A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (the figure (Figure 1)). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The spring constant k is 100 N/m. What is the coefficient of kinetic friction mu _k between the block and the tabletop? Express your answer using two significant figures. mu _k = __________

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

#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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Boyle's law states that the volume of a given quantity of gas sustained at a fixed temperature is inversely proportional to the measurement's measurement of pressure.

The motion of an item is related to the forces operating on it by Newton's equations of motion. According to the first law, until a force strikes on an item, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction pressures upon one another.

Static pressure plus dynamic pressure equals total pressure is a simple way to express Bernoulli's equation. Each point Every point in a steadily flowing fluid, regardless of the fluid speed at that point, has its own unique static pressure p and dynamic pressure q.

Joseph-Louis Gay-Lussac investigated the expansion of gases as the temperature is increased. His data helped establishCharles' law, which says, in its modern form, that the volume of a gas is directly proportional to the absolute temperature.

Now we need to say which law is there which state that at a fixed temperature, pressure and volume of a gas are inversely proportional.

The law that states this is Boyle's law.

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The length of the pendulum is equal to 1.35 m.

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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She draws her arms close to her body, decreasing her moment of inertia, to quicken the rotational velocity of her spin. Due to the conservation of angular momentum, rotational velocity will increase,

The angular velocity (w), a vector quantity in uniform circular motion, is determined by dividing the angular displacement (ΔФ a vector quantity), also a vector quantity, by the change in time (t). Speed is equal to the arc length travelled (S) divided by the change in time (Δ), which is also equal to ||R.

According to the above given information

We got to know that

She draws her arms close to her body, decreasing her moment of inertia, to quicken the rotational velocity of her spin. Due to the conservation of angular momentum, rotational velocity will increase.

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Answer:

3kg of iron

Explanation:

Work done by team A while pulling team B is 2200 J.

What is work done?

The work done by a force is defined to be the product of the component of the force in the direction of the displacement and the magnitude of this displacement. Formula. Work can be calculated by multiplying Force and Distance in the direction of force as follows. W = F × d.

What is cos theta in work done?

Work done in physics is defined as a dot product of a force vector and displacement vector. W = F.S.cos θ where cos θ is the angle between the force vector and displacement vector.

What force is applied during tug of war?

Tug-of-war is a game that uses friction as the driving force.

What happens in a tug of war if both teams apply equal force?

In a tug of war, if the two teams are applying equal force on the rope then the net force acting on the rope is zero and hence the rope stays at the same place.

Force F= 1100 N

Displacement caused by the applied force S = 2 m

Force and displacement are in the same direction the angle between them is zero.

Work done is calculated as

[tex]W=F * S * cos theta\\W=1100 * 2 * cos 0\\W=2200 J[/tex]

Thus, the work done by team A to pull is 2200J.

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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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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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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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a) Object maximum height is : 144 feet

b) object hits the ground in : 5.74 seconds

a) t = - [tex]\frac{b}{2a}[/tex]

  t  = - [tex]\frac{-64}{2(-16)}[/tex]

  t  =  2 second

h(t) = -16[tex]t^{2}[/tex] + 64t + 80

  h(2) = -16([tex]2^{2}[/tex]) + 64(2) + 80

       h = -64 + 128 + 80

        h = 144 feet

b) Time to maximum height = 2 seconds

Maximum height = 144 ft

Displacement when it hits the ground  = -80

-80 = -16[tex]t^{2}[/tex] + 64t + 80

solve for t :

t = 5.74 seconds

A displacement simple definition is what?

A change in an object's position is referred to as "displacement." It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place. For instance, if an object shifts from location A to position B, its position changes.

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I understand that the question you are looking for is:

A object is launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. The equation that models this is given by h(t) = -16[tex]t^{2}[/tex] + 64t + 80.

a) What will the objects maximum height ?

b) How many seconds until the object hits the ground?

Answer: The electrician need78 feet of wire are required by the electrician as a result.

Reason:

The elevated angle between the horizontal plane and line of sight to the connection on the pole.

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The reason padded dashboards are used in cars is that they a.) change the impulse in a collision. Therefore option a) is correct.

Padded dashboards make automobiles safer as they increase the time taken to decrease the momentum of impacting body to zero, which also decreases the impact. Therefore, force acting on the padded dashboards is small.

If the driver or passenger hits the dashboard, then the force and time required to stop the momentum is exerted by the dashboard. Padded dashboards serve to extend the time duration of the impact, hence minimizing the effect of the force.

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Yes, it is possible to have the larger force produce less torque than the smaller force. It is possible for the larger force to be applied closely enough to the center of mass of the rigid body due to which its resulting torque is smaller than that of a smaller force applied at a point far from the center of mass.

Force is an external cause due to which a body tends to modify or change its state. Due to application of force, the body can also change its size, shape, and direction. Force has both direction and magnitude.

Force = mass × acceleration

The force that can cause an object to rotate along an axis is measured as torque.

[tex]\tau = rF\sin\theta[/tex]

Here, [tex]\tau \\[/tex] = Torque

r = radius

F = force

[tex]\theta[/tex] = the angle between the F and the lever arm

In the given question, lets assume the following,

F = Large force

d = Distance from the point of application of the large force to center of mass

f = Small force

D = Distance from the point of application the of small force to center of mass

Now,

Assuming D > d (i.e, D is greater than d).

The torque caused by the large force is Fd, and the torque caused by the little force is fD if the forces are applied perpendicular to the body's axis. Hence, depending on the values of F, f, D, and d, we can have Fd < fD.

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The force exerted by each wire on the other is 2.646N and it is away from each other.

The parallel electricity lines are 270 meters long and spaced 40 centimeters apart.

The power line's current is 140A.

In order to exert force on one power line owing to another,

F = uI1I2L/2r.

Where,

The line's current is I₁ and I₂, respectively.

L is the wire's length.

The distance between them is r.

Assigning values,

F = 4 x π x 10⁻⁷ x 140 x 140 x 270/2 x π x 0.4.

Continuing to solve,

F = 2.646 N.

Because the current is flowing in the same direction, the force will be in the opposite direction. Regardless of the current's direction, the force's magnitude will not change.

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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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Yes It is conceivable for a force to produce less torque when it is greater than a force that is smaller.

An object's motion can be altered by unbalanced forces.Two things cause this.An object will move if an imbalanced force pushes and pulls on it while it is at rest.Unbalanced forces also can cause an item in motion to shift its speed or direction.

Students are aware that unbalanced forces can cause objects to accelerate, decelerate, or change direction during their motion.

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Between the barrier and the screen in each trial, the material and consequently the index of refraction are 487.8 nm.

Light waves alter in speed when two materials with different densities, like air and glass, come into contact. The resulting change in direction is referred to as refraction.

With D=2.05, d=5,

m=1,Y1=20cm

In our case, d sin = m.

λ=dYn/mD=

5*10⁻⁶*20*10⁻²/1*2.05

λ=487.8 nm

Refraction in physics is the change in direction that results from a wave's change in speed when it travels through one medium and enters another. For instance, waves move faster in deep water than they do in shallow water.

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Two vectors vector a and vector b, each located in a different position in the plane, have equal magnitude and the same direction, both vectors are considered to be parallel to each other.

Two vectors are said to be parallel if and as it were in case the angle between them is degrees. Parallel vectors are too known as collinear vectors, that is two parallel vectors will be continuously parallel to the same line but they can be either within the same direction or within the exact inverse direction. The cross product of any two parallel vectors could be a zero vector. For any two parallel vectors a and b, their dot product is equal to the product of their magnitudes.

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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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The statement that is true is that; nuclear fission is used to produce electric power in nuclear reactors.

We know that a fission reaction has to do with a kind of reaction in which a radioactive nucleus is bombarded by the use of a particle and then there is the disintegration of the atomic nucleus in order to produce energy.

This has been one of the ways by which we can be able to generate electricity in several power plants across the world. The loss in the mass of the reactants is the equivalent of the energy produced.

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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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The sequence for de broglie wavelengths from largest to smallest is electron > proton > helium.

de broglie wavelength is an important concept to study various phenomenon in quantum mechanics.

Where, h is the Plank's constant

m is the mass of the particle

v is the velocity of particle.

mass of proton = mp = 1.6 x [tex]10^{-27}[/tex] kg

mass of electron, me = 9.1 x  [tex]10^{-31}[/tex] kg

mass of helium nucleus, mHe = 6.6 x  [tex]10^{-27}[/tex] kg

As the velocity of all the three elements are same as v.

According to the de Broglie wavelength formula, since v is same for all λ is inversely proportional to the mass of the element.

Lesser  the mass more will be the de broglie wavelength.

Here, mass of electron < mass of proton < mass of helium nucleus.

So, de broglie wavelength of electron > de broglie wavelength of proton > de broglie wavelength of helium nucleus.

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It is given that:

dependent source = A-0.2Vo

Ideally, the water bounces off the turbine blades, maximizing electricity era. when water splashes, momentum changes extra than while you are simply status.

Also, if the change in momentum of the water is greater than the alternate in momentum of the blade, the blade will spin faster. Consistent with the laws of movement, the momentum of the center of gravity of an object can most effective be changed by the movement of an external force.

But, because of the frictional force generated while the tires contact the ground, the internal force of the engine is added, allowing the automobile to accelerate.

Hydro turbines convert the strength of flowing water into mechanical energy. A hydroelectric generator converts this mechanical power into energy. A high stress water jet is pressed towards the turbine blades. The route of flow modifications. The ensuing change in momentum exerts a force on the turbine blades, inflicting the turbine to rotate.

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From a ceiling, a rope with the mass m and length L hangs. Demonstrate that v =√gy is the wave speed on the rope at a distance of y above the lower end.

The amount of space a wave covers in a certain amount of time, such as the number of meters it covers in a second, is known as its wave speed. Speed = Wavelength x Frequency is an equation that describes how wave speed relates to wave wavelength and wave frequency. When the wavelength and frequency are known, this equation can be used to determine the wave speed. Wave frequency (f) is recorded in hertz, while wave speed (v) is measured in meters per second (m/s) (Hz)

Although technically, velocity means both speed and direction, wave velocity is most often used to refer to speed. A wave's velocity is independent of its intensity and equal to the product of its wavelength and frequency (number of vibrations per second).

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Around 80 times we should expect it to land on B.

Time is basically a measure of non-stop, consistent change  in our own surroundings. Usually we can see through a specific point of view. Concept of time is self-evident and intuitive. Describing the fundamental nature of time is quite difficult.

The general time formula of the any kind of  task that is given as [Time = Distance ÷ Speed]. for SI unit of time is seconds (s).

As per the given condition-

Spin circle=3

Time = 120 sec

the total is 3

the red and orange equals to 2

2/3 times 120

240/3

=80 times

Thus, the correct answer is 80 times.

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50 dayss  long will it take for a sample of chromium-51 to decay from 35. 0 grams to 10. 0 grams

Observationally stable chromium isotopes include chromium Cr-51.

It is utilized as a diagnostic radiopharmaceutical agent when injected intravenously to calculate the volume or mass of red blood cells, research red blood cell survival, and assess blood loss.

Introduction.With a half-life of 27.7 days and gamma rays with a maximum energy of 0.320 MeV, chromium-51 is a widely utilized radionuclide

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Answer:

V = 2.86 m/s

Explanation:

Given:

m = 1400 kg

p = 4000 kg·m/s

_________________

V- ?

Momentum:

p = m·V

Velocity:

V = p / m

V = 4000 / 1400 ≈ 2.86 m/s

The speed of the canister relative to the ship firing it must be 0.999c since the speed of light is the same in all inertial reference frames.

Relative velocity is the vector difference between the velocities of two objects in motion relative to each other. It is the velocity of an object in relation to the velocity of the other object. Since the speed of the canister must be 0.999c relative to the ship firing it, the speed of the canister relative to the other ship must be 0.999c + (the relative velocity of the two ships).

So, if the relative velocity of the two ships is v, the speed of the canister relative to the other ship must be 0.999c + v.

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The system's behavior becomes more elastic when the spring constant, k, is increased, as is the Q factor

Since a spring's constant k and its length are inversely related, when a spring is divided into n parts, the length increases by 1n, making the spring constant k/(1/n)=nk.

The square root of the mass and the spring constant have opposite relationships with respect to the period of a spring-mass system.

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