is known to be first order with respect to a and to have a rate constant of .329 at 283 k. an experiment was run at this temperature where [a] = 0.481. calculate the concentration of b after 0.113

Answer:

a) Metres (m)

b) Kilogram (kg)

c) litres (l)

If the universe was infinite in both extent and age then we would expect the night sky to be uniformly bright.

The universe can be described as all of space and time including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang Theory has given the cosmological description of the development of the universe.

Space and time emerged together approximately 13 billion years ago, and the universe is expanding ever since the Big Bang. While the spatial size of the universe is unknown and we can only measure the size of the observable universe.

From further observational improvements, the Sun can be defined as one of a few hundred billion stars in the Milky Way, which is one of a few hundred billion galaxies and also many of the stars in a galaxy have planets in the universe.

According to the Big Bang theory, matter and energy initially have become less dense as the universe expanded.

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Answer:

The last option, 20 N and 2.04 kg

Explanation:

work = (force)(distance)

work = 120 joules

distance: 6 m

rearrange to find force:

120=(6)F

F= 120/6 = 20 Newtons.

Assuming its lifted from Earth's surface, the force of gravity will be 9.81 m/s^2. Let's find mass:

F=mg

m=F/g

m=(20)/(9.81)= 2.038 kg

Answer:

74 mph is the answer

Explanation:

Answer:

Part A;

he mass of the object, m = 2 kg

The initial speed of the object, u = 3 m/s east

The final speed of the object, v = 7 m/s west

The initial kinetic energy of the object = 1/2 × m × u² = 1/2 × 2 × 3² = 9 Joules

The final kinetic energy of the object = 1/2 × m × v² = 1/2 × 2 × 7² = 49 Joules

Based on the change in the momentum produced by the force which changes the direction  of the object, we add the two energy quantities to get the total change in energy as follows;

The change in kinetic energy = 9 J + 49 J = 58 J

The statement is wrong because the change in momentum brought about by the force should be included when finding the the total change in kinetic energy of the object during the 5 seconds period

Part B;

The kinetic energy, K. E. = 1/2 × m × v²

The kinetic energy of the car A = 1/2 × 1000 × 6² = 18,000 J

The kinetic energy of the car B = 1/2 × 1600 × 8² = 51,200 J

The kinetic energy of the car C = 1/2 × 1200 × 8² = 38,400 J

The kinetic energy of the car D = 1/2 × 1600 × 4² = 12,800 J

Given that work required = Force × Distance, and the distance, is constant, we have;

The force required is directly proportional to the energy kinetic energy of the car that is to be stopped

Therefore, we have;

B = 1, C = 2, A = 3, and D = 4

The work needed to stop the car, W = The strength of the applied force, F × The given constant distance to stop, d

∴ W ∝ F.

Explanation:

Part A;

The mass of the object, m = 2 kg

The initial velocity of the object, u = 3 m/s east

The final velocity of the object, v = 7 m/s west

The initial kinetic energy of the object = \(1/2 * m * u^2 = 1/2 * 2 *3^2 = 9 \text{ Joules}\)

The final kinetic energy of the object = \(1/2 * m * v^2 = 1/2 * 2 * 7^2 = 49 \text{ Joules}\)

Based on the change in the momentum produced by the force which changes the direction  of the object, we add the two energy quantities to get the total change in energy as follows;

The change in kinetic energy = \(9 J + 49 J = 58 J\)

The statement is wrong because the change in momentum brought about by the force should be included when finding the the total change in kinetic energy of the object during the 5 seconds period.

Part B;

The kinetic energy, K. E. = 1/2 × m × v²

The kinetic energy of the car A = \(1/2 * 1000 *6^2 = 18,000 J\)

The kinetic energy of the car B = \(1/2 * 1600 * 8^2 = 51,200 J\)

The kinetic energy of the car C = \(1/2 * 1200 * 8^2 = 38,400 J\)

The kinetic energy of the car D =\(1/2 * 1600 * 4^2 = 12,800 J\)

Given that work required = Force × Distance, and the distance, is constant, we have;

The force required is directly proportional to the energy kinetic energy of the car that is to be stopped

Therefore, we have;

B = 1, C = 2, A = 3, and D = 4

The work needed to stop the car, W = The strength of the applied force, F × The given constant distance to stop, d.

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C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world

C.S. Lewis believed that science and magic are distinct and incompatible ways of knowing and interacting with the world. Science is concerned with understanding the natural world through observation and experimentation, while magic is a form of supernatural power that operates outside the laws of nature.

Lewis also believed that science and magic have different ethical implications. Science is morally neutral, while the use of magic often has negative consequences and can lead to a desire for power and control.

In his fiction, such as the Chronicles of Narnia series, Lewis often used the contrast between science and magic to explore larger philosophical and spiritual themes.

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Total resultant velocity=5.11-3.27=1.84m/s

\(\\ \sf\longmapsto ∆P=P\)

\(\\ \sf\longmapsto m_1v_1=m_2v_2\)

\(\\ \sf\longmapsto v_2=\dfrac{m_1v_1}{m_2}\)

\(\\ \sf\longmapsto v_2=\dfrac{61.4(1.84)}{109}\)

\(\\ \sf\longmapsto v_2=112.976/109\)

\(\\ \sf\longmapsto v_2\approx 1.3m/s\)

The velocity of the plane and the pilot before the pilot jumps is 0.25 m/s.

The given parameters;

The velocity of the plane and the pilot before the pilot jumps is calculated by applying the principle of conservation of linear momentum for inelastic collision as follows;

\(m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\61.4(-5.11) \ + \ 109(3.27) = v(61.4 + 109)\\\\42.68 = v(170.4)\\\\v = \frac{42.68}{170.4} \\\\v = 0.25 \ m/s\)

Thus, the velocity of the plane and the pilot before the pilot jumps is 0.25 m/s.

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Answer: direct linear

Explanation:

Scientists find out about the internal parts of life science specimen by a method called fixation and the examination of sample under microscope.

Specimen is the whole or a part of an organism, plant or rock collected and preserved as an example of its class and species. It is further used to study the properties of the whole population of the species.

Specimen is collected by withdrawing blood, collecting urine, or swabs from mucosal surfaces. Specimen collection is performed using aseptic techniques to  avoid contamination from bacteria or other bodily fluids.

After the liquid is added to the slide, a coverslip is placed on top and then the specimen becomes ready for examination under the microscope. Another method of preparing specimens for light microscopy is “fixing” that refers to the process of attaching cells to a slide.

There are 5 steps for the preparation of samples:

Fixation is done immediately after the removal of the sample that is to to be observed.

Embedding is done by fixation in a fixative solution.

Sectioning is carried out using microtomy

Staining and  also immunolabeling

Finally mounting.

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According to the question, The electrostatic force is inversely related to the square of the separation distance.

Between two charges that are separated by a distance, there is an electrostatic force. The size of each charging and the separation between them determine the strength of the electrostatic force. Two charges that are either positive or negative when placed together repel one another.

Positively and negatively charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of all this interaction. The magnitude of the static electricity and the spacing between them both contribute to this force.

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A Slinky can be used to demonstrate how waves transmit both energy and information. In essence, waves are the transfer of energy from one location to another through the medium of a mechanical disturbance. The energy is transmitted through a medium in waves, which are classified based on their physical characteristics. There are two types of waves, transverse and longitudinal waves.

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Answer:

Element Chart

Explanation:

It is a chart that provides many different elements.

At extreme position, velocity is zero but acceleration is maximum in Simple Harmonic motion because of maximum displacement of pendulum.

At extreme position, velocity is zero but acceleration is maximum in Simple Harmonic motion because at extreme points the motion of the pendulum is at zero which means that velocity is zero but the pendulum attains maximum displacement. Acceleration is maximum when it gets the extreme position because the displacement is maximum at extreme position. If the velocity of the simple harmonic motion is maximum, the acceleration must be equal to zero and we know that the acceleration is equal to zero only when the particle or object is at initial position.

So we can conclude that at extreme position, velocity is zero but acceleration is maximum in Simple Harmonic motion because of maximum displacement of pendulum.

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The machine's efficiency is 81.61%, indicating that it converts 81.61% of the input energy into useful output energy, while the remaining percentage is lost as waste or dissipated in the process.

To calculate the efficiency, we can use the formula:

Efficiency = (Actual Output / Design Capacity) × 100

Given:

Actual Output = 7,407

Design Capacity = 9,050

Substituting the values into the formula:

Efficiency = (7,407 / 9,050) × 100

          = 0.817 × 100

          = 81.61%

Therefore, the efficiency of the machine is 81.61%.

Efficiency is a measure of how effectively a machine or system is utilizing its available capacity. In this case, the machine has a design capacity of 9,050 units, but it only produced an actual output of 7,407 units.

By dividing the actual output by the design capacity and multiplying by 100, we find that the machine's efficiency is 81.61%. This indicates that the machine is operating at approximately 81.61% of its full capacity.

A higher efficiency percentage would indicate a more optimal utilization of the machine's capacity, while a lower percentage suggests room for improvement in maximizing output.

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The potential energy of Nan suitcase of mass 14 kg is 54.88 J.

Potential energy is the energy of a body due to its position in the gravitational field.

To calculate the potential energy, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the potential energy is 54.88 J.

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The final velocity of the second part of the ball after the explosion is 9.3 m/s downwards.

The final velocity of the first part of the ball after the explosion is calculated by applying the following kinematic equation.

v² = u²  + 2gh

where;

v² = 8²  + 2 ( 9.8 ) ( 12 )

v² = 64 + 235.2

v² = 299.2

v = √ ( 299.2 )

v = 17. 3 m/s

The final velocity of the second part is calculated as follows;

v₁ + v₂ = 8 m/s

v₂ = 8 m/s   -  v₁

v₂ = 8 m/s  -  17.3 m/s

v₂ = -9.3 m/s

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Answer:

The fruit came first

Explanation:

The subsequent current in the series RLC circuit is given by the equation: i(t) = I * cos(5t - Φ), where I is the amplitude of the current and Φ is the phase angle.

To find the subsequent current, we need to calculate the amplitude (I) and the phase angle (Φ) of the current.

First, let's calculate the resonant frequency (ω) of the circuit:

ω = 1 / √(LC) = 1 / √(10 * 10^(-2)) = 1 / √1 = 1 rad/s.

The applied voltage can be written as E(t) = E * cos(ωt), where E is the amplitude of the voltage.

Comparing this with the given voltage E(t) = 200 * cos(5t), we can equate the angular frequencies: ω = 5.

Now, let's find the impedance (Z) of the circuit:

Z = √(R^2 + (Xl - Xc)^2),

where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.

R = 20 Ω

Xl = ωL = 1 * 10 = 10 Ω

Xc = 1 / (ωC) = 1 / (5 * 10^(-2)) = 20 Ω

Plugging in these values, we get:

Z = √(20^2 + (10 - 20)^2) = √(400 + 100) = √500 ≈ 22.36 Ω.

The amplitude of the current (I) can be calculated using Ohm's Law:

I = E / Z = 200 / 22.36 ≈ 8.94 A.

The phase angle (Φ) can be found using the relationship between resistance, inductive reactance, and capacitive reactance:

tan(Φ) = (Xl - Xc) / R = (10 - 20) / 20 = -0.5.

Therefore, Φ ≈ -0.464 rad.

The subsequent current in the series RLC circuit is given by i(t) = 8.94 * cos(5t + 0.464) A.

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Explanation:

The formula is error/actual value multiplied by 100 %

The circuit breaker trips due to overload from the high-setting heaters. To resolve this, either use one high-setting heater at a time or both heaters on the low setting to stay within the circuit's limit and ensure safety.

The cause of the circuit breaker tripping is the overload on the circuit. Each 1000-watt heater on the high setting draws approximately 8.33 amps (\(\[\frac{1000\text{ watts}}{120\text{ volts}}\)). Therefore, when both heaters are set to high, the total current drawn is 16.66 amps (8.33 amps + 8.33 amps), exceeding the 15 amp rating of the circuit.

The most reasonable and safe recommendation would be to either:

1. Use only one heater on the high setting at a time, ensuring that the total current drawn does not exceed the circuit's rating. This way, the heaters can still function on the high setting, but not simultaneously.

2. Use the heaters on the low setting, where each heater draws 500 watts and 4.17 amps. This way, both heaters can operate simultaneously within the circuit's rating without causing an overload.

It is important to prioritize safety and avoid overloading the circuit, as it can lead to overheating and potential electrical hazards.

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Answer:

(D) is visible light

Explanation:

(F) is xray and (B) is radio

The force on the bat is also 18,436 newtons. This is because the bat and the ball experience the same force but in opposite directions. When the bat exerts a force on the ball, the ball exerts an equal and opposite force on the bat, according to Newton's third law.

Newton's third law of motion states that for every action, there is an equal and opposite reaction. In other words, when one object exerts a force on another object, the second object exerts an equal and opposite force back on the first object. This law applies to all objects in the universe, from the smallest subatomic particles to the largest celestial bodies.

The forces can be contact forces, such as the force exerted by a person pushing on a wall, or non-contact forces, such as the force of gravity between two objects. For example, when a person jumps, they exert a force on the ground, and the ground exerts an equal and opposite force back on the person, propelling them upwards. Similarly, when a rocket expels gas out of its engines, the gas exerts a force on the rocket, and the rocket exerts an equal and opposite force on the gas, propelling the rocket forward.

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Answer: To calculate the magnitude of the force exerted by the ball on Tom Brady's foot, we can use the impulse-momentum theorem:

impulse = force × time

The impulse is equal to the change in momentum of the ball, which can be calculated using the following formula:

impulse = m × Δv

where m is the mass of the ball and Δv is the change in velocity of the ball.

In this case, the initial velocity of the ball is 0 m/s, and the final velocity is 43 m/s. Therefore, the change in velocity is:

Δv = 43 m/s - 0 m/s = 43 m/s

Substituting the values into the equation for impulse, we get:

impulse = m × Δv

impulse = 0.53 kg × 43 m/s

impulse = 22.79 N·s

Now, we can use the impulse-momentum theorem to find the magnitude of the force exerted by the ball on Tom Brady's foot:

impulse = force × time

22.79 N·s = force × 0.021 s

force = 22.79 N·s / 0.021 s

force = 1085.71 N

Therefore, the magnitude of the force exerted by the ball on Tom Brady's foot is approximately 1085.71 N.

The answer is: 1085.71 N.

The acceleration of the eraser is 169.19 m/s².

A body travelling in a circle has centripetal acceleration. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude and a direction), when a body travels in a circle, its direction is continually changing, which causes a change in velocity, which results in an acceleration.

Given that angular velocity of the eraser: ω = 127 rpm

= 126×2π/60 radian/second

= 13.2 radian/second.

radius of the circle: r = 0.974 meter.

Hence, its centripetal acceleration is = ω²r

= 13.2×13.2×0.974 m/s²

=169.19 m/s².

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Answer:

Specific heat capacity of silver metal = 0.08184 J/kg°C

Explanation:

Given:

Mass of silver metal = 32 kg

Change in thermal energy = 55 J

Change in temperature = 21°C

Find:

Specific heat capacity of silver metal

Computation:

Using Specific heat capacity formula

C = ΔE / mΔT

where;

C = Specific heat capacity

ΔE = Change in thermal energy

m = Mass

ΔT = Change in temperature

C = (55) / (32)(21)

Specific heat capacity of silver metal = 55 / 672

Specific heat capacity of silver metal = 0.08184 J/kg°C

Answer:

velocity is 1 m/s

Explanation:

Answer:

Include: The object starts away from the origin.

The object moves toward the origin at a constant velocity.

The object stops for one second.

The object moves away from the origin at a greater constant velocity.

Explanation:

1. The Schrödinger equation is a fundamental equation in quantum mechanics that describes the behavior of particles. The general solution represents the wave function of a particle and provides information about its position and momentum.

3.Tunneling is a phenomenon in quantum mechanics where a particle can pass through a potential barrier even though it does not have enough energy to overcome the barrier classically.

1. The Schrödinger equation is a partial differential equation that was developed by Erwin Schrödinger in 1925 as a mathematical formulation of quantum mechanics. It describes how the wave function of a particle evolves over time. The equation takes the form:

Ĥψ = Eψ

Where Ĥ is the Hamiltonian operator, ψ is the wave function, E is the energy of the particle, and Ĥψ represents the operation of the Hamiltonian on the wave function.

The general solution to the Schrödinger equation represents the wave function of a particle. The wave function provides information about the probability distribution of the particle's position and momentum. It contains both real and imaginary components and is typically represented as a complex-valued function.

The wave function, ψ, can be written as a product of a spatial part and a temporal part:

ψ(x, t) = Ψ(x) * Φ(t)

The spatial part, Ψ(x), represents the probability amplitude of finding the particle at position x, while the temporal part, Φ(t), describes how the wave function evolves over time.

The Schrödinger equation and its general solution are essential tools in quantum mechanics, as they allow us to predict the behavior of particles on a microscopic scale. By solving the equation, we can determine the wave function of a particle and calculate probabilities associated with its position and momentum.

2.Case 1: Particle in a Box

In the case of a particle confined to a one-dimensional box, the potential energy is zero within the box and infinite outside of it. This situation can be represented by the following potential function:

V(x) = 0,  0 < x < L

V(x) = ∞,  x ≤ 0 or x ≥ L

To solve the Schrödinger equation for this case, we need to find the wave function (Ψ) and the corresponding energy levels (E). The general form of the wave function inside the box is given by:

Ψ(x) = A * sin(kx)

Where A is a normalization constant, and k = (2π/L).

Applying the boundary conditions, we find that the wave function must go to zero at both ends of the box (x = 0 and x = L). This leads to the quantization of the wave vector k:

k = nπ/L,  where n = 1, 2, 3, ...

The corresponding energy levels are given by:

E = (ħ²π²/2mL²) * n²

Where ħ is the reduced Planck's constant and m is the mass of the particle.

Case 2: Harmonic Oscillator

In the case of a particle in a harmonic oscillator potential, the potential energy can be described by:

V(x) = (1/2)kx²

Where k is the spring constant. To solve the Schrödinger equation for this potential, we use the harmonic oscillator equation:

- (ħ²/2m) * (d²Ψ/dx²) + (1/2)kx²Ψ = EΨ

The solutions to this equation are given by Hermite polynomials, and the corresponding energy levels are quantized. The wave function for the harmonic oscillator potential can be expressed as a product of a Gaussian function and a Hermite polynomial:

Ψ(x) = (A/π)\(^{(1/4)\) * exp(-αx²/2) * Hₙ(√αx)

Where A is a normalization constant, α = (√(mk/ħ)), and Hₙ is the Hermite polynomial of degree n.

The energy levels in the harmonic oscillator potential are given by:

E = (n + 1/2)ħω

Where n = 0, 1, 2, ... and ω = (√(k/m)) is the angular frequency of the oscillator.

These solutions provide insights into the behavior of electrons traveling in these potential systems, including the quantization of energy levels and the spatial distribution of the wave functions.

3. Tunneling is a phenomenon in quantum mechanics where a particle can pass through a potential barrier even though it does not have enough energy to overcome the barrier classically. This effect arises from the wave nature of particles, as described by the Schrödinger equation.

Tunneling has important implications in various areas of physics, such as nuclear fusion, quantum computing, and scanning tunneling microscopy. It allows for phenomena such as alpha decay, where alpha particles escape from atomic nuclei, and the operation of tunneling diodes in electronic devices.

Overall, tunneling is a fascinating quantum mechanical phenomenon that challenges our classical intuition and plays a crucial role in understanding the behavior of particles in the presence of potential barriers.

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Different stages of life require different nutritional needs. Teenagers grow physically so they need more calories and nutrients. Therefore, option (B) is correct.

Nutritional needs changes will continue throughout all life stages with the requirements for protein, calories, vitamins, and minerals adjusting as we grow older.

The physical needs of the human body change over time, and dietary needs at various life stages will change as a result of psychological, economic, and social aspects. The change in nutritional requirements for each life stage such as infants, children, teens, adults, and the elderly.

Due to the growth period, teenagers need a balanced diet packed full of nutrients including calcium, iron, and protein which will ensure they are getting these essential nutrients. Vegetables are good for older people as they reduce health risks.

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Answer:

In an atomizer, or perfume sprayer, you squeeze a rubber bulb to squirt air through a tube. Because of the Bernoulli principle, the air rushing through the tube has a lower pressure than the surrounding atmosphere. ... The perfume is pushed out of the tube and sprays into the air as a fine mist.

Explanation: