutes and then 300 km south from city B to C in 1,5 hours. What is the average velocity vector for the trip?

Answers

The required average velocity vector for the trip is calculated to be 100 i + 200 j and its magnitude is 223.6 km/h.

The displacement due east is taken as 150 i.

The displacement due south is taken as 300 j.

The net displacement is given as, 150 i + 300 j.

Magnitude of net displacement = √(150² + 300²) = √112500 = 335.41 km

We get the average velocity by dividing the displacement vector by total time.

v avg = (150 i + 300 j)/1.5 = 100 i + 200 j

Magnitude of net velocity = √(100² + 200²) = √(10000 + 40000) = 223.6 km/h

Thus, the average velocity vector is 100 i + 200 j.

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