When it comes to our place in the solar system today, which model do we accept?

a) heliocentric
b) Ptolemaic
c) geocentric
d) Aristotelean

Answers

Answer 1

The solar system consists of the Sun and all the other objects that orbit around it. It includes the eight planets and their moons, dwarf planets, asteroids, comets, and other celestial bodies. When it comes to our place in the solar system today, we accept the heliocentric model of the solar system.

The heliocentric model is based on the idea that the Sun is at the center of the solar system, and the planets orbit around it. This model was first proposed by the ancient Greek astronomer Aristarchus of Samos around 270 BCE. However, it was not widely accepted until the 16th century when the Polish astronomer Nicolaus Copernicus refined it and published it in his book "On the Revolutions of the Celestial Spheres" in 1543.

It is based on the idea that the Earth is at the center of the solar system, and the planets move in small circles called epicycles, which are carried around the Earth in larger circles called deferents. This model was widely accepted in the Middle Ages but was later replaced by the heliocentric model. In conclusion, we accept the heliocentric model of the solar system today.

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Answer 2
Final answer:

Today, we accept the heliocentric model that places the sun at the center of the solar system, with all planets orbiting around it. This model replaced the older geocentric models supported by Aristotelian and Ptolemaic cosmology.

Explanation:

The model we accept today regarding our place in the solar system is the heliocentric model. This model, which positions the sun at the center of the solar system, with all planets including earth, orbiting around it, was championed by individuals such as Nicolaus Copernicus and later affirmed by Johannes Kepler and Galileo Galilei. The heliocentric model replaced older models such as the geocentric (Earth-centered) model, which was supported by both Aristotelian and Ptolemaic cosmology. These older models were eventually disproven due to inaccuracies and inconsistencies, cementing our acceptance of the heliocentric model.

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Related Questions

A ball has 200 J of potential energy when it is on a shelf. Explain what happens to the potential energy and the kinetic energy as the ball falls, and find the amount of kinetic energy the ball has at the instant it hits the floor.

Answers

Answer:

0

Explanation:

Potential energy of the body is converted to kinectic enery as it falls thus the formula massx gravity x height at the instant it hits the ground the height is 0 putting this into the equation the potential energy is 0 since the potential energy is converted to kinectic energy potential energy is equal to kinectic energy then the kinectic energy at the instant it hits the ground is 0

As the ball falls, its potential energy starts to change into kinetic energy. When the ball hits the floor, its kinetic energy will be 200J.

What is energy?

A body's capacity for work is measured in terms of energy. It cannot be produced or eliminated. There are numerous types of energy, including thermal, electrical, fusion, electrical, and nuclear. Energy has the ability to change its forms.

Given parameters:

Potential energy of the ball when it is on a shelf, V = 200 J.

When the ball starts to fall, its potential energy due to gravity starts converting into kinetic energy. And as much the ball goes down, its kinetic energy will increase and potential energy will decrease.

At the instant the ball hits the floor, its potential energy due to gravity becomes zero and totally converted to kinetic energy.

Hence, the amount of kinetic energy the ball has at the instant it hits the floor is 200 J.

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A military aircraft accelerates from rest for 4.24 seconds to take off of an aircraft carrier along a 77.7-m runway. Determine the take-off speed of the plane.

Answers

The take-off speed of the plane as it accelerate from rest is 36.65 m/s.

What is speed?

Speed can be defined as the ratio of distance to time.

To calculate the the take-off speed of the plane, we use the formula below.

Formula:

S = (u+v)t/2........ Equation 1

Make v the subject of the equation

v = (2S/t)-u......... Equation 2

Where:

S = Distancev =  take-off Speedt = timeu = Initial speed

From the question,

Given:

S = 77.7 mt = 4.24 secondsu = 0 m/s (From rest)

Substitute these values into equation 1

v = (2×77.7)/(4.24)v = 36.65 m/s

Hence the take off speed of the plane is 36.65 m/s.

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Two 0.55-kg basketballs, each with a radius of 19 cm , are just touching. You may want to review (Pages 399 - 401) . Part A How much energy is required to change the separation between the centers of the basketballs to 1.4 m ? (Ignore any other gravitational interactions.)

Answers

Answer:

      ΔU = - 9,179 10-11 J

Explanation:

For this exercise the two basketballs are linked by gravitational interaction, so we can use gravitational energy

               U = - G m₁m₂ / R

In this case the mass is equal and the initial distance is r₁ = 19 cm = 0.19 m

               U₁ = - G m² / r₁

let's calculate

              U₁ = - 6.67 10⁻¹¹ 0.55² / 0.19

              U₁ = - 10,619 10⁻¹¹ J

when its centers are separated it is at r₂ = 1.4 m

              U₂ = - 6.67 10⁻¹¹ 0.55² / 1.4

              U₂ = - 1.44 10-11 J

the energy between these two points is

          ΔU = U₂ - U₁

          ΔU = (-1.44 +10.619) 10-11

          ΔU = - 9,179 10-11 J

A bike rider was moving to the right at a constant speed. Suddenly the wind then starts blowing against her with 3 N of force to the left. What is happening the moment the wind starts blowing? A. The bike rider will start to speed up B. The bike rider will continue at a constant speed C. The bike rider instantly start moving will get blown back to the left. D. The bike rider will begin to slow down

Answers

Answer:

The correct option is D

Explanation:

This question can be better understood when discussed using the Newton's first law of motion which states that an object would continue to move with a uniform speed (in a straight line) unless acted upon by an external force. What happens here (in the question) is that the bike rider would have continued moving at a constant speed (to the right) if not for the opposing force of the wind that acted against her (to the left). This wind/force would cause her speed to reduce or slow down (as posited by the law).

Rainfall from a slow-moving thunderstorm was over 5 inches. This storm led to
the erosion of about 0.2 mm of soil from a field. Express this soil loss in Mg ha-1 (Ton/ha) if the bulk density
of the soil is 1.01 Mg m-3.

Please show your work!
a. 0.202 Mg/ha
b. 2.02 Mg/ha
c. 20.2 Mg/ha

Answers

The soil loss in  \(Mg ha^{-1}\) (Ton/ha) if the bulk density of the soil is 1.01  \(Mg m^{-3}\)  is option a. 0.202 Mg/ha.

For expressing the soil loss in \(Mg ha^{-1}\), need to convert the units appropriately. First, convert the soil loss from millimetres (mm) to meters (m) by dividing it by 1,000 (1 mm = 0.001 m). Thus, the soil loss is 0.0002 m.

Next, calculate the volume of soil lost per unit area (ha). The volume can be obtained by multiplying the soil loss (0.0002 m) by the area (ha). Since the bulk density of the soil is given as 1.01 \(Mg m^{-3}\), can convert the volume to mass by multiplying it by the bulk density.

Using the formula:

Soil loss (Mg ha-1) = Soil loss (m) × Bulk density (\(Mg m^{-3}\)) × Area (ha)

Substituting the values:

Soil loss (\(Mg ha-1\)) = 0.0002 m × 1.01 \(Mg m^{-3}\) × 1 ha

Calculating the result:

Soil loss (\(Mg ha-1\)) = 0.0002 × 1.01 = 0.000202 \(Mg ha-1\)

Therefore, the correct answer is option a. 0.202 Mg/ha.

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what are two properties that lead to electromagnetic interactions? pls help I'm so confused and cant find the answer anywhere!!

Answers

Answer:

Electric charge. A fundamental property that leads to the electromagnetic interactions among particles that make up matter.

Who was Alfred Wegner and what was his claim about continental drift?

Answers

Answer:

Wegener was a German meteorologist, geophysicist and polar researcher. In 1915 he published 'The Origin of Continents and Oceans', which outlined his theory of Continental Drift. Wegener was a member of four expeditions to Greenland.

Explanation:

hope it helps

Alfred Wegner is a German weather scientist. His claim about the continental drift was that the continents were moving. He had 4 evidence to support his claim

Which gas is least likely to obey the ideal gas laws at very high pressures and very low temperatures?

Answers

Answer:

Xe

Explanation:

At low temperatures or high pressures, real gases deviate significantly from ideal gas behavior. It is also good to know that ideal gas law assumes that the gas molecules have negligible/no size.

Keeping that in mind, Xe is the largest of the bunch, and therefore is expected to have the greatest deviation of the ideal gas when under high pressure or low temperature.

Hope this helped

thermal energy is added to 4 identical samples of water.what increases in each example

Answers

I’m pretty sure the tempature starts to rise in each sample.

during volleyball practice a volleyball is tossed over a net, starting from a height of 1.5 meters above the ground. after reaching the top of its trajectory it returns to its original height as it falls. how does the motion of the ball at the top of its trajectory compare to its motion as it passes its original height?

Answers

When a volleyball is tossed over a net, starting from a height of 1.5 meters above the ground, where  after reaching the top of its trajectory it returns to its original height as it falls, the ball's speed is the same as when it was tossed, but its velocity is different.

As ball 1 gets to the top of its trajectory, its velocity becomes zero.

since not stated otherwise, we assume that both balls have the same properties

If ball 2 is released at this instance, then they both will travel down at the same time interval and have initial velocity as zero.

since vertical travel is downwards, then acceleration due to gravity g is positive for both balls.

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A 60 litre steel gasoline tank is full of gas, so that both the tank and the gasoline
have a temperature of 15 °C. The amount of gasoline has been spilled by the time
they warm up to 35 °C will be:
(A) 50.2 litre
(B) 1.10 litre
(D) None
(C) 3.26 litre

Answers

Answer:

To solve this problem, we need to use the coefficient of thermal expansion for gasoline, which tells us how much the volume of gasoline will increase as its temperature increases. The coefficient of thermal expansion for gasoline is approximately 950 x 10^-6 /°C.

Using this information, we can calculate the increase in volume of gasoline as it warms up from 15°C to 35°C:

ΔV = V * α * ΔT

where V is the initial volume of gasoline (60 L), α is the coefficient of thermal expansion for gasoline (950 x 10^-6 /°C), and ΔT is the change in temperature (20°C).

ΔV = 60 * 950 x 10^-6 * 20

ΔV = 0.114 L

Therefore, the amount of gasoline spilled as it warms up from 15°C to 35°C is:

60 L - 0.114 L = 59.886 L

Explanation:

So the answer is (A) 50.2 litre.

A 6kg object is lifted to a height of 10m. How much PE does it have?

Answers

Answer:

588 J

Explanation:

P.E = mgh

      = 6 * 9.8 * 10

     = 588 J

if g value is rounded and taken as 10 then answer is 600 J.

The steeper the slope of a line, the _______ the object was moving

Answers

Answer:

"Faster" is most likely the answer, I'm not 100% sure though

The steeper the slope of a line, the greater the object was moving

exaggerated feelings of self-importance are most closely linked with

Answers

Exaggerated feelings of self-importance are most closely linked with narcissism. Narcissism is a personality trait characterized by an inflated sense of self-worth, an excessive need for admiration, and a lack of empathy towards others.

Individuals with narcissistic traits often believe they are superior to others, crave attention and validation, and have a grandiose self-image.

They may engage in self-promotion, seek constant admiration, and exploit others for personal gain. Narcissism is associated with a sense of entitlement, a tendency to manipulate and exploit others, and a lack of empathy or concern for the well-being of others.

While a certain level of self-confidence and self-esteem is healthy, excessive narcissism can negatively impact relationships, lead to interpersonal conflicts, and hinder personal growth and development.

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the tension in a long string is 25.0 n . you oscillate one end of the string up and down with frequency 45.0 hz . when this end is at its maximum upward displacement, the nearest point that is at its maximum negative displacement is 0.400 m down the string. what is the speed of waves on the string?what is the linear mass density of the string?

Answers

Explanation:

The given data is as follows.

      Length (l) = 2.4 m

      Frequency (f) = 567 Hz

Formula to calculate the speed of a transverse wave is as follows.

                 f =

Putting the gicven values into the above formula as follows.

                 f =

                567 Hz =

                     v = 544.32 m/s

Thus, we can conclude that the speed (in m/s) of a transverse wave on this string is 544.32 m/s.

An electric dipole ℘​(t)=℘0​z^cosωt is placed at the origin. (a) Determine the fields and the radiation along the axis of the dipole. Use the far-field approximation. (b) Repeat part (a) for the direction normal to the dipole. (c) Give a sketch of the radiation as a function of Θ

Answers

An electric-powered dipole positioned on the foundation exhibits radiation fields alongside its axis and is regular to the dipole. The radiation pattern follows a sinusoidal shape and shows most radiation alongside the axis and minimum radiation perpendicular to the dipole.

(a) Along the axis of the dipole, the electrical field E and magnetic area B can be decided using the ways-field approximation. The electric field is given via:

E = (\(k0\) * ℘0 * ω² * sinθ) / (4πε0 * r * c²)

in which \(k0\) is the vacuum wave range, ℘0 is the dipole second, ω is the angular frequency, θ is the attitude between the axis and the direction of the statement, ε0 is the permittivity of unfastened area, r is the space from the dipole, and c is the speed of mild.

The magnetic area is given through:

B = (\(k0\) * ℘0 * ω² * sinθ) / (4πr * c²)

(b) For the route regular to the dipole, the electric field and magnetic area can be determined as follows:

E = (\(k0\) * ℘zero * ω² * cosθ) / (4πε0 * r² * c²)

B = 0

In this example, the magnetic area is 0 because the field lines are parallel to the route of observation.

(c) The sketch of the radiation sample as a function of Θ could have a maximum value at Θ = 0 (alongside the axis of the dipole) and minimal values at Θ = ±90° (regular to the dipole).

The radiation sample will follow a sinusoidal shape, with the most and minimal values repeating periodically as Θ changes. The pattern can be symmetric with an appreciation of the axis of the dipole.

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A 50 kg child is on a carnival ride with a radius of 5 meters. If the ride spins at a velocity of 5
m/s, what is the centripetal force on the child?

Answers

Explanation:

Find a force is F=mv^2/r, so F=50*5^2/5 = 250N

It is possible for a fault to have a N-S strike and an East dip False True

Answers

True, it is possible for a fault to have a north-south (N-S) strike and an eastward dip.

Faults can have various orientations and dips depending on the tectonic forces and geological conditions in a particular region. The strike refers to the direction of the fault line on the Earth's surface, while the dip indicates the angle at which the fault plane is inclined from the horizontal. Therefore, a fault can have any combination of strike and dip, including an N-S strike and an eastward dip.

Faults are geological fractures where movement has occurred, and their orientations can vary. A fault with a north-south (N-S) strike means it extends in that direction horizontally. The dip refers to the angle of the fault plane from the horizontal. So, it is possible for a fault to have an N-S strike and an eastward dip.

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The infamous chicken is dashing toward home plate with a speed of 5.8m/s when he decides to hit the dirt. The chicken slides for 1.1s, just reaching the plate as he stops. (safe of course). (a) What is the magnitude of the chickens acceleration (b) How far did the chicken slide?

Answers

We know that

• The initial speed is 5.8 m/s.

,

• The time elapsed is 1.1 seconds.

,

• The final speed is zero because it will stop.

Let's find the acceleration. We have to use a formula that involves the initial speed, the time spent, the final speed, and acceleration.

\(v_f=v_0+at\)

Now we use the given magnitudes to solve for a.

\(\begin{gathered} 0=5.8\cdot\frac{m}{s}+a\cdot1.1\sec \\ -5.8\cdot\frac{m}{s}=a\cdot1.1\sec \\ a=\frac{-5.8\cdot\frac{m}{s}}{1.1\sec } \\ a\approx-5.3\cdot\frac{m}{s^2} \end{gathered}\)

(a) The magnitude of the chicken's acceleration is -5.3 m/s^2.

Now, to find how far the chicken slid, we have to use a formula that includes distance.

\(v^2_f=v^2_0+2ad\)

Let's use the magnitudes we know to find d.

\(\begin{gathered} 0=(5.8\cdot\frac{m}{s})^2+2(-5.3\cdot\frac{m}{s^2})d \\ 0=33.64\cdot\frac{m^2}{s^2}-10.6\cdot\frac{m}{s^2}\cdot d \\ d=\frac{-33.64\cdot\frac{m^2}{s^2}}{-10.6\cdot\frac{m}{s^2}} \\ d\approx3.2m \end{gathered}\)

(b) The chicken slid 3.2 meters.

As you can observe, the positive direction of the movement is towards the home plate. So, the acceleration is towards the third base because it's negative, that is, the chicken is slowing down to get to home plate.

Therefore, the direction of the acceleration is towards the third base.

The infamous chicken is dashing toward home plate with a speed of 5.8m/s when he decides to hit the dirt.

Calculate the astronaut's weight on Earth, in newtons. On the moon the the astronaut weights 200N and Its mass is 120 kg. The earth The mass of the astronaut is 120kg what is the weight of it in Newtons?

Answers

The astronaut's weight on Earth is approximately 1177.2 Newtons.

To calculate the astronaut's weight on Earth, we need to use the formula:
Weight = Mass x Gravity
The mass of the astronaut is given as 120kg, and we know that the gravity on Earth is approximately 9.81 m/s^2. So, we can calculate the weight as follows:
Weight = 120kg x 9.81 m/s^2
Weight = 1177.2 N
It's important to note the difference between weight and mass. Mass refers to the amount of matter in an object, while weight is a measure of the force exerted on an object due to gravity. The mass of the astronaut remains constant on both the moon and Earth, but their weight changes due to the different gravitational pull of each celestial body. Answering this question required an understanding of both weight and mass, and the relationship between them.

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what kind of pressure prevents a white dwarf from collapsing?

Answers

Answer:

The type of pressure that prevents a white dwarf from collapsing is the electron degeneracy pressure.

What is a white dwarf?

A white dwarf is a stellar remnant of a low or medium-mass star that has died, formed by a white dwarf supernova.

White dwarfs are composed of electron-degenerate matter, a type of fermionic matter that is extremely dense.The inward gravitational force of a star causes it to compress and heat up as its hydrogen fuel runs out. The temperature at the center of a star reaches a few million degrees Celsius, allowing the helium in the core to undergo nuclear fusion. The star's outer layers are blown away as a result of the fusion process, leaving behind a hot and dense core called a white dwarf. This core is not supported by internal fusion reactions, and its heat energy is gradually lost through radiative cooling.

How does a white dwarf stay stable?

The white dwarf's stability is maintained by electron degeneracy pressure, which is the result of electrons being packed so tightly in the star's core that they are forced to behave like a gas, rather than a collection of individual particles.

The quantum mechanical Pauli exclusion principle governs the behavior of these electrons, which prohibits two fermions from occupying the same quantum state at the same time.

As a result, each electron is forced into a higher-energy state, resulting in a pressure that resists gravitational compression.

Therefore, the type of pressure that prevents a white dwarf from collapsing is the electron degeneracy pressure.

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what do simple machines increase? responses force force mechanical advantage mechanical advantage gravity gravity movement

Answers

Simple machines increase mechanical advantage.

Simple machines are devices that can make work easier by amplifying or changing the direction of the applied force. Mechanical advantage refers to the factor by which a simple machine multiplies the force applied to it. In other words, it is the ratio of the output force to the input force. By increasing the mechanical advantage, simple machines allow us to apply a smaller input force to achieve a larger output force, making it easier to perform tasks.

Simple machines do not increase the force itself; rather, they enhance the effectiveness of the force applied, making it more efficient. The mechanical advantage gained from using a simple machine enables us to overcome resistance or move objects with less effort.

Therefore, simple machines increase mechanical advantage, which allows us to achieve greater output force compared to the input force.

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A chemical reaction is the only way to an

A: Element

B: Pure Substance

C: Mixture

D: Solution

Answers

Answer:

B: Pure Substance

Explanation:

The moon is lit by light bouncing off of it. That light reaches Earth as ____. The different shapes that the moon appears to have are called ____. The moon goes through ____ phases as it revolves around the ____ every ____ days. The phase that we see depends on how much of the ____ part of the moon we can see. This depends on the positions of the ____, ____, and ____.

Answers

Answer:

Moonlight; phases; eight; 29 days; sunlit; earth; sun; moon.

Explanation:

A moon generally do not have or possess light but rather it reflects the light from the sun.

The moon is lit by light bouncing off of it. That light reaches Earth as moonlight. The different shapes that the moon appears to have are called phases. The moon goes through eight (8) phases as it revolves around the earth every 29 days. The phase that we see depends on how much of the sunlit part of the moon we can see. This depends on the positions of the earth, sun, and moon.

The eight (8) phases of the moon include the following;

1. Last quarter half moon.

2. Waning crescent moon.

3. New moon.

4. Waxing crescent moon.

5. First quarter half moon.

6. Waxing Gibbous moon.

7. Full moon.

8. Waning Gibbous moon.

You have a summer job in a biomedical engineering laboratory studying the technology to enhance hearing. You have learned that the human ear canal is essentially an air filled tube approximately 2.7 cm long which is open on one end and closed on the other. You wonder if there is a connection between hearing sensitivity and standing waves so you calculate the lowest three frequencies of the standing waves that can exist in the ear canal. From your trus ty Physics textbook, you find that the speed of sound in air is 343 m/s.

A) Physic Approach - what equation and physics concepts are being used in this question.

B) Equation - show your work for the equation you will be using in the problem, equation manpulation (Do not plug in numbers)

C) Mathematical Approach - plug in the numbers

D) Check your answer - unit check and short explantion

Answers

(A)The principle of wave propagation and resonance is used.(B)The equation used for the fundamental frequency of a closed tube is: f = (v/2L) × n. (C) For the lowest  frequencies (n = 1, 2, 3), we can calculate the frequencies using the formula: f₁ = (v/2L) × 1. Important that  the values of these frequencies may vary depending on the exact length and characteristics of the ear canal.

These frequencies may vary depending on the exact length and characteristics of the ear canal.

A) The physics concepts and equation being used in this question are related to standing waves in a closed tube. The equation used is the formula for the fundamental frequency of a closed tube, which is derived from the principles of wave propagation and resonance.

B) The equation used for the fundamental frequency of a closed tube is:

f = (v/2L) × n,

where f is the frequency, v is the speed of sound, L is the length of the tube, and n is the harmonic number.

C) Plugging in the numbers:

Given:

Length of the ear canal (L) = 2.7 cm = 0.027 m

Speed of sound (v) = 343 m/s

For the lowest three frequencies (n = 1, 2, 3), we can calculate the frequencies using the formula:

f₁ = (v/2L) × 1,

f₂ = (v/2L) × 2,

f₃ = (v/2L) × 3.

D) Unit check and explanation:

Let's check the units:

The units of the speed of sound (v) are m/s.

The units of the length (L) are meters (m).

The units of frequency (f) are cycles per second or Hertz (Hz).

Plugging in the numbers and evaluating the expressions, we can find the values of the lowest three frequencies:

f₁ = (343 m/s / 2 × 0.027 m) × 1,

f₂ = (343 m/s / 2 × 0.027 m) × 2,

f₃ = (343 m/s / 2 × 0.027 m) × 3.

By calculating these expressions, we will obtain the numerical values of the lowest three frequencies of the standing waves in the ear canal.

It is important to note that the values of these frequencies may vary depending on the exact length and characteristics of the ear canal.

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an orthodontic spring, connected between the upper and lower jaws, is adjusted to provide no force with the mouth open. when the patient closes her mouth, however, the spring compresses by 6.0 mm.

Answers

Answer:

0.96  N

Explanation:

A car enters a freeway with a speed of 6.5 m/s and accelerates to a speed of 24 m/s in 3.5 min. How far does the car travel while it is accelerating? (Hint: find the acceleration first)

a 3205.5 m
b 1548.75 m
c 76.13 m
d 761.3 m

Answers

Explanation:

Using Equations of Motion :

(1) v = u + at

24 = 6.5 + a * 210

a (Acceleration) = 0.083 m/s^2

(2) v^2 = u^2 + 2aS

S = 576 - 42.25 / 0.166

S (Distance travelled) = 3215.3 m

(Option A seems a typo since the answer is 3215.3 m)

calculate the heat of television if:
light-119J
Sound-1J
electricity-200J
heat-?
quickly pls​

Answers

Answer:

002 bc eause iy is

A +35 µC point charge is placed 46 cm from an identical +35 µC charge. How much work would be required to move a +0.50 µC test charge from a point midway between them to a point 12 cm closer to either of the charges?

Answers

Answer:

512.5 mJ

Explanation:

Let the two identical charges be q = +35 µC and distance between them be r₁ = 46 cm. A charge q' = +0.50 µC located mid-point between them is at r₂ = 46 cm/2 = 23 cm = 0.23 m.

The electric potential at this point due to the two charges q is thus

V = kq/r₂ + kq/r₂

= 2kq/r₂

= 2 × 9 × 10⁹ Nm²/C² × 35 × 10⁻⁶ C/0.23 m

= 630/0.23  × 10³ V

= 2739.13 × 10³ V

= 2.739 MV

When the charge q' is moved 12 cm closer to either of the two charges, its distance from each charge is now r₃ = r₂ + 12 cm = 23 cm + 12 = 35 cm = 0.35 m and r₄ = r₂ - 12 cm = 23 cm - 12 cm = 11 cm = 0.11 cm.

So, the new electric potential at this point is

V' = kq/r₃ + kq/r₄

= kq(1/r₃ + 1/r₄)

= 9 × 10⁹ Nm²/C² × 35 × 10⁻⁶ C(1/0.35 m + 1/0.11 m)

= 315 × 10³(2.857 + 9.091) V

= 315 × 10³ (11.948) V

= 3763.62 × 10³ V

= 3.764 MV

Now, the work done in moving the charge q' to the point 12 cm from either charge is

W = q'(V' - V)

= 0.5 × 10⁻⁶ C(3.764 MV - 2.739 MV)

= 0.5 × 10⁻⁶ C(1.025 × 10⁶) V

= 0.5125 J

= 512.5 mJ

Work done will be:  \(512.5 \mu J\).

Given:

q = +35 µC

q' = +0.50 µC

r₁ = 46 cm

r₂ = 46 cm/2 = 23 cm = 0.23 m

The electric potential at this point due to the two charges q is thus

\(V = \frac{kq}{r_2}+\frac{kq}{r_2}\\\\ V= \frac{2kq}{r_2}\\\\V= \frac{2 * 9 * 10^9Nm^2/C^2 * 35 * 10^{-6} C}{0.23 m}\\\\V= \frac{630}{0.23*10^3}V\\\\V= 2739.13 * 10^3 V\\\\V= 2.739 \mu V\)

When the charge q' is moved 12 cm closer to either of the two charges, its distance from each charge is now;

r₃ = r₂ + 12 cm = 23 cm + 12 = 35 cm = 0.35 m and

r₄ = r₂ - 12 cm = 23 cm - 12 cm = 11 cm = 0.11 cm.

Thus, the new electric potential at this point is

\(V' = \frac{kq}{r_3} + \frac{kq}{r_4}\\\\V= kq(\frac{1}{r_3}+\frac{1}{r_4})\\\\V= 9 * 10^9 Nm^2/C^2 * 35 * 10^{-6} C (\frac{1}{0.35m}+\frac{1}{0.11m})\\\\V= 315 * 10^3(2.857 + 9.091) V\\\\V= 315 * 10^3 (11.948) V\\\\V= 3763.62 * 10^3 V\\\\V= 3.764 \mu V\)

Now, the work done in moving the charge q' to the point 12 cm from either charge is:

\(W = q'(V' - V)\\\\W= 0.5 * 10^{-6} C(3.764 MV - 2.739 MV)\\\\W= 0.5 *10^{-6} C(1.025 * 10^6) V\\\\W= 0.5125 J\\\\W= 512.5 \mu J\)

Thus, the work done will be: \(512.5 \mu J\).

Find out more information on "Work done" here:

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fill in the blanks
8) Kinetic energy is the energy of ________.



9)The potential energy of an object depends on its ________ and its height.



10) The law of ________ of energy states that energy can be neither created nor destroyed, but it can change its form.

Answers

Answer: Kinetic energy is the energy an object has because of its motion

(if it needs to be a one worded answer than just type motion)

The potential energy of an object depends on its mass and its height.

The law of conservation of energy states that energy can be neither created nor destroyed, but it can change its form.

Answer:Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work.

As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.

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