The figure shows three objects that are all made of the same material. The forces applied to the three objects all have the same magnitude.

Order the objects according to the shear stress acting on them, from greatest to least.

a) (iii) > (i) = (ii)
b) (i) = (ii) > (iii)
c) (i) > (iii) > (ii)
d) (i) > (ii) = (iii)
e) (i) > (ii) > (iii)

The volume of air in the bottle at the cooler temperature is 1.064 L.

How to calculate volume of air at the cooler temperature?

To solve this problem, we can apply the Ideal Gas Law:

PV = nRT

where P is the gas's pressure, V is its volume, n is the number of moles in the gas, R is the ideal gas constant, and T is its absolute temperature.

Since the bottle is completely flexible, we can assume that the pressure inside the bottle remains constant throughout the process. Therefore, we can set the pressures of the gas at both temperatures equal to each other:

P1V1 = P2V2

where P1 and T1 are the pressure and temperature of the gas at the initial state (when it is hot) and P2 and T2 are the pressure and temperature of the gas at the final state (when it is cool).

We can rewrite this equation to find V2:

V2 = (P1/P2) * V1 * (T2/T1)

where V1 is the gas's initial volume.

Now, we can plug in the values:

V1 = 1.0 L

P1 = P2 (since the bottle is completely flexible)

T1 = 39 °C = 312 K

T2 = 20 °C = 293 K

The ideal gas constant R is 8.31 J/(mol*K), but we do not need to use it here since we are not given the number of moles of gas in the bottle.

Thus, we have:

V2 = (312/293) * 1.0 L = 1.064 L

Therefore, the volume of air in the bottle at the cooler temperature is 1.064 L.

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Work is done on the boxes as we push it around the store and on the piano when we drop it from the third floor  and work is not done on the locked door, on the dishes and on the bowling ball.

The work done is given by the dot product of the displacement and the force,

W = F.d

W = FdcosA, A is the angle at which the force is applied.

In the first scenario, the work is not done on the locked door that remains closed while we try to pull it open on the door as we push against it and open it, because there is no displacement.

Work in not done to pull a tablecloth out from under them and they remain in place on the dishes, because no displacement of the dishes.

Work is done on boxes as we lift them and place them on the shelf on a shopping cart as we push it around the store because displacement happened.

Work is done on the piano when we drop it from the third floor to the ground floor because A = 0 degrees.

Work is not done on the bowling ball that we are holding while waiting for our turn to bowl because A = 90 degrees.

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Given: mass of ice = 30g, specific heat of ice = 336 Jg^-1K^-1, specific heat of water = 4186 Jg^-1K^-1

Let x be the heat energy supplied to melt the ice. Heat energy required to raise the temperature of 30g of ice from 0°C to 0°C (its melting point) is given by: Q1 = mass x specific heat of ice x change in temperature, Q1 = 30g x 336 Jg^-1K^-1 x (0 - 0) = 0 J. Since 80% of the heat supplied completely melts the ice, the remaining 20% of the heat energy supplied is used to raise the temperature of the melted ice (now water) from 0°C to 0°C: Q2 = 0.2 x total heat energy supplied, Q2 = 0.2 x x. The total heat energy supplied is given by: total heat energy supplied = Q1 + Q2, x = (total heat energy supplied - Q1)/0.2, x = (336 Jg^-1K^-1 x 30g - 0)/0.2

x = 201600 J. Therefore, the total heat energy supplied to melt the ice completely to water at 0°C is 201600 J.

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You reach a conclusion regarding your hypothesis after collecting and analyzing data. A conclusion summarizes what you learnt from an experiment. While forming your conclusion, consider if the data supports your theory.

Each step of the scientific method with its description.

1- C ( this is an assumption; a hypothesis is always based on an assumption. After the introductory analysis is complete, construct a hypothesis, or an instructed opinion, on the result of the experiment.

2- F ( this states to share the results with other classmates).It is important to share what you have learned with others. Scientists often find solutions to problems by knowing the results of other scientists' experiments.

3- D (this is a description of an experiment you could conduct; you test a hypothesis (usually) by conducting an experiment. A statistical hypothesis, seldom called affirmative data summary, is a hypothesis that is testable on the foundation of perceiving a method that is formed via a set of arbitrary variables.

4- A (this is something you could observe during the experiment, therefore it is an observation).Scientists use observation to gather and record data, which allows them to assemble and then test hypotheses and assumptions.

5- E (this sentence is a conclusion).After all the data is assembled in a form that associates it to your hypothesis, you can understand it and reach a judgment about the experiment.

6- B (This is an actual question) A question is what someone asks, normally when there is something that he or she does not know. In the article, a question mark comes at the end of a question.

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Full Question ;

Match each step of the scientific method with its description.

Tiles

1. construct a hypothesis

2. communicate the results

3. test the hypothesis

4. make observations

5. analyze the results and

make a conclusion

6. ask questions

Pairs

A. Bread, when kept in the open for a

long time, shows the presence of mold.

B. What causes mold growth on bread?

C. Changes in temperature may affect

the growth of mold on bread.

D. Keep the bread in different locations,

changing the temperature at each location.

E. Increased temperature leads to the

growth of mold.

F. Make a presentation of the data, and

The crossover point is 56,000 miles, rounded to the closest whole number. The total cost of owning the hybrid vehicle and the alternative vehicle is the same at this point.

The formula for the total cost is :

Total Cost = Vehicle Purchase Cost + (Operating Cost per Mile x Miles per Year x Useful Life of Vehicle)/Miles per Gallon x Average Fuel Price per Gallon

For the hybrid vehicle:

Total Cost = $18,000 + ($0.14 x 16,500 x 14)/33 x $3.68 = $47,672.03

For the alternative vehicle:

Total Cost = $20,000 + ($0.10 x 16,500 x 14)/36 x $3.68 = $47,672.22

Solving these two equations for M gives :

$18,000 + ($0.14 x 16,500 x 14)/33 x $3.68 = $20,000 + ($0.10 x 16,500 x 14)/36 x $3.68

M = 55998

If the vehicle's expected mileage exceeds 56,000 miles, the alternative vehicle becomes more cost-effective; if it falls below 56,000 miles, the hybrid vehicle becomes more cost-effective.

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Answer:

Medium - 3. a substance or material in which something exists or occurs

Transverse Waves - 5. waves in which the movement in the medium is perpendicular to the direction the wave is traveling

Surface Waves - 7. a wave that travels on the surface of the water in both transverse and longitudinal motions

Crest - 9. Highest part of the wave

Trough - 10. Lowest part of the wave

Interference - 1. the overlapping of 2 waves having equal amplitude and wavelength

Wave - 2. a disturbance that travels through a medium transporting energy from one location to another location

Amplitude - 8. Height of a wave

Longitudinal Waves - 6. waves in which the movement in the medium is parallel to the direction the wave is traveling

Mechanical Waves - 4. waves that require a medium in which to travel, involves a transfer of kinetic energy from one place to another in the material

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The speed of the 500 g glider just before impact was 0 m/s.

To answer this question, we need to use the equation of conservation of momentum:
Pi = Pf, where P is the momentum and i and f stand for initial and final, respectively.
We can express the momentum of each glider as m*v, where m is the mass of the glider and v is its velocity.
Therefore, m1*v1i + m2*v2i = m1*v1f + m2*v2f
Given the masses of the gliders, we can solve for v1i:
v1i = (m1*v1f + m2*v2f) / m1
Since the spring compressed to a length of 22 cm, the final velocity of both gliders will be 0 m/s, giving us the following equation:
v1i = (500 g * 0 m/s + 250 g * 0 m/s) / 500 g
v1i = 0 m/s

Therefore, the speed of the 500 g glider just before impact was 0 m/s.

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The angular velocity of the fairground ride is 29.19 revolutions/minute..

Angular velocity at which the riders are subjected to a centripetal acceleration of magnitude 1.5g when the radius is 11.2 m can be calculated as follows: Angular velocity formula:ω = v/rwhereω = angular velocity in radians/minute v = linear velocity r = radius of the circular path. The formula for centripetal acceleration is given as follows: a_c = v^2/rr = 11.2 mLet a = 1.5g = 1.5 x 9.81 m/s^2 = 14.715 m/s^2v^2/r = a_c => v^2 = a_c x rv^2 = 14.715 x 11.2v = √(14.715 x 11.2) = 10.81 m/sω = v/r = 10.81/11.2 = 0.966 rad/sThe angular velocity of the fairground ride is 0.966 rad/s. Now, converting radians/second to revolutions/minute as follows:1 revolution = 2π radiansω = 0.966 x 60/2π = 29.19 revolutions/minute. Hence, the angular velocity of the fairground ride is 29.19 revolutions/minute.

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When the magnets snap together, the kinetic energy of their motion is transformed into potential energy as they become magnetically attached.

This can be seen as an increase in the temperature of the magnets due to the friction produced as they come together. Additionally, sound waves are produced that are evidence of the energy being transformed from kinetic to potential.

When two magnets with opposite poles facing each other are held close to each other but not touching and released, the kinetic energy of their motion is transformed into potential energy as they become magnetically attached. This can be seen as an increase in the temperature of the magnets due to the friction produced as they come together, as well as sound waves that are evidence of the energy transformation.

What is Energy?

Energy is the ability to do work. It exists in many forms, such as kinetic, potential, thermal, electrical, chemical, and nuclear energy. It can be transferred from one form to another, and can be converted into other forms of energy.

What is Kinetic Energy?

Kinetic energy is the energy of motion. It is the energy of an object due to its movement, and can be calculated by taking the mass of the object and multiplying it by the square of its velocity.

What is Potential Energy?

Potential energy is the energy that an object has due to its position or configuration. It is the energy stored in an object as a result of its position relative to other objects, and can be converted into other forms of energy.

Energy is the ability to do work, and exists in many forms such as kinetic, potential, thermal, electrical, chemical, and nuclear energy. Kinetic energy is the energy of motion, while potential energy is the energy stored in an object due to its position relative to other objects. These two forms of energy can be converted into other forms, and can be used to do work.

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When the magnets snap together, the kinetic energy of their motion is transformed into potential energy as they become magnetically attached.

This can be seen as an increase in the temperature of the magnets due to the friction produced as they come together. Additionally, sound waves are produced that are evidence of the energy being transformed from kinetic to potential.

When two magnets with opposite poles facing each other are held close to each other but not touching and released, the kinetic energy of their motion is transformed into potential energy as they become magnetically attached. This can be seen as an increase in the temperature of the magnets due to the friction produced as they come together, as well as sound waves that are evidence of the energy transformation.

What is Energy?

Energy is the ability to do work. It exists in many forms, such as kinetic, potential, thermal, electrical, chemical, and nuclear energy. It can be transferred from one form to another, and can be converted into other forms of energy.

What is Kinetic Energy?

Kinetic energy is the energy of motion. It is the energy of an object due to its movement, and can be calculated by taking the mass of the object and multiplying it by the square of its velocity.

What is Potential Energy?

Potential energy is the energy that an object has due to its position or configuration. It is the energy stored in an object as a result of its position relative to other objects, and can be converted into other forms of energy.

Energy is the ability to do work, and exists in many forms such as kinetic, potential, thermal, electrical, chemical, and nuclear energy. Kinetic energy is the energy of motion, while potential energy is the energy stored in an object due to its position relative to other objects. These two forms of energy can be converted into other forms, and can be used to do work.

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We must first determine the amount of force needed to lift the boxes against gravity. The weight of the boxes is calculated as follows: 30 boxes x 6 kg/box = 180 kg

Work = Force x Distance Work = 1765.8 N x 1.5 m Work = 2648.7 Joules Force = Weight x Gravitational Acceleration Force = 180 kg x 9.81 m/s2 Force = 1765.8 N

The total work required to raise thirty 6 kilogram boxes onto a 1.5 m high shelf is therefore 2648.7 Joules.

Hence, the gravitational pull between two objects grows as their respective masses do as well. The force of gravity between two objects is equal to their respective masses multiplied by two. To put it another way, the gravitational potential energy directly relates to how high an item is above the earth. Consequently, an item needs be elevated higher in order to enhance its gravitational potential energy. The gravitational potential energy increases with height.

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Answer:

Based on the data provided, it seems that the student is measuring the time period of a simple pendulum. The measured time periods are:

1.2 sec

1.23 sec

4.18 sec

1.25 sec

To find the mean time period, we add up all the measured values and divide by the total number of measurements:

Mean time period = (1.2 + 1.23 + 4.18 + 1.25) / 4 = 2.215 sec

To find the absolute error of each measurement, we subtract the mean time period from each measurement and take the absolute value:

Absolute error of 1st measurement = abs(1.2 - 2.215) = 1.015 sec

Absolute error of 2nd measurement = abs(1.23 - 2.215) = 0.985 sec

Absolute error of 3rd measurement = abs(4.18 - 2.215) = 1.965 sec

Absolute error of 4th measurement = abs(1.25 - 2.215) = 0.965 sec

To find the mean absolute error, we add up all the absolute errors and divide by the total number of measurements:

Mean absolute error = (1.015 + 0.985 + 1.965 + 0.965) / 4 = 1.23 sec

To find the percentage error of each measurement, we divide the absolute error of each measurement by the mean time period and multiply by 100:

Percentage error of 1st measurement = (1.015 / 2.215) * 100 = 45.9%

Percentage error of 2nd measurement = (0.985 / 2.215) * 100 = 44.4%

Percentage error of 3rd measurement = (1.965 / 2.215) * 100 = 88.8%

Percentage error of 4th measurement = (0.965 / 2.215) * 100 = 43.6%

Note that the third measurement has a significantly larger percentage error compared to the other measurements, which suggests that it may be an outlier or there may have been some systematic error in that particular measurement. It is important to carefully analyze such outliers and repeated experiments to ensure accurate results.

The tangential acceleration of the rollerblader is [tex]0 m/s^2[/tex], and her centripetal acceleration is [tex]0.42 m/s^2.[/tex]

The force you exert on the rollerblader is causing her to move in a circular path around the metal pole. This means that there must be a centripetal force acting on her, which is provided by the tension in the rope.

[tex]a = v^2 / r[/tex]

where a is the centripetal acceleration, v is the speed of the rollerblader, and r is the radius of the circle.

To find the speed of the rollerblader, we can use the fact that the tension in the rope is equal to the force you exert on her, which is 40 N. Therefore:

Tension = Centripetal force = [tex]m * a = m * v^2 / r[/tex]

[tex]40 N = (60 kg) * v^2 / 4 m[/tex]

[tex]v^2 = (40 N * 4 m) / 60 kg = 2.67 m/s[/tex]

[tex]v = \sqrt(2.67 m/s) = 1.63 m/s[/tex]

Now we can calculate the centripetal acceleration:

[tex]a = v^2 / r = (1.63 m/s)^2 / 4 m = 0.42 m/s^2[/tex]

Since the rollerblader is moving at a constant speed, her tangential acceleration is zero.

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Magnetic potential energy and electric potential energy are both forms of potential energy associated with the interactions between magnetic or electric fields and charges or magnetic moments.

However, there are some important differences between these two forms of potential energy. Magnetic potential energy is associated with the interactions between magnetic fields and magnetic moments. It is a function of the relative orientation of the magnetic moment and the magnetic field. The magnetic potential energy of a system is proportional to the product of the magnetic moment and the magnetic field strength, and it is greatest when the magnetic moment is aligned with the magnetic field. Electric potential energy, on the other hand, is associated with the interactions between electric fields and charges. It is a function of the relative position of the charges and the strength of the electric field. The electric potential energy of a system is proportional to the product of the charges and the electric field strength, and it is greatest when the charges are separated by the greatest distance. In general, magnetic potential energy tends to be weaker than electric potential energy because magnetic fields are generally weaker than electric fields. However, in certain systems such as magnetic storage devices, magnetic potential energy can be harnessed and used to store and transmit information.

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A stone falls from rest from the top of high tower. Ignore air resistance and take g=9.8m/s squared,  s = 30.625 m

Electrical resistance, which opposes the flow of current, is resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms are a unit of measurement for resistance.

R stands for resistance, which is measured in ohms. A resistor is indeed a machine made to create resistance. You can use resistors to divide voltage, restrict current, or produce heat. The two most common varieties of resistors are fixed and variable.

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At a rock concert, the sound intensity 1. 0 m in front of the bank of loudspeakers is 0. 10 W/m2. A fan is 30 m from the loud speakers. Her eardrums have a diameter of 8. 4 mm.The sound energy transferred to each eardrum in 1.0 second is 4.36 x 10^-11 J.

The sound intensity at a distance of 30 m from the loudspeakers can be calculated using the inverse square law:

I = I₀ / (4πr²)

where I₀ is the sound intensity at a distance of 1.0 m from the loudspeakers, r is the distance from the loudspeakers, and π is the mathematical constant pi (approximately 3.14).

Substituting the given values, we get:

I = 0.10 W/m² / (4π(30 m)²) = 7.87 x 10^-7 W/m²

The sound energy transferred to each eardrum in 1.0 second can be calculated using the formula:

E = A × t × I

where A is the area of the eardrum, t is the time, and I is the sound intensity.

The area of the eardrum can be calculated using the formula for the area of a circle:

A = πr²

where r is the radius of the eardrum, which is half the diameter.

Substituting the given values, we get:

A = π(8.4 mm / 2)^2 = 5.54 x 10^-5 m²

Substituting the given values and solving for E, we get:

E = 5.54 x 10^-5 m² × 1.0 s × 7.87 x 10^-7 W/m² = 4.36 x 10^-11 J

Therefore, the sound energy transferred to each eardrum in 1.0 second is 4.36 x 10^-11 J.

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Answer:

1. The disadvantages of using fossil fuels for producing electricity include their contribution to air pollution and climate change, their finite supply, and the environmental damage caused by their extraction and transportation.

2. We depend heavily on fossil fuels to produce electricity because they are relatively cheap and abundant, and because our infrastructure is largely built around their use. Additionally, many people may not be aware of the negative environmental impacts of fossil fuel use or may not have access to alternative energy sources.

3. Renewable energy resources, such as solar, wind, and hydropower, are generally considered to be the least harmful to the environment because they produce little to no greenhouse gas emissions or other pollutants. Additionally, they do not require mining or drilling for fuel, and they do not produce toxic waste. However, the environmental impact of renewable energy sources can vary depending on factors such as the location of the power generation facilities and the materials used in the production of renewable energy technologies.

4. One renewable energy resource that affects the environment is hydropower. While hydropower is a clean and renewable energy source, it can have significant environmental impacts, particularly on aquatic ecosystems. The construction of dams and other hydropower facilities can alter river flows and disrupt fish migration patterns, and the flooding of large areas for reservoirs can displace communities and cause other ecological disruptions. Additionally, the decommissioning of hydropower facilities can also have environmental impacts, such as the release of sediment and other materials that have accumulated behind the dams. To mitigate these impacts, it is important to carefully consider the location and design of hydropower facilities and to prioritize ecological considerations in the planning and implementation of hydropower projects.

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Answer:

67%

Explanation:

In the absence of external forces, the total momentum of the system before the collision is equal to the total momentum after the collision. Since the second ball is initially at rest, the total momentum before the collision is simply m*v.

After the collision, the two balls stick together and move with a common velocity, which can be calculated using conservation of momentum:

m*v + 0 = (m+2m) * v_final

Solving for v_final, we get:

v_final = v/3

The initial kinetic energy of the system is:

K_i = 0.5mv^2

The final kinetic energy of the system is:

K_f = 0.5*(3m)v_final^2 = 0.5(3m)(v^2/9) = 0.5m*v^2/3

The fraction of the initial kinetic energy lost on impact is:

( K_i - K_f ) / K_i = ( 1 - 1/3 ) = 2/3 = 0.67

Therefore, 67% of the initial kinetic energy is lost on impact.

Mass times the body's acceleration is how force is calculated. m * a = 3000 * 2 = 6000 Newton is the formula for force, which is defined as mass times acceleration.

The definition of "force" is obvious. At this level, the phrases "push" and "pull" are entirely suitable to describe forces. A force is not something that exists inside or within an object. A force acts on the first thing from another.

These types of forces are present when two objects interact physically and physically come into contact with one another. The various types of contact forces include frictional, tensile forces, normal, air pressure, applied, and spring forces.

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Gravity has an acceleration of 9.8m/s2. However, this does not apply to the question since the acceleration of the car is 2 m/s². The net force required to accelerate the car is 6.000 kg m/s².

Acceleration is the rate of change of velocity. It is a vector quantity that is defined as the change in velocity divided by the change in time. Acceleration can be seen as the rate at which an object changes its speed or the rate at which its direction changes. Acceleration can occur in any direction, and can be either positive (speeding up) or negative (slowing down). In physics, acceleration can be caused by forces, such as gravity, friction, and air resistance, or by changes in the motion of an object, such as starting, stopping, turning, or changing speed.

F = ma

F = (3.000 kg)(2 m/s²)

F = 6.000 kg m/s²

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Answer:

c.) 60 000j

Explanation:

c.) 1kj=1000j

60kjx1000

=60 000joules

The amount of loss in the mechanical energy of tha ball during the bounce is 7.35J (Option B)

E₁ = mgh₁

E₁ = 0.5 × 9.8 × 5

E₁ = 24.5 J

Next, we shall determine the energy during the bounce. Details below:

E₂ = mgh₂

E₂ = 0.5 × 9.8 × 3.5

E₂ = 17.15 J

Finally, we shall determine the loss in the amount energy during the bounce. This is shown below:

E = E₁ - E₂

E = 24.5 - 17.15

E = 7.35J

Thus, the lost energy is 7.35J (Option B)

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The amοunt οf heat required tο increase the temperature οf 480 kg water tο increase the temperature frοm 4°C tο 50°C is 9.3 × 10⁷ J.

The amοunt οf prοpane burned is 2kg.

Temperature is a numerical indicatοr οf hοw hοt οr cοld sοmething is. Atοms and mοlecules make up sοlids, liquids, and gases. The temperature οf that substance wοuld be lοw while these atοms and mοlecules are mοving slοwly. The temperature rises as the atοms and mοlecules mοve mοre quickly. The cοmbined energy οf these atοms and mοlecules in mοtiοn is knοwn as heat.

Cοnductiοn, cοnvectiοn and radiatiοn are the three methοds οf heat transfer.

Using the fοrmula:

H = m×s×ΔT

where,

H is the tοtal heat

m is the mass

and ΔT is the change in temperature.

substituting the values and sοlving fοr H,

H = 9.3× 10⁷ J

The amοunt οf prοpane required = H/h

where

H is the tοtal heat and,

h is the heat released by 1kg οf Prοpane.

Mass οf prοpane required= 2kg

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The net force on the swing is equal to 245 N downwards. Hence, the option c is the correct answer.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a trajectory and a magnitude. The application of force is the place at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring scale can be used to calculate the Force. Newton is the SI unit of energy.(N).
We are given that the weight of the girl is 245 N.

As we know the force = mass * acceleration

mass of the girl= weight / gravity

mass of the girl= 245/10 = 24.5 kg.

here acceleration is the acceleration due to gravity which is equal to 10 m/s^2.

therefore, force= 24.5*10 = 245 N.

Hence, the net force on the swing is 245 N.

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Two spheres have identical charges and are 0. 012 m apart. The force between them is +0. 32 N. the magnitude of the charge on each sphere is approximately 2.14 × 10^-6 C.

The force (F) between two charged spheres with charges q1 and q2, separated by a distance r, is given by Coulomb's law:

F = (1/4πε₀) * (q1*q2/r^2)

where ε₀ is the electric constant.

In this problem, we are given the following information:

The charges on the two spheres are identical, i.e., q1 = q2 = q

The distance between the spheres is r = 0.012 m

The force between the spheres is F = +0.32 N

Using Coulomb's law, we can write:

q^2 = (F * r^2)/(1/4πε₀)

We know the value of F, r, and ε₀, so we can substitute these values to calculate q:

q^2 = (0.32 N * (0.012 m)^2)/(1/4πε₀)

q^2 = 4.57 × 10^-9 C^2

Taking the square root of both sides, we get:

q = ±2.14 × 10^-6 C

Since the charges are identical, we take the positive value of q, which gives:

q = 2.14 × 10^-6 C

Thus the value is, 2.14 × 10^-6 C.

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The Lockheed U-2 or other high-flying aircraft's performance is likely to be unaffected by this disparity.

At an altitude of 70,000ft, the acceleration of gravity is slightly lower than the value at sea level due to the decrease in distance from the center of the Earth. However, this difference is typically small and is often ignored for the flight of airplanes in the Earth's atmosphere. The difference in acceleration of gravity between sea level and 70,000ft is approximately 0.006 m/s^2 or 0.06% of the value at sea level.

Therefore, the effect of this difference on the flight of the Lockheed U-2 or other high-flying aircraft is likely to be negligible and can be safely ignored for practical purposes.

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The ΔKtot represents the change in the total kinetic energy of the system, and the ΔUint represents the change in the total internal energy of the system.

Since the system consists of two objects, we can assume that the change in kinetic energy is due to the transfer of energy between the two objects, while the change in internal energy is due to a change in the potential energy of the system. The positive value of ΔKtot indicates that the total kinetic energy of the system has increased by 6 J. This means that one of the objects has gained kinetic energy while the other has lost the same amount of kinetic energy. This could happen if the two objects collided and transferred energy between each other. The negative value of ΔUint indicates that the total internal energy of the system has decreased by 3 J. This means that the potential energy of the system has decreased by the same amount, which could happen if the objects moved closer together and the force of attraction between them decreased. Overall, the change in kinetic energy and internal energy in the system shows that there has been a transfer of energy between the objects and a decrease in the potential energy of the system. This suggests that the objects may have undergone a collision or moved closer together due to the force of attraction between them.

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Answer:

3 μC, -1 μC or -3 μC, 1 μC

Explanation:

As you can see in the image, let initial charges on two identical spheres be Q and q respectively (we are not considering the sign of q to be negative, value of q will be negative after solving)

initially,

[tex]-0.108 = \frac{KQq}{r^2}[/tex] …. (1)

where r = 0.5 meter (given in question),

after connecting a thin wire, both spheres tend to achieve the same potential conserving the total charge as initial, so after connecting a thin wire potential of both spheres become equal.

let q1 be the final charge on sphere 1 and q2 be the final charge on sphere 2,

[tex]\dfrac{Kq_1}{r} = \dfrac{Kq_2}{r}\\\\q_1 = q_2\\[/tex]... (2)

also, charge is conserved so total charge remains the same,

[tex]Q + q = q1 + q2[/tex] … (3)

if you solve equation 2 and 3, you will get the the final charges,

[tex]q_1 = q_2 = \dfrac{Q + q}{2}[/tex]

now after connecting the spheres the force equation becomes,

[tex]0.0360 = \dfrac{K\left(\dfrac{Q + q}{2}\right)^2}{r^2}[/tex] … (4)

divide the equation 2 by 4, after some simplification we get the below quadratic equation

[tex]3Q^2 + 10Qq + 3q^2 = 0[/tex]

divide the whole equation by [tex]q^2[/tex],

[tex]3\left(\dfrac{Q}{q}\right)^2 + 10\dfrac{Q}{q} + 3 = 0[/tex]

now this is a quadratic equation, after solving we get

[tex]Q = -3q[/tex]

(other solution also works, considering magnitude of charge on Q is more)

now substitute [tex]Q = -3q[/tex] in equation 2 and solve for q

q = 1 μC

Q = -3 μC

(you may consider Q = 3 μC and q = -1 μC)

Hopefully this answer will help you figure out the solution

Answer:

7th grade in a year and I am not going for the same as a student from a school year or so cute cat that I don't have a lot to get for it is the greatest thing I can think they are you at the end a bit too far from your home or the other one that is the only thing that is a bit more expensive and

The work done on an object by a constant force is given by the formula:

W = Fd cos(theta)

where:

W = work done (in joules)

F = applied force (in newtons)

d = displacement (in meters)

theta = angle between the force and displacement vectors (in degrees)

In this case, the force is in the same direction as the displacement, so the angle between them is 0 degrees. Therefore, we can simplify the formula to:

W = Fd

We are given that the work done is 100 J and the force is 30 N. Substituting these values into the formula, we get:

100 J = 30 N * d

Solving for d, we get:

d = 100 J / (30 N) = 3.33 meters

Therefore, the displacement is 3.33 meters.

The initial compression of the spring required for the block to have a speed of 2.3 m/s after crossing the rough patch is 0.067 m.

The initial potential energy of the block when held at rest against the spring is given by:

PE = (1/2)kx², where k is the force constant of the spring and x is the distance the spring is compressed. Therefore, we have:

PE = (1/2)(730 N/m)d²

When the block is released, it starts moving and loses some of its initial energy due to friction on the rough patch. The work done by friction can be found by:

W = μN(d), where μ is the coefficient of kinetic friction, N is the normal force, and d is the width of the rough patch.

The normal force is given by:

N = mg, where m is the mass of the block and g is the acceleration due to gravity.

Thus, the work done by friction is:

W = μmg(d)

The change in kinetic energy of the block is equal to the work done by the spring minus the work done by friction. Therefore:

(1/2)mv² = (1/2)kx² - μmgd

Substituting the given values of mass, coefficient of friction, and final velocity, we get:

(1/2)(1.2 kg)(2.3 m/s)² = (1/2)(730 N/m)d² - (0.44)(9.8 m/s²)(1.2 kg)(0.05 m)d

Solving for d, we get:

d ≈ 0.097 m

Therefore, the block should be compressed by approximately 9.7 cm for it to have a speed of 2.3 m/s after crossing the rough patch.

Note: This solution assumes that the spring is a linear spring obeying Hooke's Law.

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Answer:

The volume of this gas when pressure becomes 3.00 ATM is 0.52 liters 

Explanation:

Answer:

in image

Explanation:

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