A tank contains gallons of water and oz of salt. Water containing a salt concentration of oz/gal flows into the tank at a rate of gal/min, and the mixture in the tank flows out at the same rate. The long-time behavior of the solution is an oscillation about a certain constant level. What is this level? what is the amplitude of the oscillation?.

Answer: hi your question is incomplete  attached below is the complete question

answer :

magnitude of acceleration :  | a | = g = 9.81 m/s^2

direction : a = - g j

Explanation:

Neglecting Air resistance

magnitude of acceleration :

| a | = g = 9.81 m/s^2

Direction of acceleration

a = - g j  ( given that the direction of acceleration is against the acceleration due to gravity i.e. in the opposite direction )

Answer:

28.28 ms-1

Explanation:

v² = u² + 2as

v² = 20² + 2× 2×100

v² = 800

v = 28.28 ms-1

The force acting on a moving charge is known as the magnetic force. The force acting on the charge will be 3.75 N.

Magnetic fields only exert a force on a moving electric charge. A moving charge generates a magnetic field. With an increase in charge and magnetic field strength, this force rises.

when charges have higher velocities, the force is stronger. However, the magnetic force is always perpendicular to the velocity.

Mathematically the force exerted on the charge will be

F=qvBsinα

F= force acting on the charge

v = velocity of charge

q = charge

F=qvBsinα

F=2.5×10⁻⁶×5.0×10³×3.0×10²

F=37.5 N

Hence The force acting on the charge will be 3.75 N.

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F = q V B sinα

Where F is the force applied to a moving charge.

V = charge velocity

q stands for charge.

α = angle between V and B directions

As a result, the moving charge is subjected to a force of 3.75 Newton.

The airplane's airspeed is 120.0 km/h, with a heading of 30.0° east of north. We can break this down into northward and eastward components. The northward component is 120.0 km/h * cos(30.0°) ≈ 103.9 km/h, and the eastward component is 120.0 km/h * sin(30.0°) ≈ 60.0 km/h.

The wind is blowing towards the west at 30.0 km/h, so it has a westward component of 30.0 km/h.

To find the airplane's ground speed, we need to combine these components. The northward component remains unchanged at 103.9 km/h, while the eastward component gets reduced due to the westward wind, giving us 60.0 km/h - 30.0 km/h = 30.0 km/h.

Now, we can find the resultant ground speed using the Pythagorean theorem: √((103.9 km/h)^2 + (30.0 km/h)^2) ≈ 107.9 km/h.

So, the approximate speed of the plane relative to the ground is 107.9 km/h.

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Explanation:

Michael should put the vase at the bottom of the shelf to reduce the potential energy because the height of the vase to the floor is nearly zero.

Barometric pressure of 1000 mb is considered average. A pressure above 1013 mb is high, indicating fair weather, while a pressure below 1000 mb is low, indicating stormy weather.

Barometric pressure refers to the pressure exerted by the atmosphere on a particular area. It is commonly measured in millibars (mb). Generally, a barometric pressure of 1000 mb is considered average or normal.

High barometric pressure, also known as a high-pressure system, is typically above 1013 mb. It is associated with clear skies, stable weather conditions, and cooler temperatures. High pressure often brings fair weather and calm winds.

On the other hand, low barometric pressure, also known as a low-pressure system, is typically below 1000 mb. It is associated with cloudy or stormy weather, as well as higher temperatures. Low pressure systems often bring precipitation, strong winds, and potentially severe weather conditions.

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Therefore, based on the estimated duration of a galactic year, Earth has been around for approximately 18.4 to 20.4 galactic ye

A "galactic year" refers to the time it takes for our solar system to complete one orbit around the Milky Way galaxy. The exact duration of a galactic year is not precisely determined due to various factors, such as the varying speeds of stars within the galaxy. However, it is estimated to be roughly 225-250 million years.

To calculate the number of galactic years Earth has been around based on the age of the solar system (4.6 billion years), we can divide the age of the solar system by the estimated duration of a galactic year:

Number of Galactic Years = Age of the Solar System ÷ Duration of a Galactic Year

Number of Galactic Years = 4.6 billion years ÷ 225-250 million years

Number of Galactic Years ≈ 18.4 to 20.4 galactic years

Therefore, based on the estimated duration of a galactic year, Earth has been around for approximately 18.4 to 20.4 galactic years.

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As the altitude decreases,air pressure increases. The statement is true. Option A is correct.

The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure.

It is denoted by P. The pressure relative to the ambient pressure is known as gauge pressure.

As the altitude decreases,air pressure increases. The statement is true.

Hence, option A is correct, and the given statement is true.

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Answer: I believe the correct answer is A.

False

Virtual image cannot be caught on a screen

Voyager 2 passed closer to the southern magnetic pole of Uranus.

During its flyby of Uranus in 1986. This was determined by the measurements taken by the spacecraft's instruments, which detected the magnetic field of Uranus and allowed scientists to map its magnetic structure.

The spacecraft's trajectory and the data collected indicated that Voyager 2 passed nearer to the southern magnetic pole than the northern one. This encounter provided valuable insights into the magnetic field and overall magnetosphere of Uranus, contributing to our understanding of the planet's unique characteristics and the dynamics of its magnetic environment.

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Answer:

v_t = \(\frac{2 g \ ( \rho_b - \rho_l ) r^2 }{9 \ \eta }\)

Explanation:

Let's describe the motion and forces on the marble when it falls into the graduated cylinder filled with water.

Initially, the marble in the air falls under the influence of its weight (gravity force), when it enters the water, a friction force appears that INCREASES with SPEED and opposes the movement, this force is called Stokes force.

              Fr = 6π R η v

where η is the viscosity of water

also because of this in a liquid it has an upward thrust, given by Archimedes' law, this thrust is CONSTANT

              B = ρ_l g V_l

in that case the volume of liquid(V_l)  is equal to the volume of the marble.

Constant force of gravity

               W = mg

using the concept of density

                ρ_body = m / V

                W = ρ_body g V_body

we apply Newton's second law

                Fr + B - W = ma

the friction force increases and the other two are constant, so acceleration decreases until reaching zero, at this point the forces are in BALANCE

                Fr + B - W = 0

and the speed remains constant, being called TERMINAL SPEED

                v_t = \(\frac{2 g \ ( \rho_b - \rho_l ) r^2 }{9 \ \eta }\)

from this point on, the displacement is proportional to the time

The current in each loop of the solenoid is 6.25 A. current is placed inside the solenoid, we can assume that the current passing through each loop is the same.

The solenoid is 17 cm long and has 800 loops of wire. Since the wire carrying the 5.0 A current is placed inside the solenoid, we can assume that the current passing through each loop is the same.

To find the current in each loop, we can use the formula:

I_solenoid = N * I_wire

Where:

I_solenoid is the current in the solenoid,

N is the number of loops,

I_wire is the current in the wire.

Plugging in the values, we have:

I_solenoid = 800 * I_wire

5.0 A = 800 * I_wire

Solving for I_wire, we get:

I_wire = 5.0 A / 800 = 0.00625 A

Therefore, the current in each loop of the solenoid is 6.25 A.

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Answer:

The Earth orbits the sun once every 365 days and rotates about its axis once every 24 hours.

Explanation:

Day and night are due to the Earth rotating on its axis, not its orbiting around the sun. The term 'one day' is determined by the time the Earth takes to rotate once on its axis and includes both day time and night time.

By Ohm's Law, the voltage across the circuit is D. 12 v.

We need to know about Ohm's Law to solve this problem. Ohm's Law describes the relationship between voltage and current. It can be determined as

V / I = R

where V is voltage, I is current and R is resistance.

From the question above, we know that

I = 0.5 A

R = 24 Ω

By substituting the following parameters, we can calculate the voltage

V / I = R

V = I x R

V = 0.5 x 24

V = 12 volt

Hence, the voltage is 12 volts.

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Answer:

some of the energy is transformed to thermal energy

Answer:

some of the energy transforms to thermal energy

Explanation:

Answer:

A combinational logic circuit is a circuit whose outputs only depend on the current state of its inputs. In mathematical terms, the each output is a function of the inputs. These functions can be described using logic expressions, but is most often (at least initially) using truth tables.

Answer: the answer is 3rd

Answer:

Its Newton third law of motion.

Explanation:

For every action,there is equal and opposite reaction.

Answer:

atom

Explanation:

the first guy who gave link this is for you:

we cannot use links in brainly

Thankyou.

Answer:

twice as much work

Explanation:

Answer:

dynamic im pretty sure that's it

The absolute pressure on the submersible vehicle is 332.5 kPa and the force on the window is 23.4 N.

(a) The submersible vehicle is in the lake at a depth of 23.6m and the density of the water is given to be 1000 kg/m³. The pressure due to air above the water surface is 101.3 kPa.

Now, the absolute pressure at that point in the lake will be,

P = pgh + 101.3kPa.

P = 1000 x 9.8 x 23.6 + 101.3kPa.

P = (231.2 + 101.3)kPa

P = 332.5 kPa.

So, the absolute pressure is 332.5 kPa.

(b) The force on the window will be given as,

Force = Pressure x area

Area = π(D/2)², D is the diameter of the window.

Area = 3.14(0.3/2)²

Area = 0.070 m².

Now, the force = 0.070 x 332.5

The force on the window is 23.4 N.

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Answer:

v = 51.60 m/s

Explanation:

To calculate the velocity of the Earth around the sun you use the following formula, which comes from the universal gravitational Law:

\(v=\sqrt{\frac{GM_E}{r}}\)

M_E: Earth's mass = 5.97*10^24 kg

r: distance between the Sun and the Earth = 149 600 000 km =m

G: Cavendish's constant = 6.674×10−11 m3⋅kg−1⋅s−2

You replace the values of G, M_E and r in the equation for v:

\(v=\sqrt{\frac{(6.674*10^{-11}m^3/kgs^2)(5.97*10^{24} kg)}{ 1.496*10^{11}m }}\\\\v=51.60\frac{m}{s}\)

hence, the velocity of traslation of the Earth is 51.60 m/s

Atoms of the same element that contain different numbers of neutrons are called Isotopes.

Isotopes are members of an element family that have the same number of protons but differ in the number of neutrons. The atomic number of an element on the Periodic Table is determined by the number of protons in its nucleus.

The mass of an isotope, which is the total amount of protons and neutrons, is used to identify it. Isotopes are often written in one of two ways. They both employ the atomic mass, which is defined as mass = (number of protons) + (number of neutrons).

Carbon-14, tritium (hydrogen-3), chlorine-36, uranium-235, and uranium-238 are examples of radioactive isotopes.

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Answer:

I think this is how you do it

Explanation:

The segments have heterogeneous mass distributions. The segments are of irregular shapes.

In physics and mechanics, mass distribution is the mass distribution of mass inside a solid body. In precept, it's miles applicable additionally for gases or drinks, however on this planet their mass distribution is sort of homogeneous.

We recognise that the bigger the mass of an object, the smaller its acceleration for a given force. further, the larger the instant of inertia of an item, the smaller the angular acceleration for a given implemented second or torque.

A continuous mass distribution is unfold out in area. each point within the body is attached to the whole, there are no gaps. If the density is the equal at all factors within its boundaries it's far uniform.

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Answer: The position of an element on the periodic table, see resources, tells you the type of ions it will form, with the elements on the right forming anions (negative charge) and those further to the left forming cations (positive charge).

Hope this helps any