the formula gives the time it takes in seconds, t, for a pendulum to make one full swing back and forth, where l is the length of the pendulum, in feet. to the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? use 3.14 for . ft

Answers

Answer 1

Answer:

  3 ft

Explanation:

You want the length of a pendulum that has a period of 1.9 seconds.

Pendulum period

The period of a pendulum is given by the formula ...

  T = 2π√(L/g)

Length

Solving for the length, we find ...

  L = g(T/(2π))²

Using the given period, we find the length to be ...

  L = (32 ft/s²)(1.9 s/(2·3.14))² ≈ 2.93 ft ≈ 3 ft

To the nearest foot, the length of the pendulum is 3 ft.

The Formula Gives The Time It Takes In Seconds, T, For A Pendulum To Make One Full Swing Back And Forth,

Related Questions

the large positive charge inside the shell causes equal in magnitude charges distributed on the inner and outer surfaces of the spherical shell. which of the following figures best represents the charge distribution on the inner and outer walls of the shell? (figure 1)

Answers

The electric field inside the conductor is zero. There is no other forces on the outer surfaces except repulsion

An electric field is a real-world field that surrounds electrically charged particles and has the power to either attract or repel other charged particles nearby. The physical field of a system of charged particles can also be referred to. The fundamental components of electric fields are electric charges and time-varying electric currents. One of the four fundamental interactions (also known as forces) of nature, the electromagnetic field, emerges as both electric and magnetic fields... Electrical technology makes use of electric fields, which are significant in many branches of physics.

Since due to the electrostatic induction taken place, inner surface asymmetrically occupied with the negative charge to neutralize  the outer positive charge .The electric field inside the conductor is zero There is no other forces on the outer surfaces except repulsion

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A ladder rests against a vertical wall. There is no friction between the wall and the ladder. The coefficient of static friction between the ladder and the ground is µ =0.611.


Consider the following expressions:

A1: f = Fw

A2: f = Fw sin θ

B1: N =

W

2

B2: N = W

C1: ℓ Fw sin θ = 2 Fw cos θ

C2: ℓ Fw sin θ = ℓ W cos θ

C3: ℓ Fw sin θ =

1

2

ℓ W cos θ ,

where

f: force of friction between the ladder and

the ground,

Fw: normal force on the ladder due to the

wall,

θ: angle between the ladder and the ground,

N: normal force on the ladder due to the

ground,

W: weight of the ladder, and

ℓ: length of the ladder.

(Pt. 1/2) Identify the set of equations which is correct.

1. A2, B2, C1

2. A2, B1, C2

3. A1, B2, C2

4. A2, B1, C1

5. A1, B1, C2

6. A1, B1, C3

7. A1, B1, C1

8. A2, B1, C3

9. A1, B2, C3

10. A1, B2, C1


(Pt.2/2) Determine the smallest angle θ for which the

ladder remains stationary.

Answer in units of °.

Answers

Answer:

the answer is Number nine

The _______________ of change required to remain competitive or simply keep up has created an organizational climate in which hundreds of projects are implemented concurrently

Answers

The velocity of change required to remain competitive or simply keep up has created an organizational climate in which hundreds of projects are implemented concurrently.

The competitiveness of an organization is achieved in conjunction with various organizational actions, such as its strategy and management. Some of the most essential characteristics to achieve competitive advantages are through innovation, quality of products and services, and organizational ethics.  With the increase in competitiveness in the globalized environment, companies need to stand out in several areas, therefore, several projects are implemented simultaneously, requiring management Task delegation, Focus and consistency, Cooperation, Task prioritization, Use of resources and information systems, Communication developed and Feedback, etc. Therefore, to remain competitive, a company must be innovative and offer value to its stakeholders through joint efforts.

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basic conceptual ideas and basic algebraic calculations of sound wave theory (e.g., superposition, constructive and destructive interference, beats, doppler effect, wave velocity equation, speed of sound in various media, standing waves, reflection, refraction, diffraction, propagation).

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Sound wave theory encompasses several basic conceptual ideas and algebraic calculations, including Superposition The principle that when two or more waves overlap, the resulting amplitude at a specific point is the sum of the amplitudes of the individual waves.

What are the basic conceptual ideas and basic algebraic calculations of sound wave theory?Constructive and destructive interference: When two waves are in phase, they reinforce each other (constructive interference) resulting in a larger amplitude. When two waves are out of phase, they cancel each other (destructive interference) resulting in a smaller amplitude or no amplitude.Beats: The fluctuation in sound intensity that occurs when two waves of slightly different frequencies are superimposed.Doppler Effect: The change in frequency of a wave due to the relative motion of the source and observer.Wave velocity equation: The equation that relates the wavelength, frequency, and velocity of a wave. It is v=λf, where v is the velocity, λ is the wavelength, and f is the frequencySpeed of sound in various media: Sound travels at different speeds in different materials, such as air, water, and solids.Standing Waves: A wave that oscillates in a fixed position, often observed in closed systems like strings or air columns.Reflection: The bouncing back of sound waves when they hit a surface.Refraction: The bending of sound waves as they pass through a medium with different densities.Diffraction: The bending of sound waves as they pass around an obstacle or through an opening.Propagation: The movement of sound waves through a medium.In summary, Sound wave theory encompasses several basic conceptual ideas and algebraic calculations, including superposition, constructive and destructive interference, beats, Doppler effect, wave velocity equation, speed of sound in various media, standing waves, reflection, refraction, diffraction, and propagation

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Three small spheres are arranged on the xy-coordinate system shown. The magnitude of the net force on the sphere at the origin is most nearly
a. 0.23N
b. 0.46N
c. 0.66N
d. 0.74N
e. 0.94N

Answers

The magnitude of net force on sphere at origin in xy-coordinate system is 0.23 N using Coulomb's law.

The net force on the sphere at the origin is the vector sum of the forces exerted on it by the other two spheres. To find the net force, we must first calculate the magnitude and direction of the individual forces.

The force exerted by a sphere on another sphere is given by Coulomb's law:

F = k(q1q2)/r^2, where k is the Coulomb constant, q1 and q2 are the charges on the spheres, and r is the distance between the spheres.

In this case, all three spheres have the same charge, so the magnitude of the force exerted by each sphere on the sphere at the origin is kq^2/r^2.

The distance between the sphere at the origin and the sphere at (2,0) is 2 units and the distance between the sphere at the origin and the sphere at (0,3) is 3 units. Therefore, the magnitude of the force exerted by the sphere at (2,0) on the sphere at the origin is kq^2/4, and the magnitude of the force exerted by the sphere at (0,3) on the sphere at the origin is kq^2/9.

Since the two force vectors point in opposite directions, we can find the net force by subtracting the force due to sphere at (2,0) from the force due to sphere at (0,3) .

F_net = F_2 - F_3 = (kq^2/9) - (kq^2/4) = (5kq^2/36)

Given k, q and distance, we can calculate the force. But, as the options provided doesn't match the calculated force, so we can say that the magnitude of the net force on the sphere at the origin is most nearly 0.23N which is the closest to the calculated force.

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A 7.0-kilogram cart, A, and a 3.0-kilogram cart, B, are initially held together at rest on a horizontal, frictionless surface. When a compressed spring attached to one of the carts is released, the carts are pushed apart. After the spring is released, the speed of cart B is 6.0 meters per second, as represented in the diagram below.What is the speed of cart A after the spring is released?
(1) 14 m/s (2) 6.0 m/s (3) 3.0 m/s (4) 2.6 m/s

Answers

The speed of cart A after the spring is released is :  (4) 2.6 m/s.

What is conservation of momentum?

It states that the total momentum of a closed system remains constant if no external forces act on it.

We know that total initial momentum is zero, as carts are at rest before the spring is released.

Let final momentum of cart A be pA and the final momentum of cart B be pB.

Given, mass of cart A is 7.0 kg,  mass of cart B is 3.0 kg, and velocity of cart B is 6.0 m/s after spring is released.

As the total momentum of the system must remain constant, we write;

pA + pB = 0

mAvA + mBvB = 0

7.0A + 3.0(6.0) = 0

A = -3.0*6.0/7.0

= -2.6 m/s

Negative sign means that it's moving in the opposite direction of cart B.

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if you were flying at 99% the speed of light and holding a hand mirror out in front of you, would you see your own reflection?

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If you were traveling at 99% the speed of light while holding a hand mirror in front of you, you would not see your own reflection due to the effect of special relativity.

What is speed of light?Special relativity states that as an object approaches the speed of light, its length in the direction of motion will appear to shorten. This is known as length contraction.Therefore, the mirror would appear to be contracted in the direction of motion, making it too small to reflect your image.Additionally, as an object approaches the speed of light, the time dilation effect would cause time to appear to slow down for the observer, thus the mirror would not reflect the image instantly and the image would be distorted.Furthermore, the mirror would be impacted by the Doppler effect, causing the waves of the reflected light to be shifted to a different frequency, making the reflection appear different than what you expect.Therefore, at 99% the speed of light, it would not be possible to see your own reflection in a hand mirror.

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Calculate the slant height for the given cone. Round to the nearest tenth. a.10.2 cmb.11.4 cmc.9.8 cmd.12.0 cm

Answers

The slant height for the given cone. Round to the nearest tenth. The slant height is 9.8 cm, and the slant height is 11.4 cm.

1) The slant height = 9.8 cm

2) The slant height = 11.4 cm

1) The slant height of the cone = √[(radius)² + (height)²]

Diameter = 8 cm

Radius = 4 cm

Height = 9 cm

Slant height = √(4² + 9²) = √97 = 9.8 cm.

2)The slant height of the cone = √[(radius)² + (height)²]

Diameter = 18 cm

Radius = 9 cm

Height = 7 cm

Slant height = √(9² + 7²) = √130 = 11.4 cm.

The slant height of a pyramid or cone is a critical property. It essentially measures the height of the apex, but along the slant of one of the lateral faces.

Unless the cone is a right circular cone or a right regular polygonal pyramid, the slant height will not be consistent from place to place, making it ineffective. As a result, I'll stick to the right circular cones, the right regular polygonal pyramids, and other right cones with simple bases over here.

The slant height is the shortest possible distance along the solid's surface from the base to the apex. It is usually denoted by either s or l.

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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

The following question has three parts. According to the article, what is a woolly mammoth and why are its tusks so valuable? What has made the mammoths' remains easier to find and collect? Why does this present a problem? (Site 1)

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The reason why civics is important is because it citizens with information about their constitutional rights, duties and responsibilities.

What is civic education?

Civic education has been also referred to as citizen education and it can be defined as a public, socially-oriented system that involves the study of the constitutional rights, duties and responsibilities (obligations) of citizens in a society.

The main purpose of the civic education is to help citizens have an understanding on how government works (functions) while providing them with knowledge about how to influence government and their policies as a citizen.

Therefore, The reason why civics is important is because it citizens with information about their constitutional rights, duties and responsibilities.

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11. A 2 kg chunk of clay moving at 3 m/s collides with and sticks to a 10 kg bowling ball that is
initially at rest. What is the total momentum before the collision?_____
What will be the new MOMENTUM of the clay and bowling ball combination AFTER the collision? ____

Answers

Answer:

The total momentum before the collision is 6 kg m/s (2 kg x 3 m/s).

The new momentum of the clay and bowling ball combination after the collision is 6 kg m/s (2 kg + 10 kg x 3 m/s / (2 kg + 10 kg) = 6 kg m/s). According to the law of conservation of momentum, the total momentum of a closed system must remain constant, so the total momentum before and after the collision must be the same.

Point charges 1 and 2 have charges Q and Q, and are held 3.0 mm apart. The point charges exert an attractive force of 16 N on each other. Which of the following are possible values for the charges? A) Q1 = +1.3 x 10^-7 C and Q2 = +1.3 x 10^-7 C B) Q1 = +1,0 x 10^-7 C and Q2 = +1.6 x 10^-7 C C) Q1 = +1.0 x 10^-7 C and Q2 = -1.6 x 10^-7 C
D) Q1 = +1.0 x 10^-6 C and Q2 = +5.3 x 10^-6 C E) Q1 = +1.0 x 10^-6 C and Q2 = -5,3 x 10^-6 C

Answers

The point charges exert an attractive force of 16 N on each other. The charge obtained is Q₁ = 1.6 × 10⁻⁷ C and Q₂ = -1.6 × 10⁻⁷ C. The correct option is option (B).

Given force F = 16N

d = 3.0 mm = 3.0 × 10⁻³m

The force between the two charges is given by:

F = ( k × Q₁ × Q₂) ÷ d²

16 = ((9 × 10⁹) ÷ (3.0 × 10⁻³)) (Q₁ × Q₂)

(Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C²

Since, (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² the force is attractive.

The charges must be of opposite signs.

Q₁ = 1.6 × 10⁻⁷ C

Q₂ = -1.6 × 10⁻⁷ C

Now,  (Q₁ × Q₂) = ( 1.6 × 10⁻¹⁴) C² therefore, the correct option is option (B).

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A 12-cm-long spring is attached to the ceiling. When a 2.5 kg mass is hung from it, the spring stretches to a length of 17 cm
A) How long is the spring when a 3.0 kg mass is suspended from it?

Answers

The spring stretches to a length of 21.86 cm when a 3.0 kg mass is suspended from it.

What is mass and calculation for above answer?

F = k x

In this case, the force is the weight of the 2.5 kg mass, which is equal to 9.81 N (since weight = mass x gravity)Therefore, 9.81 N = k * (17 cm - 12 cm)Solving for k, we get k = 0.29 N/cmTo find the length of the spring when a 3.0 kg mass is suspended from it, we can use Hooke's Law again.The force is now the weight of the 3.0 kg mass, which is equal to 29.43 NTherefore, 29.43 N = 0.29 N/cm x (x - 12 cm)Solving for x, we get x = 21.86 cm, so the spring stretches to a length of 21.86 cm when a 3.0 kg mass is suspended from it.

The spring constant (k) can be calculated using Hooke's Law, which states that the force (F) exerted by a spring is equal to the spring constant multiplied by the amount of stretch or compression (x)

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An electron (mass 9.11 x 10-31 kg) traveling with a horizontal speed v = 4.00 x 106 m/s, enters a uniform electric field created by two charged parallel plates. The electron enters at the edge of the lower plate, and travels at an angle of 300 above horizontal, but is deflected toward the lower plate: The electron travels a horizontal distance of 5.00 cm before hitting - the lower plate: a) How long does it take the electron to hit the lower plate, from the time the electron enters the electric field? [1] b) What is the magnitude of the acceleration of the electron? [1] c) What is the magnitude of the electric field between the plates? [1] d) What is the direction of the electric field? [1] 300

Answers

Upon entering a uniform electric field produced by two charged parallel plates, an electron with a mass of 9.11 x 10-31 kg moving at a horizontal speed of 4.00 × 106 m/s does so.

What is electron and how much time it takes to travel?

The electron enters at the edge of the lower plate, and travels at an angle of 300 above horizontal, but is deflected toward the lower plate.The electron travels a horizontal distance of 5.00 cm before hitting the lower plate.

a) To find the time it takes the electron to hit the lower plate, you can use the distance and velocity of the electron.

Time = Distance / Velocity = 5.00 cm / 4.00 x 106 m/s = 1.25 x 10^-10 s

b) To find the acceleration of the electron, you can use the equation a = F / m, where F is the force acting on the electron and m is the mass of the electron.

Acceleration of the electron = Force / mass = Electric force / mass = Electric field x charge of electron / mass = E * e / m

c) To find the magnitude of the electric field between the plates, we can use the equation E = F / q where F is the force acting on the electron and q is the charge of the electron.

Electric field = Electric force / electron charge = ma = (m*a) / e

d)The direction of the electric field can be determined by observing the movement of the electron. The electron is deflected towards the lower plate which means the direction of the electric field is from the upper plate to the lower plate.

It is important to note that the electron is negatively charged and the direction of the force on a negatively charged particle is opposite to the direction of the electric field.

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A string is fixed between the wave driver and pulley located 50.0 cm apart. A 200. g mass is atteched to the end of the string providing the tension. When a wave generator vibrates at 150. Hz the string resonates in the third mode. 50.0 cm OOM Mass 200.g a. Sketch the first 5 modes of vibration for this setup b. Find the wavelength for cach of these modes c. Determine the speed of the wave for each of these modes d. Determine the resonant frequency for each of these modes MODE DIAGRAM WAVELENGTH FREQUENCY WAVE SPEED 1st 50.0 cm 2nd 3rd 150

Answers

In scenario a, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.

Determine the speed of the wave for each of these modes ?

v = ν λ

v = Wave speed

λ = Wavelength

ν = Frequency

λ = 690.4 nm

Since the wave considered here is visible light,

v = c = 3 * 10⁸ m / s

ν = v / λ

ν = 3 * 10⁸ / 690.4 * 10⁻⁹ m

ν = 434.53 * 10¹² Hz

ν = 434.53 THz

E = h ν

E = Energy

h = Planck's constant

ν = Frequency

h = 6.626 * 10⁻³⁴ J s

E = 6.626 * 10⁻³⁴ * 434.53 * 10¹²

E = 2879.19 * 10²² J

E = 28.79 * 10²⁴ J

E = 28.79 YJ

Therefore, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.

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Is there an equal and opposite reaction for every action?

Answers

Answer:

NO

Explanation:

I dont care

When a cross is made between round seed and yellow seeds (RrYy) and round seed and green seeds (Rryy), what proportion of phenotype in the offspring could be expected to be wrinkled and green

Answers

The proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8

Let us represent phenotype in an organized way for ease of understanding.

Gamete  Ry          ry

RY          RRYy  RrYy

Ry          RRyy  Rryy

rY          rRYy  rrYy

ry          Rryy  rryy

First, let us discuss Yellow and Round seeds. From the data above, we can conclude that the Yellow and Round seeds are phenotypes that are dominant in nature. Therefore, we express them in Heterozygous state.

Now, let us discuss Green and wrinkled seeds. Green and wrinkled seeds are expressed in recessive homozygous state which can be found only in rryy.

So, the proportion of phenotype in the offspring that could be expected to be wrinkled and green is 1/8

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carbon dioxide could also be your answer if you dont have water

Answers

Answer:  The human breathing mechanism actual revolves around CO2, not oxygen. Without carbon dioxide, humans wouldn't be able to breathe.

Explanation:

vague question - i tried to answer as best as i could

suppose a rocket ship is in a circular orbit around earth with radius r. suppose the rocket fires its engines quickly increasing its speed to a times its previous speed. find the maximum a so that the rocket is still in a closed orbit.

Answers

The maximum value of a is the ratio of the escape velocity to the initial velocity. a = v_f / v_i = v_e / v_i

What is escape velocity?

Maximum value of a that the rocket can achieve while still remaining in  closed orbit around Earth is determined by rocket's escape velocity. The escape velocity is the minimum velocity that object needs to overcome  gravitational pull of the Earth and escape into the outer space.

For circular orbit, escape velocity is given by :

v_e = √(2GM/r)

Where G is gravitational constant, M is mass of the Earth, and r is radius of the orbit.

To find the maximum value of a, we set the rocket's final velocity equal to the escape velocity, and solve for a:

a = v_f / v_i = v_e / v_i

Where v_f is final velocity and v_i is initial velocity.

So, maximum value of a is equal to the ratio of the escape velocity to the initial velocity.

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VT 104.00 V, IT = ?, RT = ?
V₁?, ₁= ?, R₁= ?
V₂= 48.00 V,
12= ?,
R₂ = ?
V3- 37.00 V, 13= ?,
R3-16.00 Ohms
Solve for all the necessary parts of the circuit to answer the following
question:
What is the voltage drop at (V₁) which is the voltage drop at resistor
one?
HELP PLEASE GIVING BRIANLEST

Answers

Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law.

What exactly is the Ohm's law?Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law. Like Einstein's Relativity equation (E = mc2) is to physicists, Ohm's Law (E = IR) is crucial to students of electronics. E = I x R.Ohm's law states that V = IR, where V is the voltage applied across the conductor, I is the current flowing through it, and R is the resistance the conductor offers to the flow of current.Voltage, current, and resistance in an electrical circuit are calculated using the formula known as Ohm's Law. Like Einstein's Relativity equation (E = mc2) is to physicists, Ohm's Law (E = IR) is crucial to students of electronics. E = I x R.          

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the weights of the empty cardboard boxes for candy canes have a mean of 22 grams with a standard deviation of .7 grams. you may assume that the weights of the boxes and the candy canes are independent. also, you may assume that t he weights of the candy canes randomly selected for each box are independent.

Answers

Let X be a random variable that represents the weight of a single Grade A egg chosen at random. for the empty cardboard candy cane box weights, which had a mean of 22 grammes and a standard deviation

I What does X mean?

The expected value properties show that E(W) = E(P)+ E(X1) + + E(X12) This results in E(W) = E(P) + 12 E since the mean weight of all 12 eggs is the same (X;). In light of the information that E(W) = 840 and E(P) = 20, we can use the equation 840 = 20 + 12 E(X;) to determine E(X;) 840-20 12 68.33 grammes.

Secondly, what is X's standard deviation?

Properties of variance prove that Var (W) = Var (P) + Var (X1) + Var (X2) +... + Var due to independence (X12).

This equals Var(W) Var(P) + 12 x Var since the variance of the weights of all 12 eggs is the same (X;).

SD (W) was given a value of 7.9 and SD (P) a value of 1.7. Var (W) = 7.92 = 62.41, and Var (P) = 1.722 = 2.89, as a result.

Var (X,) = = SD(X)=(496)2.23 grammes may be obtained by solving 62.41 = 2.89 + 12 x Var(X,).

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You wish to determine the height of the smokestack of a local coal burning power plant. You convince a member of the maintenance crew to mount the support for a simple pendulum at the top of the stack and you suspend a 1.00 kg mass that just misses the ground at its lowest point from the pendulum cord. If the period of the pendulum is 38.3 s, determine the height of the smokestack in m.

If you had the ability to take this pendulum to the moon, where the acceleration due to gravity is 1.67 m/s2, what would you expect the period of the pendulum to be in seconds.

Answers

Explanation:

To determine the height of the smokestack using a simple pendulum, we can use the formula:

T = 2π √(L/g)

where T is the period of the pendulum in seconds, L is the length of the pendulum in meters, and g is the acceleration due to gravity in m/s^2.

Given that the period of the pendulum is 38.3 s and the acceleration due to gravity on Earth is 9.8 m/s^2, we can solve for L:

38.3 = 2π √(L/9.8)

L = (38.3^2) * 9.8 / (4π^2)

L = (1461.69) / (39.4784)

L = 37.03 m

So the height of the smokestack is 37.03 m.

To find the period of the pendulum on the moon, we can use the same formula, but substitute the acceleration due to gravity on the moon, which is 1.67 m/s^2, for the value of g.

T = 2π √(L/1.67)

Given that L=37.03m, we can calculate the period of the pendulum on the moon:

T = 2π √(37.03/1.67)

T = 2π √22.24

T ≈ 45.5 seconds

As the temperature of a gas increases, the kinetic energy of its particles:a. increasesb. decreasesc. remains the same

Answers

The maximum throughput of kinetic energy of either the hydrogen atoms increase as the temperature rises.

Which energy do users mean by kinetic?

Describe kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is exerted on it by exerting a net force.

How can one locate kinetic energy?

The relationship between kinetic energy and an object's mass and square of its movement is direct: K.E. = 0.5 m v2. The kinetic energy is measured in kilograms-meters squared per real - time data if the mass is measured in kilograms and the velocity is measured in meters per second.

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A 5,824-kg railroad car moving at 4.5 m/s to the east collides with a 3,642-kg railroad car moving at 3.8 m/s to the west. If the cars couple together, what is their velocity after the collision?

Answers

The cars' post-collision velocity, if they were tied together, would be v = 1.30 m/s. We may use the Conservation of Momentum equation to determine the final velocity since we are dealing with two objects colliding.

When two objects collide, the left side of the equation represents the situation prior to the collision, and the right side of the equation represents the situation following the collision.

We are dealing with an inelastic collision if the automobiles are still connected after the accident.

Make the East the positive direction and the West the negative direction.

Car 1 will be the designation for the railroad car traveling east, while Car 2 will be the designation for the railroad car traveling west.

The following is a list of the factors we know based on the question itself:

m1 = 5824 kg, and m2 = 3642 kg.

4.5 m/s to the East for v1(i).

3.8 m/s to the West for v2(i).

Since the cars pair together after the impact, they will have the same ultimate velocity, which is what we are attempting to solve for.

Let's modify the Conservation of Momentum equation to include the known variables.

m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂

(5824)(4.5) + (3642)(-3.8)

= (5824)(v) + (3642)(v1) (v2)

We can factor out "v" because the ultimate velocities for both cars are the same.

(5824)(4.5) + (3642)(-3.8) = (5824)(v) + (3642)(v)

Simplify the problem on both sides.

12368.4 = 9466 v

v = 1.30 m/s

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you have a teardrop-shaped 3.00-kg k g object that has a hook at one end and is 0.28 m m long along its longest axis in (figure 1). when you try to balance the object on your fingers, it balances when your fingers are 0.20 m m from the hook end. when you hang the object by the hook and set it into simple harmonic motion, it completes 12 cycles in 15 s s . figure1 of 1 a teardrop shaped object has a hook at its narrow end. the object is 0.28 meters long along its longest axis. the object is balanced on the fingers of a hand so that the longest axis is horizontal and the fingers are 0.20 meters from the hook along this axis. part a what is the object's rotational inertia i i about the hook?

Answers

The rotational inertia of the object about the hook is 0.012 kg m^2.

The rotational inertia of an object, denoted by I, is a measure of an object's resistance to rotational motion about a specific axis. It can be calculated using the formula: I = mr^2, where m is the mass of the object and r is the distance from the axis of rotation to the point where the mass is located.

In this case, the object is teardrop-shaped, with a mass of 3.00 kg, and a hook at one end. The object is balanced on your fingers when they are 0.20 m from the hook end, so the distance from the axis of rotation (the hook) to the point where the mass is located (the center of mass) is 0.20 m.

Therefore, the rotational inertia of the object about the hook is:
I = m*r^2
I = 3.00 kg * (0.20 m)^2
I = 0.012 kg m^2

So the rotational inertia of the object about the hook is 0.012 kg m^2

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When driving on a straight flat freeway, you keep your foot on the accelerator to keep the car in motion at constant velocity. Which of the following represents this situation? The net force on the car
A. is in the forward direction
B. depends on the car’s speed
C. is toward the rear
D. depends on the car’s engine
E. is zero

Answers

Answer: E. is zero

Explanation: According to Newton's first law of motion, any object moving at constant velocity has no net external force acting upon it, which means that the sum of the forces acting on the object must be zero. Given that the car is maintaining a constant velocity, we can say that there is no net force acting on the car.

Why does the norm(s) exist? What can you find/do you believe is the purpose behind this norm in the
sport?

Answers

The boundaries between what is acceptable and unacceptable behavior are set by norms.

What are the rules of sports?

Norms establish the parameters for what is proper and improper conduct. The majority of teams do not establish a set of codified norms, even though team members frequently abide by standards. Teams may have norms for a range of difficulties.

Norms are a key idea in the social sciences. Most frequently, they are referred to as rules or expectations set by society. There are two types of norms: prescriptive (encouraging good behavior, like "be honest") and proscriptive (forbidding bad behavior, like "do not cheat").

Humans need norms to regulate their behavior, maintain predictability and stability in interpersonal interactions, and comprehend and make sense of one another's actions. These are some.

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The velocity of a machine element over a 10 second period is:
V=2.5t m/s 0 V=10 m/s 4 a) If the element is an ideal damper with B=10N-s/m, determine the power absorbed as a function of time, and the total energy dissipated over the 10 s period.
b) If the element represents aerodynamic drag, approximated by the characteristic F=CV^2 determine the power absorbed as a function of time, and the total energy dissipated if C= 1.0 N-s^2/m^2
c) In the time period t<4 s, how does the power absorbed by the two dampers compare? Which damper dissipates the most energy in the 10 s period.
d) At a velocity of 20 m/s, which damper absorbs the most power?

Answers

Determine the strength absorbed as a consequence of time and the overall energy dissipated throughout the 10 s period if the element is an excellent damper with B=10N-s/m.

What are some examples of velocity?

Velocity can be defined as the rate at which an object moves in a specific direction. as the velocity of a car driving northwest on a highway or the pace at which a rocket takes off. Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.

Why is speed referred to be a scalar quantity?

Scalar quantities can be described by their size or magnitude alone and do not require any other information. Thus, examples of are 10 cm, 50 sec, 7 liters, and 3 kg.Scalar amounts. Both a size or quantity and a direction, referred to as the quantity's line of action, are characteristics of vector quantities.

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Cold cabin? The Fathom screen shot below shows the results of taking 500 SRSs of 10 temperature readings from a population distribution that is N(50,3) and recording the sample variance s2x each time. (a) Describe the approximate sampling distribution. (b) Suppose that the variance from an actual sample is s2x=25. What would you conclude about the thermostat manufacturer's claim? Explain.

Answers

(a) The approximate sampling distribution of the sample variance, s2x, is a chi-squared distribution with n-1 degrees of freedom, where n is the sample size (in this case, 10).

What is sampling distribution?(b) If the variance from an actual sample is s2x = 25, it would suggest that the thermostat manufacturer's claim of a population variance of 3 is not accurate. This is because a sample variance of 25 is much larger than the claimed population variance of 3, indicating that the thermostats do not maintain a consistent temperature as claimed. Additional investigation would be needed to confirm whether this is due to a manufacturing issue or some other cause.

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Two ong; parallel wires separated by 2.40 cm carry currents in opposite directions: The current in one wire 1.30 and the current in the other is 3.10 (a) Find the magnitude of the force per unit length that one wire exerts on the other: The correct answer not zero Nlm (b) Is the force attractive or repulsive? attractive repulsive

Answers

a) the magnitude of the force per unit length that one wire exerts on the other: 1.084 × 10⁻⁵ T

b) Force is repulsive in nature.

What is magnetic field?

The surface magnetic field and Earth's magnetic field are roughly magnetic dipoles, with the magnetic field's S pole located close to the planet's geographic north pole  and the magnetic field's N pole located close to the planet's geographic south pole. The magnetic field, which is created by the movement of molten iron in the Earth's core, shields the globe from cosmic radiation and solar radiation as well as from charged particles. Furthermore, it offers the framework for compass navigation.

a)

Given that,

Two long parallel wires separated by 2.40 cm

The current in one wire 1.30 A

current in the other is 3.10 A

So, magnetic field due to I₁:  B₁ = {μ₀ I₁} / 2π(r/2)

B₁ = {12.57× 10⁻⁷ H/m (1.30 A)} / 2π(2.40 × 10⁻² m/2)

B₁ = 1.084 × 10⁻⁵ T

So, magnetic field due to I₁:  B₂ = {μ₀ I₂} / 2π(r/2)

B₂ = {12.57× 10⁻⁷ H/m (3.10 A)} / 2π(2.40 × 10⁻² m/2)

B₂ = 2.168 × 10⁻⁵ T

Thus, the net magnitude of magnetic field (B) = B₂ - B₁

or, B = 1.084 × 10⁻⁵ T

b)

Force is repulsive as currents are opposite in direction

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We want to know how a student’s level of education and their gender impacts both their annual income and amount of student loan debt. However, we want to account for the annual income of the student’s parents as well. What is the dependent variable?

Answers

The dependent variable in this scenario is the annual income and the amount of student loan debt of the student. The independent variables are the level of education and gender of the student, and the annual income of the student's parents.

What is the dependent variable?

The dependent variable is the variable that the research aims to investigate or measure. In this case, the dependent variable is the annual income and the amount of student loan debt of the student. The research aims to understand how the level of education and gender of the student impact their annual income and student loan debt.

Therefore, the research aims to investigate the relationship between the student's level of education and gender with their annual income and amount of student loan debt, while taking into account the annual income of the student's parents as a potential confounding variable.

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