Two charged objects have a repulsive force of 0.080 N. If the distance separating the objects is tripled, then what is the new force?

According to the question the distance between the slit and the screen is 0.962 cm.

Distance is a numerical measurement of how far apart two objects, points, or places are. It is typically measured in units of length, such as meters, kilometers, feet, miles, or even light-years. Distance is used to calculate the length of a route between two points, the time it takes to travel a certain distance, the speed of an object moving a certain distance, and the area covered by a given distance. Distance can also be used to measure the magnitude of a given phenomenon, such as the distance between two stars. Distance is thus a fundamental concept in mathematics, physics, and everyday life.

The diffraction pattern of a single slit can be described by the equation:
y3,red = λL/d
Using the given values and solving for L, we get:
L = (d*y3,red) / λ
L = (0.15mm*4.05 cm) / (633.0 nm)
L = 0.962 cm
Therefore, the distance between the slit and the screen is 0.962 cm.

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The acceleration of the carts and the tension of the cord can be calculated using the formula a = (m1-m2)g/(m1+m2) and T = 2m1a.

The formula for the acceleration of the carts is a = (m1-m2)g/(m1+m2), where m1 and m2 are the masses of the carts and g is the acceleration due to gravity. The formula for the tension of the cord is T = 2m1a, where T is the tension in the cord and a is the acceleration of the carts.

In this problem, since there is no friction, the net force on the system is equal to the tension in the cord. Using these formulas, we can calculate both the acceleration and the tension in the cord. It is important to note that the acceleration will be positive if m1 is greater than m2 and negative if m1 is less than m2. This is because the heavier cart will move down the incline and the lighter cart will move up, causing the system to accelerate.

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According to Gauss' law for magnetism, magnetic field lines: start at south poles and end at north poles.

A magnetic field is an invisible force field created by a magnet or a moving electric charge. It is composed of lines of force that extend outwards from the magnet or charge in all directions. Magnetic fields are responsible for the attraction and repulsion of magnets, the force that causes a compass needle to point north, and the generation of electricity in a generator. They interact with electric currents and other magnetic fields, and can be used to detect and measure magnetic objects. The strength and direction of a magnetic field is measured in terms of magnetic flux density or magnetic induction, expressed in units of tesla (T).

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Part A: The radius of the first Bohr orbit in gravitational constant would be equal to which is given by [tex]$2GM/c^2$[/tex]. Part B: The energy of the first Bohr orbit would be given by the energy of a particle in a circular orbit.

The Gravitational Constant, denoted by the letter G, is a fundamental physical constant appearing in Newton’s law of universal gravitation. It is an universal constant of proportionality that appears on the right side of the equation F = Gm¹m²/r² and represents the strength of the gravitational force between two objects with masses m₁ and m₁ separated by a distance r. G has a value of 6.67 x 10-11 m3 kg-1 s-2, and it is the same regardless of the masses or separation of two objects in the universe.

Part A: The radius of the first Bohr orbit would be approximately equal to the Schwarzschild radius of the proton,, which is given by [tex]$2GM/c^2$[/tex], where [tex]$G$[/tex] is the gravitational constant, [tex]$M$[/tex] is the mass of the proton and [tex]$c$[/tex] is the speed of light.

Part B: The energy of the first Bohr orbit would be given by the energy of a particle in a circular orbit around a massive object, which is given by [tex]$GMm/2r$[/tex], where [tex]$m$[/tex] is the mass of the electron and [tex]$r$[/tex] is the radius of the orbit. Substituting in the radius of the first Bohr orbit from Part A would give us the energy of the first Bohr orbit.

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The type of interaction that took place is refraction. Refraction is when light changes direction as it passes from one material to another, and its speed is affected by the density of the material it is travelling through.

Refraction is a phenomenon of light where it bends when it passes through various mediums such as glass, water, or air. When light passes from one medium to another, it changes direction and bends towards the normal line, which is an imaginary line that is perpendicular to the surface of the medium. This phenomenon occurs because the speed of light changes when it passes through different mediums. For example, when light moves from a denser medium such as glass or water to a less dense medium such as air, it bends away from the normal line. Refraction also affects how we perceive things, as it changes the direction of the light, making objects appear closer or more distant than they actually are.

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True. Energy of motion, or kinetic energy, must be understood and counteracted when driving.

Reducing your speed and always wearing a safety belt will indeed lessen the kinetic energy and potential impact should a collision occur.

Kinetic energy is directly proportional to the mass of an object and the square of its velocity. When driving, the kinetic energy of a vehicle increases significantly as the speed increases.

This means that even a small increase in speed can result in a substantial increase in the vehicle's kinetic energy.

By reducing your speed, you effectively decrease the kinetic energy of your vehicle. This reduction in kinetic energy can significantly impact the outcome of a collision.

A lower kinetic energy means that the vehicle will require a shorter stopping distance and will generate less force upon impact.

Additionally, wearing a safety belt is vital for mitigating the effects of kinetic energy during a collision. Safety belts are designed to restrain occupants and prevent them from being thrown forward or out of the vehicle in the event of a sudden stop or collision.

By wearing a safety belt, the occupants' deceleration is controlled, reducing the risk of severe injuries caused by the abrupt change in kinetic energy.

It's important to note that while reducing speed and wearing a safety belt can help lessen the effects of kinetic energy, they are not the only factors to consider for safe driving.

Other factors, such as maintaining a safe following distance, being aware of road conditions, and obeying traffic rules, also play critical roles in preventing collisions and minimizing the impact of kinetic energy.

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Order of magnitude of gravitational force between two 3.0 kg spheres placed 6.0 m apart is approximately [tex]10^{-11} N[/tex].

What is the order of magnitude of gravitational force between two 3.0 kg spheres placed 6.0 m apart?

The formula for gravitational force between two masses is:

F =

[tex]G * (m1 * m2) / r^2[/tex]

Where:

G - Gravitational constant ([tex]6.67 x 10^{-11} N*m^{2}/kg^2[/tex])

m1, m2 - Masses of 2 objects

r - Distance bet. the centers of 2 objects

Putting values given, we will get:

[tex]F = (6.67 x 10^{-11}) * (3.0 kg)^2 / (6.0 m)^2[/tex]

Simplifying this expression, we get:

[tex]F = 5.55 x 10^-11 N[/tex]

Therefore, the order of magnitude of the gravitational attraction between the two spheres is approximately 10^-11 N.

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The index of refraction of benzene is 1.80. The critical angle for total internal reflection, at a benzene-air interface, is about: 47°.

Benzene is an organic chemical compound made up of six carbon atoms and six hydrogen atoms, arranged in a ring-like structure. It is a colorless, flammable liquid with a distinctive sweet odor. Benzene is a naturally occurring substance found in crude oil and is also found in gasoline and other consumer products. It is also an important industrial chemical, used in the production of plastics, resins, nylon, dyes, detergents, drugs and other chemicals. Exposure to benzene can cause serious health effects, including cancer, anemia, and damage to the immune system, reproductive system, and nervous system.

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Although neutrons are electrically neutral, neutron stars can still generate magnetic fields through a process called the "neutron star dynamo".
The neutron star dynamo is driven by the rapid rotation of the neutron star, which generates electric currents in the surrounding plasma. These currents, in turn, generate a magnetic field.
While charged particles are necessary for the generation of magnetic fields through the traditional dynamo mechanism, the neutron star dynamo is able to generate magnetic fields even in the absence of free charged particles. This is because the strong magnetic fields of the neutron star can induce current flow in the neutron star's interior, where the neutrons themselves become magnetized.
In summary, while the traditional dynamo mechanism relies on charged particles for the generation of magnetic fields, the neutron star dynamo is able to generate magnetic fields through the induction of current flow within the neutron star itself.

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If a battery provides a high voltage, it can (c) push a lot of charge through a circuit.

A battery's voltage determines the amount of electrical energy that each charge carries. A higher voltage means each charge carries more energy, which allows the battery to push more charge through a circuit. However, a high voltage does not necessarily mean the battery will last longer or do more work over its lifetime.

The amount of work a battery can do depends on its capacity, which is measured in ampere-hours (Ah) and determines how long the battery can supply a given amount of current.

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1. The coefficient of performance of the refrigerator is 0.588.

2. The entropy of the cold reservoir increases by 34.0 J/K per hour. This does not violate the Second Law of Thermodynamics because the entropy of the entire system, including the hot reservoir and the refrigerator, increases.

1. The coefficient of performance (COP) is the ratio of the heat removed from the cold reservoir to the work done on the refrigerator. COP = Qc/W, where Qc is the heat removed from the cold reservoir and W is the work done on the refrigerator. In this case, Qc = -10.0 kJ/h (negative because heat is being removed), and W is the amount of work done to move the heat from the cold reservoir to the hot reservoir, which is Qh = 17.0 kJ/h. Therefore, COP = -10.0/17.0 = -0.588, or 0.588 if we take the absolute value.

2. The Second Law of Thermodynamics states that the total entropy of an isolated system always increases or remains constant. In this case, the hot reservoir receives 17.0 kJ/h of heat, which increases its entropy by 17.0 J/K per hour. The refrigerator uses this heat to move 10.0 kJ/h of heat from the cold reservoir to the hot reservoir, which also increases the entropy of the system. Therefore, the total entropy change of the system is positive, as required by the Second Law.

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The pressure drop over the 15-m length of the pipe is 0.00108 Pa. This pressure drop is very small and can be neglected for all practical purposes.  

The pressure drop over the 15-m length of the pipe, we can use the formula for pressure drop in a pipe:

Δp = f * L * (ΔT / T)

here Δp is the pressure drop, f is the friction factor, L is the length of the pipe, ΔT is the temperature difference across the pipe, and T is the reference temperature.

Assuming that the temperature difference across the pipe is 10°C, and using a friction factor of 0.018, we can solve for the pressure drop as follows:

Δp = 0.018 * 15 m * (10°C / 20°C)

Δp = 0.00108 Pa

Therefore, the pressure drop over the 15-m length of the pipe is 0.00108 Pa. This pressure drop is very small and can be neglected for all practical purposes.  

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You should hold the magnifying glass approximately 5.48 cm away from the postage stamp to get a magnification of +2.

To determine the distance you should hold the magnifying glass from the postage stamp, we can use the lens formula and magnification formula. The given terms are:

Focal length (f) = 15 cm
Magnification (m) = +2

The lens formula is 1/f = 1/u + 1/v, where u is the object distance and v is the image distance. The magnification formula is m = -v/u.

First, we need to find the image distance (v). From the magnification formula, we have:

2 = -v/u => v = -2u

Now substitute this into the lens formula:

1/15 = 1/u + 1/(-2u)

To find u, solve this equation:

1/15 = (3u - 2u) / (2u^2) => u^2 = 30

u = sqrt(30) ≈ 5.48 cm

So you should hold the magnifying glass approximately 5.48 cm away from the postage stamp to get a magnification of +2.

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Both bullets will hit the ground at the same time if we neglect air resistance.

This is because, according to the laws of motion, the acceleration due to gravity is the same for both objects, regardless of their masses. Therefore,

However, in reality, air resistance will affect the trajectory of the bullet that is shot from the gun, causing it to slow down faster than the bullet that is simply dropped. This means that, in practice, the bullet that is dropped will hit the ground first.

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Answer:

the anser is 346 meters per seconed

Explanation:

I just lernd this at school

The sound waves detected by the observer have a greater frequency.

This is due to the Doppler effect, which is the change in frequency of a wave (in this case, sound waves) as the source of the wave moves relative to the observer. As the truck approaches the observer, the sound waves are compressed, resulting in a higher frequency (pitch) of the sound waves detected by the observer. Conversely, as the truck moves away from the observer, the sound waves are stretched out, resulting in a lower frequency of the sound waves detected by the observer.

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To determine the frictional torque exerted on the rotating platform, the date from the measurement needs to be analyzed. The first step is to gather the relevant data, such as the rotational speed of the platform and the force needed to rotate it. This information can then be used to calculate the torque required to overcome the frictional forces.
Next, the data can be plotted on a graph to determine any patterns or trends. For example, if the force required to rotate the platform increases as the speed increases, it may indicate that there is a significant amount of friction present. On the other hand, if the force required remains constant regardless of the speed, it may suggest that the frictional forces are negligible.
Another approach is to use mathematical models to estimate the frictional torque based on the properties of the materials involved. This can involve complex calculations, but can provide a more accurate assessment of the frictional forces present.
Ultimately, a combination of experimental data and theoretical models can be used to determine the frictional torque exerted on the rotating platform. By analyzing the data, researchers can gain a better understanding of the underlying mechanisms and make informed decisions about how to minimize friction and improve the performance of the system.
To determine the frictional torque exerted on the rotating platform, you can analyze the data from the measurement by considering the following terms:

1. Force: Measure the force applied to the rotating platform. This can be done using a force sensor or by calculating the force based on the known mass and acceleration of the platform.

2. Distance: Determine the distance between the point of force application and the axis of rotation. This is known as the moment arm.

3. Frictional torque: Calculate the frictional torque exerted on the rotating platform by multiplying the force by the distance (moment arm). The frictional torque opposes the motion of the platform and is responsible for slowing it down.

4. Analyze the data: You can plot the frictional torque as a function of time, speed, or other relevant factors to analyze the relationship between these variables and understand how the frictional torque impacts the rotation of the platform. This analysis will help you determine the effectiveness of the platform's design and identify areas for potential improvement.

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The angular displacement of the pendulum with respect to the starting position can be calculated by subtracting the counterclockwise displacement from the clockwise displacement. In this case, the direct answer would be 10 degrees (60 degrees - 50 degrees = 10 degrees).

To explain further, the pendulum starts at a certain position, then swings 60 degrees clockwise to a new position, and then swings 50 degrees counterclockwise from that new position.

The final position of the pendulum is only 10 degrees away from its starting position.

The angular displacement of the pendulum with respect to the starting position is 10 degrees clockwise.

The pendulum initially swings 60 degrees clockwise and then 50 degrees counterclockwise. To find the net angular displacement, subtract the counterclockwise swing from the clockwise swing.

Angular displacement (clockwise) = 60 degrees - 50 degrees (counterclockwise) = 10 degrees. Therefore, the angular displacement of the pendulum with respect to the starting position is 10 degrees in the clockwise direction.

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The heat produced by the combustion of the glucose sample is 6,873 J.

Heat is a form of energy that is transferred from an object or material of higher temperature to one of lower temperature. Heat is measured in units of thermal energy called joules (J). Heat is a form of kinetic energy that is created by the motion of atoms and molecules. Heat is one of the six fundamental forms of energy, along with mechanical energy, chemical energy, electrical energy, nuclear energy, and radiant energy. Heat can be transferred in three ways: conduction, convection, and radiation.

The heat produced by the combustion of the benzene sample can be calculated using the equation q = mcΔT,
where q is the heat produced, m is the mass of the sample,
c is the heat capacity of the calorimeter, and
ΔT is the change in temperature.
Plugging in the given values, we get q = (0.963 g)(784 J/°C)(8.39 °C) = 6,873 J.
Therefore, the heat produced by the combustion of the glucose sample is 6,873 J.

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The tension in the horizontal segment of the wire can be found by applying the principle of conservation of energy. When the system is released, the potential energy stored in the spring is converted into kinetic energy.

This kinetic energy is then transferred to the mass as it moves down, and finally converted into potential energy again as the mass reaches its lowest point.

At this point, the tension in the horizontal segment of the wire is equal to the weight of the mass.The potential energy stored in the spring is given by the formula: PE = 1/2 k x^2, where k is the spring constant and x is the displacement from the equilibrium position. When the mass is released, this potential energy is converted into kinetic energy, which is given by the formula: KE = 1/2 m v^2, where m is the mass and v is the velocity.

As the mass moves down, its velocity increases due to the force of gravity. At the lowest point, the velocity is maximum and the kinetic energy is equal to the potential energy stored in the spring. At this point, the tension in the horizontal segment of the wire is equal to the weight of the mass, which is given by the formula: F = m g, where g is the acceleration due to gravity.

Therefore, the tension in the horizontal segment of the wire can be found by setting the weight of the mass equal to the potential energy stored in the spring and solving for the tension. The answer should be expressed in units of Newtons (N), which is the unit of force.

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IMAX is the maximum value of the amplitude of the current oscillations in the circuit. It is the highest point that the current reaches during the oscillation cycle.

IMAX is an important parameter to consider when designing and analyzing circuits, as it helps to determine the power and energy requirements of the system. IMAX can be calculated using Ohm's law and the impedance of the circuit.

To determine the amplitude of the current oscillations (I_max) in the circuit, please follow these steps:

1. Identify the circuit's elements, such as resistors, capacitors, and inductors.
2. Determine the values of these elements, including resistance (R), capacitance (C), and inductance (L).
3. Calculate the circuit's resonant frequency (f) using the formula: f = 1 / (2 * π * √(L * C)).
4. Calculate the circuit's impedance (Z) at the resonant frequency using the formula: Z = R + j (ωL - 1/ωC), where j is the imaginary unit, and ω = 2 * π * f.
5. Find the amplitude of the voltage oscillations (V_max) across the circuit.
6. Finally, determine the amplitude of the current oscillations (I_max) using Ohm's law: I_max = V_max / Z, considering only the magnitudes of V_max and Z.

By following these steps and using the given circuit element values, you can find the amplitude of the current oscillations (I_max) in the circuit.

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A) A planet's angular momentum must be conserved as it moves around its orbit.

Velocity is a measure of the rate of change of an object's position over a period of time. It is a vector quantity, which means that it has both a magnitude and a direction. Velocity is the combination of speed and direction of an object. It is measured in m/s (metres per second) and can be calculated by dividing the distance moved by the time taken.

This is the best explanation for why Kepler's second law is true, as it states that a planet's speed varies depending on its distance from the Sun, which can be explained by conservation of angular momentum. This means that as the planet moves closer to the Sun, its speed increases, and as it moves away from the Sun, its speed decreases.

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Complete Question:
45) According to what we now know from Newton's laws, which of the following best explains why Kepler's second law is true?
A) A planet's angular momentum must be conserved as it moves around its orbit.
B) Orbits must be elliptical in shape.
C) Gravity is an inverse cube law.
D) This effect happens because of the influence of other planets on a particular planet's orbit.

The magnetic field energy stored in a 4.4 m length of the coaxial cable with a current of 2.5 A and an outer radius five times its inner radius is 1.37 * 10^-4 J.

It can be calculated using the formula:

B^2 / (2μ) * V

Where B is the magnetic field, μ is the permeability of the medium (in this case, air), and V is the volume of the cable. The magnetic field can be found using Ampere's law, which states that the magnetic field around a current-carrying wire is proportional to the current and the distance from the wire.

After finding the magnetic field, we can then calculate the volume of the cable using the formula for the volume of a cylinder, which is:

V = πr^2h

Where r is the radius of the cable and h is its length. With the given values, we can calculate the volume to be:

V = π(0.2)^2(4.4) = 0.351 m^3

Substituting this value and the magnetic field value into the formula for magnetic field energy, we get:

B^2 / (2μ) * V = (μ0 * I^2 * r^2 / 2) * πr^2h

= (4π * 10^-7 * (2.5)^2 * (0.2)^2 / 2) * π(0.2)^2(4.4)

= 1.37 * 10^-4 J

Therefore, the conclusion is that the magnetic field energy stored in a 4.4 m length of the coaxial cable with a current of 2.5 A and an outer radius five times its inner radius is 1.37 * 10^-4 J.

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Assuming that the ball continues to bounce indefinitely, the total distance the ball travels is 70 m.

Distance is the measure of how far apart objects, people, or places are. It is a numerical measurement of how far apart two points are in space. Distance is measured in a variety of units, such as meters, kilometers, miles, and light-years. The concept of distance can also be applied to time, with the definition of the temporal distance between two events. Distance is an important concept in many fields, including mathematics, physics, geography, and astronomy.

Let D be the total distance the ball travels. We can use a geometric series to find D. The ball starts at a height of 10 m and the ratio of each successive height is 5/7. This means the sequence of height is [tex]10, (5/7)*10, (5/7)^2*10,...[/tex] and so on. The total distance traveled is the sum of this infinite series. [tex]D = 10 + (5/7)*10 + (5/7)^2*10 + (5/7)^3*10 + ...[/tex]

We can use the formula for the sum of an infinite geometric series to find [tex]D: D = 10 (1 + (5/7) + (5/7)^2 + (5/7)^3 + ...)[/tex]

We can use the formula for a geometric series to calculate the sum in the parentheses: D = 10 (1/(1 - (5/7)))

D = 10 * (7/2)

D = 70 m

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The focal length of the glasses needed is 18.04cm.

1) To determine the focal length (f) of the glasses needed when they are 2 cm away from her eyes, we can use the lens equation:

1/f = 1/do + 1/di

Where do is the object distance (25 cm), di is the image distance (60 cm - 2 cm = 58 cm). Plugging in the values:

1/f2cm = 1/25 + 1/58
f2cm = 1/(1/25 + 1/58) ≈ 18.04 cm

2) For the glasses that are 3 cm away from her eyes, di will be 60 cm - 3 cm = 57 cm. Using the lens equation:

1/f3cm = 1/25 + 1/57
f3cm = 1/(1/25 + 1/57) ≈ 17.32 cm

3) To find the focal length of the contact lenses needed for a nearsighted person, we need to use the lens equation:

1/f = 1/do + 1/di

Since he wants to see objects at a great distance (infinity), the image distance (di) will be at his farpoint. For the left eye, the farpoint is 482 cm, and the object is at infinity (do = ∞). Plugging in the values:

1/fleft = 1/∞ + 1/482
fleft = 1/(0 + 1/482) ≈ -482 cm

4) For the right eye, the farpoint is 632 cm. Using the lens equation:

1/fright = 1/∞ + 1/632
fright = 1/(0 + 1/632) ≈ -632 cm

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If the potential inside the infinite well is linearly varying, then the particle experiences a force that increases linearly as the particle moves from one end of the well to the other.

This means that the particle will have an acceleration that increases linearly and its velocity will increase linearly as well. As a result, the de Broglie wavelength, which is inversely proportional to the momentum, will decrease linearly across the well.

A plausible wave function for the particle in this situation would be a sine wave with decreasing wavelength across the well. The amplitude of the wave would decrease towards the edges of the well, reflecting the fact that the probability of finding the particle near the edges is lower due to the increasing potential energy there.

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The acceleration of the elevator is 2.6 m/s^2 upwards.

The apparent increase in mass measured by the bathroom scale is due to the acceleration of the elevator. According to Newton's second law, force is equal to mass times acceleration (F = ma). In this case, the force that the scale exerts on the person is equal to their apparent mass (82 kg) times the acceleration of the elevator (a). However, the person's actual mass is 65 kg, so the force due to gravity acting on them is less than the force measured by the scale. Therefore, we can use the equation F = ma to calculate the acceleration of the elevator. The difference between the apparent mass and the actual mass is 17 kg, so the force measured by the scale is 17 kg times the acceleration of the elevator. Setting this equal to the weight of the person (65 kg times the acceleration due to gravity), we can solve for the acceleration of the elevator. The result is approximately 2.64 m/s^2 upwards.

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"25m due East" is an example of a vector quantity because it includes both a magnitude (25m) and a direction (due East), which are necessary to fully describe the quantity. A scalar quantity, on the other hand, only includes a magnitude.

In more detail, a vector quantity is a physical quantity that has both magnitude and direction. This means that in order to fully describe a vector quantity, you need to specify both the size (or magnitude) of the quantity and its direction. For example, velocity, force, and displacement are all examples of vector quantities. In the case of "25m due East", the magnitude is 25 meters and the direction is due East. This fully describes the quantity, as it tells you both how far you are going (25m) and in which direction (East). If the direction were not specified, the quantity would be incomplete and not fully descriptive. Therefore, "25m due East" is an example of a vector quantity.

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According to the question the rms speed of the molecules is 790.

Molecules are the smallest units of matter that can exist independently and still retain the properties of the larger material they are part of. They are made up of two or more atoms that are held together in a strong chemical bond. Molecules can be found in all types of matter, from solids to liquids to gases. They are responsible for the chemical and physical properties of substances, and they play a major role in many processes in chemistry and biology. Without molecules, life as we know it could not exist. Molecules are constantly interacting with one another in chemical reactions, forming and breaking bonds as they go. Understanding the structure and behavior of molecules is an essential part of chemistry and many other scientific disciplines.

[tex]vrms = (3kBT/m)^{1/2[/tex]
where kB is the Boltzmann constant, T is the temperature, and m is the molar mass of the gas.
Plugging in the given values, we get:
[tex]vrms = (3(1.38 \times 10-23 J/K)(273 K)/(2(14.0067 g/mol))^1/2\\vrms = 790 m/s.[/tex]The correct Therefore, the correct option is B.

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