nuclear decay occurs according to first-order kinetics. scandium-43 decays with a rate constant of 0.178 days–1. after 15.0 days, a sample has a mass of 1.73 g. what was the original mass of the sample?

The intensity is 0.294*103 W/[tex]m^{2}[/tex].

The pace at which light disperses over a body of a specific region some way from a source is referred to as intensity. The intensity changes depending on the source's power and distance from it.

Occasionally, the adjective "intensity" is associated with fury, fire, and violence. It is used to provide a description of a flame's or even a love affair's intensity. For instance, the bond between Bogart and Bergman in Casablanca was very strong.

Briefing:

Intensity I = energy/(area*time)

                      = power/area

                      =0.75*10-3 W/(π/4*1.8*1.810-6 m2)

                      = 0.294*103 W/[tex]m^{2}[/tex].

Therefore, the intensity is 0.294*103 W/[tex]m^{2}[/tex].

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Throughout this period of time, the ball's average acceleration was 1.46*104m/s2.

Acceleration refers to the amount of change in a moving object's speed and direction over time. When something moves faster or slower, it is considered to be accelerating. Motion within a single circle speeds despite the fact that velocity is constant since the variable is always moving.

Speeding bullet, non-uniform energy density, and uniform acceleration are the three primary categories of rapid motion. Uniform acceleration describes a motion in which a object moves in some kind of a straight path while accelerating gradually over time.

Vi = 27.5m/s

Vf = 21m/s

Vf = Vi + at

a= Δt/Δv

a= 21m/s-(-27.5m/s)/3.30*10⁻³

a = 1.46*10⁴m/s²

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The speed of the car when it is half –way down the hill is 7m/s.

This is another illustration of energy conservation. Set the potential energy at the top to equal the kinetic energy at the bottom, then solve for height h and then  speed using the same total energy at h/2.

Top:

mgh = (1/2)mv2

hear m=mass

        h=Hight

        v= speed

gh = v2/2

h = v2/(2g)

= 102/[2(9.8)] m

= 5.1 m

Half way down:

u = speed

g(h/2) = u2/2

u = √[2g(h/2)]

= √(gh)

= √[(9.8)(5)] m/s

= 7.0 m/s

What is Kinetic energy?

the energy that an object produces as a result of its motion. There is unquestionably a need to apply particular forces when an object is prepared to accelerate. Applying force requires work, and once the job is finished, energy is transmitted to the object, causing it to move with a constant speed.

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Answer:

large

Explanation:

A mixture can be classified as a solution, a suspension, or a colloid based on the size of its large particles.

Hope it helps!

Astronomers can learn to simulate the galaxy's collisions on a large computer and watch what the simulation will predict.

A galaxy can be described as a system of stars, interstellar gas, dust, and dark matter, bound together by gravity. Galaxies from 100 million stars range in size from dwarf to million stars to the largest galaxies known as supergiants.

Most of the mass in a galaxy is in the form of dark matter, with only a few percentages of that mass visible as stars and nebulae. Supermassive black holes are a common characteristic at the centers of galaxies.

Galaxies can be categorized according to their visual morphology as elliptical, spiral, or irregular. The Milky Way's central black hole or Sagittarius A* has a mass 4 million times greater than the Sun.

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If the plane is flying horizontally and suddenly pulls upward, the nose of the plane tends to move upwards as the tail moves downwards.

A plane (formally an airplane) is a fixed-wing aircraft that is propelled forward by the thrust of a jet engine, propeller, or rocket engine.

All flight controls use the same basic lift principles as wings. When the pilot moves the controls, they produce lift of nose either up or down.

When the pilot pulls on the control column, the elevator moves up. This creates a wing-like curve on the surface that pulls the tail down. By moving the tail down, the nose of the aircraft rises.

When the pilot pushes forward on the controls, the elevator points down. The opposite happens and there is a lift that pulls the tail up. Pulling the tail up causes the nose of the plane to drop down.

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Increased availability of nutrients due to changes in soil composition leads to the emergence of new leaves, which boosts diversity.

The variety of species found in an ecosystem is known as its biodiversity. The evolution of organisms following a catastrophe that wipes out an environment is known as ecological succession. Ecological succession boosts biodiversity by expanding the variety of species that exist in a region.

Site characteristics, the kind of events that start succession, interactions between the species present, and more stochastic elements, such the availability of propagules or the weather at the time of disturbance, can all have an impact on the course of successional change.

Ecological succession is the process by which a region's species and habitat mix changes over time. Until a "climax community," such as a mature forest, is reached or until a disruption, such as a fire, occurs, these communities gradually replace one another.

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Time t is required for the capacitor  to gain one-half of its full equilibrium charge is 5.54 sec.

An electrical circuit consisting of passive components like resistors and capacitors, driven by current source or the voltage source is called resistor-capacitor circuit. The capacitor stores energy and resistor that is connected to the circuit controls the rate of charging or discharging.

Given,  τ is 8 and q is charge

As we know, q= qo (1−e ^−t/τ )

1/2= 1- e^-t/8

0.5= e^-t/8

t/8 = -ln 0.5

t= 5.54 sec

Time t is required for the capacitor  to gain one-half of its full equilibrium charge is 5.54 sec.

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Inform him that he should be more cautious because his work environment could have resulted in an accident. Inform him that you have cleaned up and that he owes you a favour.

The setting, social features, and physical conditions in which you perform your job are referred to as your work environment. These factors can have an impact on employee happiness, workplace relationships, collaboration, efficiency, and health.

A workplace culture is the set of shared values, belief systems, attitudes, and assumptions that employees share. Individual upbringing, as well as social and cultural context, influence this.

Taking care of the workplace environment boosts productivity, aids in talent retention, and, most importantly, is beneficial to the company's overall mental health. No job is perfect, not even those with an amazing office, a high salary, or entirely vocational tasks.

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Answer:

–5

Explanation:

u = 30m/s , v = 0(comes to a stop) , t = 6s, a = ?

a = v – u/t

a = 0 – 30/6

a = –30/6

a = –5

A car is moving at 30.0 m/s, east in a straight line approaching the red traffic light as shown. The time it takes for the car to stop is 0.6 seconds. The acceleration of the car is -5 m/s.

Speed is defined as the pace at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined.

Given

u = 30m/s ,

v = 0(comes to a stop) ,

t = 6s

To calculate acceleration we use formula

a = v – u/t

a = 0 – 30/6

a = –30/6

a = –5 m/s

Thus, a car is moving at 30.0 m/s, east in a straight line approaching the red traffic light as shown. The time it takes for the car to stop is 0.6 seconds. The acceleration of the car is -5 m/s.

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231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s⁻¹.

Half-Life: It is the amount of time it takes for half of a Radioactive particular sample to react particular quantity requires to reduce its initial value to half. That means the time taken by the radioactive substance or isotopes to decay half.

Half-Life Formula :t₁/₂ = 0.693/λ

Where as t1/2 is Half-Life of a radioactive substance

λ= decay constant  

We have λ=0.003s⁻¹ substitute in the formula

t1/2=[tex]\frac{0.693}{0.003}[/tex] = 231.

Hence 231 years is the half-life of a radioactive substance whose disintegration constant happens to be 0.003s¹.

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The maximum angle of climb for a turbojet powered aircraft is 8.97°.

Let us consider the velocity is steady.

T is thrust, W is weight, L for lift force, D for drag and θ is angle of climb

From the given information, we can write the below equations,

T = D + W sinθ -----(1)

L = W cosθ -----(2)

Given that, L/D = 10.5

D = L/10.5 -----(3)

Placing (3) in (1), we have

T = L/10.5 + W sinθ

T = (W cosθ)/10.5 + W sinθ

cosθ + 10.5 sinθ = T/W * 10.5

cosθ + 10.5 sinθ = (2000/8000) * 10.5

cosθ + 10.5 sinθ = 2.625

Solving the above equation, we get θ = 8.97°

Thus, the maximum angle of climb is 8.97°.

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The acceleration of the racquetball during the collision is found to be 1330m/s².

According to the second law of motion proposed by Newton the force on the body is equal to the change in momentum per unit time of the body.

So, we can write,

Ma = M∆V/t

Where,

M is the mass of the body is the,

a acceleration of the body,

∆V is the change in speed of the body after the collision,

t is the time taken during the collision.

It is given to us that the racquetball strikes the wall with a speed of 30m/s and it rebounds with the speed of 26 m/s the collision time is 20 milli seconds.

Putting the values,

a = 30-(-26)/0.02

a = 1330m/s².

So, the acceleration of the racquetball is 1330m/s².

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The impulse of the 10kg object is 15Ns.

Impulse is the integral of force over time. The impulse of an object in physics is a term that is used to describe or quantify the effect of force acting over time to change the momentum of an object.

It is represented by the symbol J and usually expressed in Newton-seconds or kg m/s.

According to this question, an external force of 5N is applied to a 10kg object over a time of 3 s. The impulse can be calculated as follows:

Impulse = 5N × 3s = 15Ns

Therefore, 15Ns is the impulse of the object.

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According to conservation of energy, the energy of interacting bodies in a closed system remains constant. The total energy of an isolated system remains constant; it is said to be conserved over a period of time.

Elastic energy is the mechanical implicit energy stored in the configuration of a material or physical system as it's subjected to elastic distortion by work performed upon it. Elastic energy occurs when objects are impermanently compressed, stretched or generally misshaped in any manner.

The mechanical energy is never lost forever , rather it gets converted to thermal energy because of the friction .

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The answer for the magnitude of the sphere's acceleration (in m/s²) due to the light is 4.44×10⁻⁹ m/s²

Newton's second law must be applied in order to determine the acceleration.

F = m×a and a = F/m.

We use the defined pressure and the radiation pressure for an absorbent surface to determine the force.

P=I/c absorbent surface

P = F / A

F / A = I / c

F = I A / c

A circle's total area is

     A = π×r²

We swap out

F = I π r² / c

Let's compute

F = 8.0×10⁻³ π (1.0×10⁻⁶)²/3×10⁸

F = 8.375×10⁻²³ N

To measure Density

     ρ = m / V

     m = ρ V

     m = ρ (4/3 π r³)

     m = 4500 (4/3 π (1×10⁻⁶)³)

     m = 1,885×10⁻¹⁴ kg

Now let's determine the acceleration.

    a = 8.375×10⁻²³ / 1.885×10⁻¹⁴

    a = 4.44×10⁻⁹ m/s² absorbent surface

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The first bright diffraction fringe is 13.0 m away from the strong central maximum if the screen is 13.0 m away.

Calculate the wavelength of light.

The wavelength can be calculated using the formula, λ = d/n, where d is the distance between the slits (d = 0.050 mm) and n is the order of the diffraction fringe (n = 1).

Therefore, λ = 0.050 mm/1 = 0.050 mm.

Calculate the distance of the first bright diffraction fringe.

The distance of the first bright diffraction fringe can be calculated using the formula, d = λD/d, where λ is the wavelength of light, D is the distance between the screen and the slits (D = 13.0 m) and d is the distance between the slits (d = 0.050 mm).

Therefore, d = (0.050 mm)(13.0 m)/0.050 mm = 13.0 m.

Therefore, the first bright diffraction fringe is 13.0 m away from the strong central maximum if the screen is 13.0 m away.

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Thermogenesis has been studied the plants in the genus arum, including skunk cabbage and the corpse flower. In these plants, these hypotheses have been provided to explain the reason behind thermogenesis

Thermogenesis, which takes place in specialised tissues such brown adipose tissue and skeletal muscle, is described as the disposal of energy through the generation of heat.

All metabolic activities involved in keeping the organism in a live condition require mandatory thermogenesis, which takes place in all organs. It also includes the energy used when food is consumed, digested, and processed (thermic effect of food, or TEF).

Thus, the reason behind thermogenesis are:

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Answer:

8360N

Explanation:

F = ma

= 2200kg × 3.8 m/s²

= 8360 N

If the primary consumers have 3600 joules of energy, the tertiary consumers receive 36 joules energy.

The ten percent law was proposed by Lindemann (1942) to explain how energy moves from one trophic level to the next. The law states that only around 10% of the organic substance that is transferred from one trophic level to the next of food is stored as flesh.

The rest is either lost in the transfer process or destroyed during breathing. Only 10% of the energy used by plants for primary production can be stored as net production that is available to herbivores. 10% of the energy in the food gets fixed into animal flesh when plants are eaten by animals, making it available for the next trophic level (carnivores). Only around 10% of the animal's energy is stored in its meat for the higher level when it is eaten by a predator.

So,  If the primary consumers have 3600 joules of energy, the  tertiary consumers receive 3600×10%×10% joules = 36 joules of energy.

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Squids and octopuses forcefully expel water through the siphon after ingesting it, propelling themselves through the water. Third Law of Newton.

His third law asserts that there is an opposite and an equal response in nature for every action (force). When an object A pulls on an object B, the opposite force is applied to the first object by object B. Alternatively said, interactions lead to forces.

There are numerous real-world applications of Newton's third motion law. For instance, when you leap, the earth exerts an equal and opposing reaction force that propels you into to the air. This is because when you apply a force to it with your legs, it responds in kind. Rockets and other projectiles are designed using Newton's third law by engineers.

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a guitar string is fixed at both ends. if you tighten it to increase its tension the frequencies of its vibrational modes will increase but its wavelengths will not be affected.

Stretching a string between two points, as in a stringed instrument, will cause tension on the string. Tension is the degree of stretching that is applied to the string. As the string is tightened, the frequency rises; as the string is loosened, the frequency falls. Strings are tightened or loosened by string musicians to change the pitches of their instruments.

We are aware that a tight string's frequency is determined by

v=√(T/μ)

where c is the frequency of sound wave T is tension and μ is mass per unit length

and velocity is provided by

v=νλ

As  increases v also increase ν but wavelength  remain same because ends of string are fixed.

your question is incomplete but most probably the full question was

Guitar string is fixed at both ends. If you tighten it to increase its tension (explain your answer):

a) the frequencies of its vibrational modes will increase but its wavelengths will not be affected.

b) both the frequency and the wavelength increase.

c) the wavelength increases but the frequency is not affected.

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The person needs to fly 600 hours to double his radiation.

Radiation is the  energy that is  comes from a source and it is  travels through the  space at the speed of light.

The passenger on to the  airplane gets an extra dose to the  of five microsieverts and per hour when his plane is flying across the Atlantic. We want to know when one  person should apply in the  double. His early radiation is to  good. The person gets a radiation dose due to the  background radiations. Background radiations are the  what this is about. There are no way to double they can do the irradiation. Does it  the person need a lot of time hours to fly? We can definitely find a number of the  hours by using the relation gee of total doors to  that need to be received extra divided by that power. The double layer radiation of the  was added to our Essen. Does the person need to receive an extra dose of the

extremely sure barrier from to a  the Cosmic Radiations as a person is receiving the  radiation at a rate of five of  Microsoft word barrier from Cosmic Radiations? We can be  write this as two equal to three giant standard of the  power minus three c. Your to  support and Seaworld will be deleted from to the   numerator and denominator of  disk. It will do that if we use it.

Thus ,The person needs to to  be  fly 600 hours to double his radiation.

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A covalent species' molecular structure is influenced by both the number of shared and unshared electron groups that link the atoms together because these electrons take up space as well.

The electrons in the atom's outermost shell are known as the valence electrons. The connection is that the quantity of valence electrons influences which other atoms an atom can form a bond with.

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initially, the car is traveling at 5.0 m/s.

so, we know acceleration for changing velocity is :

a = (v-v[tex]_{o}[/tex])/t ..........(i)

where v is the final velocity

v[tex]_{o}[/tex] is the initial velocity

t is the time taken to change velocity

Now, as per the question :

initial velocity, v[tex]_{o}[/tex]=5.0 m/s

final velocity, v =11 m/s

time taken, t = 3 s

putting the values in equation (i),

a = ( 11-5 )/3

a = 2 m/s²

Therefore, a, after 3 s, is  2 m/s².

A atom with a size of mm needs to perform work equal to 0.68 mc2 in order to acceleration it from rest to something like a velocity of 0.083 cc.

The rate about which direction of velocity change over time is referred to as acceleration. It is said to be escalating when it starts to move quickly or slowly.

The three main types of propelled motions are homogeneous acceleration, non-uniform kinetic energy, and average acceleration. The motion in which an item moves in a linear fashion while increasing in velocity at regular intervals is referred to as uniform acceleration.

as a mass particle's kinetic energy is,

KE = mc²( - 1 ) ............1

last KE = mc2 (1.68 - 1 )

final KE = 0.68mc²

W = final KE - initial KE

Work = 0.68 mc²

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centers of two slots of width an are separated by this amount. If the initial minimum of the diffraction peak of light of wavelength is where the fourth minimum of the interferometer is located, then the ratio a/d is equal to 2/7.

A waveform signal's wavelength is defined as the separation between two similar points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in metres (m), centimeters (cm), or millimeters (mm) (mm).

The wavelength is indeed the distance that separates two wave crests, while troughs have the same wavelength. The number of oscillations which pass over a specific place in a second is known as the frequency and is expressed in seconds of cycles (Hz) (Hertz).

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The statements that are true are

Angular momentum is the product of the rotational inertia and angular speed of a rotating object.

Let

From the law of conservation of angular momentum, we have that

initial angular momentum equals final angular momentum

So, I₁ + I₂ = I₃ + I₄

Ixω₀ + 0 = Ixω + Iyω

Ixω₀ = Ixω + Iyω

From the above, we see that

Since I₄ > I₂ = 0,

The angular momentum of disk Y immediately after the collision is greater than the angular momentum of disk Y immediately before the collision.

Also, since I₁ + I₂ = I₃ + I₄,

The angular momentum of the disk X-disk Y system immediately after the collision is equal to the angular momentum of the system immediately before the collision.

So, the statements that are true are

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Newton's first law of motion, often known as the law of inertia, is the law that most exemplifies this.

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