An object undergoes simple harmonic motion with time period of 2s and amplitude 0.5m. At time t=0 the displacement of the object is a maximum. What is the displacement of the object from the equilibrium position at time t=1.5s. Give your answer in meters, to one significant figure and without a unit

The semi - major axis is a = 2.43 A.U

The semi-major axis, a, is half of the longest diameter of an ellipse. Together with the semi-minor axis , b, and eccentricity, e, it forms a set of related values that completely describe the shape of an ellipse.

Now,

We have to find the semi major axis which we represents as "a".

Aphelion = a( 1+e ) = 1.5 AU.

Perihelion = a( 1−e )= 3.36 AU .

a = ( 1.5 + 3.36 )/2 AU = 2.43 AU .

e = 3.36 - 1.5 /2a

= 1.86 /2 ( 2.43 ) = 1.86 /4.86  

=0.3827.

The semi - major axis is a = 2.43 A.U

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As an object's mass increases, the gravitational force grows (also called the gravity force). The gravitational force rapidly decreases as the distance between masses increases.

Greater gravitational forces will be used to attract heavier objects because the gravitational force is directly proportional to the mass of both interacting objects. Therefore, the gravitational attraction between two objects grows as their respective masses do as well.

The masses of the two objects and their separation from one another will determine how much gravitational force there is between them. Each object's mass and gravitational force are inversely proportional. This implies that an object's gravitational force increases with mass.

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A typical water bed with a volume of 28 cubic feet has a weigh of: 1792 pounds

To solve this problem the we have to do the conversion of units with the given information.

Information about the problem:

By using the conversion factor we have:

m(water bed)= 28 ft³ * 64 pounds / 1ft³

m(water bed)= 1792 pounds

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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By using the torque, the shear stress is 2.36 lb/ft².

We need to know about torque to solve this problem. Torque is the rotational equivalent of linear force. It can be determined as

τ = F x r

where τ is torque, F is perpendicular force and r is radius.

Shear stress can be calculated by torque

P = F / A

P = τ / (π.r³)

where P is shear stress, r is the radius.

From the question above, the parameter given are

τ = 200 ft.lb

d = 6 ft

Find the radius

r = 1/2 . d

r = 3 ft

Find the shear stress

P = τ / (π.r³)

P = 200 / (π.3³)

P = 2.36 lb/ft²

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The resultant voltage is V=23.9mV.

Potential energy is a type of energy, and when differences are taken into account, the definition of potential is potential energy (or potential energy difference) per unit charge or V=E/Q. That matches your equation exactly. The amount of electrical charge transmitted by a potential difference of V volts. Quantity of electric charge (coulombs) x potential difference equals the energy transmitted in joules (volts) Q = electrical charge transported (C), V = p.d., E = energy transfer in joules (J), and V = E/Q. (V)

E=41mj

q=1.71c

The resultant voltage,

E = Q×V

[tex]V = (41\times10^{-3}) / 1.71[/tex]

V = 0.02397

V = 23.9mV

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The speed is the distance covered by an object at a particular time. The average cycling speed of Liam is 2.91667 meters/sec.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance Covered / Time taken

Given that Liam rides his bicycle to the near park that is 1.75 kilometers away from his home and it takes Liam 10 minutes to reach the park. Therefore, we can write,

Distance covered by Liam = 1.75 kilometers

                                            = 1.75 × 1000 meter

                                            = 1750 meters

Time taken by Liam = 10 minutes

                                 = 10 × 60 seconds

                                 = 600 seconds

Now, Liam's average cycling speed can be written as,

Liam's average cycling speed

 = Distance covered by Liam/Time taken by Liam

 = 1750 meters / 600 seconds

 = 2.91667 meters/seconds

Hence, the average cycling speed of Liam is 2.91667 meters/sec.

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The wavelength of the line corresponding to n=n= 4 in the Balmer series is 486 nm .

A periodic wave's wavelength is its spatial period, or the length over which its shape repeats. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.

This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm). The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction.

Expression for the Balmer series to discover the wavelength of the spectral line is as follows:

1 / λ = R [tex](1/2^{2}-1/n^{2} )[/tex]

Where λ stands for the wavelength, R stands for the Rydberg constant, and n is the integral value (4 here → the Fourth level)

Substitute 1.097 x 10⁷ m⁻¹ for R and 4 for n in the above equation

1 / λ = (1.097 x 10⁷ m⁻¹) [tex](1/2^{2}-1/4^{2} )[/tex]

 = 0.20568 x 10⁷ m⁻¹

λ = 4.86 x 10⁻⁷ m

since 1 m = 10⁹ nm

λ = 486 nm

Hence, The wavelength of the line corresponding to n=n= 4 in the Balmer series is 486 nm .

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Answer:

Greater the acceleration, greater the force

Explanation:

because the speed of the ball will have more force

Answer: 4.5 mL

Explanation:

1000 mL=1 L

0.0045L * 1000 mL/1 L=

0.0045 * 1000/1=

0.0045 * 1000=4.5 mL

The average acceleration is a = 1.3158 m/s²

The average acceleration.

V₀ = 2.0 m/s,

V = 4.5 m/s,

t = 1.9 s,

a =?

a = V-V₀/t

a = 4.5 m/s - 2.0 m/s / 1.9 s

a = 2.5 m/s /1.9 s

a = 1.3158 m/s²

∴ The average acceleration is a = 1.3158 m/s²

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The temperature to increase from to 29.75℃.

When heat is transferred from your body by moving air, convection takes place. The air will rise if it absorbs your heat and is colder than the environment. Cooler air flows in to take its place and absorb more of your warmth as the warmed air rising around you increases. You feel colder as this air flows more quickly.

When absorbed by a substance, heat results  inter-particle bonds to weaken and break which result  to a change of state (solid to liquid for example). Heat causing a phase change is NOT sufficient to cause an increase in temperature

amount of heat absorbed ,

q = m* c* ΔT

specific heat of water is = 4.186J/g ⁰C

ΔT = 7.5⁰C

mass of water = 948.0g

there for,

q =  948.0g *  7.5⁰C * 4.186J/g ⁰C

q = 29.762 KJ

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Answer:

16.55 km

Explanation:

to find the displacement use the Pythagorean theorem to find the distance between the starting position and the ending position

15 becomes 225 when squared

7 is 49 when squared

225+49=274

sqrt of 274 is 16.55

The result of evaluating the following postfix expression 6 4 + * 3 10 +, the result of this postfix expression can be calculated as 13.

We want to find the value of the postfix expression:

6 4 + * 3 10 +

We will start from the left most operation symbol.

For each of the operation symbol, the two integers preceding the operation symbol are the symbols on which the specified operation needs to be performed. Then we have to replace the operational symbol with the two of the following integers as per the result of the operation.

Then we repeat for the left most operation symbol in the remaining string.

Thus, evaluating postfix,

6 4 + * 3 10 +

= 10 * 3 10 +

= 10 * 13

= 0 13

= 13

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The number of valence electrons in neutral atoms equals the atom's main group number. A periodic table column can be used to determine an element's main group number.

The position-time graph depicts the movement of an item across time. Time in seconds is traditionally represented on the x-axis, while object location in metres is plotted along the y-axis. The slope of the position-time graph offers vital information about the object's velocity.

Gravity causes objects in free fall to accelerate. As a result, the free fall motion position-time graph must be curved. This means that objects in free fall begin with a moderate velocity and gradually accelerate, as illustrated by the graph's steep downward curve.

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Answer:

V = Δ S / Δ t            speed of object where change in position is displacement

Since V is represented by the slope, a greater slope indicates a "greater speed"

A quasi-equilibrium process is a process during which a system never remains in equilibrium at all times is a - True statement

A quasi-equilibrium process is one in which a system is nearly in equilibrium at all times.

Numerous engineering procedures can roughly be described as quasi-equilibrium processes. When quasi-equilibrium processes are used instead of non-quasi-equilibrium processes, a device's work output is maximized and its work input is minimized.

An illustration of this is the quasi-static expansion of a mixture of hydrogen and oxygen gas, in which the system's volume changes so slowly that the pressure stays constant throughout the system at every instant of the process. A series of physical equilibrium states comprise this idealized process, which is characterized by infinite slowness.

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Varactors provide a tunable capacitance with the bias voltage across the varactor, a reverse biased diode, changing the capacitance of the diode. The applied bias voltage also changes the series resistance of the diode

The choke inductors provide a DC short and an RF opens

The resonator network is designed to be resonant at a frequency above the operating frequency. At the oscillation frequency, the resonator network must present an inductance to resonate with the capacitance of the active device in an oscillator. In addition, for oscillator stability, the effective inductance must have a particular derivative of admittance with respect to frequency.

The combination of the resonator and the active device forms an oscillator. The intersection of the active device and resonator loci selects the oscillation frequency of the oscillator. The oscillator presents a capacitance to the resonator and so the resonator must present an inductance to the active device

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The stored energy is [tex]3.83x10^{-6}[/tex] J.

Explanation:

Given that,

One side of square plates = 8.5 cm

Distance = 2.5 mm

Charge = 14 nC

We need to calculate the energy stored

The energy is stored by the electric field between two square plates is defined as, A abrupt release of collected energy, known as "stored energy," has the potential to result in severe harm or even death. Gravitational potential energy, pressurised gases and liquids, stored mechanical energy, and stored electrical energy are only a few examples of the many different types of stored energy.

4 types of stored energies are:

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Answer:

Metalloid

Explanation:

Hope this helps!

The corresponding frequency of a microwave radiation with a wavelength of 13.4mm is 2.34 x 10¹⁰hz.

Microwaves are electromagnetic radiations that fall between infrared radiation and radio waves in the electromagnetic spectrum. The frequency of microwaves range between 300Mhz to 300Ghz, and the wavelength ranges between 1mm to 30cm. Microwaves are used in communication and cooking.

Just like all electromagnetic waves, the wavelength of microwave is inversely proportional to its frequency, meaning that the longer the wavelength, the smaller the frequency. The relationship between wavelength, frequency and velocity can be expressed in this formular:

                   v = f x λ

Where:

Since we are told to look for frequency in the question, we would make f the subject of the formular:

                     f = v/λ

The velocity of all electromagnetic waves is constant, 3 x 10⁸m/s. Since the unit of velocity is in meters per second, the unit of the wavelength will also have to be in meters, hence, we the wavelength divide by 1000, giving us 0.0134, putting these values into the equation:

                      f = 3 x 10⁸m/s/0.0134m

                      f = 2.34 x 10¹⁰hz

Therefore, the corresponding frequency of a radiation with a wavelength of 13.4mm is 2.34 x 10¹⁰hz.

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For the expected output waveform from an ideal differentiator circuit having input waveform vin=1sin[(2)1000t] v, the expression can be stated as Vo(t) = -0.09424 cos(2π(1000)t)V.

A waveform is a typically graphic representation of a wave’s shape that describes its properties (such as frequency and amplitude).

Sinusoidal, triangular, and square waveform outputs are all simultaneously available from separate output terminals.

A waveform is only a graphic that aids in our comprehension of sound waves. They track the movement of one air molecule over time.

We can change a waveform’s amplitude to make it louder or quieter, and we can change a waveform’s frequency to change the pitch.

Herein,

Rf = 1.5k

C = 10 nF

Vin = 1sin(2π(1000)t)V

Vo(t) = -Rfc dvin(t)/dt

Vo(t) = -1.5 x 10^3 x 10 x 10^-9 d/dt (1sin(2π(1000)t))

Vo(t) = -15 x 10^-6 x 2π x 1000 [cos(2π(1000)t]

Vo(t) = -94.24 x 10^-3 cos(2π(1000)t)V

Vo(t) = -94.24cos(2π(1000)t) mV

or Vo(t) = -0.09424 cos(2π(1000)t)V

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When Diego is in the race, he would be using only aerobic exercise.

The term aerobic exercise has to do with the type of exercise that require brisk repetitive movements in which the consumption of oxygen is elevated during the process.

A person tends to breath faster and more deeply when carrying out an aerobic exercise and the rapid movements is the reason why there is an intense demand for oxygen in the process.

As such, when Diego is in the race, he would be using aerobic exercise.

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The final speed of the train after 42 minutes is 90 km/h

We are provided with acceleration, initial speed and time after which final speed is to be found

Let us consider the motion of the train to be in one dimension

Then, formulas of one dimension can be applied to find the final speed.

Let the initial speed of the train be 'u'

Let the final speed of the train be 'v'

Let the acceleration due to gravity be 'a'

Let the time take to reach the speed 'v' be t

Now, as per the data given,

u=55km/h

acceleration due to gravity= 50km/h^2

Time taken, t= 42 minutes

Now as we can see that all units are in km/h, time must also be in hour

As we know that 1 hour= 60 minutes

therefore, 42 minutes= 42/60=7/10= 0.7 hour

Now using the formula v = u +at

v =  u +at

v = 55 + 50 x 0.7

v = 55 +35 = 90 km/hr

Hence, the final speed of the train after 42 minutes is 90 km/h

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Answer:

Pulse & Heart Rate. Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats

Explanation:

Answer:

A metamorphic rock

Explanation:

Social media is the example of an external communication.

The procedures in charge of communicating with individuals and groups outside of your organization are known as external communications. Customers, companies, suppliers, partners, investors, government organizations, and law enforcement are a few of these.

Email, brochures, newsletters, posters, advertisements, and other types of multi-media marketing are common examples of external communication that are used to entice clients, partners, and suppliers to engage in profitable business dealings.

External communications' main objective is to convey to the public an important message about the organization's efforts and level of excellence. An aspect of communication that organizations cannot directly control is informal external communication.

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The velocity function is v = -0.0676cos(2.16 . x - 3.52 . t)

We need to know about vectors function to solve this problem. The velocity is depend on position vector and acceleration. It can be written as

v = dy / dt

where v is velocity, dy is displacement and dt is time interval.

From the question above, we know that

y =  0.0192sin(kx - ωt)

k = 2.16 /m

ω = 3.52 rad/s

Substitute k and ω to y

y =  0.0192sin(kx - ωt)

y =  0.0192sin(2.16 . x - 3.52 . t)

Hence, the velocity is

v = dy / dt

v = d(0.0192sin(2.16 . x - 3.52 . t)) / dt

v = 0.0192 . (-3.52) . cos(2.16 . x - 3.52 . t)

v = -0.0676cos(2.16 . x - 3.52 . t)

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When earth catches up to a slower-moving outer planet and passes it in its orbit, in the same way that a faster runner overtakes a slower runner in an outside lane, the outer planet exhibits retrograde motion.

Retrograde motion is the apparent change in movement of any planet in the sky. It is not real such that the planet doesn't make any movement physically in its orbit.

The planet just appears to be in a movement because the relative positions of that planet and our planet, Earth and how these two planets  move around the Sun.

Therefore, Retrograde motion is actually an illusion which is related to the movement of this Earth-based observer.

One familiar example occurs when an individual passes a car on a freeway, the car that passed appears to have moved backwards, relative to that individual.

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value of the activation energy (in kj/mol) Ea = 67.8 kJ/mol

k = Ae-Ea/RT

ln k = -Ea/RT + ln A

k = 0.20287

R = 8.314 J/mol-K = 0.008314 kJ/mol-K

T = 45.5ºC + 273 = 318.5K

A = 2.7x1010

Ea = ?

ln (0.20287) = [-Ea / (0.008314)(318.5)] + ln 2.7x1010

-1.596 = (-Ea / 2.648) + 24.02

-25.616 = -Ea / 2.648

Ea = 67.8 kJ/mol

A chemical reaction that has a reaction rate that is linearly dependent on the concentration of just one ingredient is known as a first-order reaction. In other terms, a first-order reaction is a chemical reaction in which only one of the reactants' concentrations is changed and the rate of the reaction changes as a result

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