find the speed of the projectile when it arrives at the top of the rails if it starts at rest at the bottom of the rails

Answers

Answer 1

The speed of the projectile F= μο[tex]i^{2}[/tex]/2π  ㏑(1+ W/r)i^.

The projectile's path between y+dy should be considered. Equation is used to determine the magnetic force acting on the segment as well as the magnetic field of each semi-infinite wire (the top rail is known as wire 1 and the bottom rail as wire).

The field (in the region between the wires) set up by wire 1 is into the paper (the "k" direction), and that set up by wire 2 is also into the paper. The current. in rail. 1. is in the "+ i." direction, and. the current. in rail 2 is in the. " i" direction. The force element (a function of y) acting on the segment of the projectile (in which the current runs in the − j^ direction) is provided below. The coordinate. origin is  at the. bottom of the. projectile.

d F = d F1 +dF2 = idy(− j^)× B1 +dy(− j^ )× B2 =i[B 1 +B 2 ] i dy

F= μο[tex]i^{2}[/tex]/2π  ㏑(1+ W/r)i^.

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Related Questions

A liquid of constant density rho and constant viscosity μ flows down a wide, long inclined flat plate. The plate makes an angle θ with the horizontal. The velocity components do not change in the direction of the plate, and the fluid depth, h, normal to the plate is constant. There is negligible shear stress by the air on the fluid. Find the velocity profile u(y), where u is the velocity parallel to the plate and y is measured perpendicular to the plate. Write an expression for the volume flow rate per unit width of the plate.

Answers

The velocity profile u(y) is defined as V = (alpha)*g*sin(alpha)*h^3/3M, where u is the velocity measured parallel to the plate and y is measured perpendicular to the plate. The air just slightly shear stresses the fluid.

Velocity is a vector measurement of an object's rate of motion and direction of motion. The magnitude and direction must therefore be understood in order to calculate the velocity according to this criterion. It is possible to describe shearing stress, also known as shear stress, as "a type of stress that acts coplanar with cross section of material." Shear forces resulted in shear stress. They are a pair of forces that have the same magnitude and are directed in the opposite direction and operate on opposite sides of a body. A vector quantity is shear stress.

Alpha = g*sin(alpha)*h2/2M [y - y^3/3h^2]

V = (alpha)*g*sin(alpha)*h2/2M

Alpha = g*sin(alpha)*h^3/3M

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what is the typical hydrogen content (by mass) of stars that are forming right now in the vicinity of the sun? (a) 100% hydrogen (b) 75% hydrogen (c) 50% hydrogen

Answers

The typical hydrogen content (by mass) of stars that are forming right now in the vicinity of the sun is 75% hydrogen.

What is hydrogen?
The chemical element hydrogen is represented by the letter H as well as atomic number 1. The lightest element is hydrogen. Under normal circumstances, hydrogen is a gas made up of diatomic molecules with the formula H2. It is non-toxic, tasteless, colourless, odourless, and highly combustible. In the universe, hydrogen is by far the most prevalent chemical, making up about 75% of all ordinary matter. Plasma hydrogen makes up the majority of stars like the Sun. On Earth, hydrogen mostly takes the form of molecules like water and biological compounds. Each atom of hydrogen's most prevalent isotope, 1H, contains a single proton, one electron, and also no neutrons.

This is because the interstellar medium contains mostly hydrogen, which is the most abundant element in the universe. When these clouds of gas and dust collapse, they become denser and hotter, and the hydrogen atoms begin to fuse together, creating helium and other elements in the process. The resulting star is composed mostly of hydrogen, with the remaining 25% being composed of helium and other elements.

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A cart of weight 20 n is accelerated across a level surface at 0. 15 m/s2. What net force acts on the wagon? (g = 9. 8 m/s2).

Answers

The net force that acts on the cart of wagon is calculated as 3N.

What is net force?

The net force of a body can be calculated by multiplying the mass of the body by its acceleration. That is;

Force (N) = weight (N) × acceleration (m/s²)

According to this question, a weight of 20N accelerated across a level surface at 0.15 m/s². The net force can be calculated as follows:

F = 20 × 0.15

F = 3N

Therefore, the net force that acts on the cart of wagon is calculated as 3N.

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If the sun mysteriously gets twice as massive as it is right now, what effect will it have on its pull on mars?.

Answers

This can be determined by using Newton's law of gravitation. As the gravitational force between Mars and sun can be matched snd hence the sun's effect on Mars can be determined.

How to determine the gravitational force between sun and Mars?

We know, gravitational force is

F=GMmr²

The variables M and m here represent the masses of the Sun and Mars. From this relationship, we can tell that each mass is directly proportional to the force;

F ∝ MF ∝ m

Therefore, any factor that gets multiplied to either mass directly affects the force in the same way. If the sun were twice as massive, then its pull on Mars should thus also twice as much.

This, we are assuming when factors like the mass of Mars and the distance between the Sun and Mars is unchanged.

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During a protostar's T Tauri phase, it
a. begins a period of reduced activity.
b. expands dramatically.
c. may develop very strong winds.
d. changes its spin direction.
e. lies on the main sequence.
c

Answers

During a protostar's T Tauri phase it may develop strong winds.

Adolescence typically consists of four stages for a rising star. First, it starts as a protostar still shrouded in its natal molecular cloud. A very young star still gaining mass from its parent molecular cloud is known as a protostar.

The proto-stellar phase is the earliest stage of stellar evolution. As it accretes new material and a protoplanetary disc forms. The third stage, when the surrounding envelope has cleared, is called the T-Tauri phase. This is due to the gradual removal of the surrounding shell of gas and dust by stellar winds and radiation. T-Tauri stars are relatively young, less than ten million years old (the class is named after the first star of this type to be identified).

The correct option is c.

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Wind resistance created by opening windows while driving results in a fuel penalty as great or greater than is incurred by using air conditioning.
(A) as great or greater than is incurred by using air conditioning
(B) that is as great or greater than is incurred using air conditioning
(C) as great as or greater than that of using air conditioning
(D) at least as great as air conditioning's
(E) at least as great as that incurred by using air conditioning

Answers

As much redundancy as possible. A,B,C->out. D=inaccurate comparison A fuel penalty "as big as" that caused by using air conditioning is encountered when windows are opened while driving.

How much does the car resist?

The set of forces that act to prevent your vehicle from moving forward is known as rolling resistance. The degree of friction between the tires and the road, gravity, inertia, air drag, and the weight of the vehicle are all factors.

How much overall driving resistance is there?

Total resistance refers to the entire amount of force preventing a vehicle from moving, including frictional forces inside the drivetrain.

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a charge is moving north (upward) bound to a wire. the field lines associated with this current is group of answer choices points outward on the left and points inward on the right. pointing to the left pointing to the right points inward on the left and outward on the right. pointing out of the page pointing downward (south)

Answers

When the charge is moving North (upward) down to a wire the field lines associated with this current will be inward on the right and outward on the left.

According to the Right Hand Thumb Rule the direction of the magnetic field associated with the current can be given as,

By pointing of the right hand into the direction of the current, the direction of the curling of the fingers of the right hand will give the direction of the magnetic field.

So, if the charges moving north which is upward direction,

The magnetic field lines associated with the current will be in a circular manner with the right side of the magnetic field Pointing inwards and the left side of the magnetic field Pointing outwards.

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A 60kg tudent (including the hang glider) i initially traveling 26m/ to the right a he hanglide off the top of a 30m tall building. During the flight the ytem experience a 426N upward lift force and a 74N drag to the left. What i the magnitude of her vertical acceleration?

What i the magnitude of her horizontal acceleration?

How long will he remain in the air?

How far from the bae of the building will he land?

Answers

A. The magnitude of her vertical acceleration during flight is 2.7 m/s².

B. The magnitude of her horizontal acceleration during flight is - 1.23 m/s².

C. The student will remain in the air for 4.71 s.

D. The distance between the student and the building when she land is 108.78 m.

When a student uses a hang-glider from the top of a building, she goes on a path like a parabolic curve because she is doing a projectile motion.

In vertical axisTwo forces are working on her.Weight force Mass of the student = m = 60 kg
The acceleration due to gravity = 9.8 m/s²
Weight forces = w = mg = 60 × 9.8 = 588 NUpward lift force = Fy = 426 NBecause there are forces, she moves in a non-uniform motion.According to Newton's second law
∑F = ma
w - Fy = ma
588 - 426 = 60 × a
162 = 60 × a
a = 162 ÷ 60
a = 2.7 m/s²The vertical acceleration is 2.7 m/s²

In horizontal axis

There is a force that drags her to left.
Fx = - 74 N
Because it's against her movement.She moves in non-uniform motion.According to Newton's second law
∑F = ma
- Fx = ma
- 74 = 60 × a
a = - 74 ÷ 60
a = - 1.23 m/s²The horizontal acceleration is - 1.23 m/s²

In vertical axis

The initial speed = u = 0 m/sThe acceleration = a = 2.7 m/s²Height = h = 30 mAccording to non-uniform motion
[tex]h = ut + \frac{1}{2} at^2[/tex]
[tex]h = 0 + \frac{1}{2} at^2[/tex]
2h = at²
2 × 30 = 2.7 t²
60 ÷ 2.7 = t²
t² = 22.2
[tex]t = \sqrt{22.2}[/tex]
t = 4.71 sShe will remain in the air for 4.71 s.

In horizontal axis

The initial speed = u = 26 m/sThe acceleration = - 1.23 m/s²According to non-uniform motion
[tex]S = ut + \frac{1}{2} at^2[/tex]
[tex]S = (26 \times 4.71) + (\frac{1}{2} \times - 1.23 \times 4.71^2)[/tex]
S = 122.46 - 13.68
S = 108.78 mThe distance between the building and her is 108.78 m.

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which has the lowest heat capacity? (values of heat capacities and calculations are unnecessary). which has the lowest heat capacity? (values of heat capacities and calculations are unnecessary). 3 kg of iron 10 g of liquid water 30 kg of ice 1 g of gold

Answers

Answer:

3kg of iron

Explanation:

analysis of an interference effect in a clear solid shows that the wavelength of light in the solid is 329 nm. knowing this light comes from a he-ne laser and has a wavelength of 633 nm in air, is the substance zircon or diamond?

Answers

The substance is zircon, of which interference analysis is done.

Wavelength of light in solid = λ = 329 nm

Wavelength of light from he-ne laser = λ' = 633 nm

Interference effect = n =

= n =  λ' / λ

= n = 633 / 329

= n = 1.92

The interference, in physics, is the net effect of the combination of two or more wave trains moving on intersecting or coincident paths. The effect is that of the addition of the amplitudes of the individual waves at each point affected by more than one wave.

Thus the substance is zircon.

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a wave with wavelength of 3 m long oscillates 1.5 times each second. what's the speed of the wave? (in m/s)

Answers

A wave of 3 m in length oscillates 1.5 times every second. The wave moves at a pace of 4.5 m/s.

What use does wavelength serve?

The length of such a wave is expressed by its wavelength. The wavelength is the distance between one wave's crest and the following wave's crest. The wavelength can also be determined by measuring from "groove" (bottom) of one pulse to the "trough" of the following wave.

Briefing:

Given:

Number of oscillation per seconds = 1.5

Wavelength; λ = 3m

Speed of the wave; ν = ?

The number of instances of a repeating phenomena per unit of time is what we meant by frequency.

Given that the pulse oscillates 1.5 times per second, its frequency is 1.5 Hz.

Speed = ν*f

ν = 3m * 1.5Hz

ν = 3m * 1.5s⁻¹

ν = 4.5ms⁻¹

ν =4.5 m/s

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an intoxicated clockmaker produces a grandfather clock whose pendulum has a period of 3.5\;\mathrm{s}3.5s. what is the length of the pendulum?

Answers

The length of the pendulum is equal to 1.35 m.

What is a simple pendulum?

A simple pendulum can be described as a mechanical arrangement that exhibits periodic motion. The simple pendulum is made of a small bob of mass ‘m’ suspended by a thin thread hung at its upper end of length L.

The simple pendulum moves in an oscillatory motion and the motion occurs in a vertical plane which is driven by the gravitational force.

The time period of the pendulum is given by:

T = 2π√(L/g)

Where L is the length and g is the gravitational acceleration.

Given, the time period of a pendulum, T = 3.5 s

Then the length of the pendulum can be calculated as:

[tex]{\displaystyle 3.5 = 3\times 3.14 \sqrt{\frac{L}{9.8} }[/tex]

(0.37)² = L/9.8

L = 1.35 m

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n 85-kg jogger is heading due east at a speed of 2.0 m/s. a 55-kg jogger is heading 32° north of east at a speed of 3.0 m/s. find the magnitude and direction of the sum of the momenta of the two joggers.

Answers

The angle's sum of moments has a magnitude and direction of 21.87 degrees north of east.

P1=mvi

P1=85x2.0i

P1=170.0i

P2=m2v2i+m2v2j

p=p1+p2

How would you define magnitude?

Dimension is basically "quantity or volume" in the viewpoint of mechanics. In terms of motion, it shows the absolute or relative size, direction, or movement of an item. It is used to describe something's size or scope. Magnitude in physics often refers to a size or amount.

What scale does magnitude use?

The most typical way to gauge an earthquake's size is by its magnitude. No matter where you are or how violent the shaking is, it is the same number since it represents the size of the earthquake's source.

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calculate the energy and wavelength of the characteristic x-ray produced when a k-shell electron is replaced by an m-shell electron in tungsten.

Answers

The energy and wavelength of the characteristic x-ray produced is 66KeV and 0.192А° respectively.

What is energy of electrons in a shell?

The energy level of each electron shell varies, with the electron shells nearest to the nucleus having a lower energy level than those farthest from the nucleus. If the electron jumps from the second energy level down to the first energy level, it must give off some energy by emitting light.

What is wavelength and how to calculate it?

Wavelength can be defined as the distance between two successive crests or troughs of a wave. It is measured in the direction of the wave.

Rydberg's Formula for calculating the wavelength:

1 / λ = R(Z - [tex]1^2[/tex]) [tex][\frac{1}{1} - \frac{1}{n^2} ][/tex]

Energy associated with the electron in the K-shell is approximately

[tex]E_k = -(74-1)^2(13.6eV) = -72474eV[/tex]

The number of electrons in the n = 1 and n = 2 states, which act as a shield between the M electrons and the nucleus. M electrons are protected from the nucleus by about nine electrons because there are currently eight electrons in the n = 2 state and one electron in the n = 1 state.

[tex]Z_eff = z - 9[/tex]

Consequently, the energy of an electron in the M shell is

[tex]E_m = \frac{-13.6 z_eff^2}{3^2}[/tex]eV = [tex]E_m = \frac{13.6 (z-9)^2}{3^2}[/tex]

[tex]E_M =[/tex] -6384eV

Therefore, emitted X-ray has an energy equal to

[tex]E_m - E_k = {-6384-(-72474)}eV[/tex]

               = 66090eV = 66KeV

To calculate wavelength,

For an electron in the Kshell, σ=1.

Thus, Zeff = Z−σ = Z−1

Here, as electron drops from Mshell(n=3) → Kshell(n=1), we call the radiated emission Kβ X-ray and from is given as

1 / λ[tex]_{kb}[/tex] = R(Z-[tex]1^2[/tex])[tex][\frac{1}{1^2} -\frac{1}{3^2} ][/tex]

λ[tex]_{kb}[/tex] = 10967800 × (74 - [tex]1^2[/tex]) [tex][\frac{8}{9}][/tex]

λ[tex]_{kb}[/tex] = 0.192А°

The energy and wavelength of the characteristic x-ray produced is 66KeV and 0.192А° respectively.

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Listed following are several objects in the solar system. Rank these objects from left to right based on their orbital period around the Sun from shortest to longest. A typical asteroid in the asteroid belt, a trojan asteroid, a typical kuiper belt object, a typical oort cloud object

Answers

The orbital period around the Sun from shortest to longest from the sun is asteroid belt - (3 earth years)⇒ trojan asteroid(4 earth years)⇒  typical Kuiper belt object (∠ 200 earth years )⇒ typical Oort cloud object (P≈ 5*10⁶ years).

What is Solar system?

This refers to the sun, star, moon, and all the bodies moving around the sun and held by gravity.

Other components of the solar system include:the 9 planets (Mercury, venus, earth mars, Jupiter Saturn, Uranus, Neptun and pluto)SatellitescommetsAsteroids  etc

They are all held by gravity and move around the sun at different times and duration this movement is known as a revolution.

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4.127 a model solid propellant rocket has a mass of 69.6 g, of which 12.5 g is fuel. the rocket produces 5.75 n of thrust for a duration of 1.7 s. for these conditions, calculate the maximum speed and height attainable in the absence of air resistance. plot the rocket speed and the distance traveled as functions of time.

Answers

The maximum speed and height attainable in the absence of air resistance is 139.2 m/s and 1100m.

Umax = U(t = t’ = 1.7 sec) = 139.2 m/s (h(t = t’) = 114 m)

hmax = h(t = tm = 15.9 sec) = 1100 m

Assume that the rocket's mass flow rate is constant. Assume, too, that the thrust will remain constant throughout the burn.

Apply the rocket's frame of reference to the CV displayed and the linear momentum equation in the y-direction.

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I understand that the question you are looking for is:

A model solid propellant rocket has a mass of 69.6 gm, of which 12.5 gm is fuel. The rocket produces 1.3 lbf of thrust for a duration of 1.7 sec. For these conditions, calculate the maximum speed and height attainable in the absence of air resistance. Plot the rocket speed and the distance traveled as functions of time

A student in an electronics lab is studying the electrical properties of pieces of graphite. The
student applies a potential difference of 24 V across the length of a cylindrical piece of graphite
with a radius of 0.5 mm. The student has another piece of graphite of the same length but with a
radius of 0.7 mm. The student wants the same current in both pieces of graphite. What potential
difference should the student apply across the 0.7 mm piece?
A) 6 V B)12 V C) 17 V D) 24 V

Answers

The student should apply a 17V potential differential across the 0.7 mm piece.

How may potential differences be found?

The potential difference between places A and B is defined as the change in potential energy (PE) of a charge (q) transported from A to B, divided by the charge (V = VB - VA).

The joules per coulomb, sometimes known as volts (V) in honor of Alessandro Volta, are the units of potential difference.

The change in potential energy (PE) of a charge (q) transported from point A to point B, divided by the charge, is thus used to determine the potential difference between points A and B as V = VB - VA.

Volt is the SI unit for electrical potential. V stands for it.

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what is the density of the oil? [hint: pressures at points a and b are equal. why?] express your answer with the appropriate units.

Answers

The majority of oils have densities that fall within the 700–950 kg/m3 (kg/kg/m3) range. In oils, it is typically stated as +15°C or +20°C, in kilograms per square meter.

Explain density.

Density Definition How closely a material gets packed together is determined by its density. It is described as the mass per volume. Density Symbol: D or Density formula: = m/V, where m is the object's mass and V is its volume.

What does density mean, for example?

How compact & concentrated anything is is described by its density. Consider having two boxes, on large and one tiny. They each weigh the same, though. As a result, the small box does have a greater density than the huge box. Additionally, density reveals how crowded or concentrated something is.

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A proton and an electron are placed in an electric field. Which undergoes the lesser acceleration?.

Answers

Putting a proton or an electron in an electric field causes the proton to accelerate less.

Describe the electric field.

The electric force on such a charge at a given point in space is equal to that point's electric field times the quantity of charge present there. The electric field is the amount much electric force per charge. Recapitulating, electric charges produce an electric field.

what is An example of an electric field i?

The area of space around like an electrically charged molecule or object that exerts force on the charge body is known as the electric field. Examples include the creation of electric fields by charges and their arrangements, such as in capacitors and battery cells.

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Suppose we use a baseball to represent Earth. On this scale, the other terrestrial worlds (Mercury, Venus, the Moon, and Mars) would range in size approximately from that of _________.
a golf ball to a baseball

Answers

The other terrestrial worlds (Mercury, Venus, the Moon, and Mars) would range in size approximately from that of a golf ball to a baseball.

Define solar system.

The Sun and the things that circle it make up the gravitationally bound solar system. It was created 4.6 billion years ago when a massive interstellar molecular cloud collapsed because to gravity. The Sun is home to the great majority (99.86%) of the system's mass, with Jupiter holding the lion's share of the remaining mass. Mercury, Venus, Earth, and Mars are the four planets in the inner solar system. These terrestrial planets are mostly made of rock and metal.

We consider the size of the earth to be that of a golf ball. This scale would allow us to squeeze 1.3 million golf ball-sized earths inside of the Sun, which would be over 15 feet wide. That is equivalent to two full school buses' worth of golf balls.

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listed following are several stars found in the disk and halo of the milky way galaxy. assume that both the blue and yellow disk stars are members of the same open cluster. rank the stars based on the abundance of elements heavier than carbon that you would expect to find in each of the stars, from highest to lowest. if you expect two (or more) stars to have approximately the same abundance, rank them as equal by dragging one on top of the other(s).
a) hot, blue mains sequence star in open cluster in disk.
b) red main sequence star in globular cluster M13
c) yellow main sequence star in open cluster in disk.
d) red giant in globular cluster M13.
I just put (heaviest abundance - lowest abundance) at
c - a - (c and d)

Answers

Highest Abundance: Yellow main-sequence star in open cluster in disk AND hot, blue main-sequence star in disk.

Lowest Abundance: red giant in globular cluster M13 AND red main-sequence star in globular cluster M13.

What is abundance?

Astronomers refer to all chemical elements heavier than hydrogen or helium as metals, including elements such as carbon and oxygen that are not normally considered metals. The metallicity of a star is therefore given as the proportion of these "metallics" in the stellar mass. About 2% for the Sun.

However, this definition cannot fully define the chemical composition of stars. Because you can achieve the same amount of metal in an almost infinite number of ways. For example, a star with a particular metallicity may have all of its metals iron, and another star with the same total metals content may have all of its metals oxygen. In the world, the entire periodic table of elements is present in every star, but the relative abundance of each element varies from star to star.

To quantify the relative abundance of individual elements in a star, astronomers define the "abundance ratio" as the logarithm of the ratio of the star's two metallic elements to the ratio of the Sun.

Therefore,

Highest Abundance: Yellow main-sequence star in open cluster in disk AND hot, blue main-sequence star in disk.

Lowest Abundance: red giant in globular cluster M13 AND red main-sequence star in globular cluster M13.

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an automobile engine provides 508 joules of work to push the pistons and generates 2277 joules of heat that must be carried away by the cooling system. calculate the change in the internal energy of the engine. e

Answers

The change in the internal energy of the engine is 508 + 2277 = 2785 joules.

What is internal energy?
Rising temperature and changes in state as well as phase from solid to liquid as well as liquid to gas cause an increase in internal energy. Planetary bodies can be viewed as a fusion of heat engines and heat reservoirs. Internal energy E is stored in the heat reservoirs, and some of it is converted into different kinds of mechanical, electrical, and chemical energies by the heat engines. The sum of the kinetic energy brought on by the motion of molecules as well as the potential energy brought on by the vibrational motion as well as electric energy of atoms inside of molecules makes up the internal energy U of the a system or a body with clearly defined boundaries. The energy contained in every chemical bond is also referred to as internal energy.

The change in the internal energy of the engine can be calculated using the First Law of Thermodynamics, which states that the increase in the internal energy of a system equals the work done by the system plus the heat added to the system. In this case, the work done by the engine is 508 joules and the heat generated by the engine is 2277 joules. Therefore, the change in the internal energy of the engine is 508 + 2277 = 2785 joules.

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Nuclear decay occurs according to first-order kinetics. How long will it take for a sample of titanium-45 to decay from 65. 0 grams to 25. 0 grams? the half-life of titanium-45 is 3. 08 hours.

Answers

The mass of Ti-51 remaining after 1 hour will be 0.0977 g

Is radioactive decay first order kinetics?Since radioactive decay is a first-order process, we can also use this equation for the rate constant, which comes from first-order kinetics, which says that the rate constant k is equal to 0.693 divided by the half-life.Nuclear decay is an excellent example of a first order process. The rate of decay is simply proportional to the amount of the radioactive isotope. This is due to the fact that any isotope has the same chance of decaying at any given time.Because nuclear decay reactions follow first-order kinetics and have a rate constant that is independent of temperature and the chemical or physical environment, we can perform similar calculations using the half-lives of isotopes to estimate the ages of geological and archaeological artifacts.The first-order radioactive decay law states that the rate of decay (number of disintegrations per second) is proportional to the number of radioactive atoms (N) present at that time t. N = No e-λt.

#a. ⁵¹₂₂ Ti +  ⁰₋₁e → ⁵¹₂₃V

#b. 0.0977 g

#a.

Titanium-51 is the radioisotope that undergoes Beta emission to emit a daughter isotope Vanadium-51 (Mass number-51 and atomic number -23).

Titanium-51 has a mass number of 51 and atomic number of 22.

A beta particle is equivalent to ⁻¹₀e

Beta emission does not affect the mass number of an isotope but increases the atomic number by 1.

Therefore;

The reaction will be;

⁵¹₂₂Ti +  ⁻¹₀e → ⁵²₂₂V

#b.

The half life of Ti-51 is 6 minutes

We can calculate the mass remaining after 1 hour (60 min)

Original mass of the sample = 10.0 g

But; using the formula;

Remaining mass = Original mass × (1/2)^n , where n is the number of half lives.

in this case, n = time/half life

= 60 min ÷ 6 min

= 10

Therefore;

Remaining mass = 100 g × (1/2)^10

= 0.0977 g

Therefore, the mass of Ti-51 remaining after 1 hour will be 0.0977 g

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In thinking about the uniform distribution of a gravitational field over a sphere, why does gravitational force have an inverse-square relationship with the distance between objects?.

Answers

In the first case it is  increased by a factor of 9.

Explain in detail.

In physics, a gravitational field is a model used to explain the influences that a massive body extends into the space around itself, producing a force on another massive body.

This model is used to explain gravitational phenomena, and is measured in newtons per kilogram. The formula for determining the gravitational field strength is weight divided by mass. On Earth, the gravitational field strength is 10 N/kg, and other planets have different gravitational field strengths. For example, the Moon has a gravitational field strength of 1.6 N/kg.

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humans can produce an output power as great as 20 w/kg during extreme exercise. sloths are not so energetic. at its maximum speed, a 4.0 kg sloth can climb a height of 6.0 m in 2.0 min.

Answers

Specific Power S.P=0.49 W/kg

The power when an amount of energy ΔE is transferred in a time interval Δt is given by:

P= Δt/ΔE.........(1)

​The gravitational potential energy of an object of mass m at height y (assuming [tex]U_g = 0[/tex] at y = 0) is given by:

[tex]U_g[/tex] = mgy.........(2)

​The specific power of a person (or animal, machine, or device) of mass m doing the transformation or the work is given by:

specific power=  mass of agent causing the transformation of transfer /power of a transformation or a transfer

The mass of the sloth is m= 4 kg and it climbs a height of h = 6 m in Δt=20 min 120 s.

Let its initial height be the zero gravitational potential energy level y=0; So its final height is yf = h

So, from equation (2), the change in the sloth's gravitational potential energy is:

ΔE=Uf−Ui =mg(h−0)=mgh

Now, we plug our values for m and h, so we get:

ΔE=(4.0 kg)×(9.8 m/[tex]s^2[/tex])×(6.0 m)

=235 J

Then, we plug our values for ΔE and Δt into equation (1), so we get the output power of the sloth:

P= 120 s/235 J

=1.96 W

Finally, we plug our values for P and m into equation (3), so we get the specific power of the sloth for this climb:

S.P= 4.0 kg/1.96 W

​=0.49 W/kg

∴ S.P=0.49 W/kg

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Which free body diagram represents the forces acting on an object the moment the applied is removed ,but while the object is still moving forward

Answers

The diagram of  free body diagram represents the forces acting on an object the moment the applied is removed ,but while the object is still moving forward is attached in the answer.

What is free body diagram?

The relative strength and direction of all forces operating on an object in a specific circumstance can be depicted using free body diagrams (FBDs), which are helpful tools. The careful creation of a free-body diagram is a prerequisite for the analysis and description of the majority of physical processes. In a free body diagram, the size of the arrow represents the force's magnitude, while the direction of the arrow represents the way it acts.

Describes what a free body diagram is: A graphic, dematerialized, symbolic representation of the body (a structure, element, or fragment of an element) in which all connecting "parts" have been eliminated is known as a free-body diagram.

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a satellite is orbiting the earth a distance re above its surface. what is the acceleration due to gravity in this orbit?

Answers

the acceleration due to gravity in this orbit where a satellite is orbiting the earth a distance re above its surface is 2.45 m/s2

What is gravity ?

The force that pulls items toward the centre of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity

From the given infromation-

Gravitational constant = G

Mass of Earth = M

Radius of Earth = [tex]R_{e}[/tex]

Gravitational acceleration at the surface of Earth = g = 9.8 m/s2

[tex]g = \frac{GM}{R_{e} ^{2} }[/tex]

Altitude at which the satellite orbits Earth = H = [tex]R_{e\\}[/tex]

Orbital radius of the satellite = R

R = [tex]R_{e}[/tex]+ H

R = [tex]R_{e}[/tex]+ [tex]R_{e}[/tex]

R = 2 [tex]R_{e}[/tex]

Acceleration due to gravity in this orbit = [tex]g_{o}[/tex]

[tex]g_{o} = \frac{GM}{R_{e}^{2} }[/tex]

[tex]g_{o} = \frac{GM}{2 ( R_{e}^{2} ) }[/tex]

[tex]g_{o} = \frac{g}{4}[/tex]

[tex]g_{o} = \frac{9.8}{4}[/tex]

[tex]g_{o}[/tex] = 2.45 m/s2

Acceleration due to gravity in this orbit = 2.45 m/s2

Hence the acceleration due to gravity in this orbit where a satellite is orbiting the earth a distance re above its surface is 2.45 m/s2

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under normal conditions, when is the only time that an oil film does not keep engine parts separated?

Answers

An oil film does not keep engine parts separated when:

The oil level is too low.The oil is too dirty.The oil is too old.

The Importance of a Good Oil Level in Engines

The proper functioning of engines depends on many factors, but one of the most important is the level of oil. Oil lubricates and protects the internal parts of the engine, keeping them apart.

This helps prevent wear and friction between moving parts, ensuring optimum performance. If the oil level is too low, the engine parts will not be adequately lubricated and separated, which can result in serious problems.

Therefore, it is essential to maintain the oil level at an adequate level. To do this, it is recommended to check the oil level regularly.

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which property of an object will not be changed by moving it from one place on the earth to another?

Answers

By shifting an object from one location on the planet to another, its mass will remain unchanged.

What is an object in a sentence?

To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. It typically responds to the what- or whom-questions regarding the verb.

What is a picture or an object?

Icons, cursors, buttons, sprites, and other complicated artworks can be made from a collection of simple visual pieces called image objects. Without having to sketch a single pixel, Image Objects let you express creativity.

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Four identical blocks are moving on a surface for which the coefficient of kinetic friction between each block and the surface is Hk. The velocity of each block is indicated by the vector on the block.for which block is the force of friction between the surface and the block greatest?

Answers

The maximum friction pressure that can act at the block is given with the aid of fax = muS*N, in which muS is the coefficient of static friction.

In physics, pressure is a power that could alternate the movement of an object. A force can motivate an item with mass to alternate its velocity, i.e, to boost up pressure also can be defined intuitively as a push or a pull. A pressure has both significance and path, making it a vector quantity.

Exceptional kinds of pressure are contact forces and non-forces. a few examples of pressure are Nuclear force, gravitational force, Frictional pressure, magnetic pressure, electrostatic force, spring pressure, and so on.

In physics, a force is a push or pull between gadgets. it is called an interplay because if one object acts on another, its action is matched by using a response from the alternative item. This idea is called Newton's 0.33 regulation, wherein movement and reaction are identical and opposite.

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