An olympic-size pool is 50. 0 m long and 25. 0 m wide. How many gallons of water (density = 1. 0 g/ml) are needed to fill the pool to an average depth of 4. 8 ft?.

The distance travelled by Zak before stopping was 1.84 m.

The force that resists the sliding or rolling of one solid object over another. Frictional forces, such as the traction needed to walk without slipping, may be beneficial, but they also present a great measure of opposition to motion.

Coefficient of Friction = k = 0.250

Zak's speed = v = 3 m/s

Acceleration due to gravity = g = 9.8 m/s²

Work done by frictional force is given by,

= W = ΔKE

= kmgd = (1/2)mv²

= d = v² / 2gk

= d = 3² / 2 X 9.8 X 0.250

= d = 1.84 m

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The radius is 180020 m and the velocity of the star is 5652628 m/s.

Mass of star = m = 2 X 10³⁰ Kg

Radius of star = 3.5 X 10⁸ m

The star rotates around the sun every 35 days.

Time period = t = 35 X 24 X 60 X 60 = 3024000 s

The final time t' = 2 s

Since, angular momentum L is conserved in this process. We can use the formula =

= L = ωI

Here, I = moment of inertia

= I = (2mr²)/5

Thus,

= L = ω X (2mr²)/5

= L = (2mr²)/5 X (2π/t)

= L = (4πmr) / 5t

Now, since L (initial) = L' (final),

= (4πmr) / 5t = (4πmr) / 5t'

Hence,

= (r²/t²) = (r'²/t'²)

Which means,

= r' = r X √(t'/t)

= 7 X 10⁸ X √(0.2/3024000)

= 1.80020 X 10⁵

= 180020 m

And we calculate the velocity of a point on the equator by dividing the final circumference over the final period:

= v = c/t

= v = 2πr'/t'

= v = 2π X 180020/0.2

= v = 5652628 m/s

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The complete question:

During most of its lifetime, s star maintains an equilibrium size in which the inward force of gravity on each atom is balanced by an outward pressure force due to the heat of the nuclear reactions in the core. But after all the hydrogen fuel is consumed by the nuclear fusion, the pressure force drops and the star undergoes a gravitational collapse until it becomes a neutron star. In a neutron star, the electrons and protons of the atoms are squeezed together by gravity until they fuse into neutrons. Neutron stars spin very rapidly and emit intense pulses of radio and light waves, one pulse per rotation. These pulsing stars were discovered in the 1960's and are called pulsars.a) A star with the mass (M=2.0x10^30 Kg) and size (R=7.0x10^8 m) of our sun rotates once every 35 days. After undergoing gravitational collapse, the star forms a pulsar that is observed by astronomers to emit radio pulses every 0.10 s. By treating the neutron star as a solid sphere, deduce its radius.b) What is the speed of a point on the equator of the neutron star? Your answer will be somewhat too large because a star cannot be accurately modeled as a solid sphere. Even so, you will be able to show that a star, whose mass is 10^6 larger than the earth's, can be compressed by gravitational forces to a size smaller than a typical state in the United States!

The specific heat capacity is 250 J/kg.°C

The amount required to increase a temperature per unit of mass is known as specific heat capacity. It is a constant having various values depending on the substance.

Using the formula for heat capacity:

ΔQ = mcΔT

ΔQ is the heat capacity, unit is in Joules (J)

m  is the mass, unit is in kg

c  is the specific heat capacity, unit is in J/kg.°C

ΔT is the change in temperature, unit is in °C

ΔT = T₂ - T₁

where

T₂ final temperature, unit is in °C

-T₁ initial temperature, unit is in °C

For the given information:

ΔQ =  1.00*10^4 Joules (J)

m = 2 kg

c  = c J/kg.°C

ΔT is the change in temperature, unit is in °C

ΔT = T₂ - T₁ = 40 - 20 = 20 °C

Thus from ΔQ = mcΔT

1.00*10^4  = 2 x c x 20

c =  1.00*10^4  / 40 =  250 J/kg.°C

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Here is the energy that is left after the quantity of energy is transformed: 750 j of electrical energy is changed into 400 j of kinetic or mechanical energy, which is then turned into 0.32 j of efficient energy.

To run the fan, electrical energy is utilized.

Here, under the specified circumstances, 750 J of electrical energy is utilized to operate the fan, which is transformed into 400 J of kinetic energy. As a result, 350 J of energy is wasted due to various frictional and resistive losses.

Therefore, we may conclude that only 400 J of the 750 J available energy is used to power the fan, with the remaining energy being wasted as a result of friction.

Additionally, we can state that this fan's effectiveness will be

n = Useful ÷ Total

n = 400 ÷ 750

n = 8 ÷ 25

n = 0.32

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Three alpha particles are lost.

The process by which unstable nuclei emit radiation and lose energy  is called radioactive decay. If a material contains an unstable core, it is considered radioactive.

There are three basic types of radioactive decay, Decay of alpha, beta and gamma. Radioactivity can be measured by counting decays per second.

Explanation:

Six protons are lost when atomic number 88 decays to atomic number 82.

The following explains whether the radioactive decay process leads to the loss of six protons.

1. One Alpha and  one beta particles: Alpha particles have two protons and beta particles have one electron. So this is not a loss of 6 protons.

2. Three alpha particles: Alpha particles have two protons. So when 3 alpha particles decay, 6 protons are lost.

3. One Alpha particle: An alpha particle has two protons, so six protons are never lost.

4. Six Beta Particles: A beta particle has 1 electron, therefore 6 protons will be gained during the decay.

Therefore, three alpha particles is correct because when three of them are lost, six protons are lost.

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Light is added in waves, and mild waves that vibrate in multiple aircraft are called unpolarized mild. Polarized mild waves, on the opposite hand, are mild waves wherein the vibrations arise in a single aircraft.

This mild travels in each vertical and horizontal directionsThe sum of the randomly orientated wave trains outcomes in a wave whose route of polarization modifications unexpectedly and randomly.

Such a wave is stated to be unpolarized. All not unusualplace reassets of mild, such as the Sun, incandescent and fluorescent lights, and flames, produce unpolarized mild.The unpolarized mild of Intensity I 0 is incident on a polarizer then a polarized mild at depth I 0 /2 comes out.Intensity of transmitted beamI t =I 0 /2cos 2 forty five from the system I=I 0 cos 2 θI t = 2I 0 × 21 = 4I 0.

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The heaviest invertebrate is the giant squid, which is estimated to have a weight of about 0.34 tons spread out over its length of 33 feet has the weight of 3332N.

While mass is the most fundamental characteristic of matter and one of the fundamental quantities in physics. Mass is a term used to describe how much matter is there in a body. The kilogram is the SI unit of mass (kg).A body's mass does not alter at any point in time. only in rare instances where a significant quantity of energy is supplied to or taken away from a body. A nuclear reaction, for instance, results in the mass of the substance being reduced as a very little amount of matter is transformed into a very large amount of energy.

Weight gauges how much gravity is pulling on a body.W = mg is the weight formula. Since weight is a force, it has the same SI unit as a force, which is the Newton (N). When we look at how weight is expressed, we can see that it depends on both mass and the acceleration caused by gravity; while the mass may not vary from one location to another, the acceleration caused by gravity does.

Use the following conversion factors

1 ton = 1000 kg

mass = 0.34 tons = 0.34 x 1000 kg = 340 kg

We know w  = mg = 340 x 9.8 = 3332 N

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Answer:

a = 32^2 / 56 = 2.29 m/s^2.

Explanation:

To find the car's centripetal acceleration, we need to use the formula a = v^2 / r, where a is the centripetal acceleration, v is the speed of the car, and r is the radius of the curve.

In this case, the car's speed is 32 m/s and the radius of the curve is 56 m, so the centripetal acceleration would be a = 32^2 / 56 = 2.29 m/s^2.

The current changed to produce a 60 v emf in the inductor is 5.0 A/s

ε=−L(di/dt), we may obtain the desired induced emf by setting

(di/dt) = -ε/L = 5.0

An inductor is a passive electronic component that temporarily stores energy in a magnetic field when electric current flows through the inductor's coil.An inductor is defined as a passive component that is used in most electrical circuits to store energy in the form of magnetic energy when electric current flows through it. It is also known as the coil, choke, or reactor. It is a two-terminal electrical component that is characterized by its inductance.

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light of wavelength 3.19 mm strikes and is absorbed by a molecule this will alter the atomic energy of the molecule.

Rotational strength: kinetic strength related to the rotational movement of molecules. Vibrational strength: the oscillatory movement of atoms or agencies of atoms inside a molecule (capacity strength ↔ kinetic strength exchange).

Electronic strength: strength saved as capacity strength in excited digital configurations .A molecular vibration is worked up whilst the molecule absorbs strength, ΔE, similar to the vibration's frequency, ν, in line with the relation ΔE = hν, wherein h is Planck's constant. A essential vibration is evoked whilst one such quantum of strength is absorbed through the molecule in its floor state.

The first strength degree is likewise referred to as degree 'K'. The 2d degree is referred to as degree L, 1/3 strength degree as M, and so on. Electrons withinside the outermost strength degree also are referred to as Valence electrons. Various residences of atoms are primarily based totally on those valence electrons.

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Answer:

Resultant vector is a single vector that produces the same effect as is produced by a number of vectors collectively. 

The weight, drag, and lift are the forces. Actually, lift and drag are two parts of a single aerodynamic force that acts on the ball. Lift acts perpendicular to the motion, while drag occurs in the opposite direction.

What forces are at work when a ball is launched?

Therefore, the drag force, which is essentially air resistance, slows the ball as it moves ahead, the Magnus Force, which curves the ball away from its primary flight path based on its spin, and the gravity force all act on any thrown ball.

How does the gravitational pull affect baseball movement?

The ball moves downhill due to gravity, drag, and the Magnus force. That depends on the pitch, I suppose. The Magnus effect creates a force perpendicular to the motion of the ball in the direction of the spin as it spins in its flight path as pressure fluctuations build on it.

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The acceleration of the baseball is found to be 6000m/s².

(final velocity - starting velocity) / time elapsed = acceleration = a

a = (0-30)/.005 = -6000 m/s2 (negative sign suggests the ball is slowing down) (negative sign means the ball is slowing down)

we know, from the second law of newton, the average force on the ball will be,

Force = F = mass x acceleration = ma

F = (0.145 kg)(6000 m/s2) = 870 N distant from the ball thrower

The amount of the force on the catching player is the same, 870N. The mitt exerts an equal and opposing force on the ball (Newton's Third Law of Motion).

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Answer: Scale factor = Dimension of the new shape divided Dimension of the original shape.  

Explanation:

I hope this helps

The tension in the string is 4.62N

When an external force operates at one of the ends of a rope or string, tension, a form of force (pulling force), emerges down the length of the string or rope. The string's tension has an opposing effect to the external force. One type of force is the tension in a rope. Therefore, the units of tension are equivalent to the units of force.As a result, the CGS unit is dyne while the SI unit of tension is Newton (N).Using the three tension force formulas mentioned above, it is simple to determine a rope's tension at mechanical equilibrium.

Given

m = 0.10

l = 0.75

t = 0.80

v = 2πr/t

tension, T = mv^2/t = 4.62 N

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The universe had grown and cooled to the point where electrons could join nuclei to create neutral atoms.

Unknown is the true size of the cosmos. But by measuring the observable cosmos, we may determine that the universe is currently about 95 billion mild years long.

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the effort necessary to move a object along the designated oriented curve. regarding the parabola from it to 16

Work is the process of transmitting energy into a target item to cause some displacement. The definition of energy is the capacity for work. The work produced is consistent. There are many different types of energy, including kinetic energy and potential energy.

There are three different types of job that can be categorized. They are productive work, productive work, and productive work. The relationship among force and displacement has an impact on the type of job. Positive work is the kind of work that occurs when an applied force moves an object in that direction.

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Mobile phones transmit and receive signals using electromagnetic waves, that is, wireless signal are electromagnetic waves which can travel through a vacuum, they do not need a medium or matter.

They are generated by electrical and magnetic particles moving at the same time (oscillating).

Characteristics of electromagnetic waves

Network waves are electromagnetic waves.

A mobile phone has coverage when it receives electromagnetic waves from at least one base station.

They do not necessarily require a material medium for their propagation.

Therefore, we can conclude that electromagnetic waves are those that do not need a material medium to propagate and include, among others, radio, television and telephone waves.

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When a heavy metal block is supported by a cylindrical vertical post of radius r, it exerts a force f on the post. if the diameter of the post is increased to 2r, F force does the block now exert on the post.

A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate as it increases its velocity, like when it moves away from rest. A simple way to express force is with a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is computed using the SI unit of newton (N). F is the symbol for force. (formerly P). The net force exerted on an object is equal to the rate at which its momentum varies over time, according to the original formulation of Newton's second law. According to this law, if an object's mass remains constant, its acceleration should be inversely proportional to the mass of the item and directly proportional to the net force acting on it. Concepts related to force include thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which alters an object's rotational speed.

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True, in the activator stage of physical activity you are active but participate inconsistently.

Physical activity is described as any voluntary bodily movement produced by skeletal muscles that requires energy expenditure which encompasses all activities, at any intensity, performed during any time of day or night.

The stages of physical activity includes :

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Complete question:

In the activator stage of physical activity you are active but participate inconsistently.

True or False?

Torque Angle is the misalignment of synchronous motor in the stator field and  the rotor field

Torque  Angle: the force used to tighten a bolt or nut. the degree of rotational movement of a bolt or nut. Between the pivot point and the location where the force is applied, measure the distance, r. Calculate the angle between the vector connecting the force's application point and the pivot point and the direction of the applied force. You may calculate the torque by multiplying r by F and sin. Angle refers to the amount of rotation a fastener makes while being tightened and measured for torque.

For example, if a Torque Wrench was to turn and tighten a bolt in one full rotation, this would be 360 degrees. For the d.c. machine, a torque angle of 90° is the normal condition, with field and armature m.m.f.s maintained in quadrature by the angular-position switching action of brushes and commutator.

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The linear momentum of the object has a mass of 100 kg moving at 5 m/s = 500 kg m/s.

Momentum is a quantity that shows the size of the difficulty to stop the motion of an object. If the object is stopped, it requires work equal to the change in mechanical energy.

Linear momentum is related to straight motion and is the product of the mass of the system times its velocity.

The linear momentum equation is:

p = mv

Where,

p is the linear momentum

m is the mass of the object in motion, and

v is the velocity of the object.

We have,

Mass of the object = 100 kg

The velocity of the object = 5 m/s

So, the linear momentum of the object is:

P = (100) (5)

= 500 kgm/s

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The length of the box that absorbs the light is;

L =6.74 × 10^(-10) m

Given;

Longest wavelength of spectrum; λ = 500 nm = 500 × 10^(-9) m

The formula for energy of quantization is;

E = h²n²/8mL²

Also, Energy of a photon is;

E = hc/λ

Thus;

hc/λ = h²n²/8mL²

h will cancel out to give;

c/λ = hn²/8mL²

Where;

h is Planck's constant = 6.626 × 10^(-34) m².kg/s

c is speed of light = 3 × 10^(8) m/s

λ is wavelength = 500 × 10^(-9) m

L is length of box

m is mass of electron = 9.11 × 10^(-31) kg

n² is difference in energy levels = (2² - 1²) = 3

Making L the subject gives;

L = √(hn²λ/8mc)

Thus;

L = √((6.626 × 10^(-34) × 3 × 500 × 10^(-9))/(8 × 9.11 × 10^(-31) × 3 × 10^(8))

L = √(4.5458287596 × 10^(-19))

L = 6.74 × 10^(-10) m

The electron is a subatomic  particle with a bad one standard electric charge. Electrons belong to the primary technology of the lepton particle own family, and are typically thought to be fundamental particles because they have no recognized additives or substructure.

For most realistic purposes, an electron is a structureless particle with an intrinsic angular momentum, or spin. simply two numbers — the electron's mass and its electric price — gasoline the equations that describe its behaviour. From this 'sensible electron' version, physicists constructed present day microelectronics.

By using the best values for the wave-length and the scattering by matter of tough X-rays and ?-rays, the radius of the electron is anticipated as approximately 2 × 10^-10 cm.

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The correct answer is, length = 6.74 × 10⁻¹⁰ m

Data given to us;

Longest wavelength of spectrum; λ = 500 nm = 500 × 10⁻⁹ m

The formula for energy of quantization is;

E = h²n²/8mL²

Energy of the proton can be calculated by

E = hc/λ

hc/λ = h²n²/8mL²

c/λ = hn²/8mL²

Where;

h = Planck's constant = 6.626 × 10⁻³⁴ m².kg/s

c = speed of light = 3 × 10⁸ m/s

λ = wavelength = 500 × 10⁻⁹ m

L = length of box

m = mass of electron = 9.11 × 10⁻³¹ kg

n² = difference in energy levels = (2² - 1²) = 3

We can find the length easily by the above formula,

L = √(hn²λ/8mc)

L = √((6.626 × 10⁻³⁴ × 3 × 500 × 10⁻⁹)/(8 × 9.11 × 10⁻³¹× 3 × 10⁸)

L = √(4.5458287596 × 10⁻¹⁹

L = 6.74 × 10⁻¹⁰ m

Therefore, the length of the box is 6.74 × 10⁻¹⁰ m.

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The new centripetal force becomes one fourth of the original force. Hence, this is the required solution.

A centripetal force is a net force that acts on an object to keep it moving along a circular path.

Centripetal and centrifugal forces are the forces experienced by rotating objects. The centripetal force keeps an object moving in a circle and is always pointed toward the center of that circle. For instance, the gravitational force of the sun is a centripetal force that keeps the Earth orbiting around it.

In the special case of the Earth's circular motion around the Sun or any satellite's circular motion around any celestial body the centripetal force causing the motion is the result of the gravitational attraction between them.

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It makes sense to assume further that greater net force has improved the cart's ability to transmit energy, thereby permitting it to travel with the alike speed.

This may be the result of less resistance among the cart and even the track or better track construction which enables to achieve a more seamless transmission of energy.

It makes sense to assume that the cart's mass has decreased. This implies further that carts with both the smaller mass could now experience nearly identical resultant force, and this is equivalent towards the object's mass x its speed

An explanation in detail:

1. The net pressure applied on an item is proportional to the object's mass x its speed.

2. Reducing the mass of such a cart will boost the net force pressing upon that cart.

3. When the cart's mass is decreased, relatively similar number of net force could then be applied to the carts including a lower weight.

4. Consequently, despite the cart's lower mass, identical acceleration can somehow be attained.

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The quantity which is zero when the ball is at the highest point y of the path is The horizontal component of the ball's acceleration.

This is the question of simple oblique projectile as the air resistance is zero it becomes a very ideal case. In a projectile the acceleration due to gravity is always acting downwards so, vertical component can never be zero, if we talk about the velocity if it becomes zero, the ball should fall on the spot so the horizontal acceleration which would be zero at the highest point as now the ball will travel only with the velocity it has acquired till now and there qould be zero acceleration.

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A constant flux travels through the secondary coil as a result of the battery's production of a constant current in the first coil. There is no induced voltage across the secondary coil if the flux through the secondary coil remains unchanged.

The value of induced current depends on the change in the flux which is produced due to the change in current in the primary coil, since the voltage is constant the current across the coil is also constant which results in 0 change in flux across the secondary coil which will result in no voltage.

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The velocity of light, defined as c = 3.00 108 m/s, is the proportion of the strength of something like the electrostatic potential towards the magnetism of such an electromagnetic field travelling through with a suction.

As an electromagnetic radiation traveling out via a suction, this electrical course's amplitude divided either by magnetism field's intensity equals the velocity of light, c.

Two distinct elements make up an electromagnetic wave are really the electromagnetic current and indeed the magnetosphere. In the same way in which the gravitational flux is an unit vector that represents the pressure the waves exerts on ferromagnetic materials, the electrostatic force is an unit vector that represents the pressure the waves exerts on energetic particles.

The rate of a wave's movement throughout a vacuum is directly proportional to the speed of lights, or c. This is equivalent to the proportion of the magnetism field's to electrical field's rate of transmission. These two fields should proceed at exactly the same velocity, or the rate of light, in order to travel as electromagnetic fields simultaneously.

As a result, the electrostatic force to strong magnetic ratio for something like an electromagnetic radiation traveling across suction is equal to the velocity of lights, c.

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a = 7.35 m/s ²

Terminal velocity is highest velocity which is attained by the object when it is falling through air.

we know that at terminal velocity

a=g

here g = 9.8m/s

The formula,

ma = mg - m(1/2)²g

a = g (1 - 1/4)

a = 3/4 g

a = 3/4 X 9.8

a= 7.35 m/s ²

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The frequency and the period of light waves with wavelength of  5.50 x10⁻⁷ m is 5.45 x 10¹⁴ Hz and 1.83 x 10⁻¹⁵ second, respectively.

The relation between the speed of an electromagnetic wave, its frequency, and wavelength is given by:

c = λ · f

Where:

c = speed of the electromagnetic wave =  3.00 x 10⁸ m/s

λ = wavelength

f = the frequency of the  electromagnetic wave

In the given problem:

λ = 5.50 x10⁻⁷ m.

Hence,

a) its frequency:

   f = c / λ

     = 3.00 x 10⁸ / 5.50 x10⁻⁷ = 5.45 x 10¹⁴ Hz

b) its period

   T = 1/f = 1.83 x 10⁻¹⁵ second

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Rutherford’s experiment with gold foil is known as gold foil experiment.

Gold-foil experiment:

Conclusion of Rutherford's model of an atom:

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