How far do you have to lift a 10kg bag of salt to do 250j of work?

Answers

Answer 1

You have to lift the 10kg bag of salt approximately 2.55 meters to do 250J of work.

To determine how far you have to lift a 10kg bag of salt to do 250J of work, we need to use the work-energy theorem and the formula for gravitational potential energy. The work-energy theorem states that the work done on an object is equal to the change in its potential energy. The formula for gravitational potential energy is:

PE = m * g * h

where PE is the potential energy, m is the mass (10kg), g is the acceleration due to gravity (approximately 9.8 m/s²), and h is the height the object is lifted.

Since the work done is 250J, we can set the potential energy equal to the work done:

250J = 10kg * 9.8 m/s² * h

Now, we need to solve for h:

250J = 98 kg*m/s² * h
h = 250J / 98 kg*m/s²
h ≈ 2.55 meters

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Related Questions

TRUE OR FALSE. Displacement tonnage is the weight of the ship, when empty, measured by the weight of the volume of water it displaces.

Answers

True. Displacement tonnage is the weight of a ship when it is empty, measured by the weight of the volume of water it displaces. This is usually expressed in long tons, which is 2,240 pounds.

What is Displacement?

Displacement is a vector quantity which measures the change in position of an object from its starting point. It is the shortest distance between two points and is a measure of how far an object has moved. This quantity is commonly used in physics to describe the motion of objects, as the direction of an object's displacement is in the same direction as its velocity. Displacement can also be interpreted as the difference between an object's initial and final position in a given period of time.


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the latent heat of fusion of a substance is the amount of energy associated with doing which of the following to 1 kg of the substance
A. Buring it completely
B. Raising its temperature 1 c
C. Boiling it at its boiling point
D Melting it at its melting point

Answers

The answer of the question is D

Answer:Boiling at its boiling point

Explanation:

a system containing 1 atm of an ideal gas is doubled in temperature and halved in volume. what is the new pressure?a.2 atm
b.1 atm
c.0.5 atm
d.4 atm

Answers

The new pressure is 4 atm.

What is pressure?

Pressure is the amount of force applied over a given area it is typically measured in unit of Pascal's PA or pounds per square in each PSI pressure can be caused by a variety of factors including the weight of the atmosphere the weight of liquid and the weight of objects is that is important in many physical phenomena including the flow of liquids the transfer of energy and the propagation of sound in general when pressure is increase the volume of the material decrease.

The ideal gas law states that the pressure of an ideal gas is directly proportional to its temperature and inversely proportional to its volume. Thus, when the temperature is doubled and the volume is halved, the pressure is quadruple. Therefore, the new pressure is 4 atm.

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24) A 0.042-kg pet lab mouse sits on a 0.35 kg air-track cart. The cart is at rest, as is a second cart with a mass of 0.25 kg. The lab mouse now jumps to the second cart. After the jump, the 0.35-kg cart has a speed of u1=0.88m/s. What is the speed v2 of the mouse and the 0.25-kg cart? |

Answers

The mass of the mouse, m₁=0.042 kg

The mass of the 1st cart, m₂=0.35 kg

The mass of the second cart, m₃=0.25 kg

The speed of the 1st car after the jump, u₁=0.88 m/s

From the law of conservation of momentum, the momentum of a system should always remain the same.

Before the mouse jumps from one cart to another, all the objects were at rest. Therefore the total momentum of the system was zero.

Thus after the mouse jumps, the total momentum of the system should be equal to zero.

Thus the momentum of the second cart and the mouse will be equal in magnitude to the momentum of the first cart but it will be in the opposite direction.

Thus,

\(m_2u_1=(m_1+m_3)v_2\)

On substituting the known values,

\(\begin{gathered} 0.35\times0.88=(0.042+0.25)v_2 \\ \Rightarrow v_2=\frac{0.35\times0.88}{(0.042+0.25)} \\ =1.05\text{ m/s} \end{gathered}\)

Thus the speed of the mouse and the second cart after the mouse jumps is 1.05 m/s

Suppose we have a 600 kilogram great "yellow" shark swimming to the right at a speed of 3 meters traveled each second as it tries to get lunch. An unsuspecting 100 kilogram blue fin tuna is minding its own business swimming to the left at a speed of 0.5 meters traveled each second. GULP! After the great "yellow" shark "collides" with the blue fin tuna, what is the velocity of the well fed shark?

Answers

Answer:

2.64 m/s

Explanation:

Given that a 600 kilogram great "yellow" shark swimming to the right at a speed of 3 meters traveled each second as it tries to get lunch. An unsuspecting 100 kilogram blue fin tuna is minding its own business swimming to the left at a speed of 0.5 meters traveled each second. GULP! After the great "yellow" shark "collides" with the blue fin tuna

Momentum = MV

Momentum of the yellow shark before collision = 600 × 3 = 1800 kgm/s

Momentum of the tun final before collision = 100 × 0.5 = 50 kgm/s

Total momentum before collision = 1800 + 50 = 1850 kgm/s

Let's assume that they move together after collision. Then,

1850 = ( 600 + 100 ) V

1850 = 700V

V = 1850 / 700

V = 2.64285 m/s

Therefore, the momentum of the shark after collision is 2.64 m/ s approximately

In 1838 botanist Matthias Schleiden determined that all plants are composed of cells. In 1839 anatomist Theodor Schwann proposed that all animals are composed of cells. In 1855 biologists Rudolph Virchow added to Schleiden & Schwann’s observations and proposed that all living things are composed of cells. Which statement is also part of Virchow’s theory? Group of answer choices all cells have a cell wall all cells can develop into any other type of cell all cells come from pre-existing cells all cells are capable of photosynthesis

Answers

Answer:

All cells come from pre-existing cells

Explanation:

Rudolf Virchow, a German Physician, stated the theory that all cells arise from pre-existing cells. He used this theory to explain disease pathology at the cellular level. His work helped clarify that diseases occur not at tissue or organ level, but at the cellular level. This resulted in more accurate diagnosis of diseases by other scientists.

His legacies includes being among the first to use animals in his research, first to name numerous diseases and also the creation of many medical terms still in use today.

Write the calculations of the wavelengths by ° for any two
selected lines from the Balmar series of the spectra of
hydrogen

Answers

The wavelength of the second line in the Balmer series is 304 nm and fourth line is 1093.7 nm.

The Balmer series in the hydrogen spectrum has spectral lines that are in the visible spectrum.

The wavelength is determined using the Balmer-Rydberg equation.

Wavelength for any two selected lines from the Balmer series of the spectra of hydrogen,

1 / λ = R (1/ n₁² - 1/ n₂²)

Where,

λ is the wavelength,

R is the Rydberg constant (1.0974 x 10⁷ m⁻¹),

n₁ and n₂ are integers where n₂ > n₁.

First, let us choose n₁ = 2, which is the second energy level and we will calculate the wavelength of the second line.

n₂ = 3λ = R(1/2² - 1/3²)

λ = R (4/36 - 1/9)

λ = R (1/36) = (1.0974 x 10⁷ m⁻¹) / 36

λ = 3.04 x 10⁻⁷ m = 304 nm

The wavelength of the second line in the Balmer series is 304 nm.

Now, we will calculate the wavelength of the fourth line.

n₂ = 5n₁ = 2λ = R (1/2² - 1/5²)

λ = R (4/100 - 1/25)

λ = R (3/100) = (1.0974 x 10⁷ m⁻¹) / 100 x 3

λ = 1.0937 x 10⁻⁷ m = 1093.7 nm

The wavelength of the fourth line in the Balmer series is 1093.7 nm.

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do larger objects have more thermal energy than smaller objects

Answers

The thermal energy of an object is determined by its mass and temperature, not its size. Larger objects may have more thermal energy if they have a higher mass or temperature, but size alone does not directly correlate with thermal energy.

The thermal energy of an object is related to its mass and temperature. Mass refers to the amount of matter present in an object, while temperature measures the average kinetic energy of the particles within the object. The thermal energy of an object can be calculated using the equation Q = mcΔT, where Q is the thermal energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.

While larger objects may have more mass, which can contribute to higher thermal energy, it is important to consider the temperature as well. A smaller object with a higher temperature can have more thermal energy than a larger object with a lower temperature. Size alone does not determine the amount of thermal energy an object possesses.

Therefore, when comparing the thermal energy of objects, it is crucial to consider both mass and temperature rather than focusing solely on size.

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The power in an electrical circuit is given by the equation P= RR, where /is
the current flowing through the circuit and Ris the resistance of the circuit.
What is the power in a circuit that has a current of 0.02 amps and a
resistance of 30 ohms?

Answers

Equation of power in a electrical circuit is given as:

\( \bf P = I^2R\)

I → Current flowing through the circuit.

R → Resistance of the circuit

We need to calculate power when;

Current (I) = 0.02 A

Resistance (R) = 30 Ω

By substituting values in the equation, we get:

\( \rm \longrightarrow P = (0.02)^2 \times 30 \\ \\ \rm \longrightarrow P = 0.0004 \times 30 \\ \\ \rm \longrightarrow P = 0.012 \: W\)

\( \therefore \) Power in the circuit = 0.012 W

PLEASE HURRY!

Zach listed the process of how laser beams are produced with crystals.

A flashlamp pumps energy through the crystal.
Atoms in the crystal absorb and then release some of the energy as light.
Light bounces off mirrors and occasionally bounces off crystal atoms, increasing in energy.
Some light escapes the tube through the highly reflective mirror, forming a concentrated beam.

Which best describes Zach’s error?

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal.
The atoms in the crystal do not release energy; they only absorb energy.
Light does not bounce off mirrors; it focuses through glass lenses.
Light escapes through the partially reflective mirror, not the highly reflective mirror.

Answers

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal best describes Zach’s error.

What is a laser?

A device that uses stimulated emission of photons from excited atoms or molecules to produce a strong beam of coherent monochromatic light is a laser.

When electrons in optical materials like glass, crystal, or gas absorb energy from an electrical current or light, a laser is formed.

The increased energy excites the electrons, causing them to migrate from a lower-energy orbit around the nucleus to a higher-energy orbit.

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal. This statement is incorrect.

Hence Option A best describes Zach’s error.

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Answer:

D. Light escapes through the partially reflective mirror, not the highly reflective mirror.

Explanation:

edge 2022, I took the test.

Which characteristic describes an organism of Kingdom Animalia when compared to plants?
A) It is able to move on its own.
B) Sunlight is used to make its own food.
C) Water is not needed for survival.
D) It does not need sunlight to survive.

Answers

Answer:

A

Explanation:

Because plants cant move and animals can.

The characteristic which describes an organism of kingdom Animalia is able to move on its own when compared to the plants kingdom. Thus, the correct option is A.

What are the characteristics of Animalia Kingdom?

Animals are the multicellular, eukaryotic organisms in the biological kingdom Animalia. Animals are the organisms which consume organic material, breathe oxygen gas, are able to move on their own, can reproduce sexually and produce organisms which contain genetic information which is recombination of both the parents, and these organisms go through an ontogenetic stage in which their body consists of a hollow sphere of the cells, the blastula, during the embryonic development of organisms.

Organisms belong to Animal kingdom show some characteristics which are not found in the organisms which belong to the plant kingdom including movement. Animals can move on their own while plants cannot.

Therefore, the correct option is A.

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A room that is kept at the same temperature year-round feels warm to someone who comes in from outside during the winter and cool to someone who comes in from outside during the summer. Explain how this can be true.

Answers

Answer:

its warmer than outside in winter and its colder than outside in summer

Explanation:

The perception of warmth or coolness is relative to the temperature difference between the body and the environment. Even though the temperature inside the room remains constant year-round, the relative temperature difference between the environment outside and the room can cause a subjective sensation of warmth or coolness.

What is temperature?

Temperature is a physical quantity that measures the degree of hotness or coldness of a body or a substance. It is a scalar quantity, which means it has only a magnitude and no direction.

The SI unit of temperature is the Kelvin (K), but the temperature is commonly measured in degrees Celsius (°C) or degrees Fahrenheit (°F) as well.

The temperature difference is the numerical value of the difference between the temperatures of two objects or substances. It represents the amount of heat that flows from one object to another due to the temperature gradient between them. The temperature difference is also a scalar quantity, and its unit is usually expressed in degrees Celsius or Kelvin.

The temperature difference is important in many areas of science and engineering, including thermodynamics, heat transfer, and meteorology. It is also used to measure the efficiency of heating and cooling systems, such as air conditioners and refrigerators.

Here in this question,

This phenomenon occurs due to the relative difference in temperature between the environment outside and the temperature inside the room. The feeling of warmth or coolness is a subjective sensation that depends not only on the actual temperature but also on the difference in temperature between the person's body and their surroundings.

During the winter, the temperature outside is generally colder than the temperature inside the room which is kept at a constant temperature. When a person comes into the room from the cold outside, their body temperature is lower than the room temperature, so they feel warmer inside the room. This is because the heat from the warm room transfers to the person's body, raising their body temperature and making them feel warmer.

On the other hand, during the summer, the temperature outside is usually warmer than the temperature inside the room. When a person comes into the room from the hot outside, their body temperature is higher than the room temperature, so they feel cooler inside the room. This is because the heat from the person's body transfers to the cooler room, lowering their body temperature and making them feel cooler.

Therefore, the relative temperature difference between the environment outside and the room can cause a subjective sensation of warmth or coolness.

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Match each vocabulary word with appropriate definition. chemical property chemical change reactivity combustibility

Answers

Answer:

1.) Chemical Change - a change in matter that results in a change in its identity and properties

2.) Combustibility - the ability of a substance to burn

3.) Reactivity - The ability of a substance to combine Chemically with another

4.) Chemical Property - the ability of matter to change into a different substance

Explanation:

Proof: -Image Below & the definitions for each word-

Chemical Change- Chemical changes occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances. ... An example of a chemical change is the reaction between sodium and water to produce sodium hydroxide and hydrogen.

Combustibility- Combustibility is a measure of how easily a substance bursts into flame, through fire or combustion. This is an important property to consider when a substance is used for construction or is being stored. It is also important in processes that produce combustible substances as a by-product.

Reactivity- In chemistry, reactivity is the impetus for which a chemical substance undergoes a chemical reaction, either by itself or with other materials, with an overall release of energy.

Chemical Property- A chemical property is any of a material's properties that becomes evident during, or after, a chemical reaction; that is, any quality that can be established only by changing a substance's chemical identity. ... They can also be useful to identify an unknown substance or to separate or purify it from other substances.

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Match each vocabulary word with appropriate definition. chemical property chemical change reactivity

Chemical change - A change in a substance that brings a change in its identity and properties

Combustibility - The ability of a substance to bursts into the combustion

Reactivity - The ability of a matter to chemically combine with others.

Chemical Property - The ability of a substance to change into a completely different substance.

What are chemical properties, chemical change, reactivity, and combustibility?

Chemical changes take place when a substance combines with another substance to create a new substance, called chemical synthesis. An example of a chemical change is the formation of sodium hydroxide and hydrogen by the reaction between sodium and water.

Combustibility determines how easily a substance can burst into flame, through combustion. The combustibility is a property to consider when a substance is used for storage or for construction. It is also an important property in processes where the formation of combustible substances is a side product.

In chemistry, reactivity is the property of a chemical substance that undergoes a chemical reaction with itself or with other chemicals,  and the overall release of energy.

Chemical properties are the characteristics of a particular substance that can be noticed during a chemical reaction. Some major chemical properties include heat of combustion, flammability, rate of radioactive decay, toxicity, pH value, and chemical stability.

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A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 8.0 m from the takeoff point.

If the kangaroo leaves the ground at a 22˚ angle, what is its takeoff speed?
What is its horizontal speed?

Answers

The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.

What is the sound's velocity?

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.

Briefing:

The following equation relates the distance to the direction and initial velocity:

d = [v₀²sin2θ]/g, where θ – the angle of the jump.

Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62

v₀ = 10.65 m/s ( the take off speed).

The horizontal velocity equals:

vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s

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suppose a small child rolls off a bed that is 0.57 m above the floor. if the floor is hardwood, the child's head is brought to rest in approximately 2.1 mm. if the floor is carpeted, this stopping distance is increased to about 1.4 cm. calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury.

Answers

To calculate the magnitude and duration of the deceleration, we need to know the initial velocity of the child and the stopping distance. The initial velocity of a freely falling object can be calculated using the equation:

v = sqrt(2gh), where g is the acceleration due to gravity (9.8 m/s^2), and h is the height.

In this case, h = 0.57 m, so the initial velocity can be calculated as follows:

v = sqrt(2 * 9.8 * 0.57)

v = 2.38 m/s

Now we have the initial velocity, we can calculate the magnitude and duration of the deceleration in both cases.

Case 1: Hardwood floor

The stopping distance can be calculated using the equation:

d = v^2 / (2a), where v is the initial velocity and a is the deceleration.

Setting the stopping distance equal to 2.1 mm and solving for a, we get:

a = v^2 / (2d)

a = (2.38 m/s)^2 / (2 * 0.0021 m)

a = 68 m/s^2

The duration of the deceleration can be calculated as follows:

t = v / a

t = 2.38 m/s / 68 m/s^2

t = 0.0349 s

Magnitude of the deceleration: 68 m/s^2

Duration of the deceleration: 0.0349 s

Case 2: Carpeted floor

The stopping distance can be calculated using the equation:

d = v^2 / (2a), where v is the initial velocity and a is the deceleration.

Setting the stopping distance equal to 1.4 cm and solving for a, we get:

a = v^2 / (2d)

a = (2.38 m/s)^2 / (2 * 0.014 m)

a = 12 m/s^2

The duration of the deceleration can be calculated as follows:

t = v / a

t = 2.38 m/s / 12 m/s^2

t = 0.198 s

Magnitude of the deceleration: 12 m/s^2

Duration of the deceleration: 0.198 s

The magnitude of the deceleration in the first case (hardwood floor) is much greater than in the second case (carpeted floor), indicating a higher risk of injury for the child in the first case. However, the duration of the deceleration is much shorter in the first case, which might result in a less severe injury. The duration of the deceleration is also much longer in the second case, indicating a lower risk of injury.

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consider a steam engine whose working fluid always stays within the quality range of 0.0 to 1.0. the system operates between the pressure limits of 6.8 mpa and 1.21 mpa. if heat is supplied to the engine at a rate of 250 kw, what is the maximum power that could be produced by the engine?

Answers

The maximum power that could be produced by the steam engine is approximately 88.2 kW. The maximum power that could be produced by the steam engine can be calculated using the thermodynamic equation for the efficiency of a Carnot cycle, which is given by:

η = (T₁ - T₂) / T₁

where η is the efficiency, T₁ is the temperature of the heat source, and T₂ is the temperature of the heat sink. In this case, the heat source temperature is unknown, but we can find it using the saturation temperature at the pressure of 6.8 MPa, which is approximately 364°C. Similarly, the temperature at the heat sink pressure of 1.21 MPa is approximately 191°C.

Using the efficiency equation and the given heat input rate of 250 kW, we can calculate the maximum power output of the steam engine as:

P max = η * Qin

where P max is the maximum power output and Qin is the heat input rate. Plugging in the values, we get:

P max = η * 250 kW = (364 - 191) / 364 * 250 kW ≈ 88.2 kW

Therefore, the maximum power that could be produced by the steam engine is approximately 88.2 kW.

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find the magnitude and direction of the instantaneous velocity at t = 0, t = 1.0 s, and t = 2.0s

Answers

Magnitude and direction of the instantaneous velocity  at t = 0, t = 1.0 s, and t = 2.0s

To find the magnitude and direction of the instantaneous velocity at t = 0, t = 1.0 s, and t = 2.0s, you would first need to provide the function that describes the motion of the object. The function could be in the form of position (displacement) as a function of time or velocity as a function of time. Once the function is given, we can find the instantaneous velocity at the specified times and determine their magnitudes and directions.

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what is the correct tight asymptotic bound for T(n) in 1,2,3 where T(1)=c ?
T(n) = 10T(n/10)+100n
T(n) =T(n/10)+100n
T(n) = T(n/10)+100

Answers

The correct tight asymptotic bound for T(n) in 1, 2, 3 where T(1)=c is Θ(n log n).

To find the tight asymptotic bound of T(n), we will use the Master Theorem. So, let's take a look at each recurrence relation:

1. T(n) = 10T(n/10)+100nApplying the Master Theorem: a = 10, b = 10, f(n) = 100nlogb a = log10 10 = 1 Since f(n) = Θ(n) = Θ(n1), Case 2 of the Master Theorem applies. The solution, therefore, is Θ(n log n).

2. T(n) = T(n/10)+100n Here, a = 1, b = 10, f(n) = 100nlogb a = log10 1 = 0 Since f(n) = Θ(n0) = Θ(1), Case 1 of the Master Theorem applies. The solution, therefore, is Θ(n).

3. T(n) = T(n/10)+100 Here, a = 1, b = 10, f(n) = 100logb a = log10 1 = 0 Since f(n) = Θ(1) = Θ(n0), Case 2 of the Master Theorem applies. The solution, therefore, is Θ(log n).Therefore, the correct tight asymptotic bound for T(n) in 1, 2, 3 where T(1)=c is Θ(n log n).

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Let's use the Master Theorem to find the asymptotic tight bound for each of the three recurrence relations given in the problem statement.

1. T(n) = 10T(n/10) + 100n Here, a = 10, b = 10, and f(n) = 100n. We can calculate the value of logb a as follows: log10 10 = 1 Since f(n) = Θ(n1), we can apply Case 2 of the Master Theorem and get: T(n) = Θ(n log n)Therefore, the correct tight asymptotic bound for T(n) in the first case is Θ(n log n).

2. T(n) = T(n/10) + 100n Here, a = 1, b = 10, and f(n) = 100n. We can calculate the value of logb a as follows: log10 1 = 0 Since f(n) = Θ(n1), we can apply Case 1 of the Master Theorem and get: T(n) = Θ(n)Therefore, the correct tight asymptotic bound for T(n) in the second case is Θ(n).

3. T(n) = T(n/10) + 100 Here, a = 1, b = 10, and f(n) = 100. We can calculate the value of logb a as follows: log10 1 = 0 Since f(n) = Θ(1), we can apply Case 2 of the Master Theorem and get: T(n) = Θ(log n) Therefore, the correct tight asymptotic bound for T(n) in the third case is Θ(log n). Hence, the three asymptotic tight bounds for T(n) are Θ(n log n), Θ(n), and Θ(log n), respectively.

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disordered eating is often __________.

A.

an eating disorder that affects numerous teens

B.

caused by eating irregularly over short periods

C.

a precursor for developing a disorder, but not a disorder on its own

Answers

Answer:

B) caused by eating irregularly over short periods

Explanation:

Disordered eating refers to a range of irregular and unhealthy eating behaviors and attitudes toward food. Disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own

Disordered eating refers to a range of irregular eating behaviors and attitudes towards food that may not meet the full diagnostic criteria for an eating disorder but still involve disturbances in eating patterns, body image, and weight. It can include behaviors such as restrictive eating, binge eating, purging, or excessive exercise.

While disordered eating shares similarities with eating disorders, it is considered a precursor or warning sign that someone may be at risk of developing a diagnosable eating disorder, such as anorexia nervosa, bulimia nervosa, or binge eating disorder. Disordered eating patterns can often progress and become more severe if left untreated, potentially leading to the development of an eating disorder.

Thereofre, disordered eating is often C. a precursor for developing a disorder, but not a disorder on its own.

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Is mechanical energy the result of both kinetic and potential energy?

Answers

Answer:

Yes

Explanation:

Because putting them together would make a type of energy making the answer yes

The answer is: Yes, mechanical energy can be both kinetic and potential energy.

Explanation:

The mechanical energy of an object can be the result of its motion (i.e., kinetic energy) and/or the result of its stored energy of position (i.e., potential energy).

The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy. This sum is simply referred to as the total mechanical energy.

Two cars are traveling towards one another. The VW Bug has a mass of 187 kg and its initial velocity is -38 m/s. The compact car has a mass of 702 kg and an initial velocity of 23 m/s. They collide and stick together. How fast does the wreckage move immediately after the collision

Answers

Answer:

10.17 m/s in the direction the compact car was going (+)

Explanation:

Law of conservation of momentum states that total P before the collision must equal total momentum after the collision.

P = mv

solve for v, velocity of the two cars stuck together after the collision:

(187kg)(-38 m/s) + (702kg)(23 m/s) = (187 + 702 kg)v

         momentum before               =   momentum after

-7106 kg·m/s + 16146 kg·m/s = 889 kg(v)

9040 kg·m/s = 889 kg(v)

v = 9040 kg·m/s / 889 kg = 10.17 m/s

now divide the rocket into two stages, each with an empty mass of 100 kg , 400 kg of fuel, and a 2700 m/s exhaust speed. the first stage is released after it runs out of fuel. what is the top speed of the second stage? you'll need to consider how the equation for vmax should be altered when a rocket is not starting from rest.

Answers

Currently, the rocket is composed of two stages, each of which has a mass of 100 kg at empty, 400 kg of fuel, and an exhaust speed of 2700 m/s. Top speed of the second stage will be lower than the exhaust speed of the rocket.

The top speed of the second stage of the rocket can be calculated using the rocket equation, which is given by:

= vmax

= veln(m0/(m0-mdott))

where ve is the exhaust speed, m0 is the initial mass of the rocket (including both the empty mass and the fuel mass), mdot is the mass flow rate of the fuel, and t is the burn time of the rocket.

In this case, the initial mass of the first stage is 100 kg + 400 kg = 500 kg, and the initial mass of the second stage is 100 kg + 400 kg = 500 kg. The mass flow rate of the fuel for both stages is the same, and the burn time for each stage is the same as well. Therefore, the top speed of the second stage can be calculated by substituting these values into the rocket equation:

= vmax

= 2700 m/s * ln(500 kg/(500 kg - 400 kg*t))

The top speed of the second stage will be lower than the exhaust speed of the rocket, because the rocket is not starting from rest and there is some kinetic energy carried over from the first stage. The exact value of the top speed will depend on the burn time of the rocket.

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When coherent (all in phase), monochromatic (single color or frequency) light passes through a pair of slits, one observes a pattern of dark and bright bands on a screen. When you increase the number of slits, much more light makes it through the openings and the interference effects become much more pronounced. Thus you get a brighter set of spots and much sharper bright spots. A diffraction grating has a lot of tiny parallel slits. The angle at which you find constructive interference can be determined using the same formula as with Young's Double Slit experiment. The one adjustment is that you need to convert the line density (number of lines per unit length) into the distance between adjacent slits. 1) Suppose you have a diffraction grating which has 400. lines/mm and you shine light with a wavelength of 548 nm through it. What is the angle at which you will observe the second order (m=2) bright fringe? 2) If the screen is 2.20 m away from the diffraction grating, what is the distance on the screen between the bright central and the second order bright fringe?

Answers

The distance between the bright central and the second order bright fringe is 0.096 m.

The angle at which the second order (m=2) bright fringe will be observed can be calculated using the formula: θ = mλ/d, where θ is the angle, λ is the wavelength of light, d is the distance between adjacent slits, and m is the order of the bright fringe. Converting the line density from lines/mm to distance between adjacent slits, we get d = 1/400 x 10^-3 m = 2.5 x 10^-6 m. Substituting the values, we get θ = 2 x 548 x 10^-9 m / 2.5 x 10^-6 m = 0.244 radians.

The distance between adjacent bright fringes on the screen can be calculated using the formula: y = mλL/d, where y is the distance between adjacent bright fringes on the screen, L is the distance between the diffraction grating and the screen, and all other variables have their previous meaning. Substituting the values, we get y = 2 x 548 x 10^-9 m x 2.20 m / 2.5 x 10^-6 m = 0.096 m.

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Which of the following changes will increase current?
OA. Decreasing power
OB. Increasing volume
OC. Increasing resistance
OD. Increasing voltage

Answers

Option D
Increasing voltage





when something is painted red, what color is most absorbed?

Answers

When something is painted red, the color that is most absorbed is green.

Color perception is based on the reflection and absorption of light. Different colors correspond to different wavelengths of light. When an object appears red, it means that it is reflecting light primarily in the red wavelength range and absorbing other wavelengths.In the case of red objects, they appear red because they selectively absorb light in the blue and green wavelength ranges while reflecting light in the red wavelength range. The red pigment or dye used in the paint absorbs the complementary color, which is green. As a result, the green light is mostly absorbed by the object, while the red light is reflected, giving the object its red appearance.Therefore, when something is painted red, it means that it absorbs the color green the most.

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If you go out at exactly 9 p.m. each evening over the course of 1 month, the position of a given star will move westward by tens of degrees. what causes this motion?

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The westward motion of a given star observed at the same time each evening over the course of a month is caused by the rotation of the Earth on its axis. This apparent motion is known as diurnal motion and is a result of Earth's rotation.

The Earth rotates on its axis from west to east, completing one full rotation in approximately 24 hours. As a result, celestial objects such as stars appear to move across the sky from east to west. This motion is observed due to the rotation of the Earth and is responsible for the apparent westward shift of the star's position each evening.

The movement of stars from east to west is a consequence of the Earth's rotation causing different stars to come into view as the night progresses. As the Earth rotates, the observer's position changes relative to the stars, leading to the perception of the stars moving across the sky. Over the course of a month, the westward motion of the observed star becomes noticeable as it appears to shift its position by tens of degrees due to Earth's rotation.

Therefore, the westward motion of the star observed at the same time each evening over the course of a month is a result of Earth's rotation on its axis.

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Which climate favors mechanical weathering?

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Cold climate favors rapid mechanical weathering, since the cold seasons cause the rock to contract.

What is mechanical weathering and what climate they favour?

Mechanical weathering, sometimes referred to as physical weathering and disaggregation, causes rocks to break down. Water, whether liquid or solid, is usually present during mechanical weathering. For instance, liquid water can seep through fractures and fissures in rock.

Cold climates promote mechanical weathering because they force rocks to contract and compress during the colder months. The rocks degrade and break at higher temperatures. Temperature fluctuations cause the expansion and contraction of rock (with cold). As this continues repeatedly, the structure of the rock deteriorates. It breaks down over time.

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A pendulum is swinging in a circular path at angle θ and string length L. What is the tension in the string? Use m, g, and θ. Your answer should have m, g, θ, and a trig function. Your answer will be T=.

What is the centripetal acceleration? Your answer will have g, θ, and 1 or 2 trig functions. Your answer will be \(a_{c}\)=.

A pendulum is swinging in a circular path at angle and string length L. What is the tension in the string?

Answers

Answer:

T = mg / cos θ

ac = g tan θ

Explanation:

Draw a free body diagram. There are two forces acting on the pendulum bob. A tension force T acting θ from the vertical, and gravity pulling down.

Sum the forces in the y direction:

∑F = ma

T cos θ − mg = 0

T = mg / cos θ

Sum the forces in the centripetal direction (towards the center).

∑F = ma

T sin θ = m ac

ac = T sin θ / m

Substitute for tension T:

ac = (mg / cos θ) sin θ / m

ac = (mg / m) (sin θ / cos θ)

ac = g tan θ

a 22 g particle is moving to the left at 13 m/s . how much net work must be done on the particle to cause it to move to the right at 37 m/s ?

Answers

To cause the particle to move to the right at 37 m/s, the direction of its velocity must be changed, which means that work must be done on the particle.

The net work required can be calculated using the work-energy theorem, which states that the net work done on an object is equal to the change in its kinetic energy.  Initially, the particle has a kinetic energy of (1/2)mv^2 = (1/2)(0.022 kg)(-13 m/s)^2 = 11.23 J.
To move the particle to the right at 37 m/s, its final kinetic energy will be (1/2)(0.022 kg)(37 m/s)^2 = 30.31 J.
Therefore, the net work required is equal to the change in kinetic energy:
net work = final kinetic energy - initial kinetic energy
net work = 30.31 J - 11.23 J
net work = 19.08 J
Thus, a net work of 19.08 J must be done on the particle to cause it to move to the right at 37 m/s.

The magnitude of the vertical velocity rises, but the horizontal velocity remains constant. The Y component determines how a projectile moves. The vertical component of velocity varies depending on whether a projectile is moving up or down, but it is always constant. The projectile is accelerated by gravity. Things fall to the earth faster as a result of gravity. The word "acceleration" describes a change in velocity, which is a calculation of the speed and direction of the motion. When anything falls for a longer period of time, gravity pushes it towards the earth more quickly, increasing its speed.

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If the force each person applies is vertical, what is the magnitude of the force applied by the person above? express your answer with the appropriate units.

Answers

According to the question the force applied by the person above is 1401.4 N.

What is force?

Force is a physical quantity that is a measure of the interaction between objects. It is a vector, which means it has both magnitude and direction. Force is an influence that can cause an object to accelerate, decelerate, change direction, or remain in its current state. It is the result of an interaction between two objects that either attracts or repels them. Examples of forces include gravity, friction, electromagnetic force, and the force of a muscle. Force is a fundamental concept in physics and is necessary for understanding the behavior of matter and its interactions with energy.

The magnitude of the force applied by the person above can be calculated using the equation F = mgsinθ, where m is the mass of the crate (200 kg), g is the acceleration due to gravity (\(9.8 m/s^2\)), and θ is the angle of the stairs (45°).
Therefore, the force applied by the person above is
\((200 kg)(9.8 m/s^2)(sin45^\circ) = 1401.4 N.\)

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If the force each person applies is vertical, what is the magnitude of the force applied by the person
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