A 31.0 kW electric motor drives a vehicle at an average velocity of 9.20 m/s. Assuming a constant force is applied in the direction of the vehicles motion, what is the magnitude of the applied force?

Answers

Answer 1

The magnitude of the applied force is 3369.57 N.

 

What is Force?

Force can be defined as the product of mass and acceleration.

To calculate the magnitude of the applied force, we use the formula below.

Formula:

P = Fv................ Equation 1

Where:

P = Power of the electric motorF = Applied forcev = Velocity

Make F the subject of the equation

F = P/v................. Equation 2

From the question.

Given:

P = 31 kW = 31000 Wv = 9.2 m/s

Substitute these values into equation 2

F = 31000/9.2F = 3369.57 N

Hence, the magnitude of the applied force is 3369.57 N.

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Related Questions

if the body is floating in a liquid then can we say that the rise in the level of the liquid is equal to the height of the body

Answers

Yes, if a body is floating in a liquid, the rise in the liquid level is equal to the body height. This phenomenon is known as Archimedes' principle.

Archimedes' principle says when a body is immersed in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. Buoyant forces act in the opposite direction to gravity.

When a body floats in a liquid, it displaces a volume of liquid equal to its volume. As a result, the liquid level rises by an amount equal to the height of the submerged part of the body.

This principle holds for objects that float or are partially immersed in a liquid, such as a buoyant boat or a floating object. However, if the body sinks completely into the liquid, the liquid level rise will no longer be equal to its height. Instead, it depends on the density and volume of the submerged object.

What evidence did Wegener NOT use to support his idea of continental drift?
A. Mountain ranges on different continents lined up when coastlines were matched up.
B. Fossils of plants and animals in climates where their survival would have been impossible. C. The thickness of layers of ice in the Antarctic.
D. Rock strata on different continents lined up when coastlines were matched up.

Answers

The evidence that Wegener did NOT use to support his idea of continental drift is "the thickness of layers of ice in the Antarctic.

option C

What is Wegener's primary evidence for continental drift?

Wegener's primary evidence for continental drift included the fit of the coastlines of different continents, the distribution of fossils across different continents, and the alignment of rock strata on different continents.

So the thickness of layers of ice in the Antarctic, was not used by Wegener to support his idea of continental drift. While this evidence is important for supporting the theory of glaciation, it is not relevant to the theory of continental drift.

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A 0.250 kg block attached to a light spring oscillates on a frictionless, horizontal table. The oscillation amplitude is A = 0.125 m and the block moves at 3.00 m/s as it passes through equilibrium at x = 0. (a) Find the spring constant, k.

Answers

The spring constant, k will be 18 N/m.The ratio of force to one unit of displaced length is known as the spring constant.

What is the spring constant?

Spring constant is defined as the ratio of force per unit displaced length.

Given data;

Mass of  block,m=0.250 k

Amplitude,A = 0.125 m

Velocity,V=3.00 m/

Spring constant,K=?

The formula for the spring constant when the spring is oscillate at the given amplitude A:

\(\rm K = \frac{V_{max}^2 m}{A} \\\\ K = \frac{3.0 \times 0.250}{0.125} \\\\ K=18 \ N/m\)

Hence, the spring constant, k will be 18 N/m

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basics of gravitation:
Planet a exerts a force on planet b. What can be said about the magnitude and direction of the gravitational force planet b exerts on planet a?

Answers

Answer:

Explanation:

According to Newton's Law of Gravitation, the gravitational force between two objects is always mutual, meaning that the force that one object exerts on the other is equal in magnitude but opposite in direction.

This means that if planet A exerts a gravitational force on planet B, then planet B will also exert a gravitational force on planet A. The magnitude of this force will be equal to the magnitude of the force that planet A exerts on planet B, but the direction will be opposite.

For example, if planet A exerts a gravitational force on planet B that is pulling planet B towards planet A, then planet B will also exert a gravitational force on planet A that is pulling planet A towards planet B. The magnitude of these two forces will be equal, but the directions will be opposite.

hat he sais

Answer:w

Explanation:

What's the name of the compound Kl?

Answers

Answer: Potassium iodide

Explanation: their you go

Answer:

Potassium iodide

Explanation:

Have a good day

You and your family are attending an annual 4th of July fireworks display. During the show, you observe that the sound from the exploding fireworks arrives 2.5 seconds after the light from the explosions. Knowing that the air temperature that night was 26°C, determine the distance (in meters) between you and the fireworks.

Round to the nearest whole number.

Technical Note: The setup for this problem assumes that the sound from the exploding firework takes time to reach you (on the order of a second) but that you see the explosion without a time delay. This is an oversimplification! However, light travels really, really fast (about 300,000,000 m/s). The light travel time at a fireworks show is on the order of millionths of a second, so for the purposes of this problem it is OK to approximate that you are seeing the fireworks without a time delay.

Please show all work!

You and your family are attending an annual 4th of July fireworks display. During the show, you observe

Answers

Answer:  The speed of sound in air depends on temperature, pressure, and humidity. For dry air at 26°C, the speed of sound is approximately 346 meters per second.

Let's call the distance between you and the fireworks "d". We can use the fact that the time it takes for the sound to reach you is 2.5 seconds longer than the time it takes for the light to reach you:

d = speed of sound x time delay

d = 346 m/s x 2.5 s

d = 865 meters

Therefore, the distance between you and the fireworks is approximately 865 meters.

When a thunderstorm is approaching, sailors at sea sometimes
observe a phenomenon called “St. Elmo’s fire,” a bluish
flickering light at the tips of masts. What causes this? Why does it
occur at the tips of masts? Why is the effect most pronounced
when the masts are wet? (Hint: Seawater is a good conductor of electricity.)

Answers

Answer:

the fire of Saint Elmo is the result of the electric blast between the masts and the atmosphere.

Explanation:

The planet's atmosphere has an electrical charge created by the static zirconium of all moving bodies, in this case the relative motion of clouds and air.

The earth has a potential that is distributed throughout the body, as the sea is a good conduit and the masts in general are metal, and the electric field in them is high, which is why it can produce an electrical discharge between it and the atmosphere which is the so-called Fire of Saint Elmo.

Consequently the fire of Saint Elmo is the result of the electric blast between the masts and the atmosphere.

I need help with this question (open-ended question) 50 points (NO BOTS!!!)

Choose TWO locations below (A, B, C) and provide a two-sentence weather forecast for that location. Your forecast must include Wind direction, general wind speed (high, moderate, low) general temperatures (cold, cool, mild, warm, hot), and sky conditions(precipitation/stormy, sunny cloudy).

Answers

The weather forecast for the locations includes:

London - 21°C°, Precipitation: 60%, Humidity: 79%, Wind: 11 km/h.

New York - 26°C°, Precipitation: 50%, Humidity: 76%, Wind: 19 km/h.

What is weather?

It should be noted that weather is the state of the atmosphere with respect to heat or cold, calm or storm, clearness or cloudiness.

Weather forecast is an analysis of the state of the weather in an area with an assessment of the likely developments.

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Explain the difference between a high tide and a low tide.

Answers

Answer: Tidal range

Explanation:

Tides are considering the rise and fall of sea levels and there are two types of it which are called high tide and low tide. The difference between high tide and low tide is called the tidal range.

The tidal range is not constant and it is considering height difference. It can change and it is depending on the locations of the Sun or the Moon.

High tide is the highest level of the place where the water rises because when the water rises to its highest level, then the water is reaching its high tide.When it comes to low tide, then it is the opposite of high tide. Water is reaching its lowest level.

A monarchy is the type of government that the colonist do not want true or false

Answers

Answer:

Monarchy is rule from kings and queens

Explanation:

12) If a man weighs 900 N-on the Earth, what would he weigh on Jupiter, where the acceleration due to gravity is 25.9 m/s?

Answers

Answer:

Force=Mass*acceleration

on earth, acceleration=9.81 m/s^2

900 N=Mass*9.81 m/s^2

Mass=91.74 Kg

F=Mass*acceleration(Jupiter)

F=91.74Kg*25.9m/s

F=2376.066 N on Jupiter

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g A 50 kg box is resting on a horizontal surface. Results for item 1. 1 1 / 1 point Determine the weight of the box in [N]. Correct answer: 490 Results for item 2. 2 1 / 1 point Determine the magnitude of the normal force acting on the box in [N]. Correct answer: 490 Results for item 3. 3 0 / 1 point Find the magnitude of the upward applied force, in [N], necessary to lift the box with an acceleration of 1 m/s2

Answers

Answer:

(a) 490 N

(b) 490 N

(c) 540 N

Explanation:

mass, m = 50 kg

acceleration, a = 1 m/s2

(a) The weight is given by

W = m g = 50 x 9.8 = 490 N

(b) The normal force is

N = m g = 490 N

(c) Let the force required is F.

Use Newton's second law

F - m g = m a

F = m(g + a)

F = 50(9.8 + 1)

F = 540 N

A soccer player kicks a ball, applying a force of 1,000 newtons over a distance of 0.2 meter. The ball travels 50 meters down the field before another player stops the ball. How much work was done during the kick?

Answers

The total work done on the ball by the soccer player is 50,200 J.

Work done by applied force

The work done by the applied force is the product of the applied of the applied force and the displacement of the object.

The work on the ball

The work done on the ball is calculated as follows;

W = Fd

W = 1000 x (0.2 + 50)

W = 50,200 J

Thus, the total work done on the ball by the soccer player is 50,200 J.

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If the earth was 8 times further from the sun how would the gravitational affect of the sun on earth change

Answers

Answer: Not that much gravitationally would change seasons and things of that matter would stay the same but they would be much colder, and  Earth would probably freeze solid.

Explanation:

03: Hook's law suggests that F is directly proportional to -x, how much true you have found this statement in your experiment? Explain any differences.​

Answers

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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A mine of mass 190 kg in a volume of 1.150 m³ is shown in the figure. If the tension in the chain is 5.6×10^3 N. What is the density of the fluid that the mine is in?

A mine of mass 190 kg in a volume of 1.150 m is shown in the figure. If the tension in the chain is 5.610^3

Answers

ANSWER

661.61 kg/m³

EXPLANATION

Given:

• The mass of the mine, m = 190 kg

,

• The volume of the mine, V = 1.150 m³

,

• The tension in the chain, T = 5.6x10³ N = 5600 N

Find:

• The density of the fluid, ρ

Let's draw a free-body diagram of this situation first,

If the forces are in equilibrium,

\(F_b-T-F_g=0\)

The buoyant force is given by the equation,

\(F_b=\rho gV\)

Where ρ is the density of the fluid, and V is the submerged volume - in this case, the volume of the mine. We know the magnitude of the tension in the chain and the weight of the mine is,

\(F_g=mg\)

Replace in the first equation,

\(\rho gV-T-mg=0\)

Solving for ρ,

\(\rho=\frac{T+mg}{gV}\)

Replace with the known values and use g = 9.81 m/s²,

\(\rho=\frac{5600N+190kg\cdot9.81m/s^2}{9.81m/s^2\cdot1.150m^3}\approx661.61kg/m^3\)

Hence, the density of the fluid the mine is in is 661.61 kg/m³.

A mine of mass 190 kg in a volume of 1.150 m is shown in the figure. If the tension in the chain is 5.610^3

A block of mass 2 kg is launched by compressing a spring of force constant 1200 N/m. The block slides on a frictionless surface, up a 1 meter tall ramp, then it enters a region of rough surface. It comes to a stop after traveling 3 meters over the rough surface. The coefficient of kinetic friction between the block and the rough surface is 0.40.

Required:
a. How many forces end up doing work on the block from release to stop?
b. What is the total non-conservative work done on the block?
c. What is the change in the spring potential energy of the block?

Answers

Answer:

zzyibgsdwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwe

Explanation:

Which best describes what happens when light traveling through air enters water at an angle?
It moves along straight lines in air and changes direction when it enters water.
O It moves in a curve in air and moves in straight lines when it enters water.
O It moves along straight lines in air and continues along the same lines when it enters water.
O It moves in a curve in air and continues moving in the same curve when it enters water.
Mark this and return
Save and Exit
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Submit

Answers

Answer:

When light traveling through air enters water at an angle, it moves in a curve in air and changes direction when it enters water. This bending of light is known as refraction. The angle at which the light bends depends on the difference in the refractive indices of the two media, which is why the light bends when it enters the denser medium of water.

An ideal engine (Carnot) is rated at 50 % efficiency when it is able to exhaust heat at a temperature of 20 ºC. If the exhaust temperature is lowered to 30 ºC, what is the new efficiency.

Answers

The new efficiency of the ideal engine rated at 50% is : 59%

Given data :

Inital exhaust temperature = 20ºC

Final exhaust temperature = - 30 ºC

The efficiency of an ideal engine can be calculated with the formula below

η = 1 - Texhaust / Tinput

Therefore :

Tinput = Texhaust / 1 - η ---- ( 2 )

where : Texhaust = 293 k ,   η = 0.50 ,

insert values into equation ( 2 )

Tinput = 293 / 1 - 0.50

           = 586 k

Calculate the new efficiency

The new efficiency of the ideal engine ;

η = 1 - T'exhaust / Tinput

  = 1 - 243 / 586

  = 1 - 0.41 = 59%

Hence we can conclude that the new efficieny is 59%

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4.og of nacl is heated with mno2 in excess concentrated h2so4 the chlorine gas liberated is then passed through KI solution to liberate iodin. Calculate the mass of mno2

Answers

The mass of MnO₂ required by 4 g of NaCl in the chemical reaction is 1.487 g.

What is the balanced chemical reaction of NaCl, MnO₂ and H₂SO₄?

The balanced chemical reaction of NaCl, MnO₂ and H₂SO₄ is given as follows;

4NaCl + MnO₂ + 4H₂SO₄ → MnCl₂ +  4NaHSO₄ + Cl₂ + 2H₂O

From the chemical equation given above, we can calculate the mass of 4NaCl  and MnO₂  as follows;

where;

Na is sodium, mass = 23 g/molCl is chlorine, mass = 35.5 g/molMn is manganese, mass = 55 g/molO is oxygen = 16 g/mol

4NaCl = 4 ( 23 + 35.5 ) = 234 g

MnO₂  = ( 55 + 32 ) = 87 g

The mass of MnO₂ required by 4 g of NaCl in the chemical reaction is calculated as;

4NaCl + MnO₂ + 4H₂SO₄ → MnCl₂ +  4NaHSO₄ + Cl₂ + 2H₂O

in this equation, 234 g of NaCl ---------> 87 g of MnO₂

                           4 g of NaCl -------------> ? MnO₂

= ( 4 x 87 ) / ( 234 )

= 1.487 g

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In a DC generator, the generated emf is directly proportional to the

Answers

In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.

This relationship is described by the equation for the generated emf in a DC generator:

Emf = Φ * N * A * Z / 60

Where:

Emf is the generated electromotive force (in volts),

Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),

N is the number of turns in the armature winding,

A is the effective area of the armature coil (in square meters),

Z is the total number of armature conductors, and

60 is a constant representing the conversion from seconds to minutes.

From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.

The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.

The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.

Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.

By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.

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2. A car is traveling a road that includes two sides of a rectangle with the
sides a and b with a constant speed. What is the speed if the
magnitude of the average velocity of the car is v?

Answers

The speed of the car in terms of the average velocity is \(\frac{v(a+ b) }{\sqrt{a^2 + b^2} }\)

The given parameters;

length of each side of the triangle = a and baverage velocity = v

The average velocity of the car is defined as the rate of change of displacement.

\(average \ velocity = \frac{displacement}{time}\)

The displacement of the car along the rectangle is obtained by applying Pythagoras theorem to calculate the diagonal of the rectangle ;

c² = a² + b²

\(c = \sqrt{a^2 + b^2}\)

\(v= \frac{\sqrt{a^2 + b^2} }{t} \\\\t = \frac{\sqrt{a^2 + b^2} }{v}\)

The speed of the car is defined as the rate of change of distance.

\(speed = \frac{distance}{time}\)

The distance around the 2 sides of the rectangle is calculated as;

Distance =  a + b

\(speed = \frac{a+b}{t}\)

\(speed = \frac{v(a+ b)}{\sqrt{a^2 + b^2} }\)

Thus, the speed of the car is \(\frac{v(a+ b) }{\sqrt{a^2 + b^2} }\)

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what is the full distance when an object is thrown at 35 m/s at an angle of 45 degrees

what is the full distance when an object is thrown at 35 m/s at an angle of 45 degrees

Answers

Okay, here are the steps to calculate the full distance traveled when an object is thrown at a certain speed and angle:

You have the initial velocity (v): 35 m/s

You have the launch angle (θ): 45 degrees

We need to split the initial velocity into its horizontal (vx) and vertical (vy) components.

To calculate vx (horizontal component):

vx = v * cosθ

vx = 35 * cos(45) = 24.7 m/s

To calculate vy (vertical component):

vy = v * sinθ

vy = 35 * sin(45) = 24.7 m/s

We can calculate the horizontal distance (d) traveled using:

d = vx * t (where t is time)

Since there is no air resistance, the vertical velocity (vy) will remain constant. This means the time the object is in the air is:

t = vy / g (where g is acceleration due to gravity, 9.8 m/s^2)

t = 24.7 / 9.8 = 2.52 seconds

Now we can calculate the full horizontal distance traveled:

d = vx * t

d = 24.7 * 2.52

= 62.3 meters

So the full distance the object will travel when thrown at 35 m/s at a 45 degree angle is approximately 62 meters.

Let me know if you have any other questions!

Answer:

To calculate the full distance traveled by an object thrown at a velocity of 35 m/s at an angle of 45 degrees, we need to consider the horizontal and vertical components of the motion separately.

The horizontal component of the motion remains constant throughout the trajectory and is given by:

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

In this case, the initial velocity is 35 m/s, the angle is 45 degrees, and we need to find the time of flight.

The time of flight can be calculated using the vertical component of the motion. The vertical motion can be described using the equation:

Vertical displacement = (Initial velocity * sin(angle))^2 / (2 * acceleration)

Where the initial velocity is 35 m/s, the angle is 45 degrees, and the acceleration is the acceleration due to gravity, approximately 9.8 m/s^2.

The vertical displacement is zero at the highest point of the trajectory since the object comes back down to the same height it was launched from. So we can solve the equation for the time of flight.

Using these calculations, we can find the horizontal distance traveled by the object.

Let's calculate step by step:

Step 1: Calculate the time of flight

Vertical displacement = 0 (at the highest point)

0 = (35 * sin(45))^2 / (2 * 9.8)

0 = (24.75^2) / 19.6

0 = 616.0125 / 19.6

0 = 31.43

Step 2: Calculate the time of flight

Vertical displacement = (Initial velocity * sin(angle)) * time - (1/2) * acceleration * time^2

0 = (35 * sin(45)) * time - (1/2) * 9.8 * time^2

0 = 24.75 * time - 4.9 * time^2

4.9 * time^2 - 24.75 * time = 0

time * (4.9 * time - 24.75) = 0

time = 0 (initial point) or 24.75 / 4.9

time = 5.05 seconds

Step 3: Calculate the horizontal distance

Horizontal distance = (Initial velocity) * (Time of flight) * cos(angle)

Horizontal distance = 35 * 5.05 * cos(45)

Horizontal distance = 35 * 5.05 * (sqrt(2)/2)

Horizontal distance = 88.96 meters

Therefore, when an object is thrown at 35 m/s at an angle of 45 degrees, the full distance traveled is approximately 88.96 meters.

1. A male African elephant can grow up to 14 feet tall and have a mass as large as 7,000 kg. What would
be the weight in Newtons of a male African elephant on the moon?

Answers

The weight of a male African elephant on the moon would be approximately 11,470.2 Newtons.

To calculate the weight of a male African elephant on the moon, we need to use the formula:

Weight = mass × acceleration due to gravity

The mass of the elephant is given as 7,000 kg. However, the acceleration due to gravity on the moon is approximately 1/6th (0.1667) of the acceleration due to gravity on Earth, which is approximately 9.8 m/s².

Weight on the Moon = 7,000 kg × 0.1667 × 9.8 m/s²

Weight on the Moon = 7,000 kg × 1.6386 m/s²

Weight on the Moon ≈ 11,470.2 Newtons

Therefore, the weight of a male African elephant on the moon would be approximately 11,470.2 Newtons.

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The substance that is formed in a chemical reaction is called the

Answers

Answer:

The substance formed is the product. A chemical reaction is the process in which atoms present in the starting substances rearrange to give new chemical combinations present in the substances formed by the reaction. These starting substances of a chemical reaction are called the reactants, and the new substances that result are called the products.

Answer:

product

Explanation:

educere

Of the following, which change in motion took the greatest amount of time?

A) A ball falling at 73 m/s and hitting the ground at 9.8 m/s?

B) An object speeding up from 64 m/s to 129 m/s at an acceleration of 9.8
m/s2

C) A horse slowing from a 90 m/s velocity to a 38 m/s velocity at an acceleration of 8.2 m/s2

D) A car slowing down at an acceleration of 5.6 m/s from a speed of 45 m/s to a speed of 9 m/s

Answers

Answer:

B)

Explanation:

Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed

Answers

Answer: The scenario violates the second law of thermodynamics.

Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.

Craters accumulate over time. This means that the number of craters you see gives a rough idea of the age of the surface. Using this method, sort the surfaces of Venus, Earth, Mercury, Mars and the Moon by age. How can you reconcile these vastly different ages with the idea that all the planets formed at the same time?

Answers

The planets Earth, Mars, and Jupiter are well known. But before recent findings sparked a passionate argument about how to best characterize them, both Pluto and Ceres were thought of as planets.

What are Planets?

This dispute is still going strong today. The International Astronomical Union established the most recent definition of a planet in 2006. It specifies three requirements for a planet.

It must move about a star (in our cosmic neighborhood, the Sun). It must be large enough for gravity to pull it in a spherical direction.

It must have been large enough that any nearby objects of a similar size were removed by its gravitational pull.

Therefore, The planets Earth, Mars, and Jupiter are well known. But before recent findings sparked a passionate argument about how to best characterize them, both Pluto and Ceres were thought of as planets.

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2. Identify the types of relationship for each of these expressions (linear, inverse, parabolic):
Between Kinetic energy and speed
Between potential energy and mass
between pressure and volume
between pressure and temperature
between displacement and velocity

Answers

Between Kinetic energy and speed: The relationship is quadratic or parabolic. According to the kinetic energy formula, KE = 1/2 mv^2, the kinetic energy is proportional to the square of the speed.

Between potential energy and mass: The relationship is linear. The potential energy is directly proportional to the mass. In simple cases, the potential energy is given by PE = mgh, where mass (m) and height (h) are directly proportional.

Between pressure and volume: The relationship is inverse. According to Boyle's law, the pressure and volume of a gas are inversely proportional when temperature is constant. Mathematically, P1V1 = P2V2.

Between pressure and temperature: The relationship is linear. According to Charles's law, the pressure and temperature of a gas are directly proportional when volume is constant. Mathematically, P1/T1 = P2/T2.

Between displacement and velocity: The relationship is linear. Velocity is the rate of change of displacement with respect to time, so the two are directly proportional.

In xray machines, electrons are subjected to electric fields as great as 6.0 x 10^5 N/C. Find
an electron's acceleration in this field.​

Answers

Answer:

a = 1.055 x 10¹⁷ m/s²

Explanation:

First, we will find the force on electron:

\(E = \frac{F}{q}\\\\F = Eq\\\)

where,

F = Force = ?

E = Electric Field = 6 x 10⁵ N/C

q = charge on electron = 1.6 x 10⁻¹⁹ C

Therefore,

\(F = (6\ x\ 10^5\ N/C)(1.6\ x\ 10^{-19}\ C)\\\)

F = 9.6 x 10⁻¹⁴ N

Now, we will calculate the acceleration using Newton's Second Law:

\(F = ma\\a = \frac{F}{m}\\\)

where,

a = acceleration = ?

m = mass of electron = 9.1 x 10⁻³¹ kg

therefore,

\(a = \frac{9.6\ x\ 10^{-14}\ N}{9.1\ x\ 10^{-31}\ kg}\\\\\)

a = 1.055 x 10¹⁷ m/s²

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