______require high temperatures and pressures to react with other elements.

Answer:

False

Explanation:

gravitational potential energy = mgh

10*10*1 = 100 joules

Electromagnetic waves for sunlight is  966.48  V/m

a) We know that the intensity of light

                 I = (1/2)ε0cEm2

From the above equation we can write

                Em = √(2I / ε0c)

                      = √2 * 1.24 x 103 / 8.85 x 10-12 * 3 x108

                      = 966.48  V/m

When an electric field and a magnetic field vibrate together, electromagnetic waves, or EM waves, are produced. Thus, magnetic and electric fields oscillate to form electromagnetic waves (EM waves). When an electric field and a magnetic field interact, electromagnetic waves are produced. It follows that they are referred to as "electromagnetic" waves. An electromagnetic wave's electric and magnetic fields are parallel to one another and form a right angle. In addition, they are parallel to the EM wave's direction.

In vacuum, the speed of electromagnetic waves is constant at 3.00 x 108 ms-1. Neither the electric nor magnetic fields can deflect them. On the other hand, they can exhibit diffraction or interference.

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The size of a wave is equivalent to half its top to valley distance, which is the solution to the question.

A wave sensor's length, which corresponds to the distance between two identical locations (next crests) in successive cycles, determines whether it is sent through space or via a wire. In wireless systems, this length is often specified in meters (m), centimeters (cm), or millimeter (mm) (mm). The duration can be calculated as the distance between two contiguous wave front peaks or waves propagating compressions. It is often represented in meters. Such waves have a relationship between their energy and wavelength. Waves with a shorter wavelength have had more energy than waves with a longer wavelength of the same intensity.

A = 1/2* distance

A = 1/2* 5.8

A = 2.9m

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The complete question is-

From Peak To Trough A Wave On The Ocean Measures 5.8 M And Has A Wavelength Of 22.5 M. What Is The Amplitude Of The Wave?

Two balls having different speeds roll off the edge of a horizontal table at the same time, both will hit the floor at the same time.

Velocity is defined in physics as a vector measurement of direction and velocity of motion. More specifically, the velocity of an object can also be defined as the rate of change of the object's position with respect to the reference frame and time. Simply put, the term velocity describes how fast an object moves in a particular direction. Indicates whether something is moving slowly or quickly. Let's look at an example where two objects are moving. If two objects are moving in the same direction, it's easy to tell which is moving faster. However, it is very difficult to determine which object is faster when both are moving in opposite directions. Considering such difficulties and ways to overcome them, our scientists developed the concept of velocity to make it easier for observers to identify faster or slower objects.

Both balls will hit the ground simultaneously. This is because both balls were moving parallel to the ground when they left the table (remember the table is horizontal). Both balls have 0 velocity in the direction of interest, both accelerate at the same velocity and land at the same time.

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Nasa’s Orion spacecraft, which left earth last week, flew within 81 miles of the surface of the moon on Monday .

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Total energy in compressing a spring is [tex]kx^{2}/2[/tex].

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A rope with the mass m and length L hangs from a ceiling. Show that the rope's wave speed at a distance of y above the lower end is v = gy.

What is the name for a wave's speed?

Wave speed is a feature of waves that can be used to describe the absolute value of phase velocity or the speed at which a wave phase moves at a specific frequency. group velocity, which differs from the phase velocity for dispersive waves, is the rate of propagation for the envelope of wave groups and frequently of wave energy.

What is a straightforward definition of wave velocity?

The distance a wave travels in a unit of time is measured by its wave velocity. It is the rate at which a particle is disturbed by something like a peak

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The resistance of the resistor r so maximum current is 40.9 mA.

A Resistor and inductor are connected to a 9.0 v battery by a switch as shown. the moment the switch is closed, current flows through the circuit. the resistor has a resistance of r.

Calculation:-

Maximum current imax = V/R

= 9/220

= 40.9 mA.

Resistors are used for many purposes. a few examples consist of restricting electric powered cutting-edge, voltage division, warmth generation, matching and loading circuits, benefit manage, and setting time constants. they may be commercially available with resistance values over various extra than nine orders of magnitude.

A circuit is a entire circular direction that energy flows via. A easy circuit includes a modern supply, conductors and a load. The time period circuit may be utilized in a preferred sense to consult any fixed route that energy, records or a sign can travel via.

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The magnitude of the current required to produce 1.4 kg of sodium metal in one hour is 1398.38 Amps

Weight of Sodium = 1.4 kg = 1400 g

The molar mass of Sodium = 23 u

Moles of Sodium = 1400/23 = 52.174

No. of atoms of copper = 52.174 * 6.023 x[tex]10^{23}[/tex] = 3.14 x [tex]10^{25}[/tex]

Each copper requires a 1e charge,

So total charge = 1.602 x[tex]10^{-19}[/tex] * 3.14 x [tex]10^{25}[/tex]= 5034180.52 C

I = total charge/time

Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The current is frequently represented by the capital letter I. The standard unit is the ampere, represented by the letter A.

So I = 5034180.52/3600 = 1398.38 Amps

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Radius of the planet's orbit is 2.15 * [tex]10^{-6}[/tex] m

Radius of the orbit can be calculated by applying Kepler's third law, which  compares the motion characteristics of different planets, i.e. it compares the orbital period and the radius of the orbit.

Where

T = Time period = 300Days ( Period)

r = radius

G =   Gravitational constant = 6.67 * [tex]10^{-11}[/tex] m³/Kgs

M =  Mass of the object, sun in this case = 1.99 * [tex]10^{30}[/tex] kg

Then, rearranging the Kepler's equation,

[tex]R^{3} = GMT^{2} /4\pi ^{2}[/tex]

R³ = 100 * [tex]10^{-19}[/tex]

R = 2.15 * [tex]10^{-6}[/tex] m

The radius of the planet which is reported to orbiting for 300 days is 2.15 * [tex]10^{-6}[/tex] m

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Answer:

The relation between acceleration due to gravity for both cases [tex]g_{1} = 9g_{2}[/tex]

Explanation:

What is acceleration due to gravity ?

Any object's acceleration when it is only being affected by gravity.

According to the given information

Acceleration due to gravity could be found by  [tex]\frac{GM}{r^{2} }[/tex]

Distance between satellite orbiting planet from center = r

Acceleration due to gravity for this case [tex]g_{1}[/tex] = [tex]\frac{GM}{r^{2} }[/tex]

Distance between satellite orbiting planet from center = 3r

Acceleration due to gravity for this case [tex]g_{2}[/tex] = [tex]\frac{GM}{(3r)^{2} }[/tex]

relation between the acceleration due gravity in each case

[tex]\frac{g_{1} }{g_{2} } =\frac{(3r)^{2} }{r^{2} } \\[/tex]

[tex]\frac{g_{1} }{g_{2} } =\frac{9r^{2} }{r^{2} } \\[/tex]

[tex]\frac{g_{1} }{g_{2} }[/tex] = 9

[tex]g_{1} = 9g_{2}[/tex]

The relation between acceleration due to gravity for both cases [tex]g_{1} = 9g_{2}[/tex]

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Both hills' lowest speeds for the sled are the same.

Sleds—also known as sleighs—are wintertime vehicles that are often pulled across ice or snow by either horses or dogs. The travois and the sidecar, which were its predecessors, are said to have been the earliest human-powered vehicles.

An open-topped, often medium- to large-sized sleigh is used to transport people or cargo. Reindeer, dogs, or horses are frequently used as the drivers. While the name "sled" is still used generally in American parlance, it frequently refers to a smaller, frequently recreational, equipment.

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3D lasers scanner: uses laser projector and cameras to determine part dimensional coordinates to high degree of accuracy, high cost.

Scales: similar to a ruler used for linear measures with "eyeball" accuracy, traditional, affordable, and occasionally insufficiently exact.

Measurements are fairly accurate thanks to the caliper's ability to expand to fit the part being measured.

Coordinate measuring machine: uses probe to touch part and senses x, y, and z coordinate locations that record information into memory (also known as digitizing model), accuracy in the 0.001 mm range, larger volumes greatly increase system cost

No of the size or surface details of the object being scanned, 3D laser scanner uses either phase-based or LIDAR technology to reliably and effectively gather 3-dimensional data. 3D laser scanning generates clear and accurate digital records of present conditions without actually touching what is being measured. The scan generates countless numbers of measurement points known as "coordinates." "Point clouds" are collections of points that together represent raw data. An x, y, and z value is contained in each coordinate in a point cloud. These values are often referred to as northing (y), easting (x), and elevation (z). These points have such fine precision that it is possible to measure exactly from one point to any other point in the point cloud.

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The position of the object thrown upward with an initial velocity of 64 feet per second at an initial height of 80 feet from the ground after 10 seconds from the ground is 709.38 m

According to equation of motion,

s = u t + 1 / 2 a t²

s = Displacement

u = Initial velocity

t = Time

a = Acceleration

u = 64 ft / s

u = 19.5 m / s

t = 10 s

s = ( 19.5 * 10 ) + ( 1 / 2 * 9.8 * 10² )

s = 195 + 490

s = 685 m

Total distance from the ground,

d = h + s

h = 80 ft = 24.38 m

d = 24.38 + 685

d = 709.38 m

The final position of the object from the ground is 709.38 m

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The greatest distance that is measured from the  the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope is 1.37 m

We would have to solve for the tensile strength first.

The tensile strength is given as: T /A

The radius = diameter / 2

= 7 / 2

= 3.5

area = πr²

=We would have to solve for the maximum force from here

6 x 10⁷ x π *(3.5*10⁻³)² = 2309.1

Next we would have to solve for the greatest distance

The net torque is given as 0

Fmax x L = m*g*x

2309.1*3.5 = 600*9.8*x

8081.85 = 5880x

divide through to get the value of x

x = 8081.85 /  5880

= 1.37m

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Poisson brackets are powerful and sophisticated tool in the Hamilton formalism of classical mechanism.

The nonverbal code that most explicitly deals with movements and motion-based behaviors is known as kinesics.

Kinesics in Poisson bracket describes the way our hands, arms, faces, and bodies move to express meaning. It's our body language throughout a discussion or how we appear when we're speaking. This might show that we are interested in the interaction and are confident in it.

Poisson bracket refers to a broad range of visual codes involving the movement of the human body. Among these codes are gestures, posture, eye gaze, and facial expressions. Artifacts represent the various ways that we adorn or manipulate the body to communicate cultural or personal meanings.

Therefore, these Poisson bracket also shows a link between quantum and classical mechanism.

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Answer:

Explanation:

Given:

m₁ = 100 kg

m₂ = 1800 kg

V₂ = 4.8 m/s

____________

V₁ - ?

According to the condition of the problem, the  momentum  are equal:

m₁·V₁ = m₂·V₂

Speed:

V₁ = m₂·V₂ / m₁ = 1800·4.8 / 100 ≈ 86 m/s

The electron is subjected to a magnetic field accelerates at a rate of 3.0 E18 m/s.

The magnets are attracted to or repelling one another as a result of this force. A compass, a motor, magnetic magnets that hold items in refrigerators, railroad tracks, and modern roller coasters are examples of objects that use magnetic force. A magnetic field is created by all moving charges, and any charges that move across its regions feel a force.

F=qvBsinθ

F=1.6×10−19 C×8.0×106m/s×2.5T×sin60∘

F=2.8×10−12 N

A magnet exerts a magnetic pull on particular materials like metal, steel, nickel, and cobalt. This force can work from a distance, making it a sort of non-contact force. It does not needed that the objects be in direct contact. We learnt how to utilize a magnet to draw coins in the example above.

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In this problem we have spherical symmetry, so we can apply Gauss theorem to find the magnitude of the electric field:

∫ E(r) . dr = q / ε₀

where the term on the left is the flux of the electric field through the gaussian surface, and q is the charge contained in the surface.

Here we are analyzing the field at a distance , so outside the solid ball. If we take a gaussian sphere with radius r, we can rewrite the equation above as:

E(r) . 4πr² = q/ε₀  (1)

where 4πr² is the surface of the sphere.

The charge contained in the sphere, q, is equal to the charge density  times the volume of the solid ball, 4/3πr³ₐ:

q = ρ (4/3πr³ₐ)  (2)

Combining (1) and (2), we find

E(r) . 4πr² = (4/3ρπr³ₐ) / (3ε₀)

E(r) = ρπr³ₐ / 3ε₀r²

And we see that the electric field strength is inversely proportional to the square of the distance, r.

B) Now we are inside the solid ball: . By taking a gaussian sphere with radius r, the Gauss theorem becomes

E(r) . 4πr² = q / ε₀ (1)

But this time, the charge q is only the charge inside the gaussian sphere of radius r, so

q = ρ(4/3πr³) (2)

Combining (1) and (2), we find

E(r) . 4πr² = 4ρπr³ / 3ε₀

E(r) = ρr / 3ε₀

And we see that this time the electric field strength is proportional to r.

C) E(0)=0.

limr→∞E(r)=0.

The maximum electric field occurs when r=rb.

From part A) and B), we observed that

ρr / 3ε₀ (1)

so it increases linearly with r

E(r) = ρrₐ³ / 3ε₀r²  (2)

so it decreases quadratically with r

--> This implies that:

1) At r=0, the electric field is 0, because if we substitute r=0 inside eq.(1), we find E(0)=0

2) For r→∞, the electric field tends to zero as well, because according to eq.(2), the electric field strength decreases with the distance r

3) The maximum electric field occur for , i.e. on the surface of the solid ball: in fact, for  the electric field increases with distance, while for  the field decreases with distance, so the maximum value of the field is for .

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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: A solid ball of radius rb has a uniform charge density ρ.

Part A What is the magnitude of the electric field E(r) at a distance r>rb from the center of the ball? Express your answer in terms of ρ, rb, r, and ϵ0.

Part B What is the magnitude of the electric field E(r) at a distance r Express your answer in terms of ρ, r, rb, and ϵ0.

Part CLet E(r) represent the electric field due to the charged ball throughout all of space. Which of the following statements about the electric field are true?

Check all that apply.

E(0)=0.

E(rb)=0.

limr→∞E(r)=0.

The maximum electric field occurs when r=0.

The maximum electric field occurs when r=rb.

The maximum electric field occurs as r→∞.]

The minimum value of M1 to keep a board from falling off the platform is 90 kg.

The mass (M1) placed on the left side edge of the board

the mass of the board = 60 kg

the length of the board = 6 m

If the mass on the right side = 30 kg, and the length of the board L1 = 2m

Then, the length L2 which extend over the edge = 4m

Consider the center of gravity in the board that lies at the length of the board midpoint.

Then, the distance (D) of the gravity center from the platform end = 3 - 2

= 1

The moment when the platform end, the mass (M1) placed on the left side edge of the board can be computed as:

M1= 60kg+120kg/2

M1=180kg/2

M1=90kg

Therefore, The minimum value M1 needed to keep the board from falling off the platform is 90 kg.

Mass is a quantitative measure of inertia, a fundamental property of matter.

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The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴  N.

Newton's Gravitational Law - The force between two objects is directly proportional to the product of their masses and the force between two objects is inversely proportional to the square of the distance between them.

We use the Newton's Gravitational Law formula to find the Gravitational Force on the satellite :

F = G (m₁ m₂)/r²

where,

F = Gravitational Force

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

m₁ = mass of earth = 5.97 x 10²⁴ kg

m₂ = mass of satellite = 2050 kg

radius of earth = 6.38 x 106 m

r = distance between the centre of earth and the centre of satellite

r = distance of satellite from the surface of earth + radius of earth

r = 880000 m + 6380000 m = 7260000 m

Therefore,

             (6.67 x 10-11  N.m²/kg²).(5.97 x 10²⁴ kg).(2050 kg)

    F  =  --------------------------------------------------------------------------

           (7260000 m)²

    F = 1.548 x 10⁴  N

The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴  N.

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when heating is at the minimum rate. The applied voltage is 220 V. The current in each case is 271.60 (approx)

P = VI   V is voltage and I is current

then,

I = P/V

when heating is at maximum

current:

I = 420W/220V

=1.9(approx)

resistance:

R = V/I

= 220V/1.9A

=115.78(approx)

when heating in minimum

current:

I = P/V

= 180W/220V

= 0.81 (approx)

resistance:

R = V/I

=220V/0.81A

=271.60 (approx)

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Answer:

Explanation:

Kepler's First Law Describes the Shape of an Orbit

The orbit of a planet around the Sun (or of a satellite around a planet) is not a perfect circle. It is an ellipse—a “flattened” circle. The Sun (or the center of the planet) occupies one focus of the ellipse.

The second particle would therefore move at a speed of (-51.5) m/s.

Velocity is the directionally speed of an object in motion, as measured by a certain unit of time and seen from a particular point of reference.

According to the given information

Mass (m) = 100 gm

20 m/s is the speed.

Vertical velocity is zero at its maximum.

The system's horizontal momentum is conserved because there is no horizontal force acting on it.

[tex]m_{2}[/tex] = 100-72= 28g

[tex]m_{1}v_{1} + m_{2}v_{2}[/tex] = 0

[tex]v_{2} = -\frac{m_{1}v_{1} }{m_{2} }[/tex]

[tex]v_{2}[/tex] = (72×20)/(28)

[tex]v_{2}[/tex] = -51.5 m/s

The second particle would therefore move at a speed of (-51.5) m/s.

Negative signs point in the direction of rightward motion.

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Momentum is conserved when two moving objects of equal masses collide while traveling in the same direction. The impact between cars 1 and 2 causes car 2 to accelerate.

According to the rule of conservation of momentum, absent an external force, the combined momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost. Collisions between two objects naturally fall under Newton's third law of motion. When two objects collide, forces of equal magnitude and opposite direction are applied to each object. These forces frequently result in one object gaining momentum and speeding up while the other object slows down.

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The highest position the car reaches above the bottom of the hill is 20.9m.

Solution:

U = mgh

K= 1/2 mv2

Ki+Ui = Uf

750(0.5)(400)+750(9.8)(5)=(750)(9.8)h

200+4.9=9.8h

h = 20.9 m

Frictional force refers to the force created by two surfaces contacting and sliding against each other. Several factors affect frictional forces: These forces are primarily affected by surface textures and the forces that drive them together.

Scientists don't know exactly what causes friction. However, it is thought to be caused by interactions when small bumps on the surface rub against each other. The ridges on each surface flex and exert forces on each other making the surfaces less slippery against each other.

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The kinetic energy of the cylinder rolling is 10J

Rolling on a flat surface is a solid cylinder with a mass of 5 kg and a radius of 30 cm. 2 m/s is the rolling speed of the cylinder.

Due to frictional forces, when you slide an object over a surface (like a book over a table), it usually slows down quickly.

The frictional force acting provides the torque necessary for the object to begin rolling by causing it to change its angular momentum.

A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion.

The type of motion could be vibration, rotation about an axis, translation (or motion along a path from one place to another), or any combination of these.

[tex]K.E=mv^2/2[/tex]

=[5 x 2 x 2]/2

=10 J

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The work required to stretch the spring from 12 cm to 19 cm is 0.91 J

When an object is moved across a specific distance by an external force, work is the quantity of energy that is transmitted to the object.

According to the given information

Natural length = 12 cm

Stretched length = 26 cm

Change in length ( x ) = 26 - 12 = 14 cm = 0.14 m

Force required = 26 N

It is known to us that spring force F = K x

K = [tex]\frac{F}{x}[/tex]

K = [tex]\frac{26}{0.14}[/tex]

K = 185.7 N/m

This is the stiffness of the spring

Now the Force that is required to stretch the spring F = K[tex]x_{1}[/tex]

[tex]x_{1}[/tex] = change in length of the spring = 19 - 12 = 7 cm = 0.07 m

F = 185.7 × 0.07

F = 13 N

Now the work that is done in stretching the spring W = F × [tex]x_{1}[/tex]

W = 13 × 0.07

W = 0.91 J

The work required to stretch the spring from 12 cm to 19 cm is 0.91 J

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The emf induced in the coil is 4.0x10-4 V.

Given data :

The induced emf is ε = - d/dt (BA cos θ).

Apply the formula ,

induced emf is ε = - d/dt (BA cos θ).

= - 4.0x10-5 /  5x10-5 x 0.10 = 4.0x10-4 V.

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A lab technician uses laser light with a wavelength of 640 nm to evaluate a diffraction grating, and this particular grating has 195.31 lines per millimeter.

Its wavelength is 640 nm.

L=40.8 cm The distance between the grating and the screen

The first dazzling fringe is six centimeters away from the centre of the order for laser light. According to the deduced results from Young's experiment, which tie the order of bright fringes to the central order,

With the approach of laser light is small-angle approximation, y = m(wavelength)(L)/d and d = m()(L)/y

Using the value d= 1*640*10^-9*0.48/0.06m = 5.120*10^-9 as a starting point

The line density is 1/d = 1/5.120*10^-9, or 195.31 lines per millimeter.

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