the potential energy of a particle constrained to move on the x-axis is given by u(x) = ax2 − bx

The heat capacity of an object, of mass 2.0 kg, is tbe energy needed to increase the temperature of the whole object by 1°C

The heat capacity of a substance is the amount of heat energy required to raise the temperature of the object by 1°C.

The heat capacity differs from specific heat capacity in that specific heat capacity is the amount of heat energy required to raise a unit mass of a substance by 1°C.

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According to the research, the correct option is Aerobic exercise can last continuously for many minutes. It is the statement that correctly he can use to make in his description about aerobic exercise.

They are those physical activities that aim to burn fat using a high amount of oxygen.

In this sense, these exercises allow to improve the resistance of the person, they are not very intense but are developed in long periods, unlike anaerobic exercises that are more intense and brief.

Therefore, we can conclude that according to the research, the correct option is Aerobic exercise can last continuously for many minutes. It is the statement that correctly he can use to make in his description about aerobic exercise.

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Answer: Aerobic exercise can last continuously for many minutes.

Explanation:

Got it correct

Answer:

Mass is the answer

Explanation:

Because of law of conservation of mass which states that mass remains same during change of state

A sample of water changes states from liquid to solid. The mass of the water, when it is a liquid, is the same as when it is solid what word completes the sentence.

According to the rule of conservation of mass, mass is neither generated nor destroyed during a chemical process. For instance, when coal is burned, the carbon atom in it transforms into carbon dioxide.

The carbon atom transforms from a solid to a gas, yet its mass remains constant. Similar to this, according to the rule of conservation of energy, energy cannot be created or destroyed.

For instance, kinetic energy is converted to potential energy when a toy vehicle is rolled down a ramp and collides with a wall. Further, the law of conservation of mass states is mass is conserved from reactants to products, no matter the type of chemical reaction that occurs.

Therefore, A sample of water changes states from liquid to solid. The mass of the water, when it is a liquid, is the same as when it is solid what word completes the sentence.

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The magnetic field direction can be determined by circling the wire with the fingers while pointing the right thumb toward the direction of the current.

generated by a current is a magnetic field produced by a wire carrying current is a magnetic field. between two currents traveling in the same direction, the magnetic force between two currents flowing in opposite directions, and the magnetic force of a wire's induced current.

For instance, using the right-hand rule, the magnetic force exerted by the magnetic field on this wire is directed in the (-y) direction if the magnetic field is oriented in the (+x) direction and the current is in the (-z) direction.

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Answer:

the x and y values

Explanation:

because on the table the x is the input and y is the output

The carbon cycle and the water cycle are different in terms of the substances they involve and the processes they encompass.

The carbon cycle involves the movement of carbon atoms between the atmosphere, living organisms, and the Earth's crust through processes such as photosynthesis, respiration, and fossil fuel combustion. On the other hand, the water cycle, also known as the hydrological cycle, involves the continuous movement of water through evaporation, condensation, precipitation, and runoff, without any change in the composition of water molecules.

While both cycles are essential for maintaining Earth's systems, they differ in terms of the substances involved and the specific processes that occur. The carbon cycle focuses on the cycling of carbon atoms, influencing global climate and long-term carbon storage, whereas the water cycle revolves around the movement of water, ensuring the availability of freshwater resources and sustaining life on the planet. Understanding these cycles helps us comprehend the interconnectedness of natural processes and their impact on the environment.

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Answer:

The state of depolarization of a neuron is represented by option d) +30 mV to -70 mV.

A neuron at rest has a resting membrane potential typically around -70 mV, which is maintained by the balance of ion concentrations across the cell membrane. Depolarization occurs when there is a temporary shift in the membrane potential towards a more positive value.

Option d) represents depolarization because it describes a change in the membrane potential from the resting potential of -70 mV to a more positive value of +30 mV and then back to the resting potential of -70 mV. This change in potential is characteristic of depolarization.

Option a) (-70 mV) represents the resting membrane potential, while options b) (-70 mV to +30 mV) and c) (-70 mV to -85 mV) do not accurately describe the state of depolarization, as they involve changes that move away from the resting potential rather than towards a positive value.

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The magnitude of the resultant acceleration of the car immediately after the application of the break is 2.495 m/s².

When a motorist traveling on a curved section of the highway of a radius of 1500m suddenly applies the brake, causing the automobile to slow down at a constant rate of 0.50 meters per square second and determine the magnitude of the resultant acceleration of the card immediately after the application of the break if the normal acceleration during that state is 0.185 meters per square seconds.

The centripetal force, fc is given by the expression:

fc = m v² / where m is the mass of the object and the velocity of the object is the radius of the path.

The acceleration of the object, a is given by the expression:

a = fc / where m is the mass of the object and is the centripetal force acting on the object when the brakes are applied, the normal force acting on the object increases.

The resultant force acting on the object is given by:

F = fN - friction, where fN is the normal force acting on the objectification, and is the frictional force acting on the object.

The frictional force is given by: friction = μ * where μ is the coefficient of friction between the object and the surface of the paths acceleration of the object, a is given by the expression:

a = (fN - friction) / When the object is in a state of equilibrium, the sum of the forces acting on the object is equal to zero.

The normal force acting on the object, fN is given by: fN = mg - where, g is the acceleration due to gravity

a = fc / m = m v² / r / m = v² / r = (60 / 3.6)² / 1500 = 0.694 m/s²

The force of friction acting on the object, friction is given by:

friction = μ * fN = μ * (mg - fc)fN = mg - fc = m * g - m v² / rr = 1500m

Therefore, the acceleration of the object after the brakes are applied is given by:

a = (fN - friction) / m= [(m * g - m v² / r) - μ * (m * g - m v² / r)] / m= [(1 - μ) * (m * g - m v² / r)] / m= [(1 - μ) * g - (1 - μ) * v² / r] = [(1 - 0.5) * 9.81 m/s² - (1 - 0.5) * (60 / 3.6)² / 1500] m/s²≈ 2.495 m/s².

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(i) The generator delivers a greater rms current when only the resistor is present.

(ii) The greater average power is consumed by the circuit when both the inductor and the resistor are present.

The average power consumed in the inductor-resistor series circuit is 0.0216 A.

(i) In the case where both the inductor and the resistor are present, the generator delivers a greater rms current. This is because the presence of the inductor introduces reactance, which affects the overall impedance of the circuit. The reactance of an inductor is frequency-dependent, and since the generator has a frequency of 1160 Hz, the inductor will have a significant impact on the current flow. (ii) In the case where both the inductor and the resistor are present, the greater average power is consumed by the circuit. This is because the inductor introduces reactive power to the circuit, which does not contribute to useful work but rather oscillates between the inductor and the generator. Therefore, the combination of the resistor and the inductor results in a higher total power consumption compared to when only the resistor is present.

To calculate the average power consumed in the inductor-resistor series circuit, we need to determine the total impedance of the circuit and use it to calculate the average power.

Given:

Resistance, R = 495 Ω

Inductance, L = 0.085 H

Frequency, f = 1160 Hz

Average power consumed by the resistor, P_resistor = 0.25 W

First, we calculate the reactance of the inductor using the formula X_L = 2πfL:

X_L = 2π(1160 Hz)(0.085 H) ≈ 200.34 Ω

Next, we calculate the total impedance of the circuit using the resistance and reactance:

Z = √(R^2 + X_L^2) = √(495^2 + 200.34^2) ≈ 535.23 Ω

Finally, we can calculate the average power consumed in the inductor-resistor series circuit using the formula P = I^2Z, where I is the rms current:

P = I^2Z

0.25 W = I^2(535.23 Ω)

I^2 = 0.25 W / 535.23 Ω

I ≈ √(0.000468 A)

I ≈ 0.0216 A

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Answer: 20 m west

Explanation:

Answer:

On Earth, the acceleration due to gravity is 9.8 m/s/s. ... In other words, you weigh more on Earth; you would weigh less on the moon. For instance, if you take a 10 kg bowling ball to the moon, it would still have a mass of 10 kg. However, its weight would be much less because the moon's gravity is relatively weak.

Explanation:

Given that,

Initial force, F = 12 N

First initial charge, q₁ = 3C

First new charge, q₁' = 6C

Initial distance, r = 15 cm

New distance, r' = 45 cm

To find,

The new force of attraction.

Solution,

The force between two charges is given by :

\(F=k\dfrac{q_1q_2}{r^2}\)

\(12=k\dfrac{3\times q_2}{15^2}\ ....(1)\)

Let F' is the new force.

\(F'=k\dfrac{q_1'q_2'}{r'^2}\)

\(F'=\dfrac{k\times 6\times q_2}{(45)^2}\ ...(2)\)

As q₂ is same in this case.

Dividing equation (1) and (2) :

\(\dfrac{F}{F'}=\dfrac{k\dfrac{3q_2}{15^2}}{\dfrac{k\times 6\times q_2}{45^2}}\\\\\dfrac{12}{F'}=4.5\\\\F'=\dfrac{12}{4.5}\\\\F'=2.67\ N\)

So, the new force of attraction is 2.67 N.

the required electrical motor is 2723 kW.

The density of air at suction conditions can be calculated using the ideal gas equation as follows:P1V1 = mR * T1m = P1V1 / RT1 = 101.325 kPa * 7.0833 m³/s / 0.287 kJ/kg-K * 300 K

= 817.52 kg/s

Volumetric flow rate = 425 m³/min

Mass flow rate = 425 m³/min * 1 min / 60 s * 817.52 kg/m³ = 11317.8 kg/s

Work done during compression can be calculated as follows:

W = (P2V2 - P1V1) / (n - 1) = (1034 kPa * 7.0833 m³/s - 101.325 kPa * 7.0833 m³/s) / (1.35 - 1) * 1.4 kJ/kg-K * 11317.8 kg/s

W = 42067.4 kJ/s

The work input can be calculated as follows:

Actual work input = Work output / Mechanical efficiency

Actual work input = 42067.4 kJ/s / 0.84 = 50080.4 kJ/s

The electrical motor required can be obtained by dividing the work input by the overall efficiency. The overall efficiency is assumed to be 90%.

W'm = Actual work input / Overall efficiencyW

'm = 50080.4 kJ/s / 0.9 = 55644.9 W = 55.645 kW ≈ 56 kW

≈ 2723 (nearest integer)

Hence, the required electrical motor is 2723 kW.

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Resolution of forces in horizontal and vertical component yield 855 N to the north and 755 N to the east. Option B is the correct answer.

A force can simply be defined as a pull or push. In a scenario where there are several forces acting on an object, the resultant or net force can be known by resolution of the forces.

Given that two workers are pushing on the same large crate. One worker pushes east with a force of 875 N, while the other worker pushes north with a force of 960 N. Friction between the crate and the floor is directed west with a force of 80 N and south with a force of 105 N. Assuming drag due to air resistance is negligible,

the total north-south net forces will be 960 - 105 = 855 N

the total east-west net forces acting on the crate will be 875 - 80 = 795 N

Therefore, the total north-south net forces and the total east-west net forces acting on the crate, causing it to accelerate across the floor are 855 N and 795 N respectively.

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The eccentricity of Venus is = 0.0068. That is option C.

The orbital eccentricity is defined as the measurement that is used to show how an orbit deviates from the shape of a circle.

The Venus is one of the planets of the universe that is the second closest to the sun.

The Venus is one of the planets that has a small orbital eccentricity being 0.006772 which is approximately 0.0068. This means that it is closest to being circular in shape.

The planets with the largest orbital eccentricity is the planet Mercury with orbital eccentricity of 0.2056.

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Answer:

to help us to be able to trade freely

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

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What a medium-mass star becomes after a planetary nebula; a very bright, dense mass about the size of the planet Earth. ... The process that generates all of the energy that a star produces. Supernova. A Red Super Giant explodes into this when it runs out of elements to fuse together.

The process that generates all of the energy that a star produces. Supernova. A Red Super Giant explodes into this when it runs out of elements to fuse together. Hence option A is correct.

A red giant is a bright giant star of low or intermediate mass (approximately 0.3-8 solar masses (M)) that has reached the end of its evolutionary cycle. The outer atmosphere is inflated and tenuous, resulting in a wide radius and a surface temperature of 5,000 K (4,700 °C; 8,500 °F) or less. The appearance of red giants ranges from yellow-white to reddish-orange, and includes spectral types K and M, as well as class S and most carbon stars.

Hence option A is correct.

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Answer:

Your a genius!

Explanation:

The information given on the X-axis of the graph attached is the years from 1920-2005 (option B).

A graph in mathematics or statistics is a data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set.

A graph consists of two axes namely; X-axis and Y-axis. The x-axis on a graph is usually drawn left to right and usually shows the range of values of an independent variable.

On the other hand, the Y-axis is the axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable.

Therefore, according to the graph illustrated above, the x-axis shows the years from 1920-2005.

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Mechanical energy is of two types,

1. Kinetic energy

2. Potential energy

When the girl is at the top of her jump, the speed of the girl becomes zero.

Thus, the kinetic energy of the girl at the top of her jump is,

where m is the mass of the girl and v is her speed,

Substituting the known values,

Thus, the kinetic energy of the girl is zero at the top of her jump.

The potential energy of the girl at the top of her jump is,

where g is the acceleration due to gravity and h is the height of the girl,

Thus, the potential energy of the girl at the maximum height is maximum.

Hence, the mechanical energy of the girl at the top is in potential energy form because her kinetic energy is zero at the top of her jump.

If I move 3 m east and 4 m north, then my displacement would be 5m.

In geometry and mechanics, displacement is defined as a vector whose length is the shortest distance from initial to the final position of a point P undergoing the motion.

If an object moves relative to the reference frame—for example, if professor moves to the right relative to whiteboard or passenger moves toward the rear of airplane—then object's position changes. And this change in position is known as displacement.

Given AB= 3m east and BC= 4m north

AC= √ 3² + 4²= 25

So, AC, displacement = 5m

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Answer:

9/10

Explanation:

If negligible velocity at inlet (C 1 ≈0), the velocity (C2) of steam (in m/s) at the nozzle exit is 447.21 m/s.

According to question:

The steady flow energy equation for steady flow devices

m (h1 + ((c1)2/2) + z1g) + Q = m (h2 + ((c2)2/2) + z2g) + Wcv

C1 = 0

Wcv = 0

z1 = z2

mh1 + Q = mh2 + m((C2)2/2)

m((C2)2/2) = m(h1-h2) + Q

0.1 × ((C2)2/2) × 10-3 = 0.1(2500-2350) -5

C2 = 447.21 m/s

Thus, the negligible velocity at inlet (C 1 ≈0), the velocity (C2) of steam (in m/s) at the nozzle exit is 447.21 m/s.

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Answer: B

Explanation:

Due to the rubbing of the balloons on their hair, the balloons have gained negative charges which lie on the balloons surfaces. Like charges will repel each other according to the Coulomb force

The law of conservation of energy states that energy is neither created nor destroyed but is transformed from one form to another.

The law of conservation of energy is the law that states that energy is neither created nor destroyed but is transformed from one form to another.

Examples of activities of everyday life that shows the conservation of energy include the following:

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An example of the law of conservation of energy is a roller coaster.

The law of conservation of energy states that energy cannot be created or destroyed, only transferred or transformed from one form to another. This means that the total amount of energy in a closed system remains constant over time.

A roller coaster car gains kinetic energy as it moves down the track, but it also loses potential energy. At the bottom of the track, the car has the most kinetic energy and the least potential energy, while at the top of the track, it has the most potential energy and the least kinetic energy. However, the total amount of energy in the system remains constant.

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Answer: A positively charged insulating rod is brought close to an object that is suspended by a string. If the object is repelled away from the rod, we can conclude that the object is positively charged.

Explanation: To find the answer, we need to know more about the Electric charges and its properties.

Thus, from the above, we can conclude that, when a positively charged insulating rod is brought close to an object that is suspended by a string. If the object is repelled away from the rod, we can conclude that the object is positively charged.

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Answer:

positively charged

Explanation:

when a positively charged object is being repelled, that means the charge should be the same for both.