determine the magnitude e(r) by applying gauss's law. express e(r) in terms of some or all of the variables/constants q , r , and ϵ0

Answer:

atoms and molecules

Explanation:

as opposed to being continuous or just including particles). On the following page, the idea is stated as one of four concepts in Dalton's theory: “All matter is composed of tiny, indivisible particles called atoms”

Answer: atoms

Matter is made of atoms, the basic building blocks. Atoms are made of protons, neutrons and electrons. The answer is atoms.

Hope it helps!

The angular momentum of the satellite remains constant at the labeled locations (A, B, C, D).

How do quantities change in orbit?

Let's analyze the quantities that remain constant at the labeled locations (A, B, C, D):

A. The tidal force on the satellite: This force depends on the gravitational gradient and the satellite's position relative to the primary. Since the position changes along the elliptical orbit, the tidal force is not constant. Therefore, it does not remain constant at any labeled location.

B. The kinetic energy of the satellite: The kinetic energy of the satellite changes as it moves along its elliptical orbit. It is highest at the perigee (closest point to the primary) and lowest at the apogee (farthest point from the primary). Therefore, it does not remain constant at any labeled location.

C. The mechanical energy of the satellite: The mechanical energy of the satellite is the sum of its kinetic energy and gravitational potential energy. Since both of these quantities change along the elliptical orbit, the mechanical energy is not constant at any labeled location.

D. The work done by the force of gravitational attraction on the satellite: The work done by the force of gravitational attraction is given by the change in gravitational potential energy. As the satellite moves along its elliptical orbit, the distance from the primary changes, causing the gravitational potential energy to vary.

Therefore, the work done by the force of gravitational attraction is not constant at any labeled location.

E. The angular momentum of the satellite: The angular momentum of the satellite remains constant throughout its motion if no external torques act upon it. This is known as the conservation of angular momentum. Therefore, the angular momentum remains constant at all labeled locations (A, B, C, D).

F. The gravitational potential energy of the satellite: The gravitational potential energy of the satellite changes as it moves along its elliptical orbit. It is highest at the apogee and lowest at the perigee. Therefore, it does not remain constant at any labeled location.

In summary, the quantities that remain constant at the labeled locations (A, B, C, D) are:

The angular momentum of the satellite.

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Hi there!

Assuming the rod is pulled back 90° (π/2 radians), we can use angular kinematics to solve.

Using the equation:

\(\omega_f^2= \omega_i^2 + 2\alpha \theta\)

\(\omega_f\) = final angular velocity (? rad/sec)

\(\omega_i\) = initial angular velocity (0 rad/sec)

\(\alpha\) = angular acceleration (rad/sec², must solve for)

\(\theta\) = angular displacement (π/2 rad)

Recall Newton Second Law's rotational equivalent:
\(\Sigma \tau = I\alpha\)

τ = Torque (Nm)

I = Moment of inertia (kgm²)
α = angular acceleration (rad/sec²)

Setting the pivot point at the end, and knowing that the force of gravity works at an object's center of mass (1.5m from the rod's end), we can solve for the angular acceleration.

\(\tau= F \times r\\\\\tau = W \times r = 10(9.8) * 1.5 = 147 Nm\)

Now, solve for the moment of inertia given I = 1/3ML² at one of its ends:
\(I = \frac{1}{3}(10)(3^2) = 30 kgm^2\)

Solve for the angular acceleration:
\(147 = 30\alpha\\\\\alpha = 4.9 \frac{rad}{sec^2}\)

Now, we can use the kinematic equation to solve.

\(\omega_f^2 = 0 + 2(4.9)(\frac{\pi}{2}})\\\\\omega_f = \sqrt{2(4.9)(\frac{\pi}{2})} = \boxed{3.923 \frac{rad}{sec}}\)

The recoil (springing or flying back of the gun when shots are fired) momentum of a gun is the same as the momentum of the bullet it fires.

option C is the correct answer.

The principle of conservation of linear momentum states that in an isolated system, the sum of the initial momentum of the system is equal to the sum of the final momentum of the system.

Mathematically, the principle of conservation of linear momentum is written as;

Pi = Pf

where;

m₁u₁ = m₂u₂

where;

Thus, based on the principle of conservation of linear momentum the final momentum of the gun will always be equal to the final momentum of the bullet.

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Me das mas información?

Answer:

jello

Explanation:

it jiggles

Answer:

Inertia

Explanation:

Part of Newton's Laws of Motion

Answer:

According to Newton's first law:  An object at rest will remain at rest unless acted on by an unbalanced force. An object in motion continues in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

There is a force that moves the skater and his skate forward, after the hit, his speed is reduced, but this force is not completely counteracted, and that's why he continues moving forward.

The resultant speed of the airplane is 150 km/h, and this is the speed relative to the ground.

The resultant speed of the airplane is the single speed of the airplane that will produce same effect as the two speeds acting together.

To convince your classmate about the ground speed of the airplane we need to calculate the resultant speed of the airplane.

R² = Vp² + Vw²

where;

R² = Vp² + Vw²

R = √[Vp² + Vw²]

R = √[120² + 90²]

R = 150 km/h

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A mass on a spring undergoes simple harmonic motion. When the mass passes through the equilibrium position, its instantaneous velocity is maximum.

Simple harmonic motion or SHM is the alternating motion of an object that passes through a certain balance point. SHM has a fixed frequency and amplitude and is periodic, namely movements that occur regularly and are repeated at the same time.

When a spring undergoes simple harmonic motion, the mass accelerates in a direction toward the equilibrium point, then the velocity of the object at the equilibrium point is maximum. The object is accelerating in a direction toward the equilibrium point. Acceleration caused by the force recovered.

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Vector A=5.00i^+2.00j^​ and vector B=3.00i^−2.00j^​.  Vector C=3.00A−B. vector C = 3.00A - B is equal to 12.00i^ + 8.00j^.

To find vector C = 3.00A - B, we need to perform vector subtraction and scalar multiplication.

Given:

Vector A = 5.00i^ + 2.00j^

Vector B = 3.00i^ - 2.00j^

To subtract vectors, we subtract the corresponding components:

3.00A - B = (3.00 * 5.00)i^ + (3.00 * 2.00)j^ - 3.00i^ + 2.00j^

Simplifying the expression:

3.00A - B = 15.00i^ + 6.00j^ - 3.00i^ + 2.00j^

Combining like terms:

3.00A - B = (15.00i^ - 3.00i^) + (6.00j^ + 2.00j^)

Simplifying further:

3.00A - B = 12.00i^ + 8.00j^

Therefore, vector C = 3.00A - B is equal to 12.00i^ + 8.00j^.

Therefore option A is correct.

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Answer:-

The terminal velocity of a steel ball 2 mm in diameter falling through glycerin is 44×10 - ²

cm/s (Given that specific gravity of steel = 8, specific gravity of steel =8, specific gravity of glycerin a 1.3, viscosity of glycerine 8.3 poise.) .

The density of chlorine gas at 1.21 atm and 34.9°C is 3.21 g/L. This calculation was done using the ideal gas law

To calculate the density of chlorine gas, we can use the ideal gas law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin. We need to rearrange the formula to solve for density, which is mass per unit volume:

density = (mass of gas) / (volume of gas)

= (n x M) / V

where M is the molar mass of chlorine (70.9 g/mol).

First, we need to convert the temperature to Kelvin:

T = 34.9°C + 273.15

= 308.05 K

Next, we can use the given pressure and temperature to find the volume of the gas using the ideal gas law:

V = (nRT) / P

where R = 0.08206 L atm/(mol K)

V = (n x R x T) / P

= (1 x 0.08206 x 308.05) / 1.21

= 2.11 L

Finally, we can use the volume and molar mass to find the density:

density = (n x M) / V

= (1 x 70.9) / 2.11

= 3.21 g/L

The density of chlorine gas at 1.21 atm and 34.9°C is 3.21 g/L. This calculation was done using the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas to its physical properties.

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Since they are tightly packed, solids vibrate in place and have the least kinetic energy.

The vibration and movement of the particles are accelerated by kinetic energy. Due to the liquid's relative higher kinetic energy, particles in it slide past one another.

The kinetic hypothesis states that matter is made up of moving parts. Kinetic energy is what propels motion. The least kinetic energy is held by solid particles, while the most is held by gaseous particles.

The particles gather kinetic energy and accelerate as the temperature rises. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.

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Answer:

The time between the emission of the wave and it's reception was 0.4 seconds.

Explanation:

The sound wave emitted by the sonar traveled from the boat to the fishes and came back, therefore the distance of it's total route is twice the distance from the boat to the fishes. We can apply the average speed formula in order to solve this problem, this is done below:

\(\text{speed} = \frac{\text{distance}}{\text{time}}\)

We were given the distance traveled by the wave and it's speed, therefore we can solve for the time:

\(\text{time} = \frac{\text{distance}}{\text{speed}}\\\\\text{time} = \frac{(2*300)}{1500}\\\\\text{time} = \frac{600}{1500} = 0.4 \text{ s}\)

The time between the emission of the wave and it's reception was 0.4 seconds.

Answer:

if an object starts from rest it's initial velocity is zero

The change in refractive index of the glucose solution is 2.34.

Michelson interferometer is an instrument used to measure the refractive index of a substance. It uses a laser beam that is divided into two equal parts, and each part travels a different path before recombining to produce an interference pattern on a screen.

A cuvette of thickness 10 mm is placed in one arm containing a glucose solution. As the glucose concentration increases, 88 fringes are observed to emerge at the screen. We need to determine the change in refractive index of the glucose solution.

The fringe order is given by:

n = (2t/λ) * δwhere,

t = thickness of the cuvette

λ = wavelength of the laser

δ = refractive index of the glucose solution

Since we know the values of t, λ and n, we can solve for

δδ = (nλ) / (2t)

= (88 × 530 nm) / (2 × 10 mm)

= 2.34

Therefore, the  change in refractive index of the glucose solution is 2.34.

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The flux of the vector field F across the surface S in the indicated direction is -24π.  

We know that the flux of a vector field F across a surface S is given by the surface integral, ∫∫S F ⋅ dS. Here, dS is the surface area element, which is given by dS = ndS, where n is the unit normal to the surface S, and dS is the area element on the surface S. Let us determine the unit normal to the surface S. For the given surface S, we have the equation of the surface in cylindrical coordinates as z = 3r, where r = √(x^2 + y^2) is the radial coordinate. The unit normal to the surface S is then given by n = ( ∂z/∂r)i + ( ∂z/∂θ)j - k, where i, j, and k are the unit vectors along the x, y, and z axes respectively.  

We now evaluate the first integral. ∫∫S x4y dS = ∫₀⁴ ∫₀^(2π) (r cosθ) (4r sinθ) r dz dθ = 4 ∫₀⁴ ∫₀^(2π) r^3 cosθ sinθ dz dθ = 0. Using cylindrical coordinates, we have the equation of the surface S as z = 3r. Hence, z varies from 0 to 4, and r varies from 0 to √(16 − z^2). We now evaluate the second integral. ∫∫S z dS = ∫₀⁴ ∫₀^(2π) (3r) r dθ dz = 3 ∫₀⁴ ∫₀^(2π) r^2 dθ dz = 24π. Hence, we have ∫∫S F ⋅ dS = 3 ∫∫S x4y dS - ∫∫S z dS = 3(0) - 24π = -24π.

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Answer:

La distancia entre los dos cuerpos es aproximadamente 1.269 milímetros.

Explanation:

Asumamos que ambos cuerpos son partículas, la fuerza de atracción (\(F\)), en newtons, entre ambos cuerpos se define mediante la Ley de Newton de la Gravitación Universal, cuya ecuación es:

\(F = G \cdot \frac{m_{1}\cdot m_{2}}{r^{2}}\) (1)

Donde:

\(G\) - Constante de la gravitación universal, en metros cúbicos por kilogramo-segundo cuadrado.

\(m_{1}, m_{2}\) - Masas de los cuerpos, en kilogramos.

\(r\) - Distancia entre los cuerpos, en metros.

Si sabemos que \(G = 6.674\times 10^{-11}\,\frac{m^{3}}{kg\cdot s^{2}}\), \(m_{1} = 0.48\,kg\), \(m_{2} = 0.196\,kg\) y \(F = 3.9\times 10^{-6}\,N\), entonces la distancia entre los dos cuerpos es:

\(r = \sqrt{\frac{G\cdot m_{1}\cdot m_{2}}{F} }\)

\(r \approx 1.269\times 10^{-3}\,m\)

Es decir, la distancia entre los dos cuerpos es aproximadamente 1.269 milímetros.

In the Watt's Governor, fly balls represent the centrifugal force of the spindle.

A Watt's Governor is a device that is designed to control the speed of a steam engine or other machinery by regulating the amount of fuel delivered to the engine.

What is a Watt's Governor?

A Watt's Governor is an apparatus designed to automatically control the speed of a steam engine by regulating the fuel (coal or oil) going to the engine. The Watt's Governor was invented by James Watt in 1788. It is a simple device that consists of two rotating balls or flyballs, which are connected by a spindle. The spindle is connected to the engine and rotates as the engine speeds up or slows down.

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Answer:

b

Explanation:

when something has to do with chemical then a new substance can be produced

According to the information we can infer that a combinational circuit processes inputs and produces outputs based solely on the current input values, while a sequential circuit also depends on its previous state.

Combinational circuits process inputs and produce outputs based solely on the current input values, without any memory or feedback mechanism. The output is determined by the combination of current inputs only.

Sequential circuits, on the other hand, have memory elements or feedback loops that allow them to retain information about their previous state. They consider both the current inputs and the internal state to generate outputs, as they have a concept of time and can store and recall information.

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According to given data, the average speed of train is 25 km/h.

Given data,

distance = 5 km

time = 12 minutes

average speed = ?

changing time from minute to hour

So,

hour = 12 / 60

hour = 0.2

Then to calculate speed use the formula,

s = d / t

s = 5km / 0.2hr

s = 25 km/h

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector value, whereas speed is a scalar value. It has a dimension of time-distance. As a result, the basic unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.

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Answer:

Longitudinal waves

Explanation:

With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.

The acceleration of the proton is approximately 3.43 x 10^15 m/s^2.

A proton that moves at right angles to a magnetic field experiences a magnetic force that causes it to follow a circular path. This is due to the fact that the magnetic force acting on a charged particle moving at right angles to a magnetic field is proportional to the product of the magnetic field, the charge, and the velocity. As a result, the acceleration of the proton can be calculated using the following formula:

a = (qvB) / m

where q is the charge of the proton, v is its velocity, B is the magnetic field strength, and m is the mass of the proton.

Given that a proton moves with a speed of 9.5 m/s at right angles to a magnetic field of 1.5 T, the acceleration can be calculated as follows:

a = (qvB) / m = (1.602 x 10^-19 C x 9.5 m/s x 1.5 T) / (1.673 x 10^-27 kg)≈ 3.43 x 10^15 m/s^2

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Answer:

A

Explanation:

The amount of time necessary for half of anything to go through a process, such the amount of time needed for half of a radioactive substance's atoms to decay. Thus, option A is correct.

The period of time it takes for one-half of a radioactive isotope to decay is known as the half-life. An individual radioactive isotope's half-life is unaffected by environmental factors and is independent of the isotope's starting concentration.

Radiation emission stops after an atom achieves energy stability through radiation. A radionuclide's concentration falls over time, and its radioactivity declines. A (physical) half-life is the length of time required for radioactivity to degrade and diminish to half.

Therefore, The time it takes for half the parent nuclei in a sample to become daughter nuclei.

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If the truck is moving with the same velocity, if the mass is cut in half then the momentum of the truck will also reduce to half.

The momentum of a body can be described as the function of the object's mass and velocity. Momentum (p) can be determined as kinetic energy and is the product of velocity (v) and mass (m).

The momentum of an object can be determined from the mathematical formula:

p = m×v

The momentum of an object is conserved and can be equal to zero if the object is stationary and its velocity of an object is zero.

Given, the truck has a momentum, p = 5000 units

Given that the mass of the truck is reduced to half. Then the new mass of the truck is equal m/2.  If the truck is still moving with the same velocity then the momentum is equal to:

p' = m' ×v

p' = (m/2) ×v

p' = mv/2

p' = p/2

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Every action has an equal and opposite response, states Newton's third law of motion. Therefore, the boatman must push the water backward in order to move the boat forward.

What do you mean by third law of motion?

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Answer:

7572 m/s

Explanation:

The force between two masses separated by a distance r is given as:

\(F=G\frac{m_1m_2}{r^2}\)

Where F is the attractive force between 2 masses, m1 and m2, r is the distance between the centres of the masses and G is the universal gravitation constant, which is \(6.674*10^-11 Nm^2/kg^2\)

The mass of the earth (\(m_1\)) is far greater than the mass of the sputnik (\(m_2\)). Therefore \(m_1m_2=m_1\). The mass of the sputnik is neglected, therefore:

\(F=G\frac{m_1}{r^2}=\frac{(6.674*10^{-11})(5.98*10^{24})}{(6.96*10^6)^2} = 8.2389N\)

But F is actually centripetal acceleration, a = v²/r

\(8.2389 = v^2 / 6.96*10^6\\v=7572m/s\)