Imagine that the entire Sun, of mass MS , collapses to a sphere of radius Rg such that the work required to remove a small mass m from the surface would be equal to its rest energy mc² . This radius is called the gravitational radius for the Sun.(a) Use this approach to show that Rg = GMS / c² .

The intensity delivered to the eardrum is [tex]3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex].

The area is measured on a plane perpendicular to the direction of the energy's transmission, and the power transferred per unit area is known in physics as the intensity or flux of radiant radiation. The SI system's fundamental units are watts per square meter. The average power transmission across the course of a wave, such as sound waves or electromagnetic waves like light or radio waves, is referred to as the "intensity" of the wave. The term "intensity" can be used to characterize a wide range of energy exchange scenarios. For example, one may calculate the amount of kinetic energy that each drop of water from a sprinkler is carrying. It is possible to determine intensity using the energy density.

Calculations:

[tex]${\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$ and ${\beta _2} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right)$$ = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}}} \right) - 10{\log _{10}}\left( {\dfrac{{{I_1}}}{{{I_0}}}} \right)$[/tex][tex]$ \ {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_0}}} \times \dfrac{{{I_0}}}{{{I_1}}}} \right)$ [Using $\log a - \log b = \log \left( {\dfrac{a}{b}} \right)$][/tex]

[tex]$ \arrow = {\beta _2} - {\beta _1} = 10{\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)$\[ \arrow = \dfrac{{{\beta _2} - {\beta _1}}}{{10}} = {\log _{10}}\left( {\dfrac{{{I_2}}}{{{I_1}}}} \right)\][/tex]

[tex]\[ \arrow ={10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}} = \dfrac{{{I_2}}}{{{I_1}}}\]\[ \arrow ={I_2} = {I_1}{10^{\dfrac{{{\beta _2} - {\beta _1}}}{{10}}}}\]Thus, we have ${I_2} = 3.0 \times {10^{ - 11}}\,W/{m^2} \times {10^{\dfrac{{30.0}}{{10}}}}$$ \arrow= {I_2} = 3.0 \times {10^{ - 11}} \times {10^3}\,W/{m^2}$$ \arrow ={I_2} = 3.0 \times {10^{ - 8}}\,W/{m^2}$[/tex]

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Answer:

true

Explanation:

correct me if i'm wrong

Answer:

False

Explanation:

A convenient definition of temperature is that it is a measure of the average translation kinetic energy associated with the disordered microscopic motion of atoms and molecules. The flow of heat is from a high temperature region towards a lower temperature region.What is the microscopic energy?

Microscopic Energy. This energy is defined as the energy associated with the random, disordered motion of molecules and due to intermolecular forces.Is temperature a direct measure of the amount of energy in an object?

Temperature is a direct measurement of thermal energy, meaning that the hotter an object is, the more thermal energy it has. Heat is a measure of how much thermal energy is transferred between two systems. It is easy to turn mechanical energy into thermal energy, for example using friction.

Part A: Since the magnetic field is proportional to the number of turns per length (n), it follows that the magnetic field within the solenoid stays constant when both the number of turns and the length are doubled.

Answer C for portion B) is accurate; there are still the same number of turns per length.

A solenoid, to put it simply, transforms electrical energy into mechanical work. Many turns of tightly wound copper wire make up the coil. A powerful magnetic field or flux is produced when an electrical current passes through this wire.

Many turns of tightly wound copper wire make up the coil. A powerful magnetic field or flux is produced when an electrical current passes through this wire.

The housing, which is often composed of iron or steel, encloses the coil and concentrates the magnetic field it produces.

By concentrating the magnetic field, which generates the necessary mechanical force, the plunger is drawn to the stop.

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Since the cannonball was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, the time the cannonball remains in the air is for 1.75 s

A projectile is an object that moves through air in a parabolic path

Since the cannonball is a projectile and was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, using the equation of motion y' - y = ut - 1/2gt² we find the time it takes the cannonball to reach the ground. or remain in the air

Since y' - y = ut - 1/2gt²  where

Substituting the values of the variables into the equation and solving for t, we have

y' - y = ut - 1/2gt²  

0 m - 15 m = 0 m/s × t - 1/2 (9.8 m/s²)t²  

- 15 m = 0 m/s - (4.9 m/s²)t²  

- 15 m = - (4.9 m/s²)t²  

t² = -15 m/- (4.9 m/s²)

t² = 3.061 s²

t = √3.061 s²

t = 1.75 s

So, the time the cannonball remains in the air is for 1.75 s

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The woman needs to climb a step of 1.05 m to work off her breakfast.

The potential energy of an object is the energy that is stored in the object due to its position above the ground level.

The potential energy of the woman can be used to determine the number of steps she needs to climb.

potential energy + heat energy = chemical energy

1 kcal = 4184 J

0.540 kcal = ?

= 2259.36 J

P.E = mgh

55 x 9.8 x h = 0.25(2259.36)

h = 1.05 m

Thus, the woman needs to climb a step of 1.05 m to work off her breakfast.

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The acceleration of the ball while it is in contact with the wall is 4036.023 m/s²

ball strikes the wall at a speed of 17.9m/sec

after striking its goes in opposite direction with a speed of 16.0026m/sec

We have given that speed towards the wall is positive

So, u = 17.9m/sec

v = -16.0026m/sec

t = 0.0084 sec

We know that acceleration is given by

a = v-u/t

where

v = final speed

u = initial speed

t = time taken

a = v-u/t

a = 17.9 - (-16.0026) / 0.0084

a = 33.9026 / 0.0084

a = 4036.023 m/s²

So the acceleration of the ball while it is in contact with the wall is 4036.023 m/s²

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The tank that has a volume of 46575 m³ with a concentration of 65 mg/l has a total mass of mercury of: 3027.375 kg

To solve this problem the formulas and the procedures that we have to use are:

Where

Information about the problem:

Using the volume formula we get:

v=  long * wide * deep

v(solution) =  115 m * 45 m * 9 m

v(solution) = 46575 m³

By converting the volume units from m³ to liters we have:

v(solution) = 46575 m³ * 1000 l/1m³

v(solution) = 43.575*10^6 l

Applying the concentration formula and clearing the mass we get:

c= m(solute)/v(solution)

m(solute) = c * v(solution)

m(mercury) = 65 mg (mercury)/l (solution)  * 43.575*10^6 l (solution)

m(mercury) = 3.027375*10^9 mg

By converting the mass units from (mg) to (kg) we have:

m(mercury) = 3.027375*10^9 mg * 1 kg/ 1 * 10^6 mg

m(mercury) = 3027.375 kg

In chemistry a solution is known as a homogeneous mixture of two or more components called:

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The wavelength of the initial note is 2.34m

The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction. The distance a wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave). The wave's crest is its highest point, while its dip is its lowest. Because a wavelength represents a distance or length, it is expressed in length units like meters, centimeters, millimeters, nanometers, etc. Light's wavelength changes with color, or it differs for each hue. While violet has the shortest wavelength, red has the longest.

wavelength = v/f

Given:

Initial frequency, [tex]f_{initial} = 146.8 Hz[/tex]

Final frequency, [tex]f_{final} = 880\;Hz[/tex]

Sound Level, [tex]\beta = 79\;dB[/tex]

We know that,

Speed of the sound, [tex]v=343\;m/s[/tex]

Density of air, [tex]\rho=1.2\;kg/m^{3}[/tex]

Wavelength, [tex]\lambda = \frac{v}{f}[/tex]

Wavelength of initial note is,

[tex]\lambda = \frac{v}{f_{initial} }[/tex]

Substitute the known values in the above equation,

[tex]\lambda = \frac{343}{146.8}[/tex]

[tex]\lambda = 2.34\;m[/tex]

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The force that gravitation exerts upon a body, equal to the mass of the body times the local acceleration of gravity is known as weight.

Weight is the force of gravity acting on a body.

The formula is :

                                W =mg

Here,

W is the weight or force acting on the body. m is the mass of the body, and g is the gravitational acceleration.

Since weight is also a force, so its SI unit is also newton. The value of weight varies from place to place depending on the gravity. Its value can also be equal to zero.

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Considering the definition of velocity, the magnitude of the helicopter's displacement is 700 meters.

Velocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction.

In other words, the velocity can be defined as the amount of space traveled per unit of time with which a body moves, considering the direction.

The velocity can be calculated using the expression:

velocity= displacement÷ time

In this case, you know:

Replacing in the definition of velocity:

70 m/s= displacement÷ 10 s

Solving:

70 m/s× 10 s= displacement

700 m= displacement

Finally, the magnitude of the helicopter's displacement is 700 meters.

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The force acting on a car will be an action type of force.

The effects of net force and mass on a material's acceleration are described by Newton's second law. Newton's second law is given as,

F = ma

Where m is the mass, a is the acceleration, and F is the force acting on a body.

The forces that actually affect a body's acceleration are referred to as the active forces when a specific body is under discussion. Ignore the resistance the car's front tires experience to make things easier.

A force of the action kind will be exerted on an automobile.

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The car's acceleration would be for a mass of 4 kg is 3 m/s²

Given the information below:

12 Newtons of force.

Increasing speed Equals

By using Newton's Second Law of Motion, we can determine the mass of the car:

According to Newton's second law of motion, force is equal to the rate at which momentum changes. Force is defined as mass times acceleration for a constant mass.

force= mass* acceleration

This formula provides Newton's Second Law of Motion mathematically;

12= mass*3

mass=12/ 3

mass=4 kilogram

By changing the parameters in the formula, we obtain;

= 4 kilos of mass.

As a result, the vehicle with a mass of 4 kg would accelerate at 3 m/s².

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The frequency of oscillation is [tex]\frac{1}{2\pi } \sqrt{\frac{\mu B}{I} }[/tex].

The magnetic moment is the magnetism of a magnet or other item that creates a magnetic field, as well as its orientation and strength. Electromagnets, permanent magnets, elementary particles like electrons, different compounds, and a variety of celestial objects are examples of things that have magnetic moments (such as many planets, some moons, stars, etc). The phrase "magnetic moment" typically refers to a system's magnetic dipole moment, which can be represented by an analogous magnetic dipole, which has a magnetic north and south pole that are barely separated from one another. For sufficiently small magnets or at sufficiently wide distances, the magnetic dipole component is adequate. For extended objects, additional terms may be required in addition to the dipole moment, such as the magnetic quadrupole moment.

[tex]T = \frac{ Id^{2}\theta }{dt^{2} }[/tex]

[tex]-\mu B\theta=\frac{ Id^{2}\theta }{dt^{2} }[/tex]

[tex]\frac{d^{2}\theta }{dt^{2} } = -(\frac{\mu BI}{\theta} )[/tex]

By Comparing the above equation with the SHM equation

[tex]\frac{d^2 \theta} {dt^{2} } = -\omega^{2} \theta[/tex]

[tex]\omega^{2} =\frac{ \mu B}{I}[/tex]

Frequency = [tex]\frac{\mu}{2\pi }[/tex]

=[tex]\frac{\sqrt{\frac{\mu B}{I} } }{2\pi}[/tex]

=[tex]\frac{1}{2\pi } \sqrt{\frac{\mu B}{I} }[/tex]

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Answer:

Hope my answer is understandable to you.

The tension in the cord is 4.6 N

According to Newton's second law, an object's acceleration is determined by two factors: the net force acting on the object and the mass of the object.

So, if we chose the positive +x uphill for the FedEx box of mass m2= 1.0 kg and +ve axis for m1 = 3.0 kg such that their accelerations have the same magnitude.

As we apply Newton's second law to each box, we discover that:

[tex]\mathbf{F - T -m_2gsin\theta = m_2a}[/tex]

where;

Thus, the first equation can be rewritten as:

[tex]\mathbf{F-m_2gsin\theta = (m_1+m_2)a}[/tex]

Now, the acceleration moving in the same direction can be computed as:

[tex]\mathbf{a=\dfrac{12N (1.0 kg)(9.8 \ m/s^2)sin 37^0}{(1.0+3.0)kg}}[/tex]

a = 1.53 m/s²

Finally, the tension [tex]\mathbf{T=m_1a}[/tex] = (3.0 kg) (1.53 m/s²)

= 4.6 N

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Answer:

net force= -50N +70N

=20N

Explanation:

The balls are moving in opposite directions as indicated and to the right is (-) while to left is (+). Therefore net force is equal to sum of the force

The cue ball travels to the left with a force of +70 N and collides with the four-ball moving towards the right with a force of -50 N.

A push or a pull that alters or tends to alter an object's uniform motion or state of rest, as well as altering an object's direction or shape, is referred to as force. It either accelerates items or increases the pressure they are under. The interaction between two items is, to put it simply, a push or a pull on the object. It is the fundamental driver of motion starting from stillness.

Given information according to the question,

The cue ball travels to the left with a force of +70 N and,

The force by four balls moving to the right is -50 N.

Net force, N = 70 N - 50 N

N = 20 N towards the left direction.

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The wavelength of initial node is 2.34m.

The wavelength, which in physics refers to the length over which a periodic wave repeats, is its spatial period. It is the distance between two successive corresponding wave points of the same phase, such as two neighboring crests, troughs, or zero crossings, and it is a feature of both traveling waves and standing waves, as well as other spatial wave patterns. The spatial frequency is defined as the wavelength's inverse. Greek letter lambda, which means "wavelength," is frequently used to denote it. Sometimes, modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids are all referred to by the term wavelength.

Wave lengthλ=[tex]\frac{v}{f} = \frac{343 m/g}{146.6/g} =2.34m[/tex].

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The emf induced in the coil as a function of time is 2.2 mV.

The emf induced in the coil is calculated as follows;

emf = NAdB/dt

where;

A is area of the coil, A = πr² = π(2.7 x 10⁻³)² = 2.29 x 10⁻⁵ m².

dB/dt = 3.2cos(1046π) = 3.2

emf = (30 x 2.29 x 10⁻⁵ x 3.2) = 2.2 x 10⁻³ V

emf = 2.2 mV

Thus, the emf induced in the coil as a function of time is 2.2 mV.

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A box is at rest on an inclined surface. The last diagram correctly illustrates all forces, including any component force, therefore the correct option is D.

When two physical objects' surfaces come into contact, a force called friction acts to hinder or resist the relative motion of the items. Any two surfaces of things cannot simply slide over or across one another due to the friction force. It depends on the amount of force used on the object.

Additionally, there should be no net vertical forces acting on the inclined block. Fv=0

Therefore, the appropriate diagram is D.

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A box is at rest on an inclined surface. Which diagram correctly illustrates all forces, including any component forces?

Assume the x-axis is parallel to the surface.

Speed of light in terms of astronomical unit is 0.12AU/min.

The astronomical unit (symbol: au, or AU) is a measurement of length that is approximately 150 million kilometers (93 million miles) or 8.3 light minutes long, representing the distance between the Earth and the Sun. As Earth orbits the Sun, its actual distance from the Sun changes by roughly 3%, going from its greatest value (aphelion) to its smallest value (perihelion), and back again, once a year. Originally intended to represent the average of Earth's aphelion and perihelion, the astronomical unit has been precisely defined as 149597870700 m since 2012. The astronomical unit is mostly used to calculate distances within or around other stars and other solar systems. It is also a crucial element in the definition of the parsec, another astronomical measure of length.

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Answer:

the study of Earth's magnetic field is known as isochronism

Explanation:

isochronism is having a period that is independent of oscillator amplitude in an oscillator. Like, a pendulum or balance.

Answer:

5000N

Explanation:

Force is given by the formula F = ma where m is the mass and a the acceleration

Plugging in given values of m and a gives us

F = 1000 kg x 5 m/s² = 5000 Newtons or simply 5000N

The total resistance of the RLC series circuit is determined as 20 ohms.

The total resistance of the RLC series circuit is calculated as follows;

R = Vrms / Irms

where;

Substitute the given parameters and solve for the total resistance

R = (180) / (9)

R = 20 ohms

Thus, the total resistance of the RLC series circuit is determined as 20 ohms.

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Answer:

1.2 m/s

Explanation:

You must divide the distance by time in order to find velocity! 50/45. He was going 1.2 m/s!

Answer: 34

Explanation:

The height the atmosphere would extend is 16,218.5 m.

The standard atmospheric pressure at sea level has a magnitude of 101,325 N/m².

Pa = ρgh

where;

when the density of air is half, ρ = 0.5ρ

Pa = (0.5ρ)gh

h = Pa/(0.5ρg)

h = (101,325) / (0.5 x 1.275 x 9.8)

h = 16,218.5 m

Thus, the height the atmosphere would extend is 16,218.5 m.

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Because according to Rutherford's atomic model electrons revolve around the nucleus and are not embedded in it just like plum in pudding. Therefore, it was J.J Thomson's model was rejected.

Rutherford disapproved the previous atomic model of J.J Thomson which suggested that electron are embedded in a positively charged nucleus like the plums in a pudding also known as plum pudding model.

He performed gold foil experiment to determine the atomic model.

However, after conducting the experiment he found that many electrons went starting without changing path.

Only few changed their path showing that atom has a dense massive structure called nucleus.

Thus, Rutherford model shows that electron are not embedded in the nucleus instead they revolve around it.

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The electric field at a distance of 7.00 cm is 8.60×10^−2C/m2

The charge per unit area of wall is

σ = (8.60×10^−6C/cm2)( 100cm /m)^2 = 8.60×10^−2C/m2

The electric field at a distance of 2.00 cm is then

E =  σ /7∈0  = (8.60×10^−2C/m^2) / 7(8.85×10−12C2/N⋅m2)

= 1.38×10^9N/C away from the wall.

Electric field, an electric property associated with each point in space when the charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.

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The car that would have the acceleration of 3m/s^2 would be of mass 4 kg.

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Answer:

Im not sure if this is correct but it might be 15.3

Explanation:

8.5kg multiplied by 1.8 m/s is 15.3

Answer:

KE = 13.77 J

Explanation:

KE=1/2 mv^2