A 1 kg apple and a 2 kg baseball are 2 m apart. What is the force of gravity between each fruit?

A) The obtained equation is not proportional to v(x), so v(x) is not an eigenstate of momentum.

B)The expectation value of the momentum is zero, which makes sense since the wave function is symmetric around the origin.

C) The certainty of the equation is  Ah/2

D) The possible results of a measurement of momentum are not definite, but rather distributed according to the momentum probability distribution. The most probable momentum is zero, but there is a finite probability of measuring any nonzero momentum.

a)

To determine if v(x) is an eigenstate of momentum, we need to calculate the momentum operator applied to v(x) and see if it is proportional to v(x). The momentum operator is given by ^p = -iħ(d/dx), so we have:

^p(v(x)) = -iħ(d/dx)(A sin(pox/h))

= -iħ(A po/h cos(pox/h))

This is not proportional to v(x), so v(x) is not an eigenstate of momentum.

(b)

To find the expectation value p of the momentum, we need to calculate the integral of v(x) multiplied by the momentum operator applied to v(x), and divide by the integral of v(x) squared. This gives:

p = <^p> = integral[v(x)*^p(v(x))dx] / integral[v(x)^2 dx]

= integral[A sin(pox/h) (-iħ)(A po/h cos(pox/h)) dx] / integral[A^2 sin^2(pox/h) dx]

= (-iħApo/h) integral[sin(pox/h) cos(pox/h) dx] / (h/2)

= (-iħApo/h) (1/2) integral[sin(2pox/h) dx] / (h/2)

= 0

Therefore, the expectation value of the momentum is zero, which makes sense since the wave function is symmetric around the origin.

To find the momentum probability distribution, we need to calculate the absolute value squared of the Fourier transform of v(x). The Fourier transform of v(x) is:

V(p) = integral[v(x) e^(-ipx/ħ) dx]

= A integral[sin(pox/h) e^(-ipx/ħ) dx]

= (2ħ/A) [(po/h)/((po/h)^2 + (p/ħ)^2)]

The momentum probability distribution is then given by:

|V(p)|^2 = (4ħ^2/A^2) [(po/h)^2 / ((po/h)^2 + (p/ħ)^2)^2]

(c)

The uncertainty in momentum can be calculated using the following formula:

Δp = sqrt(⟨p^2⟩ - ⟨p⟩^2)

The second moment of momentum can be calculated as:

⟨p^2⟩ = ∫v*(x) p^2 v(x) dx

= A^2/h^2 ∫sin^2(pox/h) p^2 dx

= A^2/h^2 ∫(1 - cos(2pox/h))/2 p^2 dx

= A^2/h^2 [(h^3/3p^3) - (h/2p) sin(2pox/h) + (h^3/8p^3) sin^2(2pox/h)] from -∞ to +∞

= A^2h^2/4

Thus, the uncertainty in momentum is:

Δp = sqrt(⟨p^2⟩ - ⟨p⟩^2) = sqrt(A^2h^2/4 - 0) = Ah/2

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Answer:

Hey mate....

Explanation:

This is ur answer.....

Another way to measure the strength of an earthquake is to use the Mercalli scale. Invented by Giuseppe Mercalli in 1902, this scale uses the observations of the people who experienced the earthquake to estimate its intensity.

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Answer:

The combined mass of the two stars is 2.9417 solar masses.

Explanation:

The mathematical expression for Kepler's third law is;

                        \(P^{2}\) = \(\frac{4\pi ^{2} }{k^{2} (M_{1} + M_{2} }a^{3}\)

Where: P is the period in days, a is the semimajor axis in AU, \(M_{1}\) is the mass of the first star, \(M_{2}\) is the mass of the second star and k is the Gaussian gravitational constant.

Given that;

P = 10 years = 3670 days (including two leap years)

a = 6.67 AU

k = 0.01720209895 rad

\(\pi\) = \(\frac{22}{7}\)

The sum of the masses of the two star can be determined by;

\((M_{1} + M_{2})\) = \(\frac{4\pi ^{2} }{P^{2}k^{2} } a^{3}\)

                = \(\frac{4*(\frac{22}{7}) ^{2} } {(3650)^{2} * (0.01720209895)^{2} } (6.67)^{3}\)

                = \(\frac{11724.29601}{3942.2904}\)

               = 2.9417 solar masses

Thus the combined mass of the two star is 2.9417 solar masses.

Answer:

Last option is correct

Explanation:

A reference point is a place or object used for comparison to determine if something is in motion. An object is in motion if it changes position relative to a reference point.

Answer: a position from which to measure future distance

Explanation:

I just took the test

Answer:

The ball being thrown straight down.

Explanation:

The downforce and  gravitational pull of the ball going down will give it

a higher velocity compared to the one trown horizontially it will take some time for it to catch downforce speed and reach the same velocity.

The correct statement regarding minimum allowable bend radii for 1.5 inches OD or less aluminum alloy and steel tubing of the same size is:

The minimum radius for steel is greater than for aluminum.

This means that steel tubing requires a larger bend radius compared to aluminum tubing of the same size. It is important to follow the specified minimum bend radii to prevent excessive stress on the tubing. Using a smaller radius than recommended can result in deformation, cracking, or failure of the tubing. Therefore, it is necessary to adhere to the guidelines to ensure the structural integrity and longevity of the tubing.

When it comes to minimum allowable bend radii for 1.5 inches OD or less aluminum alloy and steel tubing of the same size, the true statement is that the minimum radius for steel is greater than for aluminum. This means that steel tubing requires a larger bend radius to avoid excessive stress on the material during bending.

Bend radii are important considerations in tubing applications as they directly impact the structural integrity and performance of the tubing. If the bend radius is too small, it can lead to deformation, cracking, or failure of the tubing, compromising its functionality and potentially causing safety concerns.

Steel tubing typically has a higher yield strength and greater stiffness compared to aluminum, which is why it requires a larger bend radius. Aluminum alloys, on the other hand, are more ductile and can withstand smaller bend radii without compromising their structural integrity.

Adhering to the specified minimum bend radii ensures that the tubing is bent within safe limits, preventing excessive stress concentrations and maintaining the desired mechanical properties. It is essential to follow these guidelines to ensure the longevity and reliability of the tubing in various applications, including automotive, aerospace, construction, and industrial sectors.

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The distance at which the crane lift a crate is 0.0781 m.

Distnace is the lenght between two points.

To determine the distance the crane can lift the crate, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the distance is 0.0781 m.

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The current in the 2.7mm x 2.7mm square aluminum wire with an electric field of 2.2 x 10^(-2) V/m is approximately

5.61 A.

Step 1: Calculate the cross-sectional area of the wire
Area = side x side
Area = 2.7mm x 2.7mm = 7.29 mm^2

Step 2: Find the conductivity of aluminum
The conductivity of aluminum is approximately 3.5 x 10^7 S/m.

Step 3: Calculate the current using Ohm's law
Ohm's law states that J = σE, where J is the current density, σ is the conductivity, and E is the electric field.

J = (3.5 x 10^7 S/m) * (2.2 x 10^(-2) V/m) = 7.7 x 10^5 A/m^2

Current = J * Area
Current = (7.7 x 10^5 A/m^2) * (7.29 x 10^(-6) m^2) = 5.61 A

Therefore, the current A is approximately 5.61 A.

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Answer:

It would break because how fast and how tall the fall is because at a certain hight water can act like a solid and break your body/bones or you could die

its a do or die situation

Explanation:

Explanation:

Solubility is the ability to dissolve within a solvent to form a mixture called a solution

If a substance is soluble, it dissolves in water
If a substance is insoluble in water -  it does not dissolve
Boling point - the temperature at which a substance in its liquid state
converts into the same substance in its gas state.
Water boils at 100 degree centigrade.
Melting point - the temperature at which a substance in its solid state
converts into the same substance in a liquid state.
Ice melts at 0 degree centigrade.
Water freezes at 0 degree centigrade.
How much matter (mass) is packed into a specific space (volume).

Answer:La verdad no tengo conocimiento alguno pero solo te puedo decir que las opciones que te dan en la hoja te pueden ayudar

Explanation:

Answer:

you add

Explanation:

you should add the forces since they act in the same direction as that you'll resolve the two forces

Answer:

Both vehicles move east at 3.97 m/s

Explanation:

Law Of Conservation Of Linear Momentum

It states that the total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and speed v is:

P=mv.

If we have a system of two bodies, then the total momentum is the sum of both momentums:

\(P=m_1v_1+m_2v_2\)

If a collision occurs and the velocities change to v', the final momentum is:

\(P'=m_1v'_1+m_2v'_2\)

Since the total momentum is conserved, then:

P = P'

\(m_1v_1+m_2v_2=m_1v'_1+m_2v'_2\)

Assume both masses stick together after the collision at a common speed v', then:

\(m_1v_1+m_2v_2=(m_1+m_2)v'\)

The common velocity after this situation is:

\(\displaystyle v'=\frac{m_1v_1+m_2v_2}{m_1+m_2}\)

Assuming east direction to be positive, we have an m1=1459 kg car traveling west at v1=-43 m/s. An m2=9755 kg truck is traveling east at v2=11 m/s. They collide head-on and stick together after that.

Computing the resultant velocity after the collision:

\(\displaystyle v'=\frac{1459*(-43)+9755*11}{1459+9755}\)

\(\displaystyle v'=\frac{44568}{11214}\)

v' = 3.97 m/s

Both vehicles move east at 3.97 m/s

Answer:

Prefer Soil more than sand

Explanation:

Explanation:

\( \lambda = 8 \: m \\ T = 2 \: s \\ but \: f = \frac{1}{T} \\ f = \frac{1}{2} = 0.5 \: Hz \\ from \: wave \: equation \\ V = f \lambda \\ V = 8 \times 0.5 \\ V = 4 \: m {s}^{ - 1} \)

As the velocity of a stream carrying a mixture of particles decreases, the heaviest particles will most likely be deposited first. This phenomenon is known as sedimentation.

The process of sedimentation separates particles of different sizes and densities from a mixture by allowing them to settle at different rates due to gravity. The heavier particles settle faster than lighter ones. Therefore, they are the first to be deposited.Sedimentation can occur naturally or artificially. For example, in a river, sedimentation can occur naturally due to changes in water flow and velocity. Artificial sedimentation can be used in water treatment plants to remove impurities from water

The heaviest particles will most likely be deposited first as the velocity of a stream carrying a mixture of particles decreases.Explanation: This is due to the process of sedimentation, which separates particles of different sizes and densities from a mixture by allowing them to settle at different rates due to gravity. The heavier particles settle faster than lighter ones, and hence they are the first to be deposited.

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A step function is defined U(t)=0,1 \(\left \{ {{t < 0} \atop {t > 0}} \right.\)  i(t)=e^-5t + 2 if t=2&3 & i(t)=3e^-5t if  2>t>3.

A step function, sometimes known as a staircase function, is a piecewise constant function with a limited number of parts, according to the definition given in mathematics. In other words, one can think of a function on the real numbers as a finite linear combination of indicator functions of given intervals. In addition, it goes by the names floor function and biggest integer function. There is no continuity in the step function. In mathematics, a step function is a function whose graph resembles a series of steps because it is made up of numerous horizontal line segments interspersed with jumps. The biggest integer function is a frequent illustration of step functions in mathematics.

When provided intervals are used, a step function has a constant value, but the constant varies for each interval. A function that returns the biggest integer that is less than or equal to x is known as the greatest integer function.

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Answer:

16 miles

Explanation:

112 miles/ 7 hours= 16 miles per hour

Answer:

Radioactive Decay

Explanation:

Let's look at relationship

\(\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{m}{k}}\)

\(\\ \rm\rightarrowtail T\propto \sqrt{m}\)

Hence

\(\\ \rm\rightarrowtail \dfrac{T_1}{T_2}=\sqrt{\dfrac{m1}{m2}}\)

\(\\ \rm\rightarrowtail \dfrac{1.5}{2}=\sqrt{\dfrac{0.5}{m2}}\)

\(\\ \rm\rightarrowtail 0.75^2=\dfrac{0.5}{m2}\)

\(\\ \rm\rightarrowtail m_2=\dfrac{0.5}{0.75^2}\)

\(\\ \rm\rightarrowtail m_2=0.889\)

Hence

Answer

Mass needs to added =0.889-0.500=0.389kg

Explanation:

Answer:

Photosynthesis converts solar energy into chemical energy.

your answer is solar energy

hope it helps

Cumulus clouds often indicate Optiion C. possible turbulence.

Turbulence, associated with thunderstorms, may be extremely risky, having the ability to motivate overstressing of the aircraft or lack of manipulation. Thunderstorm vertical currents can be sturdy sufficient to displace a plane up or down vertically as plenty as 2000 to 6000 ft.

Turbulence is only one type of alternate in the air around your aircraft. Air is not nothingness; it's a fluid, like water. Currents of airflow up and down, ripple out, trade direction, and change speed. some of the things that reason turbulence are simpler to expect.

Turbulence is an unexpected and every-so-often violent shift in airflow. the ones irregular motions within the atmosphere create air currents that may purpose passengers on an aircraft to enjoy stressful bumps throughout a flight, or it is able to be extremely sufficient to throw an airplane out of manage.

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The distance traveled by the object from t=0 to the first time that it stops is 2/3. So, option C. is correct.

To find the distance traveled by the object from t=0 to the first time it stops, we first need to determine when the object stops. The object stops when its velocity v(t) is equal to 0:

v(t) = 2cos(3t) = 0

This occurs when cos(3t) = 0.

The first positive value for t that satisfies this equation is when 3t = π/2, which gives us t = π/6.

Now, we need to find the distance traveled. Since we know the velocity function v(t), we can find the position function s(t) by integrating v(t):
s(t) = ∫v(t)dt = ∫2cos(3t)dt

Integrating the function gives:
s(t) = (2/3)sin(3t) + C

As the initial condition is s(0) = 0, we find C = 0.

So, the position function is:
s(t) = (2/3)sin(3t)

Now, we can find the distance traveled by the object from t=0 to t=π/6:

Distance = s(π/6) - s(0)

= (2/3)sin(3(π/6)) - (2/3)sin(0)

= (2/3)sin(π/2) - 0

= (2/3)(1)

= 2/3

So, the correct answer is C option.

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Answer:

Potential energy

Explanation:

The angular velocity (ωₐ) of the cube when one face strikes the plane, assuming the edge cannot slide on the plane, is given by ωₐ = 3(V² - 1).

When the cube is in a position of unstable equilibrium with one edge in contact with a horizontal plane, it has the potential to fall. If a small displacement is given to the cube, it will start to rotate and eventually strike the plane with one face. We want to determine the angular velocity of the cube at this moment.

The equation ωₐ = 3(V² - 1) relates the angular velocity to the velocity (V) of the cube at the moment of impact. This equation assumes that the edge of the cube cannot slide on the plane, which means the cube rotates without any slipping motion.

The derivation of this equation involves the conservation of angular momentum and the conservation of energy. By considering the initial potential energy and final kinetic energy of the falling cube, and applying the conservation laws, the equation ωₐ = 3(V² - 1) can be obtained.

Therefore, the cube's angular velocity (ωₐ) upon impact with the plane, when the edge cannot slide, is calculated using the formula ωₐ = 3(V² - 1), where V represents the velocity.

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Complete question here:

A homogeneous cube, each edge of which has a length 1, is initially in a position of unstable equilibrium with one edge in contact with a horizontal plane. 2-1 The cube is then given a small displacement and allowed to fall. Show that, if the edge cannot slide on the plane, the angular velocity of the cube when one face strikes the plane is given by wa = 3(V2 – 1) (3)

Answer:

grocery store owner

medical doctor

trial lawyer

The acceleration of the airplane of mass 5000 kg is 0.1 m/s².

Acceleration is the rate of change of velocity.

To calculate the acceleration of the airplane, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration is 0.1 m/s².

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Answer:   0.0035

============================================

Explanation:

The exponent is -3, so we move the decimal point 3 spots to the left to go from 3.5 to 0.0035

If the exponent was positive, then we would move the decimal point to the right that amount of spaces.

Answer:

3.white light

The word that BEST describes the area Elliott wants his group to improve is ownership.

option C.

Ownership refers to the idea of ensuring that all members of the group feel they have a stake in decision-making processes, and that their voices are heard and valued.

By giving quieter members more ownership over the group's goals and activities, Elliott can help ensure that everyone feels included and engaged.

Thus, ownership in the context of group dynamics refers to the sense of responsibility and control that individuals feel over their work or contributions to the group.

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