a double-slit interference pattern is observed on a screen 1.0 m behind two slits spaced 0.30 mm apart. from the center of one particular fringe to the center of the ninth bright fringe from this one is 1.6 cm. what is the wavelength of light?

The effective spring constant for the web, which behaves like a spring, is 20N/m

The speed of the train is,

v=80 km/h

 = 80 km/h(1000m/1km)(1h/3600s)

 =22.2 m/s

From the law of conservation of energy, the initial kinetic energy of the train should be converted to the elastic potential energy of the web before stopping the train.

[tex]K_{train} = U_{web}[/tex]

1/2 * m * v² = 1/2 * k * x ²

k = (m * v ²)/(x ²)

= ((10⁴kg) * (22.2m / s) ²)/((500m) ²)

= 19.7N / m = 20N / m

One of the four temperate seasons, commonly referred to as spring or springtime, spring follows winter and comes before summer. There are several technical definitions of spring, but how the term is used locally depends on the local climate, culture, and customs. Autumn occurs in the Southern Hemisphere when spring does in the Northern Hemisphere, and vice versa.

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Supermassive black holes astronomers believe to be driving activity in the centers of galaxies.

A galaxy is a device of stars, stellar remnants, interstellar gas, dust, and darkish count, sure together with the aid of gravity. The phrase is derived from the Greek galaxies, actually 'milky', a connection with the Milky manner galaxy that incorporates the solar system. Galaxies, averaging an envisioned a hundred million stars, range in length from dwarfs with much less than one hundred million stars, to the most important galaxies acknowledged – supergiants with one hundred trillion stars, each orbiting its galaxy's center of mass. most of the mass in a typical galaxy is within the form of a darkish count number, with just a few percentages of that mass seen within the form of stars and nebulae. Supermassive black holes are a commonplace feature in the centers of galaxies.

the gap among galaxies is filled with tenuous gasoline (the intergalactic medium) with an average density of much less than one atom consistent with a cubic meter. most galaxies are gravitationally prepared into businesses, clusters, and superclusters. The Milky way is part of the nearby organization, which dominates alongside the Andromeda Galaxy.

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Answer:

19.6 m

Explanation:

Start with the physics distance formula

df = do + vo t + 1/2 a t^2    

    do = original position = 0   vo = origianl velocity = 0   (starts at rest)

so this becomes    d = 1/2 a t^2

                                   = 1/2 ( 9.81 m/s^2) (2 s)^2 = 19.6 m

The response is provided as follows: Gold large weight 100 g, M 250 g, 50 g, 100 g, and 250 g for the colors magenta and blue, respectively.

The number of matter that makes up every object or body is the greatest way to understand mass. Everything that we can see has mass. For instance, even air has mass, as does your bed, a baseball, a glass, and just a chair.

Although the terms "mass" and "weight" are frequently used interchangeably, they have very different meanings. Anywhere you go with in universe, your mass remains constant; nevertheless, your weight varies with location.

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The liquid has a density of 0.789 g/cm². The density can be found from the equivalent of the buoyant force and the force o object's weight.

According to Archimedes principle, the buoyant force, also called the upward force, is equal to the weight of a fluid displaced by an object. It can be expressed

Fb = ρgV

We have a 6.00-cm-diameter sphere with a mass of 89.3 g. It is neutrally buoyant in a liquid.

Since the sphere is buoyant in the liquid, the force of the ball's weight equals to the buoyance force of the sphere.

Fw = Fb

Remember that the volume of a sphere is

V = 4/3 πr³, where r is a half of the diameter.

Then, we get the density of the fluid.

mg = ρgV

m = ρV

89.3 = ρ (4/3 π × 3³)

89.3 = 113.14ρ

ρ = 0.789 g/cm²

Hence, the fluid which the ball is buoyant in has a density of 0.789 g/cm².

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If a 77-kg gymnast climbs a rope at a constant speed, the tension in the rope will be 755.37N. The term "constant speed" or "uniform rate" refers to a fixed rate of movement or at  constant speed.

It is also possible to refer to tension as the action-reaction pair of forces acting at each end of the aforementioned elements. Tension is defined as the pulling force transmitted axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other comparable three-dimensional object. Compression's antithesis might be tension.

T = mg; T- mg = 0

T = 77*9.81

T = 755.37N

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The net force on the sled which is pulled by the tooth children is 14 Newton in the east direction.

Two children are pulling the sled in opposite direction because of the disagreement.

One of the child is pulling the sled with a force of 200 Newton in the east direction and the other is pulling the sled with the force of 175 Newton in the West direction and affection force of 10 Newton is existing between the slid and the surface.

The net force on the slide can be given by,

F = 200-150-10

F = 40N

So, the net force on the slide is 40 Newton in the east direction.

Here. we directly subtracted the force because the direction of the forces was opposite of each other and the friction also acts in the direction opposite of the motion of the object.

So, the net force on the sled is 40 Newton.

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An astronaut of mass 60 kg is walking on the surface of a new planet. If their weight (in N) is twice their weight on earth,  the mass of the planet if it has the same radius as earth (R earth = 6.37 x [tex]10^{6}[/tex] m) is 11.94×[tex]10^{24}[/tex] kg.The mass of earth is 5.97 x [tex]10^{24}[/tex] kg.

For earth:-

mass=[tex]m_{e}[/tex]

radius=[tex]R_{e}[/tex]

mass of astronaut,M=60 kg

Gravitational force,[tex]F_{e}[/tex]=G[tex]\frac{m_{e}M }{R_{e} ^{2}}[/tex]         (1)

For planet:-

mass=[tex]m_{p}[/tex]

radius=[tex]R_{e}[/tex]

[tex]F_{p}[/tex]=G[tex]\frac{m_{p}M }{R_{e} ^{2}}[/tex] , [tex]F_{p}[/tex]=2[tex]F_{e}[/tex]                          (2)

Dividing equation (2) by equation (1),we have

     [tex]m_{p}[/tex]=2[tex]m_{e}[/tex]=2×5.97×[tex]10^{24}[/tex]=11.94×[tex]10^{24}[/tex] kg

Gravitational force is a force exerted by the earth on all objects on it. When a ball is thrown up, it falls to the ground because of gravitational force.

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In scenario a, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.

v = ν λ

v = Wave speed

λ = Wavelength

ν = Frequency

λ = 690.4 nm

Since the wave considered here is visible light,

v = c = 3 * 10⁸ m / s

ν = v / λ

ν = 3 * 10⁸ / 690.4 * 10⁻⁹ m

ν = 434.53 * 10¹² Hz

ν = 434.53 THz

E = h ν

E = Energy

h = Planck's constant

ν = Frequency

h = 6.626 * 10⁻³⁴ J s

E = 6.626 * 10⁻³⁴ * 434.53 * 10¹²

E = 2879.19 * 10²² J

E = 28.79 * 10²⁴ J

E = 28.79 YJ

Therefore, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.

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The work done by gravity= 163.17 J, change in kinetic energy=186.2J, the final velocity=93.67m/s

define kinetic energy ?

In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes. The body does the same amount of work while slowing down from its current pace to rest. Formally, kinetic energy is any term in a system's Lagrangian that contains a time derivative.

a) work done by the gravity was

w=mg x (5.55) sin 17.5

=10x9.8x5.55x0.300

=543.9x0.300

=163.17 J

therefore the work done by gravity was 163.7 J

b)change in kinetic energy

Δu=(0.4)x(10)x(9.8)x(cos17.5)x(0.005)

=0.4x10x9.8xcos17.5x0.005

=0.4x10x9.8x0.95x0.005

Δu=186.2 J

c) speed of the cart after being pulled by the crate was

mass of the crate=10kg

initial speed=1.50

force=100 N

coeff. kinetic energy=0.4

distance=5.55m

frictional force N=mgcosФ

=0.4x10x9.8xcos17.5

=8.58

effective force = (100-8.58)

=91.42

acceleration=91.42/10

=9.142

the final velocity=u^2+2as

=1.5^2+2 (9.142)5

2.25 +2(45.71)

2.25+91.42

=93.67

therefore the final velocity=93.6m/s

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The frequency is given by f = (1/(2))k/m.

While moving in the opposite direction, the acceleration, a = -2x, is proportional to the displacement. Motion that is accelerated is simple harmonic motion. If an item moves in a simple harmonic manner, a force must be exerted on it. F = ma = -m2x is the formula for force.

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 length of the vibration path divided in half.

The height of a wave's crest or trough measured from the center line (or the stationary position) is known as the amplitude ().

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Answer:

[tex]\huge\boxed{\sf R = 50\ ohms}[/tex]

Explanation:

Equivalent Resistance = [tex]R_T[/tex] = 150 Ohm

Resistance of one lamp = R = ?

[tex]R_T[/tex] = R + R + R

150 = 3R

Divide 3 to both sides

50 ohms = R

R = 50 ohms

[tex]\rule[225]{225}{2}[/tex]

The momentum of the dog is 50 kg·m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Mass of the  corgi dog: m = 10 kg.

Velocity of the dog; v = 5 m/s.

We have to find: momentum of the dog: p = ?

We know that: momentum = mass × velocity

= 10 kg × 5 m/s.

= 50 kg·m/s.

Hence, momentum of the corgi dog is 50 kg.m/s.

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Only dense materials might condense during the formation of terrestrial planets; this is not the case with jovian planets.

The ones that couldn't condense dense materials are huge and gaseous and found further from the star, which is why they are rocky and smaller.

The main distinction is that while Jovian planets are predominantly formed of less dense hydrogen and helium, terrestrial planets are primarily made of rock, which is even more dense.

The density of a planet depends on its make-up. In contrast to the four outer planets, the four inner terrestrial planets are denser. Rock that is hard and thick makes up the majority of the inner planets. Since gas makes up the majority of the outer planets, their total density is lower.

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The window space has an acoustic power of 160 or less. The quantity of energy that is transported or transformed through time is referred to as power in physics

Force is the principal result of an interaction between two things, whereas power is a measurement of energy consumed over time (energy), of which force is a component. Power and push can both be measured and expressed, but only a force is a true physical phenomenon.

The capacity to influence your surroundings is referred to as personal power. Reward power, coercive, legal power, formal authority, and referent power are the five categories of power that can be used to achieve this.

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The amount of energy stored in a 2.70 cm diameter, 12.0 cm long solenoid that has 200 turns of wire and carries a current of 0.780 A is 7.27 x 10⁻⁵ J.

The self-inductance of a coil is equal to the sum of the magnetic flux surrounding a coil per unit electric current flowing through the coil.

To determine the energy stored of long solenoid, use formula:

W = ½ L I²

We have,

I = 0.780 A

d = 2.70 cm

L = 12.0- cm

N = 200

Find the cross sectional area (A) first,

A = π x (½ d)²

= π x (0.0135)²

= 5.72 x 10⁻⁴ m²

Next, find the inductance (L) of the solenoid:

L = (μ₀N²A)/L

= {(4π x 10⁻⁷) (200)² (5.72 x 10⁻⁴)} / 0.12

= 23.9 x 10⁻⁵ H

So, the energy stored is:

W = ½ L I²

= ½ (23.9 x 10⁻⁵) (0.780)²

= 7.27 x 10⁻⁵ J

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Yes, the car has velocity which is perpendicular to the radius of the curve.

Velocity is nothing but quantity that designates how fast and in what direction a point is moving. A point always moves in a direction that is tangent to its path; for a circular path, for example, its direction at any instant is perpendicular to a line from the point to the center of the circle.

Here, the car is traveling at 25 mph around the curve, so it has a tangential velocity. Also, the tangential velocity is constantly changing in direction so the car can go to curve and not moving forward in a straight line, there should be a centripetal force acting and the velocity is perpendicular to the radius.

A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body.

hence the car is having velocity which is perpendicular to the radius of the curve.

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The speed of the sound depends on the density and the elasticity of the medium through which it travels.

Medium pressure and temperature Sound waves move more quickly at higher temperatures because molecular vibrations happen more frequently there. At constant temperature, the pressure of a medium has no effect on the sound's speed.

The density and elasticity of the medium through which sound travels affect how fast it travels. In general, sound moves more quickly through solids and gases than through liquids. Sound travels through a medium more quickly the more elastic it is and the less dense it is.

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The effect that distance has on the force of gravity is that increasing the distance between two objects decreases the gravitational force and is denoted as option C.

This is a term which is referred to as the universal force of attraction acting between all matter and the formula is F = Gm1m2/r² .

The force of gravity has an inverse relationship with the distance of the objects. This therefore means that increasing the distance between two objects decreases the gravitational force and vice versa which is therefore the reason why option C was chosen as the correct choice.

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If the clock is running too fast, the weight needs to be moved down in order to increase the period and decrease the angular frequency, option B.

For small maximum distance moved by a point or wave measured from it equilibrium position, the period of a physical pendulum depends only on the immobility of the body around the pivot point and the distance from the center of mass of the body.

To slow down a fast clock in this experiment, the weight is moved down which increases at the distance between the pivot and the center mass (period) and decreases the angular velocity/frequency.

The complete question is:

A simple pendulum is used as the timing element in a clock as shown. an adjustment screw is used to make the pendulum shorter (longer) by moving the weight up (down) along the shaft that connects it to the pivot.

1)if the clock is running too fast, the weight needs to be moved

a. Up

b. Down

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The Wavelength of light is D=2.06m.

A slit with a width of 0 point 630 mm diffracts a monochromatic light beam. 1 point 26 meters away from the slit, a wall develops a diffraction pattern. The central maximum measures 2 point 05 millimeters in width.

To find the wavelength of the light consider following points-

d=0.450mm=0.450×10⁻³m.

D=2.06m.

Reasoning -

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Take the free-fall acceleration to be gg = 9.80 m/s2m/s2.

In geometry, a round shell is a generalization of an annulus to three dimensions. it's far the area of a ball among concentric spheres of differing radii.

A round shell is an area among two concentric spheres of differing radii while a sphere is a spherical strong determine, or its floor, with every factor on its surface equidistant from its center. example: A stable cylinder of glass, the radius of whose base is 9cm and the peak is 12cm, is melted and changed into a sphere.

Something spherical is like a sphere in being round, or extra or less spherical, in 3 dimensions. Apples and oranges are both spherical, for example, despite the fact that they're in no way flawlessly round. A spheroid has a more or less spherical shape; so an asteroid, for instance, is regularly spherical, however lumpy.

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Suppose we see evidence of helium gas in the atmosphere of an exoplanet, the true statements is A."it has more surface gravity than Earth, or is much colder"

An exoplanet, also known as an extrasolar planet, is a planet that exists outside of the Solar System. The first possible evidence of an exoplanet was discovered in 1917, but it was not recognized. The first detection confirmation occurred in 1992. A different planet, first discovered in 1988, was confirmed in 2003.

Similarly to how we continue to explore the unknowns of the world in search of resources to meet our needs, research into new materials and species will all benefit the most common problems we face, such as energy resources, medical needs, and cures for incurable diseases.

Before we knew about exoplanets, we spent all of our research time learning about our own solar system and how the planets formed. Exoplanet observations allow us to determine whether or not we actually understand those processes, even in our own solar system.

It is important to know that once helium is released into the atmosphere, it typically rises till it escapes into the space. In this situation, it illustrates that exoplanet will have more surface gravity.

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Assume that the electric field between two points that are 4 meters apart has a 14 volt/m potential. The electric potential between the two points is 460 w (in volts).

V =Er

= 67 X 13

V =871 volts

I =q/t=8/2

I=4 Amp

P=VI

230 X 2

P=460 W

A unit of electric charge must be moved from a reference point to a specific point in an electric field, and this amount of work energy is known as the electric potential. Against an electric field, the amount of work required to move a unit charge from one point to another is known as electric potential. Although any location outside the range of the electric field charge can be used, Earth is typically used as the reference point. The external effort required to move a charge from one location to another in an electric field is known as an electric potential difference, or voltage. A test charge that has an electric potential difference of +1 will experience a change in potential energy.

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The right cap would be of the same height as the left cap.

It is said that a particle is in equilibrium when there is no net external force acting on it.

The particle is either at rest or moving uniformly, according to Newton's First Law of Motion, which we can apply to this situation.

According to physics, a system is said to be in equilibrium when neither its internal energy state nor its state of motion tend to change over time.

Concurrent forces are those that operate simultaneously at a given point. When the outcome equals zero, these forces are said to be in equilibrium.

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Speed of blood through the aorta of radius 1.19 cm is 20 cm/s

The explanation of the answer is attached below.

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Einstein would be moving at 10% of the speed of light if he were following a light beam in the same direction while moving at 90% the speed of light.

A light beam or beam of light is a projection of light energy in a specific direction that emanates from a light source. When sunlight passes through a medium like clouds, vegetation, or windows, it creates a light beam. A piece of light that is traveling along a straight line in one direction is known as a ray of light. A beam of light is a collection of light rays that emanates from a single source. Many lighting fixtures, including spotlights, automobile headlights, PAR Cans, and LED housings, use a lamp and a parabolic reflector to create an artificial light beam. The smallest possible beam divergence can be seen in the light produced by several laser types.

A natural example of a light beam that passes through many objects is sunlight (clouds, foliage, windows, etc.). Many lighting devices, like spotlights and automobile headlights, use a lamp and a parabolic reflector to create false light.

Many photons in the same condition make up coherent beams, including laser and radar beams. A light beam's photon count is more of a measurement of its brightness than of its width.

Speed of light, c = 3 * 10⁸ m / s

90 % of Speed of light = 3 * 10⁸ * 0.9

90 % of Speed of light = 2.7 * 10⁸ m / s

Relative speed = 3 * 10⁸ - 2.7 * 10⁸

Relative speed = 0.3 * 10⁸ m / s

Relative speed = 0.1 c = 10% of speed of light

As a result, if Einstein were moving at 90% of the speed of light in the same direction as a light beam, the light beam would be moving at 10% of the speed of light.

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The response of "A shell being fired at the bigger angle" fits the supplied statement.

In plane geometry, an angle is a shape made up of two directions or lines that share an endpoint. The English word "angle" derives from the Latin language "angulus," which means "corner." The vertex and the 2 rays are referenced to as the sides of an angle, respectively, and are the shared termini of two rays.

Angle names can be given in one of three ways. An angle can be identified through its vertex, by its three points (the vertex must be the middle point), or by a sequence of letters inscribed within the angle's aperture.

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