How far will a 50 N force stretch the same spring?

We can use the given equation for the temperature change in the house to determine the values of C and R:

Th - To C (dTh)/dt = Ku - (Th - To)/R

utilising the knowledge that the furnace raises the temperature by 2°F every 0.1 h, we can calculate the value of K/R:

K/R is equal to (Th-to)/(Ku-(Th-to)/R)

(Th - 60°F)/(90,000 BTU/h - (Th - 60°F)/R) = 2°F/0.1h

When we simplify and find R, we obtain:

R is calculated as (Th - 60°F)/(45,000 BTU/h - 0.5*(Th - 60°F)).

Next, we may calculate the value of C using the knowledge that, with the furnace off, the house temperature drops 2°F in 40 minutes (0.67 h):

C (dTh)/dt = -2°F/0.67h

Using a C-solve, we obtain:

-2°F/(0.67h dTh/dt) = C

We can solve for Th by substituting the value of R that we discovered before into the equation for K/R:

(Th - 60°F)/(90,000 BTU/h - (Th - 60°F)/R) = 2°F/0.1h

ThR - 60,000 + 90,000 Th - Th2 = 2,000 BTU

Th = 57.7°F or 62.3°F

We can use the temperature change information to determine which value of Th is the correct one. Since the furnace raises the temperature in the house, the correct value of Th is 62.3°F.

Substituting the values of Th, To, K, and R into the equation for C, we get:

C = -2°F/(0.67h × (dTh/dt))

C = -2°F/(0.67h × (62.3°F - 60°F)/(0.1h))

C = 167,910 BTU/°F

Substituting the values of Th, To, K, and R into the equation for R, we get:

R = (Th - 60°F)/(45,000 BTU/h - 0.5*(Th - 60°F))

R = (62.3°F - 60°F)/(45,000 BTU/h - 0.5*(62.3°F - 60°F))

R = 0.00038°F·h/BTU

Therefore, the values of C and R for the house are C = 167,910 BTU/°F and R = 0.00038°F·h/BTU.

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At a height of 4.950 metres above the earth, the earth's gravitational pull on a 70 kg physics student in an aeroplane is approximately 688.7 N strong.

The following are some instances of the power of gravity: the energy holding the gases inside the sun. the power behind a ball's descent after being thrown into the air. the force that makes an automobile coast downhill even when the gas is not depressed.

The following equation describes the gravitational attraction between the earth and a mass m object at a distance r from the earth's centre:

F = G * (M * m) / r^2

where G is the gravitational constant, M is the mass of the earth, and r is the distance between the center of the earth and the object.

Substituting the given values, we get:

F = G * (M * m) / r^2

= 6.67 × 10^-11 N·m^2/kg^2 * (5.98 × 10^24 kg * 70 kg) / (4950 m + 6.37 × 10^6 m)^2

≈ 688.7 N

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Answer:

Explanation:a

The unknown weight is 16 N and  the mass of the pulley is 4.26 kg.

The weight of the mass can be found using the formula;

W = T

where;

so W = 16.0 N.

To find the mass of the pulley, we need to take into account its weight and the tension in the cable. Since the tension is greater than the weight of the object, we know that the tension is also supporting the weight of the pulley.

T - m_pulley x g = 0

where;

m_pulley = T/g

= 41.8 N/9.81 m/s^2 = 4.26 kg

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When a charge Q is given to a thin metallic plate then the charge gets equally distributed between the two plates. Thus we have an electric field produced by one side of the plate is

E=σ2ϵo

where σ=QA and A is the area.

A)

Electric field, E = Q/(A e0)

E = (5.952 x 10^-6)/(pi x 0.0522^2 x 8.85 x 10^-12)

E = 7.86 x 10^7 N/C

B)

Stays the same

An electric field (sometimes E-field) is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles.

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The velocity immediately following is zero since there was no rebound. 665 kg/s.

In free fall, an object drops steadily. The speed of something falling freely is constant. There is no resistance to the object's descent caused by gravity when it is in free fall. An object falling freely encounters air resistance in the absence of any additional resistance.

According to the given information:

The impulse is given by:

J = change in momentum

J=m(va−vb )

where

va=velocity after

vb=velocity before

The velocity just before is given by

vb=2∗9.81m/s 2∗9m(under root)

=13.3m/s(− j )

Because there were no rebound, the velocity immediately following is zero.

As a result, the impulse is equal to 50(0+13.3m/s(j) = 665kg..

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1.12 MPa is the shear stress in the glued joint.

If you think of an object as a 2D object, its cross section area is one of its areas. Consider a perfectly spherical ball as an illustration. A circle with a radius equal to the ball can be seen if you view the ball as a 2D object. Consider a cone for another illustration.

The axial or normal stress, σ, in the glued joint can be calculated as:

σ = P/A

A = 2 × b × h

A = 2 × 75 mm × 150 mm = 22,500 mm²

Substituting the values of P and A, we get:

σ = 18 kN / 22,500 mm² = 0.8 MPa

So the normal stress in the glued joint is 0.8 MPa.

The shear stress, τ, in the glued joint can be calculated as:

τ = VQ/It

V = P/2 = 9 kN

The first moment of area, Q, can be calculated as:

Q = b×h2/4

When we change the values of b and h, we obtain:

Q = 75 mm × (150 mm)2 / 4 = 1,406,250 mm³

Calculating the second instant of area, I, is as follows:

I = b×h3/12

The result of substituting the values of b and h is:

I = 75 mm × (150 mm)3 / 12 = 1,054,687.5 mm⁴

Substituting the values of V, Q, I, and t, we get:

τ = 9 kN × 1,406,250 mm³/ (1,054,687.5 mm⁴ × 75 mm) = 1.12 MPa

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To calculate the velocity of a spherical raindrop falling from 4.4 km without air drag, we can use the equations of motion:

v² = u² + 2as

v² = 0 + 2(-9.81 m/s²)(4.4 km) = -2(9.81 m/s²)(4400 m) = -86,140 m²/s²

v = sqrt(86,140 m²/s²) = 293.9 m/s

Therefore, the velocity of the raindrop falling from 4.4 km without air drag is approximately 293.9 m/s.

b. To calculate the velocity of the raindrop falling with air drag, we can use the following equation:

F_drag = 1/2 * rho * v^2 * A * C_d

F_drag = m * g

m * g = 1/2 * rho * v^2 * A * C_d

Solving for v, we get:

v = sqrt((2 * m * g) / (rho * A * C_d))

Substituting the values, we get:

v = sqrt((2 * (4/3) * pi * (3.8/2)^3 * 1000 kg/m³ * 9.81 m/s²) / (1.16 kg/m³ * pi * (3.8/2)^2 * 1.0))

Simplifying, we get:

v = 9.7 m/s

Therefore, the velocity of the raindrop falling from 4.4 km with air drag is approximately 9.7 m/s.

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When the liquid cools down, it loses heat energy.

As the liquid cools, it loses heat energy. As a result, its particles slow down in movement and come closer to one another. Attractive forces begin to hold particles and the crystals of a solid form.

If water is cooled, it can change into ice. If ice is warmed, it can change into a liquid state. Heating a substance makes the molecules move very fast whereas cooling a substance makes the molecules move very slowly.

Heating a liquid increases the speed of the molecules present in it. An increase in the molecule's speed competes with the attraction between molecules and results in the molecules moving apart whereas Cooling a liquid decreases the movement of the molecules.

So we can conclude that the liquid cools down when it loses heat energy.

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An ideal gas undergoes an isothermal process. The correct answer to this question is a statement (ii) The internal energy of the gas does not change and statement (iii) .

The average kinetic energy of the molecules does not change. An isothermal process is a thermodynamic process in which the temperature of a system remains constant. This means that the internal energy of the system, which is related to the average kinetic energy of the molecules, also remains constant. Therefore, statements (ii) and (iii) are true. However, statement (i) is not true. In an isothermal process, heat can be added to or removed from the gas in order to keep the temperature constant. For example, if the gas is expanding, heat will need to be added to the system in order to maintain a constant temperature. Conversely, if the gas is being compressed, heat will need to be removed from the system in order to maintain a constant temperature.

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According to the question, for a car with a force of 18 N and displacement of 8 m, the work done by a car is calculated as 144Nm.

Force may be defined as a process of pushing or pulling on an object that significantly produces acceleration in the body on which it acts. It is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.

According to the question,

The force applied on a car = 18 N

The displacement made by a car = 8m.

Now, the work done is calculated with the help of the given formula:

                          = 18 N × 8m = 144Nm.

Therefore, the work done by a car is calculated as 144Nm.

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Part A, the minimum stopping distance for the car traveling at 46 m/s is 116 m. For the minimum stopping distance to find the minimum stopping distance for the car traveling at 46 m/s:

dstop = vo Treact + (vo^2)/(2abrake)

The minimum stopping distance of a car traveling at speed vo with a reaction time Treact and constant maximum braking acceleration abrake can be found by considering the distance traveled during the driver's reaction time and the distance traveled while the car is slowing down due to braking. The total stopping distance is given by:

dstop = dreact + dbrake

where dreact is the distance traveled during the driver's reaction time and dbrake is the distance traveled while the car is slowing down due to braking.

The distance traveled during the driver's reaction time is given by:

dreact = vo Treact

The distance traveled while the car is slowing down due to braking can be found using the kinematic equation:

v^2 = vo^2 + 2a(x - xo)

where v is the final velocity, xo is the initial position, x is the final position, and a is the acceleration. In this case, we want to find the distance traveled while the car is coming to a stop, so v = 0, xo = 0, and x = dbrake. Solving for dbrake, we get:

dbrake = (vo^2)/(2abrake)

Substituting this expression into the total stopping distance equation, we get:

dstop = vo Treact + (vo^2)/(2abrake)

This is the expression for the minimum stopping distance of a car traveling at speed vo with a reaction time Treact and constant maximum braking acceleration abrake.

Part B:

We can use the expression for the minimum stopping distance derived in Part A to find the minimum stopping distance of the car traveling at 46 m/s. We are given that the car traveling at 30 m/s can stop in a distance of 70 m, including the distance traveled during the driver's reaction time of 0.50 s. Using this information, we can find the value of abrake as follows:

dstop = vo Treact + (vo^2)/(2abrake)

70 m = (30 m/s)(0.50 s) + (30 m/s)^2/(2abrake)

Solving for abrake, we get:

abrake = (30 m/s)^2/(2(70 m - 15 m)) = 4.08 m/s^2

Note that we subtracted the distance traveled during the driver's reaction time of 0.50 s, which is 15 m, from the total stopping distance of 70 m to get the distance traveled while braking.

Now that we know the value of abrake, we can use the same expression for the minimum stopping distance to find the minimum stopping distance for the car traveling at 46 m/s:

dstop = vo Treact + (vo^2)/(2abrake)

dstop = (46 m/s)(0.50 s) + (46 m/s)^2/(2(4.08 m/s^2)) = 116 m

Therefore, the minimum stopping distance for the car traveling at 46 m/s is 116 m

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For solution of a) of the particular question where a thin rod and uniform change lies along the x axis=

λ = linear charge density

Consider a small length "dx" at distance "x" from the origin

dq = small charge on the small length = λ dx

r = distance of small length from point P = sqrt(x2 + d2)

small electric field at P due to small length is given as

dE = k dq/r2

dE = k λ dx /(sqrt(x2 + d2))2

dE = k λ dx /(x2 + d2)

From the diagram , we see that "dE Sinθ" are equal and opposite, hence x-components cancel out.

Net electric field at P is given as

E = ∫ 2 dE Cosθ

E = ∫ 2 (k λ dx /(x2 + d2)) (d/sqrt(x2 + d2))

E = ∫ 2 (k λ d dx /(x2 + d2)3/2)

E = ∫ _{0}^{l/2} 2 (k λ d dx /(x2 + d2)3/2)

E = (2 k λ d) ∫_{0}^{l/2}dx /(x2 + d2)3/2

E = (2 k λ d) ((l/2)/ (d2 sqrt(d2 + (l/2)2))

E = (2 k λ d) (Sinθ _{o}/ d2 )                                    

Since

Sinθ _{o} = (l/2) /sqrt(d2 + (l/2)2)

E = 2 k λ Sinθ _{o}/ d

For solution of b)

for infinite length , θ _{o}= 90

E = 2 k λ Sin90/ d

E = 2 k λ / d

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Range of values for given condition will depend on magnitude and directions of the three given forces. [tex]|R| < = 2400 N[/tex]

To find the range of values for the magnitude of force P so that the resultant of the three forces does not exceed 2400 N, find magnitude and direction.

We can do this by using vector addition. Adding the three forces together, we get:

R = F1 + F2 + F3

where F1, F2, and F3 are the magnitudes and directions of the three given forces, and R: magnitude with resultant force direction.

To ensure that the resultant force does not exceed 2400 N, we must have:

|R| <= 2400 N

Therefore, we need to find the range of values for the magnitude of force P that satisfy this inequality.

The magnitudes and directions of the three given forces are not specified in the problem, so we cannot provide a specific numerical answer. However, we can provide a general method for solving the problem.

To find the range of values for the magnitude of force P, we can first find the maximum and minimum values of the magnitude of the resultant force for different values of P. We can then find the range of values of P that satisfy the inequality above.

This can be done numerically by using vector addition and trigonometry to find the magnitude and direction of the resultant force for different values of P. Alternatively, we can use graphical methods such as force polygons or vector diagrams to visualize the resultant force and find the range of values of P that satisfy the inequality.

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The correct answer is e) both b and c.

The quantities that will always be larger for waves on A than for waves on B are the frequency of the first harmonic and the wave velocity.

The frequency of the first harmonic is determined by the tension in the wire. Since A is stretched more tightly than B, the frequency of the first harmonic will be larger for waves on A than for waves on B.

The wave velocity is also determined by the tension in the wire. A higher tension results in a higher wave velocity. Therefore, the wave velocity will also be larger for waves on A than for waves on B.

The amplitude and wavelength of the first harmonic are not affected by the tension in the wire, so they will not be larger for waves on A than for waves on B.

In conclusion, the frequency of the first harmonic and the wave velocity will always be larger for waves on A than for waves on B.

Therefore, the correct answer for quantities that will be larger for waves on A than for waves on B is option e) both b and c.

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a. The potential energy of a hydrogen atom is -2.18 x 10^-18 J. b. The potential energy of a muonic atom is -4.11 x 10^-11 J.

a. The potential energy of a hydrogen atom,

U = -k(q1*q2)/r

where k is the Coulomb constant, q1 and q2 are the charges of the particles, and r is the distance between them.

For a hydrogen atom, the proton has a charge of +e and the electron has a charge of -e, where e is the elementary charge.

U = -k(e^2)/(52.9 pm)

U = -2.18 x 10^-18 J

b. For a muonic atom, the charge of the electron is replaced by a muon with a charge of -e.

U = -k(e^2_muon)/(0.25 pm)

where e_muon = -e = -1.60 x 10^-19 C.

U = -4.11 x 10^-11 J

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The organic compounds in the homologous series have similar chemical properties. The simplest example of homologous series is the first four hydrocarbons; methane, ethane, propane and butane.

The homologous series is known as the group of organic compounds that differ from each other by a methylene group. They are series of compounds with the same functional group and similar chemical properties.

The compounds of carbon in homologous series have different number of carbon atoms. But they contain the same functional group. Alkanes, alkenes and alkynes form the homologous series.

Thus all the alkanes, alkenes and alkynes form homologous series.

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Answer:

KE = 78 J

Explanation:

B will make it to the finish line first assuming they are all charged objects released from rest at the same time.

This is because the acceleration of the charged object is proportional to the magnitude of the electric field and inversely proportional to the mass of the object. Since all the charged objects have the same mass, the acceleration will depend only on the magnitude of the electric field.

In this case, the electric field is uniform and in the direction of the finish line, which means that the magnitude of the electric field is the same for all the charged objects. Therefore, the acceleration will be the same for all the charged objects.

However, since the magnitude of the force on each object is different due to their different charges, the velocity of the objects will differ. The charged object with the smallest charge, which is object B, will have the highest velocity and make it to the finish line first.

Objects A and D will have the same velocity and reach the finish line simultaneously. Object C will be the slowest and reach the finish line last. Therefore, the correct answer is B.

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It will take about 233.34 seconds for the hot dog cooker to raise the temperature of the hot dog from 20∘C to 85∘C.

Specific heat is the amount of heat energy required to raise the temperature of a substance by one degree Celsius or one Kelvin per unit mass.

Here,
To solve this problem, we can use the formula for the amount of heat required to change the temperature of an object,

Q = mcΔT

First, we need to calculate the amount of heat required to raise the temperature of the hot dog from 20∘C to 85∘C:

Q = (0.07 kg)(2500 J/kg⋅K)(85∘C - 20∘C)

Q = 1058.5 J

Next, we can use the formula for electrical power,

P = IV

We can rearrange this formula to solve for the current:

I = P/V

The power required to heat the hot dog can be calculated using the formula for electrical power:

P = V²/R

Substituting the given values, we get:

P = (120 V)²/160 Ω

P = 90 W

I = 90 W/120 V

I = 0.75 A

Finally, we can use the formula for the amount of time required to transfer a certain amount of heat:

t = Q/(IΔT)

Substituting the values we calculated, we get:

t = 1058.5 J/(0.75 A)(65∘C)

t = 233.34 s

Therefore, it will take about 233.34 seconds for the hot dog cooker to raise the temperature of the hot dog from 20∘C to 85∘C.

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Answer:

Explanation:

Kinetic energy = 1/2*m*v^2

The kinetic energy is 4400 joules. The mass is 29 kg. What is the speed

4400 = 1/2*29*v^2

v^2 = 303.44

v=17.42m/s^2

The mass is 18 kg. The velocity is 4.7 m/s. What is the kinetic energy?

KE= 1/2*18*4.7*4.7=198.81J

Answer:

physiology

Explanation:

they examine the tissue and cell

The Sun appears smaller than the Earth from here on Earth, but that is only because the Earth is considerably closer to you than the Sun is. Jupiter due to its rapid revolution, which increases its diameter in the midsection.

Our solar system consists of the star, Sun, planets: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, and small planets such as Pluto.

While the Sun is 150 million kilometers away from where you are, you are on the surface of the Earth.

The planet is an oblate spheroid due to its rapid revolution, which increases its diameter in the midsection.

Therefore, Jupiter due to its rapid revolution increases its diameter in the midsection making it bigger as compared to the world, so it is believed small compared to the Sun and Jupiter.

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A solar system's planets, sun, and other things are created in the solar nebula, a huge disc-shaped mass of gas and dust. Nebula is a Latin term that means "cloud." The

Describe solar energy.

Visit the Article History. Solar energy is another name for it. Solar energy is the name given to the Sun's radiation that can ignite chemical reactions, produce heat, or create electricity. The total solar energy incidence on Earth is far greater than the global energy needs at the moment and in the future. This is extremely dispersed if properly harnessed.

What advantages does solar energy offer?

When combined with storage, solar energy may supply backup power for nights and outages, lower electricity costs, help build a more robust electrical grid, promote economic growth, create jobs, and operate at equivalent effectiveness on both small and big sizes. There are numerous types and sizes of solar energy systems.

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Explanation:

the displacement is the length of direct line of sight from the starting point to the end point. in other word the baseline of the created triangle.

the legs of that triangle are 10 cm and 6 cm.

the angle between both legs is 90 + 45 = 135°.

because 90° is the angle between South and West. and for southwest we have to add 45°

the law of cosine :

c² = a² + b² - 2ab×cos(C)

c is a side, C is the opposite angle, a and b are the other 2 sides.

so, we have in our case

displacement² = 10² + 6² - 2×10×6×cos(135) =

= 100 + 36 - 120×cos(135) =

= 136 - 120×-0.707106781... =

= 136 - 120×-sqrt(2)/2 =

= 136 + 60×sqrt(2) =

= 220.8528137...

displacement = 14.86111751... cm ≈ 15 cm

Answer:

Below

Explanation:

Find time of first stone to strike water ....second stone take 1 s less

First stone

d = 1/2 a t^2

43.9 = 1/2 (9.81)(t^2)   shows  t = ~ 3 seconds

Second stone

d = vo t + 1/2 a t^2

43.9 = vo (t) + 1/2 (9.81) t^2       t = 3 -1 = 2 seconds

43.9 = vo (2) + 4.905 (2)^2

   shows vo = 12.1 m/s

The statement consistent with the first law of thermodynamics is the internal energy of the gas will increase. Option a is correct.

The statement consistent with the first law of thermodynamics is (a) The internal energy of the gas will increase. This is because the work done on the gas is being converted into an increase in internal energy.

Option (b) (c) The internal energy of the gas will decrease, or will not change is incorrect, because work is being done on the gas which will increase its internal energy.

Option (d) does not address the fact that work is being done on the gas, which is also contributing to changes in its internal energy.

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To help psychologists separate uninformed opinions from examined conclusions, psychologists use the scientific method to conduct research. Thus, the correct option for this question is D.

The scientific method may be defined as the process of objectively establishing facts through testing and experimentation.

The basic process involves making an observation, forming a hypothesis, making a prediction, conducting an experiment, and finally analyzing the results.

Psychologists generally employ the scientific method before stating the question, offering a theory, and then constructing rigorous laboratory or field experiments to test the hypothesis.

Therefore, to help psychologists separate uninformed opinions from examined conclusions, psychologists use the scientific method to conduct research. Thus, the correct option for this question is D.

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This is a quote from the novel Song of Solomon which has been authored by Tomi Morrison.

The narrative comes to an ambiguous end with the vision of flying. Readers are left in the dark regarding the fate of Milkman and Guitar even though they both appear to fly in the conclusion. However, Milkman's ability to fly indicates that he has beyond the limitations of his physical form and has a connection to his great-grandfather, Jake, whom he has spent his entire life trying to understand. Despite the fact that Pilate is dead, the book finishes mystically and with a hopeful attitude.

Song of Solomon is a 1977 novel by American author Toni Morrison, her third to be published. It follows the life of Macon "Milkman" Dead III, an African-American man living in Michigan, from birth to adulthood.

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