a 24.2-mw laser beam of diameter 1.97 mm is reflected at normal incidence by a perfectly reflecting mirror. calculate the radiation pressure on the mirror.

Only one civilization is in existence now. The human civilization that is present on the earth is the civilization that exists in this period of time. It can also exist in the coming future for several centuries.

Earth is the only planet where intelligent civilization can exist. Atmospheric conditions are also not so suitable for life to exist on planets other than earth. The other habitable planets in the galaxies have conditions that can help to persist life. The availability of water and oxygen on the planets gives a trace of a complete package of materials that makes life possible on other planets.

Some of the technological advancements such as building a spacecraft and placing a satellite in space are the areas of searching of life on other planets.

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When the core temperature rises, stars start burning helium to carbon. Hydrogen and helium are fused in a shell surrounding the core, raising the temperature.

The most prevalent method of generating energy in the cosmos is hydrogen fusion. The gravitational force is utilised to fuse hydrogen at the centres of our Sun and other stars, where it has a density more than 70 times greater than that of steel. Thus, all of the heat and light on earth comes from fusion. Helium is a chemical element with the atomic number 2 and the symbol He. The first member of the noble gas group in the periodic table, it is a colourless, odourless, tasteless, inert, monatomic gas that is not harmful.

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The weightlifter can exert a power of 1000 watts, for the given work done and time.

The quantity of energy moved or converted per unit of time is known as power. The watt, or one joule per second, is the unit of power in the International System of Units.  Power is a scalar quantity.

Only when a particular distance is traversed or when force is applied is work performed. No work is done if the force given to the object does not cause it to move.

Calculations:

Power (P) = work done/time taken

Work done = 2000N * 2m = 4000Nm

Time taken = 4 seconds

P= 4000Nm/4sec = 1000watts

So, the person can exert a power of 1000 watts.

Hence, the weightlifter can exert a power of 1000 watts, for the given work done and time.

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Wavelengths of the radio waves  between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 Khz is 194 m.

We can deduce three important relationships from the wave equation:

So the relation is : v = λf

where, v = speed of wavelength

            λ = wavelength

            f = frequency

Given, frequency (f) = 1540Khz = 1540000hz

           v = speed of light = [tex]3 * 10^{8} m/s[/tex]

Putting these values in above equation we get λ = 194m

So Wavelengths of the radio waves  between the transmitter and radio receiver if the woman is listening to an am radio station broadcasting at 1540 Khz is 194 m.

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V1f= -6.75 m/s (left),original elastic potential energy = 12.7575 J,The original energy is in the Spring,In bursting-apart process, The conservation of momentum is Holds.

(a) Mass of the first block, M

Mass of the second block, 3M

final speed of the second block, V2f =2.25 m/s

Before the cord burns, both masses are in rest oposition,

Hence, initial speed of then m is 0,

They are V1i, V2i  = 0 m/s

Hence, by conservation of momentum,

   MV1i + 3MV2i = MV1f + MV2f

    M(0) + 3M (0) = MV1f + 3M (2.25 m/s)

                       V1f= -6.75 m/s    (left)

(b) Kinetic energy of the system,

  K.E = 1/2 MV1f2 + 1/2 3M V2f2

        =1/2 (0.420 kg)(6.75 m/s)2+1/2(1.26)(2.25 m/s)2    (given, M = 0.420 kg)

        =9.568125  J + 3.189375 j

         =12.7575 j

According to conservation of energy,

The loos of kinetic energy is used to gain in original elastic potential energy

Hence, original elastic potential energy = 12.7575 J

(c) Since the spring stores the potential energy,

The original energy is in the Spring

(d) In bursting-apart process, The conservation of momentum is Holds.

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The spring constant is 133 N/m and time period is 0.62 seconds.

(a) The spring stretches until the magnitude of its upward force on the

    block equals the magnitude of the downward force of gravity:  ky=mg,

    where  y= 0.096m  is the elongation of the spring at equilibrium,  

                 k = the spring constant, and  m=1.3kg  is the mass of the block.

Thus,

k=mg/y= (1.3)(9.8m/s ^2)/(0.096m)=133 N/m.

(b) The period is given by, T = 1/f = [tex]\frac{2\pi }{\alpha }[/tex] = [tex]2\pi \sqrt{\frac{m}{k} }[/tex]

     where, m = mass and k = spring constant

     Given , m = 1.3 kg and  k = 133N/m

     putting these values in above equation we get,

     T = 0.62 seconds

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The picture of free body diagram drawn below:

A free-body diagram (FBD; sometimes known as a force diagram) is a graphical representation used in physics and engineering to illustrate the applied forces, moments, and consequent reactions on a body under a particular state.

The object of interest, the forces acting on it, and the resolution of each force vector into its x- and y-components are all shown in a free-body diagram. Each item in the issue requires a distinct free-body diagram.

Forces are depicted as arrows heading away from the object, which is depicted as a dot. Occasionally known as force diagrams.

The picture of free body diagram drawn below:

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The complete question is as follows:

Since the momentum remains same before and after push-off, therefore Tracey's speed will be 0.492 m/s.

Momentum is a product of mass and the velocity of a body.

The initial momentum is always equal to the final momentum during collisions between two bodies.

Therefore; M₁U₁ +M₂U₂ = M₁V₁+ M₂V₂,

where M₁ is the mass of Tracey

M₂ is the mass of Jonas,

U is the initial velocity

V is the final velocity.

(32 ×0)+ (45×0) = (32 × V₁) + (45 × 0.35)

0 = 32V₁ + 15.75

32 V₁ = - 15.75

V₁ = - 0.492 ( negative sign indicates difference in direction)

There, Tracey's speed will be 0.492 m/s.

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The number m has the ability to make the inequality true = -8

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Inequalities which are commonly used are as follows :

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The integer that will make the inequality true is m = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

According to the given information

We have,

One-fourth times the difference between m and four is less than or equal to one-eighth times the difference between m and sixteen

This can be written as,

(1/4)(m - 4) ≤ (1/8)(m - 16)

The value at which the inequality will be true.

S = {−32, −8, 16, 32}

We will check each value.

m = -32

1/4 x -36 ≤ 1/8 x -48

-9 ≤ -4

Not true

m= -8

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

True

m = 16

1/4 x 12 ≤ 1/8 x 0

3 ≤ 0

Not true

m = 32

1/4 x 28 ≤ 1/8 x 16

7 ≤ 2

Not true

Thus,

The number m has the ability to make the inequality true = -8

(1/4)(m - 4) ≤ (1/8)(m - 16)

1/4 x -12 ≤ 1/8 x -24

-3 ≤ -3

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10.66 meters per second will be the bottom speed.

We have specified that the object has a mass of 2 kg and that the plane has produced an angle of 72 meters.

The rate of acceleration will be equal to

α=ΔωΔt α = Δ ω Δ t

The rate of acceleration will be equal to t = t

Starting speed u = 0 m/sec

According to the third law of motion,

v^2=v_0^2+2ad.

So

v = 10.66 m/sec

Since the relationship is linear and passes through the origin, the acceleration of an object moving down an incline is precisely proportional to the sine of the incline's angle.

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The vibration amplitude of a spring with a constant of 20 N/m which has a speed of 1.5 m/s with a mass of 0.50 kg which is associated = 0.237 m.

When an object oscillates on a spring, the kinetic energy and potential energy of the mass-spring system change with time.

The total energy (the kinetic energy + potential energy) is constant.

The kinetic energy of an object moving with speed v is:

½ mv².

The potential energy of a spring with a constant k is:

= ½ kx².

The total energy = ½ kx² + ½ mv² = ½ kA².

The total energy equation gives the general property of simple harmonic oscillations which is directly proportional to the square of the amplitude.

And, we have:

m = 0.50 kg

k = 20 N/m

v = 1.5 m/s

Remember, the total energy = ½ kA².

So,

A² = (m)(v)² / k

= (0.50) (1.5)² / 20

= 0.05625

A = [tex]\sqrt{0.05625}[/tex]

= 0.237 m

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The number of electrons drifting through the circuit is 3×10¹⁹.

An electron is a negatively charged subatomic particle that together with protons and neutrons form an atom's nucleus.

To calculate the total number of electrons drifting through the circuit, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the number of electrons is 3×10¹⁹.

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We notice that some distant galaxies are travelling in our direction, but the motion of the galaxies in our local group is different. A true image of the actual galaxies was used to create the composite image.

Of the Local Group. Are members of the Local Group. If not in exact scale, the galaxies have been positioned in the roughly proper orientation. Edwin Hubble was the first to recognise the Local Group at the time of the earliest observations of redshift and distance. Stars, stellar remnants, interstellar gas, dust, and dark matter are all gravitationally bonded together in a motion. The term is literally "milky," alluding to the Milky Way.

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The net force exerted on a car traveling in a circular path at constant speed is A) directed toward the center of the curve. So, correct option is A.

The force which is acted on the car and responsible to move a car towards the center of the curve is called as centripetal force. A centripetal force is a force that causes a body to follow a bended way. Its course is dependably symmetrical to the movement of the body and towards the decent place of the quick focus of shape of the way. Isaac Newton portrayed it as "a force by which bodies are drawn or prompted, or in any capacity tend, towards a point regarding a center". In Newtonian mechanics, gravity gives the centripetal force causing galactic circles.

Hence, correct option is A.

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Answer:

6m/s

Explanation:

since the mass are the same

M(U1+U2) = M2V

0.25(6+0)=0.25V

1.6 = 0.25V

V = 1.6/0.25

V = 6m/s

i maybe wrong or right

A bow wave is produced when a speed boat moves faster than the waves it produces.

The ship's speed, draught, surface waves, water depth, and bow form all influence how big the bow wave is. Large bow waves will be produced by a ship with a deep draught and blunt bow, whereas smaller bow waves will be produced by vessels that plane over the water. The field of computational fluid dynamics investigates bow wave patterns.

At the price of the ship's kinetic energy, the bow wave removes energy from the ship, slowing the ship. Therefore, decreasing the bow wave's size and enhancing the ship's fuel efficiency are two key objectives of naval architecture. This is frequently accomplished on modern ships by fitting them with bulbous bows.

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False, Since v = lambda f, a wave's velocity v is independent of its wavelength lambda. mainly because the medium's characteristics affect the wave's speed.

For instance, the elastic and inertial properties of the medium affect the wave's speed for a mechanical wave. Wavelength Simply said, the wavelength is the separation between the wave crests. Additionally, a wide variety of objects move in waves of varying sizes, including light, air, water, strings, and air (which are all types of waves). In addition, we use the Greek symbol lambda to denote the wavelength of the wave (). But most people are unaware that there is a formula used to calculate wavelength.

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The speed of proton will be √2vo.

For more than 2,000 years, scientists thought that the atom was the smallest possible particle. Then they discovered that it has a nucleus composed of protons and neutrons surrounded by electrons.

They then discovered that protons and neutrons themselves have a complex inner world full of quarks and antiquarks held together by a superglue-like force created by gluons.

Later experiments with protons accelerated to speeds close to the speed of light showed that the proton is even more complex than originally thought.

For example, it contains countless particles that interact with each other—not just three quarks bound to gluons. And gluons can briefly turn into quark-antiquark pairs before annihilating each other and becoming gluons again.

Most of these results have come from particle accelerators like the one at DOE's Fermi National Accelerator Laboratory.

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Answer:

0.099

Explanation:

The correct expression of the acceleration of the object is given as; a = F/m. Option B.

We know that the acceleration has to do with the ratio of the force and the mass. The Newton second law can lead us to the definition of the force that acts on an object that does involve the acceleration of the object.

We then have;

F = ma

F = force on the object

m = mass of the object

a = acceleration of the object

Then we have;

a = F/m

This is the acceleration of the woman.

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For 1/4 value of r is the potential energy equal to the total energy.

Potential energy is the form of energy that a object gain.

first want to find the value of our, what value of R is the potential energy equal to the total energy? So you are is equal to negative 1/4 pi epsilon naught E squared over R. Which is the potential energy. And E. This is a total energy. So we just set these two values equal to each other. So negative 1/4 pi epsilon naught E squared over R. Is equal to negative M. E. To the fourth divided by eight E squared and squared each squared and R is equal to two. So we can go ahead and solve this. We get R. Is equal to two. Absolutely not H squared divided by pi M. R. E squared. And actually this is just two times A. So the radius is to a. Now part B. We want to find the probability of electron being found in this classically forbidden forbidden region are greater than the classical turning point. So we need, so first of all let's look at the ground state wave function which is one over squared pi a cubed times E. To the negative are over A. This is what will be needed to integrate to find the probability. So the probability goes from R. is equal to two way to sigh.

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The ring particle would undergo roughly 8.3 trillion collisions over that period of time.

The age of the solar system is estimated to be 4.6 billion years. This means that a ring particle would undergo roughly 8.3 trillion collisions over that period of time. To calculate this number, we can use the following formula:

Number of collisions = Time (in hours) / Time between collisions (in hours) x Number of years

Number of collisions = 4.6 x 109 (years) x 24 (hours/day) x 365.25 (days/year) / 5 (hours)

Number of collisions = [tex]8.3 * 10^{12}[/tex] (collisions)

Therefore, the number of collisions in the ring are

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The person at the top of the mountain is faster than the person at the beach by 22cm/s.

When the object is oscillating about the origin, repeatedly going left and right by identical amounts it has a time period T where the period T is the time required for one complete oscillation or cycle. The angular frequency ω is related to the period of the motion by an equation in the form

                              ω[tex]=\frac{2\pi }{T}[/tex]

Where T is the period of the earth. The period of the earth to complete one cycle is 24 hours, so it is in seconds given by

                                        T = [tex]( 24 h)\frac{3600 s}{ 1 h}[/tex] = 86.4 × 10³ s

Now, we plug the value for T into equation (1) to get ω into rad/s

                    ω [tex]=\frac{2\pi }{T} \\[/tex]

                   ω = [tex]\frac{2\pi }{86.4 * 10^{3} s}[/tex]

                   ω = 7.27 × [tex]10^{-5}[/tex] rad/s

Both persons at the beach and at the top of the mountain have a velocity that is tangent to the circle of motion, and its acceleration is called centripetal acceleration. Any object on earth has angular velocity ω and a tangential speed v and they are related to each other by an equation in the form

                        v = ω r

Where r is the radius of the circle of the motion.

For the person at the beach, its radius of motion is the same as the radius of the earth r = R while for the person at the top of the mountain its radius of motion is [tex]R_{E}[/tex] + 3000

              [tex]v_{Beach}[/tex] = ω[tex]R_{E}[/tex]

                         = [tex]( 7. 27 * 10^{-5} rad/s ) (6400 * 10^{3} )[/tex]

                         = 465.280 m/s

               [tex]v_{Mountain}[/tex] = ω[tex](R_{E} + 3000)[/tex]

                               = [tex]( 7.27 * 10^{-5} rad/s) ( 6400 * 10^{3} + 3000m )[/tex]

                               = 465.498 m/s

As shown by the results, the person at the top of the mountain has a fast speed. The difference between both velocities is expressed by

               Δv =[tex]v_{Mountain}[/tex] - [tex]v_{Beach}[/tex]

                    = ( 468.498 - 465.280) m/s

                    = 0.22 m/s

                   = 22 cm/s

Hence, The person at the top of the mountain is faster than the person at the beach by 22cm/s.

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The complete question is:

A 3000-m-high mountain is located on the equator. How much faster does a climber on top of the mountain move than a surfer at a nearby beach? The earth’s radius is 6400 km.

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30.05 sec much time it takes for the amplitude to decay to 43.2 percent of its original initial value

The greatest displacement or distance that a point on a wave or vibrating body may travel in relation to its equilibrium position It is equivalent to the vibration path's half-length.

Given data

Time period (T) = 2.84 sec

Reduction  = 93.6  %

We know that logarithmic decrement is given by:

a₁ = a₀ [tex]e^-{bt}[/tex]

where b = constant

As a₁ = 0.936 a₀

or, 0.936 a₀ = a₀ [tex]e^-{b*2.84}[/tex]

or, b = 0.002

Now a₁  = 0.432 a₀

or, 0.432 a₀ = a₀ [tex]e^-{0.002*t}[/tex]

or, t = 30.05 sec

So, it will take 30.05 sec to decay 43.2 %.

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Answer:

Igneous

CORE AGE

intrusion

ac=rω² In terms of rad/s, angular velocity describes how quickly an item is rotating around a curve. This acceleration is also known as a radial acceleration since it acts along the radius of the curved path.

Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's centre.

Centripetal accelerations are brought on by centripetal forces. The gravitational pull between them produces the centripetal force that drives the motion in the unique situation of the Earth's clockwise direction around the Sun and any satellite's rotational inertia around in any celestial body.

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0.9 solar mass The radius is smallest for a white dwarf. A common unit of mass used in astronomy is the solar mass, which is roughly 2 10 kg. It is frequently employed to denote the masses of other stars.

Including black holes, galaxies, nebulae, star clusters, and more. In other words, the atomic radius is smaller because the electrons are being drawn closer to the nucleus by a stronger force of attraction. Additionally, anions are larger than their corresponding atoms due to electron-electron repulsion, which causes them to spread apart. It follows that Cl has the shortest radius. Almost every aspect of a star, including its brilliance, size, evolution, longevity, and ultimate fate, is governed by its starting mass.

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Answer:

Explanation:

The energy gained by the water can be calculated using the formula for the heat capacity of water, which is: q = mc * Delta T, where q is the energy gained by the water, m is the mass of the water, c is the heat capacity of water, and Delta T is the change in temperature of the water. In this case, m = 1 kg, c = 4.184 J/g * oC, and Delta T = 23.059 - 20 = 3.059 oC. Substituting these values into the formula, we find that the energy gained by the water is approximately 52.3 J.

The heat gained by water will be equal to the heat lost by the material bolt and it can be calculated using calorimetric equation. The heat energy gained  by water is equal to 12800 J.

Calorimetry is an analytical technique used to determine the heat energy absorbed or released by a reaction system. The calorimetric equation connecting the heat energy q with the mass m, temperature difference ΔT and specific heat capacity c is written as:

q = m c ΔT.

The specific heat capacity of water = 4.18 J/ g °C

mass = 1 kg = 1000 g

temperature difference from 20 to 23. 059 °C.

The heat energy gained by water from the material bolt is then calculated as follows:

q = 4.18 J/ g °C × 1000 g × (23. 059 0 - 20 °C )

  = 12800 J.

Therefore, the energy gained by water during the process is 12800 J.

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The asteroid belt circles the sun between the orbits of mars and jupite is 4.38 x 10^11m .

What is Kepler's 3rd law?

The cubes of the semi-major axes of the planets' orbits are precisely proportional to the squares of the planets' orbital periods. According to Kepler's Third Law, as an orbiting planet's radius rises, so does the time of its orbit around the Sun.

Using Kepler's 3rd law which is: T² = 4π²r³ / GM

Solved for r :

r = [GMT² / 4π²]⅓

Where G is the universal gravitational constant, M is the mass of the sun,T is the asteroid's period in seconds, and r is the radius of the orbit.

Change 5.00 years to seconds :

5.00years = 5.00years(365days/year)(24.0hours/day)(6... = 1.58 x 10^8s

The radius of the orbit then is computed:

r = [(6.67 x 10^-11N∙m²/kg²)(1.99 x 10^30kg)(1.58 x 10^8s)² / 4π²]⅓ = 4.38 x 10^11m

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a) R= Resultant vector  R=A+B+C ,D=12 steps i^−48 steps j^​

The resultant vector is described as a single vector with the same consequence as several other vectors taken together.

R = A + B.Formula 2: To obtain the resultant, opposing vectors are subtracted from one another.Here, a vector B is pointing in the opposite direction of the vector A, as well as the resulting vector is called R.

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