a heat engine takes in 2500j and does 1500j of work. a) how much energy is expelled as waste? (answer:1000j ) b) what is the efficiency of the engine? (answer: 0.6)

Answers

Answer 1

The efficiency of the engine is 0.6 or 60%. To find the amount of energy expelled as waste, we need to calculate the difference between the energy input and the work done by the engine.

The energy input is the amount of heat the engine takes in, which is given as 2500 J. The work done by the engine is the useful work it does, which is given as 1500 J. Therefore, the energy expelled as waste is: Waste energy = Energy input - Work done, Waste energy = 2500 J - 1500 J, Waste energy = 1000 J. Therefore, the amount of energy expelled as waste is 1000 J.

The efficiency of the engine is the ratio of the useful work done by the engine to the energy input. In other words, it tells us how much of the energy input is converted into useful work. To calculate the efficiency, we divide the work done by the engine (the useful work) by the energy input:

Efficiency = Useful work / Energy input

Substituting the given values, we get:

Efficiency = 1500 J / 2500 J

Efficiency = 0.6

Therefore, the efficiency of the engine is 0.6 or 60%.

In summary, the heat engine takes in 2500 J of energy and does 1500 J of useful work, leaving 1000 J of energy expelled as waste. Its efficiency is 0.6 or 60%, which means that 60% of the energy input is converted into useful work, and the remaining 40% is wasted.

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Related Questions

Helium is in group 18 of the periodic table. How is helium different from the other elements in this group?.

Answers

Helium is the only element in group 18 that is a noble gas. It does not react with other elements and does not form compounds.

What is noble gas?

Noble gases are a group of elements found in the periodic table that are known for their inertness, or resistance to chemical reactions. They are the most stable elements in their respective rows. The noble gases are helium, neon, argon, krypton, xenon, and radon. They have all been discovered in nature, though some only in trace amounts. Noble gases have unique atomic structures, with their outermost electron shells completely filled with electrons.

Helium also has the lowest boiling point and melting point of the elements in group 18. In comparison to the other elements in group 18, helium is the lightest and least dense.

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VT 102.00 V, T = ?,
V₁?, 1₁=?, R₁= ?
V₂= 48.00 V, 12= ?, R₂= ?
V3= 40.00 V, 13?, R3- 19.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the current (I3) which is flowing through resistor three?
Your Answer:
RT
R₁ = ?

Answers

The current (I3) flowing through resistor three is not provided with the given information. To find the current, we would need the value of the total resistance (RT) which is not provided. Additionally, we would also need the value of R₁ and R₂ to calculate the total resistance.

What is resistor?

A resistor is a passive electrical component that resists the flow of electrical current, reducing the current flowing through a circuit. They are often used to limit the current in a circuit, distribute power, or to adjust the voltage level in a circuit. They can be made of various materials such as carbon, metal film, and metal oxide, and are characterized by their resistance value measured in ohms (Ω).

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In both cases shown at right, an astronaut is a distance x from a moon. The two cases are identical except that in Case A there is a large planet directly between the astronaut and the moon.

a) Is the gravitational force on the astronaut by the moon greater in Case
A, greater in Case B, or the same in both cases? Explain your reasoning.
b) In which case will the astronaut have greater acceleration? Explain your reasoning.

Answers

The only exception is Mars, which is noticeably less brilliant at opposition compared to how apparent the other planets are on Earth.

Can astronauts see Earth?Numerous astronauts and cosmonauts have observed the Overview Effect, saying that when they view the Earth from space, it appears to be "a tiny, fragile ball of life dangling in the emptiness, sheltered and nourished by a paper-thin atmosphere."The first citizen of India to visit space is Rakesh Sharma. India's space mission made it the 14th country in the world to launch a man into space.Moons and planets within the solar system. … Jupiter, Saturn, Uranus, and Neptune, together known as the Jovian planets or big planets, are massive bodies with densities less than 2 grammes per cubic centimetre. Jupiter and Saturn are predominantly made of hydrogen and helium, while the other three are made of ice, rock, hydrogen, and helium (Uranus and Neptune).

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The amplitude of pule A i 20cm and that of pule B i 10 Cm what i the maximum of the reultant pule

Answers

Maximum resultant pulse will be 22.36 cm, if the amplitude of pulse A is 20 cm, and that of pulse B is 10 cm.

Equations of two superimposing waves with a phase difference of π/2, are:

y₁ = a₁sin(ωt) and y₂ = a₂sin(ωt + π/2) = a₂cos(ωt)

The equation of the resultant wave will be:

y = y₁ + y₂

y = a₁sin(ωt) + a₂cos(ωt)

Assuming a₁ = acos(Φ),  a₂ = asin(Φ)

So, y = asin(ωt+Φ)

(a₁)² + (a₂)² = a²(sin²Φ + cos²Φ)

(a₁)² + (a₂)² = a²

a = √((a₁)² + (a₂)²)

a = √(20²+10²)

a = √500

a = 22.36 cm.

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Quartz and halite have different crystal shapes primarily because
answer choices
Light reflects from crystal surfaces
Energy is released during crystallization
Of impurities that produce surface variations
The internal arrangement of atom

Answers

Quartz and halite have different crystal shapes primarily because of the internal arrangement of atom.

Due to some reasons, quartz and halite have different crystal shapes. Primarily, the reasons are:

Both are formed from molten material.Both are composed of minerals.Both are produced by heat and pressure.

The very distinct key characteristics that make us can easily observe and differ between quartz and halite is that quartz crystals always make a pointed pencil shape. It has 6 sides on terminal ends as resembling a prism. Furthermore, halite tastes like salt, because halite is salt. The other characteristics that we could use to differentiate between two of them is that a quartz crystal is hexagonal in cross section, meanwhile a halite crystal is square in cross section.

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Starts at rest at 3m to the right after 10s he is traveling 2m/a to the left where does he end up

Answers

He ends up 17 meters to the left of the center position, according to the given question.

In physics, what is position?

An object's location at any given time is known as its position (x), and its change in position is known as displacement. Both of these must be determined from the reference frame because they are vector values.

Suppose he is at a position which is 3 m. right from the center position

Given data :

Initial position = 3m to the right

Time = 10 sec.

Speed = 2m/s.

By using the formula -

speed = distance / time

distance = speed × time

distance = 2 × 10

distance = 20 m.

He end up at 17 m. to the left from the center position.

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The air in the balloon had a mass of 0.00320 kg
The temperature of the air in the balloon decreased by 215 °C
The change in thermal energy of the air in the balloon was 860 J
Calculate the specific heat capacity of the air in the balloon.

Answers

The specific heat capacity of the air in the balloon is 125.88 J/kg °C.

What is specific heat?

Specific heat is the amount of energy required to raise the temperature of a unit mass of a substance by one degree. It is measured in joules per kilogram Kelvin (J/kgK). Specific heat is an important physical property of a substance, as it determines how much energy is required to change its temperature. It is also used to calculate the amount of energy released or absorbed during a chemical reaction. Specific heat is also known as heat capacity, and is often used to compare the heat capacity of different materials.

The specific heat capacity of a substance is the amount of energy required to raise the temperature of 1 kg of the substance by 1 °C.
To calculate the specific heat capacity of the air in the balloon, we can use the equation:
Q = m * c * ΔT
Where Q is the change in thermal energy, m is the mass of the air, c is the specific heat capacity, and ΔT is the change in temperature.
Rearranging the equation, we get:
c = Q / (m * ΔT)
Plugging in the values given, we get:
c = 860 J / (0.00320 kg * 215 °C)
c = 860 J / (0.0068 kg °C)
c = 125.88 J/kg °C
Therefore, the specific heat capacity of the air in the balloon is 125.88 J/kg °C.


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A rocket blasts away from the earth with a cargo for the international space station. Sketch the graph of the force of gravity the rocket experiences from the earth as a function of time.

Answers

F = GMm/r2 so F is proportional to 1/r2. Standard orbital altitudes are not a large percentage of the radius of the Earth. The acceleration due to gravity is only slightly smaller in orbit compared to the surface of the Earth. sorry if it’s wrong

A roller coaster car has a mass of 400 kg, and is traveling through a vertical loop of radius 45 m. What is the minimum speed to just maintain contact with the track at the inside of the top of the loop?

Answers

Where, a is the acceleration of the car at the top of the loop. Thus, the minimum speed required to safely make it through the loop is about 12.12m/s 12.12 m / s .

What 3 main forces act on a roller coaster?A roller coaster is a device that propels a train of vehicles over a twisting track using gravity and inertia. As the coaster rolls up, down, and around the track, the body experiences distinct sensations as a result of gravity, inertia, g-forces, and centripetal acceleration. According to this, an object at rest or in motion maintains its current condition until the application of imbalanced forces. Law of Inertia governs the majority of roller coasters. All roller coasters require a push or a pull to start since an item at rest remains at rest. Force times mass equals acceleration, according to Newton's Second Law (f x m = a). In essence, this means that the stronger the force.

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Two airplanes are flying in the sky in such a way that gravitational attractions between them decreases. The planes must be flying away from each other.

Answers

According to the given statement The planes must be flying away from each other.

Why is gravitational attraction?

It is a characteristic of things, of substance. All matter is drawn to all other matter, to put it simply. The stronger the attraction between things, the more substance there is, and also the closer together the items are. Gravity constantly draws objects together, unlike power and magnetism, which may either attract or repel.

Is the gravitational attraction a theory?

Regarding the law of attraction, the concept of universal gravitation is a theory, not an established reality. It is important to approach this information with only an open mind and to thoroughly read through and think about it. In spite of the fact that it is not even a good hypothesis, the General Theory of Gravity is frequently taught in schools as truth.

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The complete question is -

Two airplanes are flying in the sky in such a way that the gravitational attractions between them decreases ?

A fifty-car train going 25 meters per second took 150 seconds to stop. What is the acceleration/deceleration?

Answers

Deceleration of 1/6 m/s2

Initial Velocity(u) = 25m/s

Final velocity(v) = 0 m/s

Time taken in reaching velocity 0 (t) = 150 s

so as we know from the equation of 2 dimension motions that

v = u + at    ....................... (Formula Used)

So  

0 = 25 + a*150-25 = 150aa= -25/150 ---> -1/6 m/s2

As we know that the acceleration is negative so we can conclude that it is a deceleration of 1/6 meter per second square. In the given Question, the information of Fifty - car train has no use in solving acceleration or deceleration.

Acceleration is always Positive as it Increases the speed of the body but Deceleration is negative as it for reducing the speed.

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A metal phere with a ma of 8. 00 kg ocillate at the end of a vertical pring with a pring contant of 2. 40 ✕ 104 N/m. The motion i damped by air reitance, and the damping coefficient i b = 3. 00 N · /m

Answers

The frequency of the damped oscillation is 24.6 Hz

The equation for frequency of the damped oscillation is as follows:

f = (1 / (2 × π)) × √((k - (b² / 4 × m)) / m)

where "π" is a mathematical constant approximately equal to 3.1415, "k" is the spring constant, "m" is the mass of the sphere, and "b" is the damping coefficient.

f = (1 / (2 × π)) × √((2.4×10⁴ N/m - (3.00 Ns/m² / 4 × 8.00 kg)) / 8.00 kg)

f = (1 / (2 × π)) × √((2.4×10⁴ N/m - (3.00 Ns/m² / 4 × 8.00 kg)) / 8.00 kg)

f = (1 / (2 × π)) × √((2.4×10⁴ N/m - (3.00 Ns/m² / 4 × 8.00 kg)) / 8.00 kg)

f = (1 / (2 × π)) × √(24000 - (3/32)) N/kg

f = (1 / (2 × π)) × √(23997) N/kg

f = (1 / (2 × π)) × 153.26 N/kg

f = 24.6 Hz

Therefore, the frequency of the damped oscillation is 24.6 Hz

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Your question seems to be missing, but I suppose the question was:

"A metal sphere with a mass of 8. 00 kg oscillate at the end of a vertical spring with a spring constant of 2. 40 ✕ 10^4 N/m. The motion is damped by air resistance, and the damping coefficient is b = 3. 00 Ns/m. Calculate the frequency of the damped oscillation."

The percentage of body weight that is made up of fat when compared to your other tissue, bone and muscles.

Answers

The percentage of body weight that is made up of fat when compared to your other tissue, bone and muscles is called body composition.

Body composition refers to the proportion of fat, muscle, bone, and other types of tissue in the body. It is often expressed as a percentage of body weight that is made up of fat. Body composition can be measured using various methods such as skinfold thickness measurements, bioelectrical impedance, and dual-energy x-ray absorptiometry (DXA).

A healthy body composition is generally considered to be one with a low percentage of body fat and a high percentage of muscle mass. It is important to note that body composition is not the same as body weight, as two individuals can weigh the same but have very different body compositions. An imbalance in body composition can lead to health issues such as obesity and increased risk of chronic diseases. Regular exercise and a healthy diet can help to maintain a healthy body composition.

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Help Needed
What is the M.A. (Mechanical Advantage) of a screwdriver with a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm? Remember that there are 1000.0 mm in 1.0000 m, and while solving the problem show your work of course.

Answers

The mechanical advantage of the screwdriver is 0.208.

How to calculate mechanical advantage?

Mechanical advantage is the ratio of the output force produced by a machine (especially a simple machine) to the applied input force.

The efficiency of a simple machine is determined by calculating their mechanical advantage (MA). Mechanical advantage is a measure of the force amplification attained by the machine.

According to this question, the screwdriver has a radius from the center to the outermost edge of the tip of 50.0 mm, and the radius of the handle of 240 mm. The mechanical advantage can be calculated as follows:

M.A = 50/240

M.A = 0.208

Therefore, 0.208 is the mechanical advantage of the simple machine.

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in an electric generator a turning loop of wire placed between two permanent magnets causes electromagnetic induction in the wire. which sentence best explains the effect of the turning loop of wire in an electric generator.

Answers

The magnetic field between the magnets causes the charged particles within the wire to move.

Option D is correct

What is a magnetic field?

A magnetic field is described as a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

Faraday's law of electromagnetic induction sates that whenever their is a relative motion of a conductor is magnetic field, an emf will be induced in the conductor and the strength of the induced emf is directly proportional to the rate of change of magnetic flux linking the circuit.

Therefore,  motion of the electrons is due to magnetic field created by the permanent magnet of the electric generator.

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Complete question:

In an electric generator a turning loop of wire placed between two permanent magnets causes electromagnetic induction in the wire. which sentence best explains the effect of the turning loop of wire in an electric generator.

A. The magnets cause charged particles within the wire to move as the poles of the magnets switch.

B. The moving electrons flow from the permanent magnets into the loop of wire.

C. The magnetic field of each magnet attracts the metal in the moving loop of wire.

D. The magnetic field between the magnets causes the charged particles within the wire to move.

Discribe the phrase "like dissolves like" in terms of polarity.

Answers

The phrase "like dissolves like" can be described as the compounds which have similar nature dissolve in each other that is polar dissolves polar and non-polar dissolves non-polar molecules.

What is Polarity?

Polarity is the separation of electric charge which is leading to a molecule or the chemical groups which are having an electric dipole moment, with a negatively charged end and a positively charged end as well. Polar molecules are the molecules which must contain one or more polar bonds which occur due to a difference in the electronegativities between the bonded atoms of the molecule.

A simple way to predict the compounds which will dissolve in other compounds is the phrase of the compound such as "like dissolves like". This means that the polar compounds dissolve in polar compounds, and the nonpolar compounds dissolve in nonpolar compounds, however, the polar and nonpolar molecules do not dissolve in each other.

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Convert 800 km per hour to m/s.

Answers

Answer:

222.222m/s

Explanation:

Convert 800 km per hour to m/s

[tex] \frac{800km}{hr \\ } = \frac{800 \times 1000m}{60 \times 60sec} [/tex]

[tex] \frac{8 \\ 00000m}{3600s} [/tex]

[tex] = 222.22222 m {s}^{ - 1} [/tex]

i hope this helps

A concave mirror has a focal length of 18 cm. This mirror forms an image located 54 cm in front of the mirror. What is the magnification of the mirror? (Include the sign.)

Answers

magnification m = -v/u  = -2

Concave mirrors can generate both real and virtual images. A virtual, magnified image of the object is produced when the concave mirror is positioned very near to it.

As the distance between the object and the mirror increases, the size of the image decreases and real images are produced. When an object's distance is less than the focal length in a concave mirror, the magnification will be higher than one. When the object's distance exceeds the focal length, the magnification is less than one.

Given focal length f = 18 cm

image distance v = 54 cm

then from lens equation

(1/f) = (1/u)+(1/v)

(1/18) = (1/u)+(1/54)

-(1/u) = (1/54)-(1/18)

object distance u = (18*54)/(18-54) = 27 cm

magnification m = -v/u = (-54)/(27) = -2

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A car accelerates uniformly from rest and
reaches a speed of 17.9 m/s in 9.6 s. The
diameter of a tire is 38 cm.
Find the number of revolutions the tire
makes during this motion, assuming no slip-
ping.
Answer in units of rev.

Answers

Answer:

Below

Explanation:

Find distance vehicle travels during this acceleration

d = vo t + 1/2 a t^2    

   a = change in velocity / change in time = 17.9/9.6 = 1.86458 m/s^2

   vo = 0    ( it starts from rest )

then  d = 1/2 ( 1.86458)* 9.6^2 = 85.92  meters

Now divide by the tire circumference to get the number of revs

     85.92 m / ( .38 m * pi )/rev = ~  71.97 revs

Answer: 64.5 rev. ✅

Explanation: The diameter of the tire is 38cm and the car accelerates uniformly from rest to reach a speed of 17.9m/s in 9.6s. The distance covered by the tire can be calculated by using the formula: distance = speed x time.

The distance covered by the tire is 17.9 x 9.6 = 171.84 meters. But when we convert it centimeters it is 17184 cm

The distance covered by the tire is equal to the circumference of the tire, which is equal to 2πd (d is the diameter of the tire). So we can calculate the number of revolutions by dividing the distance covered by the tire by the circumference of the tire.

Number of revolutions = distance covered / Circumference of the tire = 17184/ (2 x π x (38/100)) = 64.5 ✅

how does conductance change with charge density?

Answers

Smaller ions have greater conductivity than larger ions.

How does conductance change with charge density?

The molar conductivity is the conductivity per mole: as the concentration grows, so does the number of charge carriers, and hence the conductivity. The molar conductivity would be constant if the quantity of ions scaled perfectly with the concentration of electrolyte.

However, the conductivity per ion decreases because ions do not act as totally independent charge carriers: they combine, and the rate at which they combine increases as the number of ions increases. This behavior leads to Kohlrausch’s Law (the law you mentioned at the beginning of your query), which is only applicable for strong (completely dissociated) electrolytes.

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What would probably happen if you tried to bake bread without using yeast?Why?

Answers

The thing that will  probably happen if you tried to bake bread without using yeast is that dough may not rise as tall as you're used to because of the lackof the yeast composition in the dough.

What occurs if yeast is absent?

Lemon juice and baking soda mixed in equal parts can be used as a substitute for yeast. So, if a recipe calls for 1 teaspoon of yeast, you can use 1/2 teaspoon each of baking soda and lemon juice. Remember that the dough will start rising immediately, and the bread won't need to prove for the usual amount of time.

You could find that your dough doesn't rise as much as usual and that the flavor and texture are different. However, these alternatives are definitely worth investigating if you run out of yeast, don't have time to wait for bread to rise, or are attempting to eliminate yeast from your diet for health reasons.

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a light bulb is 40% efficient. if it is supplied with 1000 joules of electrical energy, how many joules of light does it emit

Answers

The amount of energy emitted by the light bulb is 600J.

How to calculate efficiency?

Efficiency is the extent to which a resource is used for the intended purpose; the ratio of useful work to energy expended.

According to this question, a light bulb is 40% efficient. If it is supplied with 1000 joules of electrical energy, the amount of energy emitted can be calculated as follows:

40% of 1000J = 400J of energy used.

This means that 1000J - 400J = 600J of energy will be emitted.

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IM SO CONFUSED

A billiards player hits the 0.17 kg cue ball so that it travels towards the stationary 0.16 kg 8-ball with a speed of 0.48 m/s. If the cue ball stops after the collision, what is the resulting speed of the 8-ball? What is the change in momentum of the cue ball? What is the change in momentum of the 8-ball?

Answers

In accordance with the conservation of momentum law the 8-ball's final speed after a collision is 0.51 m/s.

The momentum, what is it?

momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both direction and magnitude.

Given data :

Mass of cue ball(m1) = 0.17 kg

Mass of 8-ball(m2) = 0.16 kg

Initial speed of cue ball (u1) = 0.48 m/s

Initial speed of 8-ball (u2) = 0 m/s

Final speed of cue ball (v1) = 0 m/s

Final speed of 8-ball (v2) = v2 m/s

The total momentum before and after a collision is equal, according to the conservation law of momentum.

Hence,

m1u1 + m2u2 = m1v1 + m2v2

0.17 × 0.48 + 0.16 × 0 = 0.17 × 0 + 0.16 × v2

0.0816 + 0 = 0 + 0.16v2

0.0816 / 0.16 = v2

0.51 m/s = v2

v2 = 0.51 m/s

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What does MLA 9 in-text citation look like?

Answers

MLA 9 in-text citation looks like: (Burke 3); (Best and Marcus 9); (Franck et al. 327).

In MLA 9th edition, in-text citations will be:

If there is only 1 author or no author; we only need the author's last name and the page number. As an example: (Burke 3).If there are 2 authors; we need to connect both authors' last names with and, and include the page number. As an example: (Best and Marcus 9).If there are 3 or More Authors; we have to use the first author's last name and et al., and include the page number. As an example: (Franck et al. 327)

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Please show your complete solution of these questions.
(THOSE WHO ANSWERED WITH COMPLETE STEPS WILL BE MARKED AS BRAINLIST)

Answers

Answer:

11520

Explanation:

6.4×1800 wich is kw × 30 minutes in seconds

Bill bye the science guy motion worksheet

Answers

where’s the work sheet?

What is globalization

Answers

Answer: the process by which businesses or other organizations develop international influence or start operating on an international scale.

Explanation:

Answer:

Globalization is the free movement of goods, services and people across the world in a seamless and integrated manner. Globalization can be thought of to be the result of the opening up of the global economy and the concomitant increase in trade between nations.

hope that helps

A Physical Education (gym) class is playing a game of soccer. During the game, the ball experiences a net force of 0 newtons. Which statement explains what is most likely happening with the ball?

Answers

When the ball experiences a net force of 0 newtons, its state of motion remains unchanged, that is, it will remain in rest or will move with same speed in same direction.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

As  the ball experiences a net force of 0 newtons, it experiences balanced force and its state of motion remains unchanged.

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Imagine that you are a skeptic of Alfred Wegener. Write a one-paragraph statement to criticize his work. Your criticism must include challenges about:
Why could the continents NOT possibly move the way Wegener is describing?
How the fossils could naturally be located in the places Wegener found them, without the continents moving.
Why Wegener is not qualified to be proposing theories in the fields of geology and Earth history.

Answers

Inability of Wegener to provide adequate explanation of the forces responsible for continental drift and prevailing belief that the earth was solid and immovable resulted in scientific dismissal of his theories.

Why could the continents not move the way Wegener is describing?

The primary reason that Wegener's hypothesis could not be accepted was because he suggested no mechanism for the moving of continents. He thought that the force of Earth's spin was sufficient enough to cause continents to move, but geologists knew that rocks are too strong for this to be true.

Wegener is not qualified to propose theories in the fields of geology and  history of Earth because there was no mechanism available to endorse his proposals and offer convincing and truthful explanation.

The fossils could naturally be located in the places Wegener found them because fossils are mostly found where sedimentary rocks of the right age are exposed, such as river valleys, cliffs and hillsides.

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A 15. 0-kilogram mass is moving at 7. 50 meters per second on a horizontal, frictionless surface. What is the total work that must be done on the mass to increase its speed to 11. 5 meters per second?.

Answers

The total work required to increase the speed of the mass to 11.5 meters per second is 67.5 Joules.

What is speed?

Speed is the rate of motion, velocity, or the rate of change of position in a given period of time. It is a measure of how quickly an object or person moves from one place to another. Speed is usually measured in units such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). Speed is an important factor in many sports, such as running, cycling, swimming, and racing. It also plays a role in everyday activities such as driving, walking, and getting around. Speed is a key factor in safety, as it can help people stay ahead of potential risks and hazards.

The total work that must be done on the mass is given by the equation W = F x d,
Where W is the work done,
F is the net force applied,
and d is the displacement.

In this case, the displacement is the change in velocity, or 4.5 meters per second.
The force needed to accelerate the mass to 11.5 meters per second is given by the equation F = m x a,
where m is the mass (15 kilograms) and a is the acceleration (4.5 meters per second2).
Therefore, the total work required to increase the speed of the mass to 11.5 meters per second is W = 15 x 4.5 = 67.5 Joules.

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