Complete the sentences to describe the difference between static and dynamic equilibrium.

An object in equilibrium has a net force of
. Static equilibrium describes an object at
having equal and balanced forces acting upon it. Dynamic equilibrium describes an object in
having equal and balanced forces acting upon it.

Answers

Answer 1

To complete the sentences, we have

An object in equilibrium has a net force of zeroStatic equilibrium describes an object at rest having equal and balanced forces acting upon it. Dynamic equilibrium describes an object in motion having equal and balanced forces acting upon it.

What is equilibrium?

Equilibrium is the phenomenom in which no net force acts on an object.

What is Static Equilibrium?

Static equilibrium is equilibrium is which the body is at rest and has equaland balanced forces acting on it.

What is Dynamic Equilibrium?

Dynamic equilibrium is equilibrium is which the body in motion and has equaland balanced forces acting on it.

So, to complete the sentences, we have

An object in equilibrium has a net force of zeroStatic equilibrium describes an object at rest having equal and balanced forces acting upon it. Dynamic equilibrium describes an object in motion having equal and balanced forces acting upon it.

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Related Questions

which are ways of transferring thermal energy? multiple select question. conduction radiation transference emission convection

Answers

The ways of transferring thermal energy are Conduction, Convection and Radiation.

Heat transfer is the movement of molecules from a region of higher temperature to a lower temperature. It can be done in three ways:

ConductionConvectionRadiation

Conduction is the heat transfer done through direct contact between two bodies. Convection is the heat transfer done by movement of fluids such as water or air. Radiation is the heat transfer done by electromagnetic waves.

Therefore, the ways of transferring thermal energy are Conduction, Convection and Radiation.

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In a first order decomposition, the constant is 0.00586 sec-1. what percentage of the compound is left after 3.32 minutes?

Answers

The correct answer for percentage of the compound is left after 3.32 minutes is 55 % .

We use the formula A(t) = A0e-kt for decomposition, where A0 is the initial amount of decomposed substance at t = 0, k is the decay constant, t is the time elapsed, and A(t) is the amount after time t.

The percentage of decomposed compound left after a time t is, [A(t)], divided the the initial amount, [A0], time 100, or A/A0*100:

A = A0e-kt

A/A0 = e^- 0.00586t, [k = 0.00299, divide both sides by A0]

A/Ao = e^(-0.00299*199), [t = 3.32 min*(60 sec/ 1 min) =199 sec]

A/A0 = . 0.551= 55%, (* 100, rounded)

The Arrhenius equation is k = Ae(-Ea/kT), where A is the frequency or pre-exponential factor and e(-Ea/RT) is the fraction of collisions at temperature T that have enough energy to overcome the activation barrier (i.e., have energy greater than or equal to the activation energy Ea).

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The frequency of new cases of a disorder within a given time period is referred to as:______

Answers

Incidence is referred to as the frequency of new cases of a disorder in a given period of time.

What is incidence?

The prevalence of an illness over a specific time period can be calculated using the incidence metric, which measures disease prevalence. In light of this, the incidence of a disease is the quantity of newly discovered cases. An illness' incidence rate is calculated by dividing the number of people at risk for the illness by the number of new cases of the illness. Out of 200 women who participated in the study (and who were free of breast cancer at the start of the study period), five would be diagnosed with breast cancer during the course of a year. In this case, the incidence of breast cancer in this cohort would be 0.025. (Or 2,500 per 100,000 study years among women)

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A particle has an acceleration of 6.14 m/s2 for 0.300 s. at the end of this time the particle's velocity is 9.41 m/s. part a what was the particle's initial velocity? chefggg

Answers

The initial velocity of particle is 7.568 m/s

Given:

Acceleration = a = 6.14 m/s2

Time = t = 0.300 s.

final velocity = v = 9.41 m/s.

To Find:

initial velocity = u

Solution: Velocity is the prime indicator of the position as well as the rapidity of the object.

v = u + at

u = v - at = 9.41 - 6.14*0.3 = 7.568 m/s

Hence, initial velocity of particle is 7.568 m/s

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What is the acceleration of a 10 kg mass pushed 5 n forceushed by a 5n(kg-m/s2) (use gresa method)

Answers

The final acceleration of the object is 2 m/[tex]s^{2}[/tex].

In this problem,

Applied force(F) = 10 N

The object’s mass (m) is 5 kg.

Having said that,

An object’s force is equal to the product of its mass and the acceleration it experiences as a result of the applied force.

i.e., Mass + Acceleration = Force (a)

F= m×a

Therefore,

A= F÷m

A= (10÷5) m/sec²

A= 2 m/sec²

Consequently, the object’s acceleration,

A=2 m/sec²

Concept of force and acceleration:

This states that the rate of velocity change of an object is directly proportional to the applied force and moves in the direction of the applied force.

It can be expressed mathematically as force (N) = mass (kg) x acceleration (m/s2). Therefore, an object with constant mass will accelerate in direct proportion to the applied force.

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When the position of a block in simple harmonic motion on a spring is zero, what other quantity is also zero?
a) acceleration
b) phase
c) constant
d) frequency
e) velocity

Answers

When the position of a block in simple harmonic motion on a spring is zero, acceleration of the block is also zero.

Position of a block performing simple harmonic oscillation is given by

[tex]x(t) = ASin(wt - \phi)[/tex]  where, '[tex]A[/tex]' , '[tex]w[/tex]' and '[tex]\phi[/tex]' are the amplitude, angular velocity and phase difference of the particle performing simple harmonic oscillation. Substituting time [tex]t = \frac{1}{w} + \phi[/tex] in the [tex]x(t) = ASin(wt - \phi)[/tex] we get position of the block to be zero. This implies the position of the block is zero at time [tex]t = \frac{1}{w} + \phi[/tex].

Now, the acceleration is the second derivative of position w.r.t time, thus, [tex]a(t) = -w^{2}ASin(wt - \phi)[/tex] is the acceleration of the block. Now, the acceleration of the block at time [tex]t = \frac{1}{w} + \phi[/tex] becomes zero.

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What simple way of interpretataing astronomical observations did copenicus advicate?

Answers

Nicolaus Copernicus advocated that the Earth and all other planets orbits around the sun in circular paths at uniform speeds.

Nicolaus Copernicus named this model as Copernicus's Heliocentric Model in 1543. Until his theory was published, it was believed that the Earth is the center of the solar system and the sun moves around it.

The mistake in his theory is that the orbits are circle in shape whereas the correct shape is elliptical which was later corrected by Kepler's model in 1609 which was later proved by Galileo Galilei with the help of telescope.

Therefore, Nicolaus Copernicus advocated that the Earth and all other planets orbits around the sun in circular paths at uniform speeds.

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A 1.00 l sample of water contains 0.0056 g of nh2- ions. determine the concentration of nh2- ions in ppm if the density of the solution is 1.00 g/ml.

Answers

In ppm the concentration of NH2- ions is 5.6 ppm.

We have 1 L sample of water contains 0.0056 g of NH2- ions.

We have to determine the concentration of NH2- ions in ppm.

What is PPM ?

PPM is a term used in chemistry to denote a very, very low concentration of a solution.

According to the question -

Mass of the aqueous solution of NH2- ionsdensity x volume

1 L x 1000 mL x 1 g/mL = 1000g

Now, the ratio of chloride ion mass to the solution mass will give the concentration of NH2- ions →

c = 0.0056/1000

Now, in order to express the concentration in parts per million -

c = (0.0056/0.001 x 10⁶) = 5.6/10⁶

Now -

c = 5.6 g of NH2- ions per 1 million grams of solution which is equal to concentration in ppm.

Hence, in ppm the concentration of NH2- ions is 5.6 ppm.

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a) How far did the vehicle travel in total? ​
I need help on how to count each distance please

Answers

The total distance travelled during the vehicle's journey as found from the speed-time graph is 6.125 m

V = d / t

V = ( u + v ) / 2

V = Average Speed

d = Distance

t = Time

u = Initial velocity

v = Final velocity

During the first 0.5 s, u = 0 and v = 1 m / s.

d = ( 0 + 1 ) * 0.5 / 2

d = 0.25 m

During the next 0.5 s, u and v are equal meaning constant velocity ( V = 1 m / s ).

d = 1 * 0.5

d = 0.5 m

During the next 1 s, u = 1 m / s and v = 1.5 m / s.

d = ( 1 + 1.5 ) * 1 / 2

d = 1.25 m

During the next 2.5 s, u and v are equal meaning constant velocity ( V = 1.5 m / s ).

d = 1.5 * 2.5

d = 3.75 m

During the next 0.5 s, u = 1.5 m / s and v = 0.

d = ( 1.5 + 0 ) * 0.5 / 2

d = 0.375 m

Total distance travelled is the sum of all the individual distances calculated.

Total distance travelled = 0.25 + 0.5 + 1.25 + 3.75 + 0.375

Total distance travelled = 6.125 m

Therefore, the total distance travelled during the vehicle's journey as found from the speed-time graph is 6.125 m

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Hypochlorous acid, hclo, has a pka of 7.54. at what ph are the concentration of clo- and hclo equal?

Answers

At the pH of 4.24, both the concentration of clo- and hclo are equal.

The equal concentration of clo- and hclo are 5.75 x [tex]10^{-5}[/tex] M

What is Hypochlorous acid?

When chlorine dissolves in water, a weak acid called hypochlorous acid is created. This acid then partially dissociates to produce hypochlorite or ClO. Oxidizers and the main disinfectants in chlorine solutions are HClO and ClO.

It is impossible to extract HClO from these solutions because it equilibrates with chlorine very quickly.

Many commercial bleaches, deodorants, and disinfectants contain the related chemicals sodium hypochlorite (NaClO) and calcium hypochlorite (Ca(ClO)2) due to their potent antibacterial qualities.

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A 25 kg biker is riding their bike
down the street with a force of 35N.
A sudden gust of wind pushes back
the biker with 20N. What is the
acceleration of the biker?

Answers

The acceleration of the biker is 0.6 m s⁻².

Acceleration is the price of change in the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given through the orientation of the internet force performing on that item.

Acceleration is the name we deliver to any process where the speed changes. for the reason, that speed is a speed and a course, there are best methods so one can accelerate. Acceleration and Deceleration are one of the most essential subjects in the subject of science. Acceleration is the price of the converting of speed in any item, and deceleration refers to the price of acceleration,

forward force = 35 N

backward force = 20 N

Net force = 35 - 20

               = 15 N

we know that,

  force = mass × acceleration

      15 N = 25 kg × acceleration

Acceleration = 15/25

                       = 0.6 m s⁻²

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At a particular instant a proton exerts an electric force of <5.1e-13, 5.6e-13, 0> n on an electron. how far apart are the proton and the electron?

Answers

Electrical forces can be divided into two categories: attractive electrical forces and repellent electrical forces. Similar charges repel one another whereas opposite charges attract one another.

What is meant by electric force?

The electric force attracts the nucleus and electrons to one another. The emptiness that a positive or negative charge leaves behind is known as an electric field because a field is produced there.

Electrical forces can be categorized into two groups: those that attract and those that repel. While opposite charges attract one another, similar charges repel one another.

Electrical forces are produced when two charges come into contact with one another. The electric force exerted on a single charge when there are three or more charges present is just the culmination of the results of each charge's interactions with the other charges.

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A sample of gas in a closed container at a temperature of 76°c and a pressure of 5. 0 atm is heated to 399°c. What pressure does the gas exert at the higher temperature? report your answer in atmospheres to one decimal place.

Answers

By using ideal gas approximation, the final pressure is 9.6 atm.

We need to know about ideal gas to solve this problem. The ideal gas will follow the rule

P . V = n . R . T

where P is pressure, V is volume, n is the amount of substance, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

In the isochoric process where the initial and final volume is the same, the temperature and pressure will follow the rule

P1/T1 = P2/T2

where P1 is initial pressure, P2 is final pressure, T1 is initial temperature and T2 is final temperature. (Temperature in Kelvin)

From the question above, we know that:

P1 = 5.0 atm

T1 = 76°C = 349 K

T2 = 399°C = 672 K

By substituting the parameters, we get

P1/T1 = P2/T2

5.0/349 = P2/672

P2 = 9.6 atm

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A certain reaction has an activation energy of 33.09 kj/mol.33.09 kj/mol. at what kelvin temperature will the reaction proceed 3.503.50 times faster than it did at 359 k?

Answers

At 8.3145 k temperature will the reaction proceed 3.503.50 times faster than it did at 359 k.

What is activation energy?

Enactment energy is the base measure of energy expected to start a response. It is the level of the potential energy obstruction between the potential energy minima of the reactants and items. Actuation energy is indicated by E and normally has units of kilojoules per mole (kJ/mol) or kilocalories per mole (kcal/mol). Regardless of whether the energy of reactants is more prominent than that of its items and the outcome is a general loss of energy, energy actually should be input at first for the response to happen. Nonetheless, in a large number of the cases in which a response is thermodynamically plausible it has likewise demonstrated conceivable to track down an impetus, dynamic and particular enough to understand this response.

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Why does the periodic table work?

Answers

Answer:

The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element.

Explanation:

The periodic table is a graphical collection of element data. The table lists the chemical elements in order of increasing atomic number, which is the number of protons in an atom of an element. The rows (periods) and columns (groups) organize elements according to similar properties.

The atomic number, or the number of protons in an element's atom, is used in the table to organize the chemical elements.

How does the periodic table ?

The Gaussian Model in subatomic particles, which allows the known elementary particles to be arranged according to their inherent properties, can be compared to the periodic table. The table is significant because it is set up to offer a wealth of knowledge on elements and their interactions in a single reference. Even elements that have yet to be found can have their properties predicted using the table.

What is periodic table and its importance?

All known elements are grouped together in the periodic table of the elements into groupings with related properties. It becomes a crucial tool for chemists, nanotechnologists, as well as other scientists as a result. You can forecast how chemicals will react if we learn to use and comprehend the periodic table.

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Calculate the energy of a photon emitted when an electron in a hydrogen atom undergoes a transition from =7 to =1.

Answers

1.549×10-19lJ is the energy of a photon emitted when an electron in a hydrogen atom undergoes a transition from =7 to =1.

The equation E= hcE =hc, where h is Planck's constant and c is the speed of light, describes the inverse relationship between a photon's energy (E) and the wavelength of light ().

The Rydberg formula is used to determine the energy change.

Rydberg's original formula used wavelengths, but we may rewrite it using units of energy instead. The result is the following.

aaΔE=R(1n2f−1n2i) aa

were

2.17810-18lJ is the Rydberg constant.

The initial and ultimate energy levels are ni and nf.

As a change of pace from

n=5 to n=3 gives us

ΔE

=2.178×10-18lJ (132−152)

=2.178×10-18lJ (19−125)

=2.178×10-18lJ×25 - 9/25×9

=2.178×10-18lJ×16/225

=1.549×10-19lJ

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What is the resultant ph if 50 ml of 0.1 m hcl are added to 800 ml of 0.05 m acetate buffer at ph 5.2? the pka of acetic acid is 4.76?

Answers

The resultant pH= 4.95

Steps

A weak acid solution and a conjugate base solution can be combined to create a buffer.

Strong acid or strong base addition does not result in a significant pH shift when a weak acid and conjugate base are present in the solution.

A buffer's pH can be determined using the Henderson-Hasselbalch equation:

pH = Pka + log [base] / [acid]

Let 0.05-x represent the amount of acetate in the buffer and x represent the amount of acetic acid in the buffer.

5.2 = 4.75 + log 0.05− x / x

0.05− x = 0.0369 M

HA = 0.0130 M × 800 mL+ 50 mL× 0.1 M = 15.47 mmol

A = 0.0369 M× 800 mL− 50 mL×0.1 M = 24.52 mmol

The new pH is:

pH= 4.75 + log 25.42 / 15.47

pH= 4.95

The resultant pH of the solution= 4.95

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A bumblebee flies with a ground speed of 15.3 m/s . calculate its speed in kilometers per hour (km/h).

Answers

The speed of the bumblebee in kilometers per hour (km/h) is 55.08 Km/h

Conversion scale

1 m/s = 3.6 Km/h

Data obtained from the question

The following data were obtained from the question:

Speed (in m/s) = 15.3 m/sSpeed (in Km/h) =?

How to convert 15.3 m/s to Km/h

We can convert 15.3 m/s to Km/h as illustrated below:

1 m/s = 3.6 Km/h

Therefore,

15.3 m/s = (15.3 m/s × 3.6 Km/h) / 1 m/s

15.3 m/s = 55.08 Km/h

Thus, 15.3 m/s is equivalent to 55.08 Km/h. Therefore, we can say that the speed of the bumblebee in Km/h is 55.08 Km/h

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Calculate the mass of nitrogen dissolved at room temperature in an 80.0-l home aquarium. assume a total pressure of 1.0 atm and a mole fraction for nitrogen of 0.78.

Answers

The mass of nitrogen is calculated as 1.092 grams

Calculation

According to Dalton's Law of partial pressure:

Pn2 = Ptotal Xn2

Were,

Pn2is the partial pressure of nitrogen

Ptotal is the Total pressure

Xn2is the mole fraction of nitrogen

Given:

Total pressure = 1.0 atm

Mole fraction of nitrogen = 0.78

Partial pressure of nitrogen:

Pn2= 1.0 x 0.78 atm

Partial pressure of nitrogen = 0.78 atm

According to Henry's law:

Solubility = Henry's constant (k)×Partial pressure

k = 6.26×10⁻⁴ mol/L-atm

Thus,

Solubility of nitrogen = 6.26×10⁻⁴ mol/L-atm×0.78 atm = 4.8828×10⁻⁴ mol/L

Given: Volume = 80.0 L

So, Moles of nitrogen gas dissolved:

Moles = Solubility (Concentration dissolved) ×Volume

Moles = 4.8828×10⁻⁴ mol/L×80.0 L = 0.0390 moles

Also,

moles = mass (m) / molar mass (M)

mass of nitrogen = moles x molar mass

Molar mass of nitrogen gas = 28 g/mol

So,

Mass of nitrogen gas dissolved = 0.0390 moles×28 g/mol = 1.092 grams

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Which situations are necessary components for malpractice to occur?

Answers

a. The risk of injury must be predictable.

b. A "breach of duty" is when a professional fails to uphold a level of care.

c. There must be a standard of care in place, and the practitioner must assume responsibility for the patient.

d. There must be a clear link between the treatment received and the harm.

What is malpractice?

Malpractice, commonly referred to as professional negligence, is defined as "an incident of carelessness or incompetence on the part of a professional" under tort law.

The following professionals might be the target of malpractice claims:

Medical professionals: If a doctor or other healthcare practitioner does not exercise the level of care and competence that a similarly situated professional in the same medical field would deliver under the circumstances, a medical malpractice claim may be made against them.

Lawyers: Failure to provide services with the amount of competence, care, and diligence that a reasonable lawyer would use in the same situation may be grounds for a legal malpractice claim.

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The potential difference between two conductors which are insulated from each other is measured in?

Answers

Answer: Volts.

Explanation: bc its right

4. Computer programmers in the 1970s thought 8 kilobytes was a lot of memory and the
computers fit the space of about 10 textbooks. Some cell phones today can store 128
Gigabytes. How many 1970 computers would it take to match the memory of a cell
phone today?

Answers

Answer:

1.28E11 / 8.0E3 = 1.60E7 computers  (16,000,000 computers)

The average rate of disappearance of i - between 1200.0 s and 1600.0 s is __________ m/s.

Answers

The average rate of disappearance of i - between 1200.0s and 1600.0s

is 2.0 × 10⁻⁵ m/s.

What is the formula to calculate the average rate?

To determine the slope of a graphed function, use the average rate of change formula. Divide the change in y-values by the change in x-values to determine the average rate of change.

The rate of disappearance for reactants is a positive (+) value. Because products are being made rather than disappearing, their rate of disappearance (-) is negative.

The average rate of reaction = Change in concentration

Time rate ( r ) = Δx Δt.

Sign of average rate of reaction: The average rate falls as the rate of reactant concentration increases.

There will be a bad response. The average rate of reaction will be positive as the rate of product concentration rises.

The average rate of disappearance of i - between 1200.0s and 1600.0s

is 2.0 × 10⁻⁵ m/s.

Therefore, the correct answer is option C) 2.0 × 10⁻⁵

The complete question is:

The peroxydisulfate ion (S₂O₈²⁻) reacts with the iodide ion in an aqueous solution via the reaction:

S₂O₈²⁻ (aq) + 3I⁻ → 2SO₄ (aq) + I₃⁻ (aq)

An aqueous solution containing 0.050 M of S₂O₈²⁻ ion and 0.072 M of I⁻ is prepared, and the progress of the reaction is followed by measuring [I⁻]. The data obtained are given in the table below.

Time (s) 0.000 - 400.0 - 800.0 - 1200.0 - 1600.0

[I⁻] (M) 0.072 - 0.057 - 0.046 - 0.037 - 0.029

The average rate of disappearance of I⁻ between 1200.0 s and 1600.0 s is ________ M/s.

A) 1.8 × 10⁻⁵

B) 1.2 × 10⁻⁵

C) 2.0 × 10⁻⁵

D) 5.0 × 10⁴

E) 1.6 × 10⁻⁴

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I need help with this ASAP.. it was due today.. I'm not playing no games

Answers

Answer:

The answer is January. Your welcome

Explanation:

Find the work done by a force f=8i-6j 9k that moves an object from the point (0,10,8) to the point (6,12,20) along a straight line. the distance is measured in meters and the force in newtons.

Answers

Work done is 158 joule

Given that, the force of a moving object is,

F = (8i - 6j + 9k) N

The object is moving from point (0,10,8) to the point (6,12,20)

Now we can calculate the displacement by the formula,

dr = (x2-x2)i + (y2 - Y2)j + (z2 - z2)k

Put all the values from the given values.

dr = (6 - 0)x + (12 - 10)j + (20 - 8)k

dr = (6i-2j+12k) meters

Now, the work done can be calculated as,

W = F.dr

W = (8i - 6j + 9k).(6i-2j+12k)

W = 158 J

Hence, work done is 158 joule

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A brick falls to the ground. if the time for the collision of the brick and the ground is increased by a factor of 4, the force of the collision with the ground will change by a factor of:_______.

Answers

The force of collision with the ground will change by a factor of 4

The formula for momentum shows an inverse relationship between force and time, in other words, force varies inversely as time. Hence, if the time of collision between the brick and the ground is increased by a factor of four, the force of collision is with the ground changes by a factor of four. In this case, the resulting force reduces by a factor of four. Momentum is defined as the product of the mass of an object with the changes in the velocity of the same object per time.

F=m(v-u)/t

Where F= momentum

v= final velocity

u= initial velocity

t = time taken

The earth diameter is about 3 and 2 thirds times the diameter of the moon. what is the angular diameter of the earth seen by an observer on the moon?

We calculate the angular diameter of the Earth using the equation:

a=arctanD/d

where a is the angular diameter, D is the physical diameter of the Earth, and d is the distance from the Moon to the Earth.

The equatorial radius of the Earth is rE=6378.1km, the diameter is therefore

D=2×rE=12756.2.

   The mean distance to the Moon is d=384399km. This gives a (mean) angular diameter of a=1.90065°.

At Perigee the distance is d=362,600km. This gives an angular diameter of a=2.01482°

At Apogee the distance is d=405,400km. This gives an angular diameter of a=1.80226°

These Moon-Earth distances are as seen from the centre of the Moon. To calculate the diameter from the surface of the Moon, to subtract the position of the observer along the Moon-Earth axis.

If the observer is on the Moon's equator and the Earth is at zero-hour angle, the distance to the Earth needs to be subtracted by rM=1738.14km. Thus, we have;

 The mean distance to the Moon is d=384399−1738=382661km, giving an angular diameter of a=1.90928°.

At Perigee the distance is d=362600−1738=360862km. We have an angular diameter of a=2.02452°

At Apogee the distance is d=405400−1738=403662km. We have an angular diameter of a=1.81001°

The angular diameter of the Earth from the surface of the Moon is, therefore, between a=1.80226° (at apogee and the Earth is near the horizon) and a=2.02452° (at perigee and for an observer at the equator and when the Earth is at maximum altitude on the meridian).

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If the work input of a machine is 30 joules,what would be it's efficiency when the output is 25 joules?

Answers

The efficiency of the machine is 83.3% when the output is 25 joules.

What is efficiency?

This can be defined as the ratio of the work output to the work input of a machine, expressed in percentage.

To calculate the efficiency of the machine we use the formula below.

Formula:

• E (%) = (Wo/Wi)100........... {Eq1}

Where:

• E (%) = Efficiency of the machine

Wo = Work output

Wi = Work input.

From the question,

Given:

Wo = 25 Joules

Wi = 30 Joules

Substitute these values into equation 1

We have,

• E (%) = (25/30)100

• E (%) = 83.3%

Hence, the efficiency of the machine is 83.3%.

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What type of boundary is depicted in the image below?
a.
transform
b.
collisional
C.
convergent
d.
divergent

Answers

I think it’s C or D But im not sure

A point on a standing wave that is always stationary is a(n) _____. antinode maximum minimum node

Answers

A point on a standing wave that is always stationary is an antinode.

What is antinode?

An antinode is the location where constructive interference of the incoming and reflected waves creates the maximum amplitude of the wave.

Antinodes are points on a stationary wave that oscillate with maximum amplitude.

Nodes are points of zero amplitude and appear to be fixed.

Thus, a point on a standing wave that is always stationary is an antinode.

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A jogger travels a route that has two parts. the first is a displacement a of 2.95 km due south, and the second involves a displacement b that points due east. the resultant displacement a + b has a magnitude of 4.45 km. (a) what is the magnitude of b, and (b) what is the direction of a + b as a positive angle relative to due south? suppose that a - b had a magnitude of 4.45 km. (c) what then would be the magnitude of b, and (d) what is the direction of a - b relative to due south?

Answers

(a) The magnitude of →B is 2.43 km,

(b) The angle relative to due south is 56.7o in anti-clockwise direction.

© The magnitude of the →A−→B displacement is |→A−→B|=4.45 km

(d) The angle relative to due south is 326.7o in counterclockwise direction

326.7o

If there is a given vector →A then its opposite vector will be −→A

If the vector →A makes an angle θ above the positive x axis then the vector −→A will make the same angle below the negative x axis.

Given that:  

The first displacement vector is →A=−2.95 ^j km

The second displacement vector is →B=B^i

The magnitude of the resultant displacement is |→A+→B|=4.45 km

Let this resultant makes an angle θ above the positive x axis.

The resultant of the given vectors is,

→A+→B=−2.95 ^j km + B ^i (4.45 cos θ ^i+4.45 sin θ ^j) km

=−2.95 ^j km + B ^i

By comparing both sides, we get

(4.45 sin θ ^j) km

=−2.95 ^j km

⟹θ=−56.7∘

or 90∘−56.7∘= 33.3∘ with south.

and (4.45 cosθ ^i) km

=B ^i(4.45 cos (−33.3∘) ^i) km

=B ^i

B=2.43 km

The magnitude of →B

is 2.43 km

b.) The angle relative to due south is 56.7o in anti-clockwise direction.

The magnitude of the →A−→B

displacement is |→A−→B|=4.45 km

Let this resultant makes an angle αabove the positive x axis.

c.) The difference of the given vectors is,

→A−→B=−2.95 ^j km−B ^i(4.45 cosα ^i+4.45 sinα ^j) km

=−2.95 ^j km−B ^i

By comparing both sides, we get

(1.77 sinα ^j) km

=−1.32 ^j km

α=−56.7o

or 270∘+56.7∘=326.7o

with south.

and (4.45 cosα ^i) km

=−B ^i(4.45 cos(−56.7∘) ^i) km

=−B ^i

B=−2.43 km

The magnitude of →B

Is 2.43km

(d) Hence, the angle relative to due south is 326.7o in counterclockwise direction

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