A brine solution of salt flows at a constant rate of ​l/min into a large tank that initially held l of brine solution in which was dissolved kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is ​kg/l, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach ​kg/l?.

Given that spring constant, k = 100 N/m and displacement, x = - 5mm = - 0.005 m

The formula of restoring force according to Hooke's law,

Substituting the values, we get

Thus, the force is 0.5 N

Answer:

it takes 64 J of heat energy to heat 2 kg of lead from 265 K to 315 K.

Explanation:

To find out how much heat is needed to heat 2 kg of lead from 265K to 315 K, we can use the formula for specific heat capacity, which is:

q = mcΔT

Where:

q = heat energy (in joules)

m = mass of the substance (in kilograms)

c = specific heat capacity of the substance (in joules per kilogram per degree Celsius)

ΔT = change in temperature (in degrees Celsius)

The specific heat capacity of lead is 0.128 J/g°C. we need to convert it to J/kg°C

So, the heat energy needed is:

q = (2 kg)(0.128 J/kg°C)(315 K - 265 K)

q = (2 kg)(0.128 J/kg°C)(50 K)

q = 64 J

Therefore, it takes 64 J of heat energy to heat 2 kg of lead from 265 K to 315 K.

Answer:

Im pretty sure its 11 m/s east because it is 22 m/s hitting 11 m/s and the force is harder hitting

Explanation:

im not 100% sure becasue i did this stuff a while ago

\({ \purple{ \tt{Here \: is \: your \: answer...}}}\)

Umm it's quiet difficult to understand. But let us note down the given values.

\({ \green{ \tt{given : - }}}\)

\({ \red{ \tt{ λ = 5000 \times {10}^{ - 10} m}}}\)

\({ \red{ \tt{ λ = 5 \times {10}^{ - 7}m}}} \)

\({ \red{ \tt{ \beta = 0.6cm = 6 \times {10}^{ - 3} m}}}\)

\({ \red{ \tt{D' = \frac{D}{2}}}}\)

\({ \red{ \tt{ \beta' = 0.003m = 3 \times {10}^{ - 3}m}}}\)

Answer:

transverse

Explanation:

Answer:

Transverse wave is the correct answer, the person above me is correct!

~Hope this helps! :)

The electric current that is flowing through the wire is: b. 1.5 A

In physics we can say that the intensity of the electric current is the magnitude that expresses the amount of electric charge or electric current in coulomb (c) that passes through an electric conductor in a given time in seconds (s). Its unit of measurement in the international system is the ampere (A).

To solve this exercise, the formula and procedure to be applied is:

I= q/t

Where:

Information about the problem:

Applying the electric current intensity formula, we get:

I= q/t

I= 12 C/ 8.0 s

I= 1.5 A

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The spring constant of the spring is approximately 4.56 N/m.

The spring constant can be found using the formula:
f = 1/2π √(k/m)
where f is the frequency of the oscillation,
k is the spring constant, and
m is the mass.

Rearranging this formula, we get:

k = (4π^2fm^2)

Substituting the given values, we get:

k = (4π^2 x 6 x (8.00 x 10^-3)^2)

k ≈ 4.56 N/m

In simple harmonic motion, the force acting on the object is directly proportional to its displacement from the equilibrium position and acts in the opposite direction of the displacement.

This can be represented by Hooke's Law, which states that the force applied by a spring is directly proportional to its extension or compression.

The spring constant represents the amount of force required to extend or compress a spring by a certain distance. In this case, we are given the frequency and mass of the block, and we can use the formula for the frequency of simple harmonic motion to find the spring constant.

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At the moment labeled B, the block is at the halfway point of its displacement. Therefore, the potential energy at this moment is. Meanwhile, the speed of the block at this moment is. Therefore, the kinetic energy is.

What is kinetic energy?
The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the object, which then moves at a new, constant speed. Kinetic energy is the type of energy that is transferred and is dependent on the mass as well as speed attained. Kinetic energy can be converted into different types of energy and transferred between objects. A flying squirrel may run into a chipmunk that is standing still, for instance. Some of the squirrel's initial kinetic energy may have been transferred to the chipmunk or changed into another form of energy after the collision.

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If a certain piece of metal is cooled, it will conduct electricity better, this statement is theory whereas, the amount of electric current that passes through a conductor is directly proportional to the voltage is known as law.

A hypothesis is a statement that may be true or false. A theory is a well-supported explanation of observations or data. A scientific law is a statement that explains the relationship between variables. Hypothesis is a statement that is given before performing an experiment. It can be true or false after we perform an experiment. When a number of experiments can be performed and the hypothesis comes out true then theory is evolved. When the statement is verified after performing large number of experiments, it becomes a law.

So we can conclude that if a certain piece of metal is cooled, it will conduct electricity better, this statement is theory whereas, the amount of electric current that passes through a conductor is directly proportional to the voltage is known as law.

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The velocity after 2 seconds is 26 m/s. It takes 11.50 seconds to reach a velocity of 40m/s.

Given the equation s(t) = 6t + 5t²

Let's find the velocity after 2 seconds.

(a) Velocity = (ds)/(dt)

Differentiating s(t) with respect to t, we get; ds(t) / dt = 6 + 10t

At t = 2,ds(t) / dt = 6 + 10t = 6 + 10(2) = 26m/s

Therefore, the velocity after 2 seconds is 26 m/s.

(b) We are to find how long it takes for the velocity to reach 40m/s. We know that the initial velocity of the ball, u = 6m/s. Acceleration = gsinθ = 9.81 x sin (angle of inclination) = 9.81 x 0.3 = 2.943 m/s²From the first equation of motion, v = u + at

We know v = 40m/s, u = 6m/s, a = 2.943m/s² and t is what we are to find, hence the equation becomes;40 = 6 + 2.943(t)t = (40 - 6) / 2.943t = 11.50s

Therefore, it takes 11.50 seconds to reach a velocity of 40m/s.

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Answer:

5 m/s

Explanation:

Given that,

A vehicle is moving with 20m/s towards the east and another is moving 15m/s towards the west​.

It is assumed to find the resultant velocity of the vehicle. Let east side is positive and west is negative. So,

\(v=v_1+v_2\\\\=20+(-15)\\\\=5\ m/s\)

Hence, the resultant velocity of the vehicle is equal to 5 m/s.

a) The acceleration of the system is 7.02 m/s².

b)  The tension in the cord on the 5.0 kg side be 14.04 N.

c)  The tension in the cord on the 2.0 kg side be  14.04 N.

Given parameters:

Mass of the two objects  5.0 kg and 2.0 kg.

They are connected by a light cord that passes over a horizontal frictionless rod.

Let the tension in the cord be T.

Acceleration of the system be a.

Then, equation of motion for 2 objects be:

T = 2.0 a

And. 5.0 g - T = 5.0 a

⇒ 5.0 × 10 -2.0 a = 5.0 a

⇒ 7.0 a = 50

⇒ a = 7.02 m/s².

And T = 2.0 ×7.02 N = 14.04 N.

Hence acceleration of the system be 7.02 m/s² and  the tension in the both cord is 14.04 N.

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Answer:

The velocity after 2.5 seconds is 11.3 m/s

Explanation:

Given;

u = 35.8 m/s

t = 2.50s

g = 9.8 m/s^2

Mathematically;

V = U-gt

Substituting these values;

V = 35.8-2.5(9.8)

V = 35.8-24.5

V = 11.3 m/s

The pressure tank is an essential component of many industrial processes, allowing for the safe and reliable storage of fluids and gases under high pressure.

A pressure tank is a container designed to store fluids and gases under high pressure. This type of container has a convex head, which means that the head of the container curves outward, allowing for more storage capacity. The container can store around 2,000 pounds (907 kg) of fluid or gas under high pressure, and is commonly used to store chlorine, which is a corrosive gas that can cause damage to other materials. The pressure tank is an example of a storage container that is designed to hold substances under high pressure.

These types of containers are typically used in industrial applications, such as chemical manufacturing, oil and gas production, and other high-pressure applications. The pressure tank is a reliable and durable container that is designed to withstand extreme conditions and protect the stored materials from contamination or damage. Pressure tanks are commonly used in the chemical industry to store and transport hazardous chemicals. They are also used in the oil and gas industry to store and transport natural gas and other gases. These containers are carefully designed to meet strict safety standards and regulations, ensuring that they are safe for use in various industrial applications.

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The net force on the rope will be 220 N. The net force is the algebraic sum of all the force acting on the rope.

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Mrs. Rodriguez’s class pulled with a force,F₁=720 N

Thompson’s class pulled in the opposite direction with a force,F₂=500 N

The net force is the algebraic sum of all the force;

\(\rm F_{net}= F_1-F_2 \\\\ \rm F_{net}= 720-500 \\\\ F_{net}=220 \ N\)

Hence, the net force on the rope will be 220 N.

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When middle polarizer is rotated rotated at 100 revolutions per minute we can take following steps into consideration-

This effect although not normally done with mechanical rotation, is the basis for making optical modulators that are used in high-speed digital communication systems by inserting the thermometer in solution and note down the temperature.

Remove the caps of polarimeter glass tube and measure the length of tube.

Setting up of sodium source in front of slit will be placed at the principal focus of lens of polarimeter.

\(Rotation=\alpha =\frac{\beta }{y}\)

β is the mean angle of rotation and y means length of polarimeter tube in decimeter.

\(y=\frac{len. of polarimeter}{10}\)

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Step 1;

Given,

The mass of the person, m=57.0 kg

The radius of the track, R=42.7 m

The normal force acting on the person, N=995 N

Step 2:

The centripetal force required for the person is provided by the sum of the difference in the normal force and the weight of the person.

Thus the centripetal force on the person is given by,

Where v is the speed with which the car and the person are moving and g is the acceleration due to gravity.

On rearranging the above equation,

Step 3:

On substituting the known values in the above equation,

Thus the velocity of the car is 18.08 m/s

Light will reflect at the same angle off a smooth surface as when it first touches it. The direction of reflected light beams for a flat surface is the same. Specular reflection is what is happening here.

When light reflects off of a surface, it happens. Light will reflect at the same angle it was incident upon if the surface is glossy and smooth.

A smooth polished surface is what is referred to as a reflection when a light ray strikes it and bounces back. Surface reflection occurs when a light beam hits it and then leaves it.

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Answer: The part of color that's reflected is the red that bounces off the paper.

Hope this helps you!!!

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The electric force between the comb and balloon changes as they are brought closer together the electric force increases, this is because the electric force is directly proportional to the distance between the two objects (the comb and the balloon).

As the distance between the two objects decreases, the electric force increases exponentially, the closer the two objects are brought together, the stronger the electric force becomes. The electric force between the comb and balloon is caused by the presence of static electricity. Static electricity is the buildup of electrical charges on the surface of an object. The buildup of charges is caused by the transfer of electrons from one object to another. When two objects come into contact with each other, there is a transfer of electrons between the two objects.

The object that loses electrons becomes positively charged, while the object that gains electrons becomes negatively charged.As a result of the transfer of electrons, one object becomes positively charged and the other becomes negatively charged. The opposite charges attract each other, causing the electric force between the two objects. Therefore, the electric force between the comb and balloon increases as they are brought closer together.

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Answer:

kinetic energy

Explanation:

When the wave receptor and wave source move relative to one another, the frequency of the wave remains constant. This phenomenon is known as the Doppler effect.

The Doppler effect is the change in the observed frequency of a wave when the wave source or receiver is moving relative to one another.

When the wave source and the wave receptor move relative to one another, the frequency of the wave remains the same because the frequency of a wave is determined by the source of the wave, not the observer's relative motion.

Relatively, the wavelength and the wave speed of the wave changes.

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Answer:

\(F=4.27N\)

Explanation:

From the question we are told that:

Current  \(I = 6.52 A\)

Angle \(\theta= 44.8 \textdegree\)

Magnetic field   \(B= 0.258 T.\)

Length \(l=3.61m\)

Generally the equation for  Magnetic force F is mathematically given by

 \(F=BIlsin\theta\)

Therefore

 \(F=0.258*6.52*3.61*sin 44.8\)

 \(F=4.27N\)

The pressure over the diver at a depth of 10 m in the ocean is 100,450 Pa. It is important to note that this pressure is in addition to the atmospheric pressure and may have adverse effects on the diver if not managed properly.

The pressure over the diver at a depth of 10 m in the ocean can be calculated using the formula: pressure = density x gravity x depth. Here, the density of the seawater is given as 1025 kg/m3 and the depth of the diver is 10 m. The acceleration due to gravity is 9.8 m/s2.
So, pressure = 1025 x 9.8 x 10 = 100,450 Pa.
Scuba divers use specialized equipment like pressure gauges and dive computers to monitor and control their exposure to pressure underwater. Additionally, they must follow safety guidelines and decompression procedures to avoid decompression sickness, a potentially life-threatening condition caused by the formation of gas bubbles in the bloodstream due to rapid changes in pressure.

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The time required for a car to complete the circular loop in the children's roller coaster is approximately 2.19 seconds.

The time it takes for the car to complete the circular loop using the given value of 11.5 m/s as the initial velocity.

The formula to calculate the time is:

T = (2 π r) / v

Plugging in the values, we have:

T = (2 π × 4.00 m) / 11.5 m/s

T = (2 × 3.14  × 4.00 m) / 11.5 m/s

T ≈ 2.19 s

Therefore, the correct answer is approximately 2.19 seconds.

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Answer:

The car must move at 2 m/s to have a Ke of 2,000 Joules.

Explanation:

Mark me pls

Answer:

-9ms-1

Explanation:

it will be dat because the initially both are moving at different direction,so for momentum to be conserved they had separate leading to the switching of the two initial velocities

4.28 m/s is the bird's speed immediately after swallowing the insect.

A) The birds speed after swallowing the insect is = 4.84 m/s

Given data :

mass of bird ( M₁ )  = 240 g

speed of bird ( U₁ ) = 6 m/s

mass of insect ( M₂ ) = 12 g

speed of insect ( U₂ )  = 30 m/s

Determine the birds speed of the bird

A) Birds speed after swallowing the insect

we will apply the principle of momentum conservation

M₁U₁  +  M₂U₂ = ( M₁ +M₂ )V

= 240*6 - 12*30 = ( 240 + 12 ) V

= 1440 - 360 = 252 V

therefore ; V =  1080 / 252 = 4.28 m/s is the bird's speed.

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Answer:

0

Explanation:

The bicyclist is not speeding up or slowing down so there is no acceleration.

Answer:

In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.

Explanation:

To find D, we just need to divide M by V.

M = 2.5 kg

V = 50 m³

D = M/V = 2.5 kg / 50 m³ = 0.05 kg/m³

The unit of density (D) is kg/m³, which can also be expressed as g/cm³.

In scientific notation, the density would be 5 x 10^-2 kg/m³ or 5 x 10^-2 g/cm³.