Consider a radioactive sample with a half-life of one week. How much of the original sample will be left at the end of the second week? The third week? The fourth week?

0.7 sec is total time in air .

What is acceleration due to gravity ?

Gravitational acceleration is the acceleration experienced by an object due to gravity. Its SI unit is m/s2. It is vector magnitude because it has both magnitude and direction.  The standard value of g on the surface of the earth at 0m above sea level is 9.8m/s2. Suppose an object [test mass (m)] is moved from a height "h" above the ground [source mass (M)], and as it approaches the ground it begins to move downwards, increasing its velocity. We know that the velocity of an object changes only under the action of a force. In this case the force is provided by gravity.

Under the action of gravity, the object begins to accelerate towards the center of the earth. The center of the Earth is at a distance "r" from the test mass. Then ma = GMm/r2 (applies the equivalence principle)

⇒ a = GM/r2 . . . . . . (1)

The above acceleration is due to the earth's gravitational pull, so we call it the gravitational acceleration and it does not depend on the test mass. The value near the ground is 9.8 ms-2. Therefore the acceleration due to gravity (g) is given by = GM/r2.

0.6m is the distance traveled vertically upwards

and as the acceleration is uniform we have 0.6=0.5*9.8*t*t

hence we have t, the time spent moving upwards is

0.35sec

the double of it 0.7 sec is total time in air

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The objective of a heat engine is to transform heat into work. So, correct option is A.

A heat engine is a device that converts thermal energy (heat) into mechanical work. It operates by absorbing heat from a hot source, such as a furnace, and converting it into useful mechanical energy, such as rotating a shaft or driving a machine. The efficiency of a heat engine is determined by the difference between the temperature of the hot source and the temperature of the cooled working fluid (usually air or water). Examples of heat engines include internal combustion engines in cars, steam turbines in power plants, and Stirling engines in heat pumps and refrigeration systems.

The objective of a heat engine is to transform heat into work. A heat engine is a device that uses heat energy from a high-temperature source to perform mechanical work by using a thermodynamic cycle. The basic idea behind a heat engine is to extract thermal energy from a high-temperature source, convert some of this energy into useful mechanical work, and then reject the remaining heat to a lower-temperature sink. The efficiency of a heat engine is determined by the amount of thermal energy that is converted into useful work and the amount of heat that is rejected to the lower-temperature sink.

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Simple harmonic motion a loaded spring undergoes simple harmonic motion whose period is proportional to the mass and inversely proportional to the spring constant.

Simple harmonic motion is the periodic motion of an object along a straight line, such that the acceleration of the object is directed towards a fixed point on that line and is proportional to its distance from that point.

Example of a simple harmonic motion is the motion of a loaded spiral spring.

The restoring force on the spring is directly proportional to the extension of the spring and the spring constant.

The period of motion, T when a mass, m is attached to a spring with  spring constant k,is given as:

T = 2π√(m/k)

Therefore, a loaded spring undergoes simple harmonic motion whose period is proportional to the mass and inversely proportional to the spring constant.

Periodic motion, in physics, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave

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The coefficient of static friction for the given inclined plane is 0.8

coefficient of static friction = μ = F/N

μ = 25 cos 37 / 25

μ cos 37

μ = 0.8

Hence the coefficient of static friction for the given inclined plane is 0.8.

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Directly Proportional

Temperature is directly proportional to heat. The more the heat more the temperature there are a number of scales like degree Celsius,  Fahrenheit, and Kalvin (SI Unit) of temperature which is calculated by the mercury.

As on high heat, mercury expands and on its expansion, we measure on a scale which simply means more the heat more the expansion, and more the temperature on the scale, and wise- versa.

And if we talk about thermal energy(Q) is also directly proportional to a change in temperature (negative when temperature decreases and increases on increasing the temperature). where Q = mc*(change in temperature). where m for the mass, and C is the constant for the type of substance we are taking to transfer the heat.

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The Complete Question is -

How Heat is related to temperature and thermal energy?

The ratio of the radii rB/rA is 1/3

What does the word "resistance" mean?

The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms.

The collisions between the wire's atoms and electrons result in resistance. The length has a direct relationship to the resistance. The cross-sectional area of the wire is, however, inversely proportional to the square of the wire's radius. This indicates that the relationship between the wire's resistance and radius is inverse. As a result, the wire's resistance drops as the radius rises.

Resistance = (density *length) /area

The density and length of the material is same in both the cases

Area = πr2

So, R1/R2 is (r2/r1)^2

r2/r1 will be square root of R1/R2

R2 is 9 times R1

So, r2/r1 will be 1/3

i.e. rB/rA is 1/3 .

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The equation for r can be written as, r = k e²/ m( n h/ 2π r)².

The Bohr model shows atom as a central nucleus containing protons and neutrons with the electrons in circular orbitals at specific distances from  nucleus. Angular momentum of an electron by Bohr is given by m v r or n h/2π ( v is the velocity, n is orbit in which electron is revolving, m is mass of electron, and r is  radius of nth orbit).

Given, m v r= n h/2π

So, v= n h/ 2π m r

substitute this value of v in mv²/r= k e²/r²(given)

So, r= m( n h/ 2π m r)/r = k e²/r²

r = k e²/ m( n h/ 2π r)²

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Option D is correct choice. Critical value for a left-tailed test with α = 0.05 and n = 48 is -1.645

Note: Considering a z test here as the sample size n is greater than 30.

The values that show the boundary of the critical region are referred to as critical values.

Critical areas, sometimes referred to as rejection regions, are the whole range of values that show you reject the null hypothesis.

The critical zone, or area of the "tails" of the distribution, is the area that is covered by values that do not support the default assumption.

Z-scores for typical confidence intervals and alpha values are different.

Using a left-tailed test and an alpha of 0.05, 95% of the area under the curve would be outside the critical area.

The Z-score for 0.95 is roughly -1.65 (-1.645)

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The final velocity of the other coin will be 10.33 cm/s and the amount of kinetic energy transferred to the 15.0 g will be 0.00088 J.

Momentum is the result of a particle's mass and velocity. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum. Check out Newton's laws of motion.

Mass of first coin, m = 5.5g = 0.0055kg

Mass of second coin, M = 16.5 = 0.0165kg

Initial velocity of first coin, u = 21 cm/s

Final velocity of first coin, v = -10cm/s (because it's in the opposite direction of the initial motion)

Initial velocity of second coin, U = 0 cm/s

Using principle of conservation of momentum:

Total initial momentum = Total final momentum

m*u + M*U = m*v + M*V

U = 0

=> m*u + 0 = m*v + M*V

m*u - m*v = M*V

V = m(u - V) / M

V = 0.0055(21 - (-10)) / 0.0165

V = 0.3333 * 31 = 10.33 cm/s

Kinetic energy is given as:

KE = 0.5 * M * V²

V = 10.33 cm/s = 0.1033 m/s

KE = 0.5 * 0.0165 * 0.1033²

KE = 0.00088 J

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The velocity of the object is 3 m/s.

The velocity of an object is the change in the position of the object with time.

The slope of position time graph is known as velocity.

Mathematically, the formula for the velocity of an object is given as;

v = Δx / Δt

v = ( x₂ - x₁ ) / ( t₂ - t₁ )

where;

The velocity of the object is calculated as follows;

v = ( 15 - 3 ) / ( 4 - 0 )

v = ( 12 m ) / ( 4 s )

v = 3 m/s

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Answer: The velocity of the object is 0.1 m/s.

Explanation:

i just did it.

Rounded to 2 decimal places, E = 0.64

The formula for margin of error (E) is E = s * c / sqrt(n), where c is the confidence level (as a decimal), n is the sample size, and s is the standard deviation.

So in this case, E = 2.6 * 0.99 / sqrt(16) = 2.6 * 0.99 / 4 = 0.6435

Margin of error (ME) is a measure of the uncertainty associated with a sample estimate of a population parameter. It is commonly used in opinion polls and other surveys to indicate the degree of accuracy of the results. ME is usually expressed as a percentage of the estimate and is calculated by dividing the standard error of the estimate by the sample estimate, and then multiplying by 100. It can be used along with a confidence interval to indicate the level of precision desired in the estimate. The smaller the margin of error, the more confident one can be that the sample estimate is close to the true population parameter.

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A reaction will be spontaneous if the change in Gibbs free energy is less than 0. So, the correct option is A.

The Gibbs free energy, sometimes referred to as the Gibbs function, Gibbs energy, or free enthalpy, is a thermodynamic potential that is used to determine the greatest amount of work that can be done in a particular thermodynamic system when the system's temperature and pressure are held constant. An abbreviation for Gibbs free energy is G.

Since it is a kind of energy as well, its value is frequently stated in Joules or Kilojoules. Gibbs free energy is outlined as the most work that can be accomplished using a closed thermodynamic system.

The equation is given as:

G = H - TS

Where,

G = Gibbs free energy

H = enthalpy

T = temperature

S = entropy

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Work done by the motor of London eye wheel is 5.67 x 10^4 J

For two reasons, dragging a load on wheels is much simpler than dragging it on the ground. Rotors lessen friction. The wheels dig in and rotate around strong rods called axles rather than just gliding over the surface.

I = mr2 = 1.9 x 10^6 x (67.5)2

            => 8.65 x 10^9

Work done => 1/2 x 8.65 x 10^9 x (3.62 x 10^-3)2

  => 5.67 x 10^4 J

Since the radian is a dimensionless quantity and the SI unit of angular velocity is radians per second, the SI units of angular velocity can be written as s1. The Greek letter omega (or, occasionally, ) is used to denote angular velocity.

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The components of the velocity vector of counterclockwise are:

vx = -12.6 m/s

vy = -16.3 m/s

What is counterclockwise?
Counterclockwise is the direction opposite to that of the rotation of a clock's hands. It is the opposite of clockwise, which is the direction of the rotation of a clock's hands. Counterclockwise movement or rotation is often abbreviated as CCW. In mathematics, counterclockwise is referred to as the positive rotational direction. In engineering, the direction of rotation of a motor or other device is usually indicated by the letters CW for clockwise and CCW for counterclockwise. It is also commonly referred to as the anti-clockwise direction. Counterclockwise motion is often used in mechanical systems to prevent the buildup of friction and wear on components. Additionally, this motion may be used to reduce the chance of clogs or jams in machines with moving components.

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Heat absorbed = 1.05 x 105 J.

Heat absorbed = (mass x specific heat x change in temperature) + (mass x latent heat of vaporization)

Heat absorbed = (0.2 kg x 4180 J/kg°C x (140.0°C - 60.0°C)) + (0.2 kg x 2.26 x 106 J/kg)

Heat absorbed = 59.7 x 104 J + 45.2 x 104 J

Heat absorbed = 1.05 x 105 J

What is vaporization?

Vaporization is the process of a liquid or solid changing into a vapor or gas. It occurs when enough energy is supplied to the molecule to overcome the attractive forces, allowing them to break away from the liquid or solid and form a gas. Vaporization can occur due to heating, pressure, or chemical reactions and can be used in many applications such as distillation and sterilization.

Therefore, Heat absorbed = 1.05 x 105 J.

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kepler's third law,

Semi-major cross (r) r³=t² =[tex]T^{\frac{2}{3} }[/tex]

The semi-major axis of short-period comet = [tex](111)\frac{2}{3} ^{}[/tex] = 23.10AU

The semi-major axis of short-period comet = [tex](701)^\frac{2}{3}[/tex] = 78.91AU.

Kepler's third regulation is valid due to the fact the sun is tons more huge than any of the planets and therefore Newton's correction is small. The information Kepler had gotten admission to were now not top-sufficient to reveal this small impact. Kepler posted his first two legal guidelines approximately planetary movement in 1609, having located them via reading the astronomical observations of Tycho Brahe. Kepler's 0.33 law become posted in 1619.

It turns out that the steady in Kepler's 0.33 regulation relies upon on the entire mass of the two our bodies worried. Kepler himself, analyzing the motion of the planets across the sun, always treated the 2-frame device of sun-plus-planet. Kepler's third law: the squares of the orbital intervals of the planets are directly proportional to the cubes of the semi-main axes of their orbits. Kepler's 0.33 regulation implies that the period for a planet to orbit the sun increases rapidly with the radius of its orbit.

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The Short-period comet's using kepler's Third law semi-major axis for 111 years is 23.10AU and for 701 years is 78.91 AU is the short-period comet's semi-major axis.

Cross (r) semi-major [tex]r^3[/tex]=[tex]t^2[/tex]

=> r = [tex]t^\frac{2}{3}[/tex]

so for 111 years is( [tex]111^\frac{2}{3}[/tex]) = 23.10 AU

for 701 years is ([tex]701^\frac{2}{3}[/tex]) = 78.91 AU

According to Kepler's Third Law, the planets' squared orbital periods and cubes of their semi-major axes are directly inversely related. According to Kepler's Third Law, a planet's period of orbiting the Sun grows exponentially with its orbital radius. It turns out that the constant of Kepler's Third Law is a function of the combined masses of the two bodies. When analysing the motion of the planets around the Sun, Kepler himself dealt exclusively with the Sun-plus-planet 2-body system.

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Potential energy is the energy that is stored in any object or system as a result of its position or component arrangement. The environment outside of the object or system, such as air or height, has no impact on it. In contrast, kinetic energy refers to the energy of moving particles within a system or an object.

Potential energy can take many different forms, including chemical, elastic, electrical (electromagnetic), gravitational, nuclear, and thermal energy, and can be found in systems of objects ranging from atoms to planets.

When an electric charge is infinitely removed from other charges, it is said to have zero potential.

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The impulses that colliding objects exert on each other are equal and opposite because the time for which they interact is equal for both objects.

When two bodies collide, Newton's Third Law ensures that the normal forces from the collision will always be equal and opposite.

This means that the impulses will be equal and opposite and will cancel out in our impulse-momentum equation when examining the system of equations.

The impulses that colliding objects exert on each other are equal and opposite Where Newton's third law of motion states that every action has its equal and opposite reaction.

This also describes that when an object applies force on a second object, the second object applies an equal and opposite force onto the first object

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The correct answer is  positive regulator

In the lactose operon of E. coli, the CRP-cAMP complex is a(n positive regulator of transcription.

What is Lactose ?

Lactose is a naturally occurring sugar found in milk and other dairy products like yoghurt and ice cream. It is created when two other sugars, glucose and galactose, combine.

The body converts lactose into these two sugars using an enzyme called lactase so that it may be digested. You might not be able to digest or absorb lactose effectively if your body doesn't produce enough lactase, which could result in lactose intolerance symptoms.

Sugars come in a wide variety of forms. Some are what are known as "simple" sugars, monosaccharides, which are single sugar units. Disaccharides, which are composed of connected pairs of monosaccharides, are another type of sugar.

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The net force acting on a moving object is calculated with the equation   F= ma, m is the mass and a is the acceleration. In this case we have to calculate acceleration at each stage.

Here we have a velocity-time graph. The acceleration is the slope of the velocity time graph. As there are three different slopes, we could calculate each accelerations differently.

From 0s to 3s the object is in constant acceleration.

 Acceleration, a = (v-u)/(t₂-t₁)

                           = (12-0)/(3-0) = 4m/s²

Force, F = ma = 2.7 × 4 = 10.8 N

        2.  At t = 4s

From the graph, we could observe that the object is in constant velocity. That means the object is in 0 acceleration. So net force acting will be 0

     3. At t = 7s

From the graph we could observe the object is in constant deceleration. Calculating the slope,

    Acceleration, a = (v-u)/(t₂-t₁)

                               = (0-12)/(8-6)

                               = -6m/s²

force, F = ma = 2.7× -6  = -16.2 N.

So the net force acting at t=1s is 10.8N, at t= 4s is 0N, at t= 7s is 16.2N.

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Answer:

11.5m/7.1s=1,619718309859155m/s

Explanation:

Distance devided per time. For km/h multiply it with 3.6

Rank of the capacitors are 6 > 4 > 1 > 3 > (2 = 5)

What is Capacitor?

A two-terminal electrical device known as a capacitor is capable of storing energy in the form of an electric charge. It is made up of two electrical wires that are spaced apart by a certain amount. Vacuum may be used to fill the space between the conductors, or a dielectric, an insulating substance, may be used instead

Pairs of opposing charges are held apart in capacitors to store energy. A parallel plate capacitor has the most basic design and is made up of two metal plates with a space in between them. However, many capacitor types are produced in a wide variety of shapes, sizes, lengths, girths, and materials.

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A 20.0 N force is exerted on the small piston of a hydraulic system. The cross-sectional area of the small piston is 0.0500 m2.

What is meant by Hydraulic ?

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When it emerges from the second lens, the beam seems to be parallel to the axis and wider than W1. A two lens system is incident on by a parallel laser beam of width w1, as shown below.

Every lens is focusing together. Pole The pole of a lens is the centre of its spherical refracting surface. the location where the lens's surface and primary axis converge. Vision Center The term "Optical Center" refers to the location on the primary axis that is in the middle of the lens. The transmissive optical device known as a lens employs refraction to focus or disperse a light beam. The only component of a basic lens is a single transparent piece (elements).

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Binding energy per nucleon is 7.48 MeV.

What is Binding Energy?

The minimal amount of energy needed to remove a particle from a system of particles is often referred to as binding energy. Or to put it another way, it's the energy that divides a system of particles into single units. In atomic physics, chemistry, condensed matter physics, and other fields, we primarily research binding energy. The separation energy is referred to as binding energy in nuclear physics.

Binding energy is required to separate the neutrons and protons, collectively known as the nucleons, from the other subatomic particles that make up atomic nuclei or the nucleus of an atom. Because each nucleus need net energy to be separated into each neutron and proton, the binding energy of nuclei has a positive value.

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364 is the correct answer .

What is acceleration due to gravity ?

Gravitational acceleration is the acceleration experienced by an object due to gravity. Its SI unit is m/s2. It is vector magnitude because it has both magnitude and direction.  The standard value of g on the surface of the earth at 0m above sea level is 9.8m/s2. Suppose an object [test mass (m)] is moved from a height "h" above the ground [source mass (M)], and as it approaches the ground it begins to move downwards, increasing its velocity. We know that the velocity of an object changes only under the action of a force. In this case the force is provided by gravity.

Under the action of gravity, the object begins to accelerate towards the center of the earth. The center of the Earth is at a distance "r" from the test mass. Then ma = GMm/r2 (applies the equivalence principle)

⇒ a = GM/r2 . . . . . . (1)

The above acceleration is due to the earth's gravitational pull, so we call it the gravitational acceleration and it does not depend on the test mass. The value near the ground is 9.8 ms-2. Therefore the acceleration due to gravity (g) is given by = GM/r2.

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Object A reaches the highest point along the curved incline, so it should be ranked first.

Object is a concept used in object-oriented programming (OOP) which refers to a self-contained entity that contains data and code to manipulate the data. It is an instance of a class that is defined by the programmer. Objects are used to represent real-world objects, such as a car, or to represent abstract concepts, such as a bank account. Objects are the basic building blocks of OOP and are used to create applications.

Object C is the second highest, and Object B is last. This ranking from largest to smallest can be visualized by lining them up from left to right, with Object A on the left, Object C in the middle, and Object B on the right.

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According to the question, the magnitude of the net force required to stop the car is 8400 N.

What is magnitude?
Magnitude is a term used to describe the size or intensity of something. It is typically used in physics and mathematics to describe the size of a physical quantity, such as a force or an angle. Magnitude can also be used to describe the magnitude of an event, such as an earthquake. In astronomy, magnitude is used to describe the brightness of a star or other celestial object. The magnitude of intensity is usually expressed in terms of the Richter scale or logarithmic scale. Magnitude can also be used to describe the power of an earthquake or the size of a storm. Magnitude is also used to describe the size or importance of a person, place, or event.

The magnitude of the net force required to stop the car is:

F = m × a

F = 1050 kg × (2 × (40.0 km/h) / (25.0 m))

F = 8400 N

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Answer: O 2.8V

Explanation: i did this before lol

Answer:

I really don't want to go out for a week and I deserve to be wit me she said that she would have been able even better then again this year moma and she was the one that was earlier than you and my parents are going through a tough time and it was broken down into the last time I was coming from but I see an feel a lot of hate

Explanation:

no exceptions