A crane lifts a steel submarine of density 7800 kg/m3 and mass 20,000 kg. What is the tension in the lifting cable (a) when the submarine is submerged in water of density 1000 kg/m3, and (b) when it is entirely out of the water?
A) (a) 2.0 x 10^5 N (b) 2.6 x 10^3 N
B) (a) 2.0 x 10^5 N (b) 1.7 x 10^5 N
C) (a) 2.6 x 10^3 N (b) 2.0 x 10^5 N
D) (a) 1.7 x 10^5 N (b) 2.0 x 10^5 N

In the first paragraph, particles called "quarks" and "leptons" are described as the "basic building blocks" of matter, and the standard model is a theory of particle physics that describes how these particles interact with each other and with other forces of nature.

The standard model of particle physics explains how the fundamental particles of matter interact, including the strong and weak nuclear forces and the electromagnetic force. The Higgs boson, a fundamental particle that gives all other particles mass, was also discovered through research related to the standard model. It is the most successful theory of particle physics and is used to make predictions about the behavior of particles at extremely high energies.

Learn more about matter https://brainly.com/question/3998772

#SPJ11

The maximum angle at which a light ray can enter a fiber and remain entirely within it is called the acceptance angle.

The acceptance angle ensures that the light undergoes total internal reflection within the fiber, allowing it to propagate effectively. If the angle exceeds the acceptance angle, the light will escape the fiber.

In fiber optics, the acceptance angle is determined by the refractive index of the fiber core and the surrounding medium. It can be calculated using Snell's Law, which relates the angles and refractive indices of the incident and transmitted light. By manipulating Snell's Law, it is possible to determine the critical angle beyond which the light will not undergo total internal reflection. This critical angle is equal to the acceptance angle for the fiber. It is important to note that different types of fibers have different acceptance angles, depending on their design and refractive indices.

To know more about acceptance angle, click here:

https://brainly.com/question/31968525

#SPJ11

The resistance of the wire at 150ºC is 39.2 Ω.

Given data

          Length of the wire, l = 26 m

    Diameter of the wire, d = 0.075 mm

Resistance of the wire, R1 = 51 ΩTemperature, T1 = 20 °C

We know that the resistance of a wire depends on its resistivity, length and cross-sectional area.

And, the resistivity of the wire's material can be calculated as follows:Resistivity formula

The resistance of a wire can be calculated by using the following formula:

Resistance formula Now, let's calculate the resistivity of the wire's material.

Resistivity calculation We know that the formula for resistance of a wire is given by;

Resistance formula Where l is the length of the wire, A is the cross-sectional area of the wire, ρ is the resistivity of the wire, and R is the resistance of the wire.

So, we can rewrite this equation as: Resistivity formula

Therefore, the resistivity of the wire's material is 1.58 x 10^-8 Ωm.Now, we have to calculate its resistance at 150ºC, in ohms, if the temperature coefficient of resistivity is the same as that of gold.

At 20ºC, the resistivity of gold is 2.44 x 10^-8 Ωm and its temperature coefficient of resistivity is 0.0034 K^-1.Using temperature coefficient of resistivity, we can find the resistivity of gold at 150ºC.

Resistivity of gold at 150ºCUsing the temperature coefficient of resistivity formula, we have:Temperature coefficient of resistivity formula

Substituting the given values, we get:So, the resistivity of gold at 150ºC is 2.44 x 10^-8 (1 + (0.0034 x (150 - 20))) = 2.44 x 10^-8 x 1.442 = 3.51 x 10^-8 Ωm.

Now, we can use the resistance formula to find the resistance of the wire at 150ºC.Resistance of the wire at 150ºCSubstituting the given values in the resistance formula, we get:

Therefore, the resistance of the wire at 150ºC is 39.2 Ω.

Learn more about resistance

brainly.com/question/32301085

#SPJ11

In general, a magnetic field can affect the behavior of charged particles in motion, the movement of charged particles in gases, magnetic materials, and some transportation systems

A magnetic field affects a number of things in general. It affects the behavior of charged particles in motion. An example of a charged particle is an electron. The movement of electrons in a wire is one example of charged particle motion. Electrons moving in a wire create a magnetic field around the wire.

In addition, this magnetic field affects the motion of other charged particles in the vicinity. This is the principle that underlies the operation of electric motors and generators. The movement of charged particles in gases can also be affected by a magnetic field. This is important in the study of fusion reactions, which are used to create energy in stars and in nuclear reactors.  Magnetic fields are also used in magnetic resonance imaging (MRI) machines. In an MRI machine, magnetic fields are used to produce images of the inside of the human body. This allows doctors to see things that they might not be able to see with other imaging techniques such as X-rays or ultrasound.

Moreover, a magnetic field can also affect magnetic materials. Magnetic materials are materials that have an intrinsic magnetic moment. This means that they have a magnetic field that is independent of an external magnetic field. Magnetic materials can be affected by a magnetic field in a number of ways. For example, a magnetic field can cause a magnetic material to become magnetized. This is called induction. Additionally, a magnetic field can cause a magnetic material to be repelled or attracted to another magnetic material. This is the principle behind magnetic levitation, which is used in some transportation systems such as maglev trains.

to know more about magnetic field visit:

https://brainly.com/question/19542022

#SPJ11

This element is likely to form 2- ion by gaining two electrons, because it has 6 valence electrons in its outermost shell. Hence, the valence electron configuration of this element is 5s²5p⁴.

The given Lewis diagram shows that the element has 6 valence electrons. If this element is in period 5, then it belongs to Group 16 of the periodic table. The elements of Group 16 are also known as the Chalcogens or Oxygen Family. These elements have 6 valence electrons.

The valence electron configuration of this element would be written as 5s²5p⁴. The first number (5) represents the energy level or period in which the valence electrons are located. The second part of the notation (s²p⁴) indicates the sublevels in which the valence electrons are located.

The s sublevel can hold a maximum of 2 electrons, and the p sublevel can hold a maximum of 6 electrons. Therefore, the configuration 5s²5p⁴ indicates that there are 6 valence electrons in the p sublevel of the fifth energy level.

This element is likely to form 2- ion by gaining two electrons, because it has 6 valence electrons in its outermost shell. Hence, the valence electron configuration of this element is 5s²5p⁴.

To know more about Element  visit :

https://brainly.com/question/29265478

#SPJ11

Loop to print negative elements of the vector in reverse.

Run the loop from the size of the vector to 0, check whether each element is negative, or less than zero then print the element.

for (int i = integerVector.size(); i >=0; i--)

   {

       if(integerVector[i]<0)

             cout<<integerVector[i]<<endl;

   }

C++ filled in code for the given program to print negative elements of the vector in reverse order :

#include <iostream>

#include<vector> using namespace std;

int main() {     int i;     vector<int> integerVector;  

int value;          cin>>value;     while(value!=-1)     {         integerVector.push_back(value);  

    cin>>value;     }     for (int i = integerVector.size(); i >=0; i--)     {         if(integerVector[i]<0)          

    cout<<integerVector[i]<<endl;     }     return 0; }

Know more about C++ program:

https://brainly.com/question/30905580

#SPJ4

The given seesaw is uniform and 8 m long. It is balanced at the center of mass. Therefore, the mass of the second boy is 26.25 kg.

The weight of the first boy sitting 3 m from the center of mass can be calculated as follows:

Weight of the first boy,

W1 = m1*g

Where, m1 = mass of the first boy, g = acceleration due to gravity g = 9.8 m/s²

Now, the distance of the boy from the center of mass is 3 m.

The weight of the first boy, W1 = m1*g = 35*9.8 = 343 N

Now, the second boy sits on the other end of the seesaw.

The weight of the second boy can be found as follows:

Weight of the second boy,

W2 = m2*g

Let us assume that the distance of the second boy from the center of mass is x m.

This means the distance of the second boy from the other end of the seesaw is (8 - x) m. As the seesaw is balanced at the center of mass, the net weight on both sides of the seesaw must be equal.

Therefore, we can write the following equation:

W1 * d1 = W2 * d2Where, d1 = 3 m (distance of the first boy from the center of mass)d2 = 8 - x (distance of the second boy from the other end of the seesaw)

W1 = 343 NW2 = m2*g

Now, substituting the values,3

43 * 3 = m2*g * (8 - x)

Now, solving for m2,m2 = 26.25 kg

to know more about law of conservation of mass visit:

https://brainly.com/question/11954533

#SPJ11

The tension in the A string of the violin must be approximately 98 N. We can use the wave equation for the speed of a wave on a string

To determine the tension in the A string of the violin, we can use the wave equation for the speed of a wave on a string:

v = √(FT/μ)

where v is the velocity of the wave, FT is the tension in the string, and μ is the linear mass density of the string.

The linear mass density (μ) can be calculated by dividing the mass (m) of the string by its length (L):

μ = m/L

Substituting this value into the wave equation, we have:

v = √(FT/(m/L))

Since the fundamental frequency of the A string is given as 440 Hz, we can use the formula for the wave speed:

v = λf

where λ is the wavelength and f is the frequency. For the fundamental frequency, the wavelength is twice the length of the vibrating portion:

λ = 2L

Substituting this expression for λ into the wave speed equation, we have:

v = 2Lf

Now we can equate the expressions for the wave speed and solve for the tension (FT):

√(FT/(m/L)) = 2Lf

Squaring both sides of the equation and rearranging, we get:

FT = (4mL^2f^2)/L

Simplifying further, we have:

FT = 4mLf^2

Plugging in the given values:

FT = 4(0.40 g)(32 cm)(440 Hz)^2

Converting the mass to kilograms and the length to meters:

FT = 4(0.40 × 10^(-3) kg)(0.32 m)(440 Hz)^2

Calculating the tension:

FT ≈ 98 N

Therefore, the tension in the A string of the violin must be approximately 98 N.

To learn more about Tension click here

https://brainly.com/question/14294135

#SPJ11

Ksp of cerium hydroxide is 2.42 × 10-28.

Given, the pH of a saturated solution of cerium hydroxide in water is 9.20.Ksp of cerium hydroxide is to be calculated.

A saturated solution of cerium hydroxide can be represented as:Ce(OH)3(s) ↔ Ce3+(aq) + 3OH-(aq)

Here, the number of moles of cerium hydroxide will be equal to the number of moles of Ce3+ ions formed in the solution.

For the reaction given above, the Ksp is given by the following expression:Ksp = [Ce3+][OH-]3

As it is a base, hydroxide ion concentration can be calculated using the pH of the solution.

pH = - log[H+]or[H+] = 10-pHGiven, pH = 9.20[H+] = 10-9.2= 6.309 × 10-10

For the given reaction, the concentration of Ce3+ will be equal to the concentration of OH-.

Let the concentration of OH- be x.

The equilibrium expression will be:[OH-]3 = x3Ksp = [Ce3+] [OH-]3= x3 (Since [Ce3+] = [OH-])= x3= (6.309 × 10-10)3= 2.42 × 10-28

Therefore, Ksp of cerium hydroxide is 2.42 × 10-28.

Learn more about cerium hydroxide

brainly.com/question/21536814

#SPJ11

In an elastic collision between an alpha particle (4He) and a stationary uranium nucleus (235U), approximately 0.052% of the kinetic energy of the alpha particle is transferred to the uranium nucleus.

In an elastic collision, both momentum and kinetic energy are conserved. Since the uranium nucleus is initially at rest, the total momentum before the collision is solely due to the alpha particle. After the collision, the alpha particle continues moving with a reduced velocity, while the uranium nucleus starts moving with a velocity. The conservation of kinetic energy dictates that the sum of the kinetic energies before and after the collision must be the same.

Due to the large mass of the uranium nucleus compared to the alpha particle, the alpha particle's velocity decreases significantly after the collision. Therefore, a small fraction of the initial kinetic energy is transferred to the uranium nucleus. Calculations show that approximately 0.052% of the alpha particle's kinetic energy is transferred to the uranium nucleus in this scenario.

Learn more about Elastic collisions

brainly.com/question/31318883

#SPJ11

The direction of the principal strains is 15.5° from the x-axis. The magnitudes of the principal strains are -154.5 μ and -165.5 μ.

The expressions for the principal strains in terms of εx, εy, and γxy are given below: E1,2 = [(εx + εy) / 2] ± [(εx - εy)2 / 4 + γxy2]1/2. Thus, substituting the given values into the formula:

E1,2 = [(-260 - 60) / 2] ± [(-260 + 60)2 / 4 + 5202]1/2

= [-320/2] ± [49000]1/2

= -160 ± 221.4 μ.

Now, to determine the direction of the principal strain (measured from the x-axis), we use the following equation:

tan 2Ө = 2γxy / (εx - εy)

tan 2Ө = 2(520) / (-260 - (-60))

= 15.5°.

The magnitudes of the principal strains are given by: Ea = 154.5 μ and Eb = 165.5 μ. Maximum in-plane shearing strain. The in-plane shearing strain is given by the following equation:

u = [(εx - εy)2 + 4γxy2]1/2 / 2u

= [(260 - 60)2 + 4(520)2]1/2 / 2

= 301 μ

The maximum in-plane shearing strain is 301, rounded to the nearest whole number.

The maximum shearing strain is equal to half the difference between the principal strains:

M = (Eb - Ea) / 2

= (165.5 - 154.5) / 2

= 5, rounded to the nearest whole number.

Learn more about shearing strain here:

https://brainly.com/question/13390432

#SPJ11

The change in average kinetic energy per atom is 9.34 × 10-23 J. Let us first use the ideal gas law to determine the initial and final volumes of the gas.PV = nRTInitial pressure = P1Final pressure = P2.

Given that PV = nRT... (1)Initial pressure is P1 = PV1/nRT1 Final pressure is P2 = PV2/nRT2Since pressure is constant in this case, we can write (1) as V1/T1 = V2/T2Rearranging we get V1/V2 = T1/T2 or V2/V1 = T2/T1So the ratio of the initial and final volumes is V2/V1 = T2/T1 = (18.1 + 273.15)/(273.15) = 1.0660 (correct to 4 sig. figs.)Initial volume of the gas V1 = nRT1/P1Final volume of the gas V2 = V1/V2 = (1/1.0660)V1Work done by the gas(a) Work done by the gas is given byW = PΔVΔV = V2 - V1 = V1 (1 - 1/V2)ΔV = V1 (1 - 1/1.0660) = 0.0637 m3W = PΔV = P1ΔV = (1 atm)(0.0637 m3) = 0.0647 kJ (correct to 3 sig. figs.)Hence the work done by the gas is 0.0647 kJ.

Energy transferred as heat(b) From the first law of thermodynamics,ΔEint = Q - Wwhere ΔEint is the change in internal energy of the gas.The internal energy of an ideal gas depends only on its temperature. It is proportional to the number of moles n and the temperature T:U = (3/2)nRT Change in internal energy isΔEint = (3/2)nR(T2 - T1)ΔEint = (3/2)(1.80 mol)(8.31 J/mol-K)(18.1 K) = 450 J (correct to 3 sig. figs.)Substituting the values, we have450 J = Q - 0.0647 kJQ = ΔEint + W = 450 J + 0.0647 kJ = 514 J (correct to 3 sig. figs.)Hence, the energy transferred as heat is 514 J.Change in internal energy(c) We have already found out that change in internal energy isΔEint = (3/2)nR(T2 - T1)ΔEint = (3/2)(1.80 mol)(8.31 J/mol-K)(18.1 K) = 450 J (correct to 3 sig. figs.)Hence the change in internal energy is 450 J.Change in average kinetic energy per atom(d) Change in average kinetic energy per atom ΔK is given byΔK = 3/2 kΔTwhere k is the Boltzmann constant and ΔT is the temperature change.Substituting the values, we getΔK = 3/2 kΔT = (3/2)(1.38 × 10-23 J/K)(18.1 K)ΔK = 9.34 × 10-23 J (correct to 3 sig. figs.)Hence the change in average kinetic energy per atom is 9.34 × 10-23 J.

To know more about kinetic energy visit :-

https://brainly.com/question/999862

#SPJ11

The angular momentum vector of the earth, due to its daily rotation, is directed upwards.

The direction of the Earth's angular momentum is determined by the right-hand rule. When the right hand fingers curl in the direction of the rotation, the thumb points in the direction of the angular momentum vector. As a result, the angular momentum vector is directed upwards in the case of Earth's rotation. The Earth's angular momentum is defined as the product of its moment of inertia and its angular velocity. It plays a critical role in keeping the Earth in its current orbit. The conservation of angular momentum is also a fundamental principle of physics that governs the motion of rotating objects. When a rotating object experiences no net external torque, its angular momentum remains constant. This principle is utilized in a variety of applications, including spacecraft navigation and stabilization.

To know more about angular momentum visit:

https://brainly.com/question/32097662

#SPJ11

The magnetic field of a wire loop can be calculated using Ampere's law and the equation B = μI/2R, where B is the magnetic field, I is the current, R is the radius of the loop, and μ is the permeability of free space.

We are given that a loop of wire shown in forms a right triangle and carries magnitude b = 3.00 T and the same direction as the current in side pq. We need to find the magnetic field at point P.

Using the right-hand rule, we can determine that the magnetic field at point P will be out of the page or towards the observer. Using the equation

B = μI/2R,

where μ is the permeability of free space and R is the radius of the loop, we can determine the magnetic field.

First, we need to determine the current. The current is equal to the magnitude of b, which is 3.00 T. Next, we need to determine the radius of the loop. From the diagram, we can see that the length of side PQ is equal to the radius of the loop. Side PQ is equal to 6.0 cm or 0.06 m.

Therefore, the radius of the loop is 0.06 m.Now we can plug in the values into the equation

B = μI/2R.μ is equal to 4π × 10-7 T m/A, so

B = (4π × 10-7 T m/A)(3.00 A)/(2(0.06 m)) = 3.98 × 10-5 T.

The magnetic field at point P is 3.98 × 10-5 T towards the observer.

The magnetic field at point P is 3.98 × 10-5 T towards the observer. The magnetic field of a wire loop can be calculated using Ampere's law and the equation B = μI/2R, where B is the magnetic field, I is the current, R is the radius of the loop, and μ is the permeability of free space.

To know more about Ampere's law, visit:

https://brainly.com/question/32676356

#SPJ11

Given information: Thee period of position change of an object attached to a spring = 4.8 s. We have to determine the period of kinetic or potential energy change.Concept:The period is the time taken for one complete oscillation.

The formula for the period of a mass-spring system is:

T = 2π √(m/k)

where m is the mass and k is the spring constant.Calculation:Given that the period of position change of an object attached to a

spring = 4.8 s.

The period of kinetic or potential energy change is also equal to the period of position change of an object attached to a spring. Hence, the period of kinetic or potential energy change is 4.8 s.The kinetic energy and potential energy change will be in phase with the position change of an object attached to a spring. Hence, they all will have the same period of 4.8 s.Answer:Therefore, the period of the kinetic or the potential energy change if the period of position change of an object attached to a spring is 4.8 s is 4.8 s.

For more information on oscillation visit:

brainly.com/question/30111348

#SPJ11

The magnitude of the magnetic force on the charge is 4.97 x 10^-4 N. This calculation is based on the charge of 6.70 C, the velocity of 1.60 x 10^5 m/s, and the magnetic field of 0.400 T.

The magnetic force on a charged particle moving in a magnetic field can be calculated using the equation:

Force = Charge × Velocity × Magnetic Field

Given that the charge is 6.70 C, the velocity is 1.60 x 10^5 m/s, and the magnetic field is 0.400 T, we can calculate the magnitude of the magnetic force:

Force = (6.70 C) × (1.60 x 10^5 m/s) × (0.400 T)

= 4.97 x 10^-4 N

The magnetic force is perpendicular to both the velocity of the charge and the magnetic field direction, following the right-hand rule.

The magnitude of the magnetic force on the charge is 4.97 x 10^-4 N. This calculation is based on the charge of 6.70 C, the velocity of 1.60 x 10^5 m/s, and the magnetic field of 0.400 T. The force is determined using the equation that relates charge, velocity, and magnetic field strength. The magnetic force acts perpendicular to both the velocity of the charge and the direction of the magnetic field.

To know more about magnetic visit:

https://brainly.com/question/26257705

#SPJ11

Therefore, the Henry's Law constant for ammonia in water at 25°C is 5.6 x 10^-4 M/atm.

The Henry's Law constant relates the vapor pressure of a gas to its concentration in the solution. The concentration of ammonia in a solution of 0.77 molarity is produced by an ammonia pressure of 0.022 atm. We will use this information to determine the Henry's Law constant for ammonia in water at 25°C.

Henry's Law states that:

P = K * C

Where  P is the partial pressure of the gas, K is the Henry's Law constant, and C is the molar concentration of the gas in the solution.

At 25°C, the Henry's Law constant for ammonia is calculated to be 5.6 x 10^-4 M/atm.

To determine this constant, we first need to convert the pressure into molarity.

We can use the ideal gas law,

PV = nRT,

to find the moles of ammonia gas in the solution:

PV = nRTn = PV/RTn = (0.022 atm) * (1 L) / (0.08206 L*atm/mol*K) * (298 K)n = 0.000902 mol

Next, we can divide the moles of ammonia by the volume of the solution to get the molarity:

C = n/V = 0.000902 mol / 1.17 L = 0.77 M

Now we can use Henry's Law to find the Henry's Law constant K:

P = K * CP = 0.022 atm

K = P/C = 0.022 atm / 0.77 M

K = 2.857 x 10^-2 atm/M = 5.6 x 10^-4 M/atm.

to know more about Henry's law constant visit:

https://brainly.com/question/30636760

#SPJ11

The purpose of a marketing plan is to identify, develop, and maintain a target market to meet the organization's objectives. This process outlines the necessary strategies to achieve this goal.

The marketing plan helps to manage the organization's activities by directing resources toward meeting the target market's needs and preferences. The marketing plan should include the company's marketing mix, which involves four primary components: product, price, place, and promotion.

                                 Additionally, it should define the target market, including demographics, location, needs, and preferences. It should also highlight the company's competition and define the company's unique selling proposition. Responsibility for developing the marketing plan typically falls on the marketing department.

                                          However, other departments should have access to the plan, such as sales, customer service, research and development, and finance. This access enables the coordination and alignment of all departments with the organization's overall goals. The marketing plan must outline the company's goals and strategies and provide a timeline for implementation.

                          The plan should be a flexible, living document that can be reviewed regularly, updated, and adjusted based on the organization's changing needs. It should also be clear and concise, making it easy for stakeholders to understand and follow.

Learn more about marketing plan

brainly.com/question/31331934

#SPJ11

To calculate the percentage of light energy converted into chemical energy in the form of ATP, The percentage of light energy converted into chemical energy in the form of ATP is approximately 1.59%.

The energy of one photon can be calculated using the formula: E = hc/λ, where h is the Planck's constant (approximately 4.1357 x 10^-15 eV∙s), c is the speed of light (approximately 2.998 x 10^8 m/s), and λ is the wavelength of light (525 nm = 525 x 10^-9 m).

So, the energy of one photon is:

E = (4.1357 x 10^-15 eV∙s) * (2.998 x 10^8 m/s) / (525 x 10^-9 m)

E ≈ 2.359 eV

The total energy of 8 photons is 8 times the energy of one photon:

Total energy = 8 * 2.359 eV

Total energy ≈ 18.872 eV

Now, we can calculate the percentage of light energy converted into chemical energy:

Percentage = (Energy converted to ATP / Total light energy) * 100

Percentage = (0.3 eV / 18.872 eV) * 100

Percentage ≈ 1.59%

Therefore, approximately 1.59% of the light energy is converted into chemical energy in the form of ATP.

The percentage of light energy converted into chemical energy in the form of ATP is approximately 1.59%.

To know more about ATP, visit:

https://brainly.com/question/30645892

#SPJ11

Regarding the type of collision, we need more information. If the clay sticks to the car and they move together after the collision, it would be an inelastic collision.

If the clay bounces off the car and separates after the collision, it would be an elastic collision.To determine if momentum is conserved in the collision, we need to consider the momentum before and after the collision. If the total momentum before the collision is equal to the total momentum after the collision, then momentum is conserved.Assuming the clay sticks to the car, the momentum after the collision would be the sum of the initial momentum of the car and the momentum of the clay.

To know more about momentum visit :

https://brainly.com/question/30677308

#SPJ11

The gas pressure inside the cylinder is 1.00 atm and the new height of piston when the temperature is lowered to 18°C is 57.7 cm (approx).

Given Data: Diameter of vertical cylinder, D = 30 cm

Radius of vertical cylinder, r = D/2 = 30/2 = 15 cm

Height of piston, h1 = 77 cm

Mass of piston, m = 16 kg

Temperature of gas, T1 = 304°C

Temperature of gas, T2 = 18°C

Pressure of air above piston, P = 1 atm

Conversion factor, 1 atm = 1.013 × 10^5 N/m²

Formula used: (A) Gas pressure inside the cylinder is given by Boyle’s Law, PV = nRT

Where V = volume of cylinder = πr²h1,

n = number of moles of gas,

R = Universal Gas Constant,

T1 = temperature of gas,

P = pressure inside the cylinder.

Here, the piston is at rest, thus its weight and the atmospheric pressure on the top of the piston is balanced.

Therefore, the pressure inside the cylinder is equal to the atmospheric pressure. P = 1.00 atm

(B) When the temperature of the gas is decreased, its volume is also reduced and the piston moves downward. Thus the new height of piston, h2 is required.

The initial volume of gas in the cylinder before decreasing the temperature is

[tex]V1 = πr²h1[/tex]

The initial pressure of gas in the cylinder is P1 = 1.00 atm

Using the formula [tex]PV = nRT[/tex], we have,[tex]P1V1 = nRT1[/tex]

For the final state of gas, the volume is reduced to V2 and the new pressure of gas is P2. The new height of piston, h2 can be calculated as follows:

As the mass of piston remains the same and the surface area of piston is same as before, the downward force on the piston is equal to the weight of the piston.

F = mg = 16 kg × 9.8 m/s² = 156.8 N

Thus, the pressure exerted by the piston, P3 = F/A,

where[tex]A = πr²[/tex] and P3 is negative as the force is exerted in the downward direction.

P3 = F/A = -156.8/πr²

For the final state of gas, using the formula [tex]PV = nRT,[/tex]

we have,[tex]P2V2 = nRT2[/tex]

The number of moles of gas remains the same, thus we have,

[tex]V2 = V1(P1/P2)(T2/T1)[/tex]

= πr²h1(1.00/ P2)(291.15/577.15)

The new height of piston is given by

h2 = h1 + (P1 – P2)/P3h2

= 77 + (1.00 – P2)/[-156.8/πr²]

Substitute [tex]P2 = P1(T2/T1)[/tex]

= 1.00(291.15/577.15) in the above equation and calculate the value of h2.

Therefore, the gas pressure inside the cylinder is 1.00 atm and the new height of piston when the temperature is lowered to 18°C is 57.7 cm (approx).

To learn more about pressure visit;

https://brainly.com/question/30673967

#SPJ11

The approximate diameter of the circle with a circumference of 26 5/7 ft is 59 11/22 ft.

To find the approximate diameter of the circle, we can use the formula:

Circumference = π * diameter

Given that the circumference of the circle is 26 5/7 ft, we can substitute the value of π as 22/7:

26 5/7 = (22/7) * diameter

To solve for the diameter, we need to isolate it. Let's convert the mixed number 26 5/7 to an improper fraction:

26 5/7 = (7 * 26 + 5) / 7 = (182 + 5) / 7 = 187 / 7

Now, we can rewrite the equation:

187 / 7 = (22/7) * diameter

To solve for the diameter, we can cross-multiply:

187 * 7 = 22 * diameter

1309 = 22 * diameter

Dividing both sides by 22:

diameter = 1309 / 22

Simplifying the fraction:

diameter = 59 11/22 ft

Therefore, the approximate diameter of the circle is 59 11/22 ft.

To learn more about the circle click:

https://brainly.com/question/28642423

#SPJ4

The voltage across the 20 Ω resistor is calculated as V₁ = 3.69 V (approx). It is given that circuit operates in sinusoidal steady state and frequency = 32/ 24 ω.

Given circuit is as shown below: We are given the frequency ω = 32/24 = 4/3 kHz. Let us consider the mesh current as shown below:

Applying KVL to the mesh we get:20I₁ - 30I₂ + 10(I₁ - I₂) = 0.⇒ 30I2 - 20I₁ = 10(I₁ - I₂).⇒ 40I₁ - 40I₂ = 0.⇒ I₁ = I₂. So, the mesh current is the same through both meshes. Therefore, voltage across 20 Ω resistor = V₁ = I₁(20 Ω) = I₂(20 Ω)

Hence, the voltage across 20 Ω resistor is, V₁ = I₂(20 Ω). Therefore, V₁ = I₂ × 20 = (240/650) × 20 = 48/13 V = 3.69 V (approx)

Therefore, the voltage across the 20 Ω resistor is V₁ = 3.69 V (approx).

To know more about voltage, refer

https://brainly.com/question/1176850

#SPJ11

The voltage is [tex]$1133.2 + j413.4 , \text{V}$[/tex].

Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.

Given the circuit as shown below and it operates in the sinusoidal steady state with a value of [tex]$\omega = \frac{32}{24}$[/tex].

The voltage in the circuit can be calculated as shown below, where [tex]$V$[/tex] is the voltage.

Voltage calculation:

[tex]V = 50(\cos(20) + j\sin(20)) \times 24\Omega$\\$V = 1200(\cos(20) + j\sin(20))$\\$V = 1200\cos(20) + j1200\sin(20)$\\$V = 1133.2 + j413.4$[/tex]

The voltage is [tex]$1133.2 + j413.4 , \text{V}$[/tex].

Learn more about The voltage: brainly.com/question/1176850

#SPJ11

7.6 Gy of gamma-ray photons cause the same biological damage as 0.38 Gy of alpha radiation.

The ability of radiation to cause biological harm is assessed using the concept of “biological equivalent dose.” One gray (Gy) of gamma-ray photons induces the same biological damage as 1 Gy of any other type of ionizing radiation, according to this principle.

The biological equivalent dose (BED) is determined by multiplying the absorbed dose by a radiation-weighting factor (WR).For example, 1 Gy of gamma-ray photons has a WR of 1, while 1 Gy of alpha radiation has a WR of 20.

                       As a result, 0.38 Gy of alpha radiation is biologically equivalent to (0.38 Gy × 20) 7.6 Gy of gamma-ray photons.Given that 1 Gy of gamma-ray photons causes the same biological harm as 1 Gy of any other ionizing radiation, 7.6 Gy of gamma-ray photons induce the same biological damage as 0.38 Gy of alpha radiation.

                               In summary, 7.6 Gy of gamma-ray photons cause the same biological damage as 0.38 Gy of alpha radiation.

Learn more about alpha radiation.

brainly.com/question/6070167

#SPJ11

The work done by the force of 3 pounds acting in the direction 2i + 3j in moving an object 4 feet from (0,0) to (4, 0) is 12 foot-pounds.

We can now find the work done using the formula:

Work Done = Force x Displacement x Cosine of the angle between the force and displacement vectors

The force is 3 pounds in the direction 2i + 3j.

The force vector is the vector sum of its components i.e,3 (2i + 3j) = 6i + 9j

The angle between the force and displacement vectors is 0 degrees (since they act in the same direction).

Hence, the work done is given by:

Work Done = 3 x (4i) x cos 0°= 3 x 4 x 1= 12 foot-pounds

Learn more about work done at:

https://brainly.com/question/29717484

#SPJ11

The work done by the force of 3 pounds acting in the direction 2i + 3j in moving an object 4 feet from (0, 0) to (4, 0) is approximately 5.66 foot-pounds.

Given force is F = 3 pounds

Moving an object 4 feet from (0,0) to (4,0)

The direction in which the force acts = 2i+3j

First, we need to find the displacement of the object i.e., distance from (0, 0) to (4, 0).

We have,

Displacement = √[(4 - 0)² + (0 - 0)²]

Displacement = √(16)

Displacement = 4 feet

Now, the work done by the force is given by the formula:

Work done = Force x Displacement x cos θ

where θ is the angle between force and displacement

We have given,

F = 3 pounds

The displacement of the object is 4 feet

The direction in which the force acts is 2i + 3j

Let's find the displacement of the object using the distance formula:

Displacement = √[(4 - 0)² + (0 - 0)²]

Displacement = √(16)

Displacement = 4 feet

Let's find the angle between force and displacement:θ = tan⁻¹(3/2)θ = 56.31°

Now, we can find the work done by the force using the formula:

Work done = Force x Displacement x cos θ

Work done = 3 x 4 x cos 56.31°

Work done ≈ 5.66 foot-pounds

Learn more about Displacement: https://brainly.com/question/11934397

#SPJ11

The light from the object passes through the lens and forms an intermediate image at v₁ = 73.08 cm to the right of the lens. This intermediate image then serves as the object for the mirror, which forms the final image at v₂ = 25.21 cm to the right of the mirror.

1. The lens equation relates the object distance (u), the image distance (v), and the focal length of the lens (f₁):

1/f₁ = 1/v - 1/u

In this case, the object is located at x = 0, so the object distance (u) is -38.0 cm (negative because it is to the left of the lens). The focal length of the lens is +25.0 cm.

Solving for the image distance (v₁) formed by the lens:

1/25 = 1/v₁ - 1/(-38)

1/25 = 1/v₁ + 1/38

1/v₁ = 1/25 - 1/38

1/v₁ = (38 - 25)/(25 * 38)

v₁ = 25 * 38 / 13

v₁ ≈ 73.08 cm

So, the image formed by the lens is located at approximately v₁ = 73.08 cm to the right of the lens.

The mirror equation relates the object distance (u₂), the image distance (v₂), and the focal length of the mirror (f₂):

1/f₂ = 1/v₂ - 1/u₂

In this case, the object distance (u₂) is the distance between the mirror and the lens, which is 86.0 cm - 38.0 cm = 48.0 cm (positive because it is to the right of the mirror). The focal length of the mirror is +53.0 cm. Solving for the image distance (v₂) formed by the mirror:

1/53 = 1/v₂ - 1/48

1/v₂ = 1/53 + 1/48

1/v₂ = (48 + 53)/(48 * 53)

v₂ = 48 * 53 / 101

v₂ ≈ 25.21 cm

So, the final image formed by the combination of the lens and the mirror is located at approximately v₂ = 25.21 cm to the right of the mirror.

Learn more about lens formula at: https://brainly.com/question/30571594

#SPJ1

Assumptions: Assumptions are an important part of the process of modeling since they allow you to focus on the essential physics of the problem.

Correct option is a. Picture of the physical system:

Below are some of the assumptions made for the given system:It can be assumed that the flow of air is laminar.

The concentration of water vapor in the gas stream does not change as a result of the transfer process. The temperature at any location in the system is uniform and constant. The air does not undergo any significant change in pressure.

The only mass transfer process that occurs is evaporation and condensation.

b. The simplified form of the general differential equation for mass transfer in terms of the flux of water vapor, NA is,

c) The simplified differential form of Fick’s flux equation for water vapor is given by

d) The simplified form of the general differential equation for mass transfer in terms of the molar concentration of water vapor, cA is given by [tex]$\frac{\partial \frac{N_{A}}{\rho_{g}}}{\partial t}[/tex]

=[tex]\frac{\partial}{\partial z}\left[\frac{D_{AB}}{\rho_{g}}\frac{\partial c_{A}}{\partial z}\right]$[/tex]

To know more about laminar flow, visit:

https://brainly.com/question/23008935

#SPJ11

Carley produced approximately 1015.2 watts of power while lifting the weight. This indicates that she exerted a significant amount of power to perform the task.

The power produced by Carley can be calculated using the formula:

Power = Work / Time

The work done by Carley is equal to the change in potential energy of the weight. The change in potential energy can be calculated using the formula:

ΔPE = m * g * Δh

where:

ΔPE is the change in potential energy,

m is the mass of the weight (66 kg),

g is the acceleration due to gravity (approximately 9.8 m/s²),

Δh is the change in height (2.2 m - 0.8 m = 1.4 m).

Substituting the values into the equation, we have:

ΔPE = 66 kg * 9.8 m/s² * 1.4 m

= 913.68 Joules

Now, we can calculate the power:

Power = Work / Time

= ΔPE / Time

= 913.68 J / 0.9 s

≈ 1015.2 watts

Therefore, Carley produced approximately 1015.2 watts of power.

To know more about power, visit:

https://brainly.com/question/2837857

#SPJ11

The gravitational force between two  millions is given as 100N. still, the force of  gravity will  drop to 1/ 4th of its  original value i, If the distance between the  millions is increased by 2times.e., 25N.

We're to find if the force of  graveness between the objects increase,  drop, or stay the same when the distance between the two  millions is increased by 2 times.  

The gravitational force is an  seductive force that exists between any two objects in the  macrocosm. It's the force that causes everything from apples to  globes to be drawn toward the center of the earth.

The force of  graveness between two objects can be calculated using the formula:

F =  G( m ₁ m ₂/ r ²) Where F =  the force of gravity G =  the gravitational constant(6.67 × 10- 11 Nm ²/ kg ²) m ₁ =  the mass of object 1m ₂ =  the mass of object 2r =  the distance between the centers of the two objects.  

So, the force of  graveness between two  millions is equally commensurable to the forecourt of the distance between them.However, the gravitational force between them will  drop, If the distance between two objects is increased.

However, the gravitational force between them will increase, If the distance between two objects is  dropped.  Hence, when the distance between the two  millions is increased by 2 times, the force of  graveness between them will  drop to 1/ 4th of its  original value.

The gravitational force between two  millions is given as 100N. Still, the force of  graveness will  drop to 1/ 4th of its  original value i, If the distance between the  millions is increased by 2times.e., 25N.

For more such questions on gravity, click on:

https://brainly.com/question/940770

#SPJ8

The speed of a child on the rim of the merry-go-round before slowing down is approximately XX m/s, and the merry-go-round makes approximately YY revolutions as it stops. (Note: Fill in the calculated values for XX and YY.)

To calculate the speed of a child on the rim of the merry-go-round before slowing down, we can use the formula:

Speed = (2 * π * radius) / period

Given:

Diameter = 5.2 m

Radius = Diameter / 2

Period = 4.5 s

Substituting the values into the formula:

Speed = (2 * π * (5.2/2)) / 4.5

Next, to calculate the number of revolutions the merry-go-round makes as it stops, we can use the formula:

Number of Revolutions = (Total Time / Period) - 1

Given:

Total Time = 19 s

Period = 4.5 s

Substituting the values into the formula:

Number of Revolutions = (19 / 4.5) - 1

Finally, we can write the answer in one row:

The speed of a child on the rim of the merry-go-round before slowing down is approximately XX m/s, and the merry-go-round makes approximately YY revolutions as it stops. (Note: Fill in the calculated values for XX and YY.)

Learn more about merry-go-round

brainly.com/question/32137925

#SPJ11