Water from a vertical pipe emerges as a 10-cm-diameter cylinder and falls straight down 7.5 m into a bucket. The water exits the pipe with a speed of 2.0 m/s. What is the diameter of the column of water as it hits the bucke g

Answer:

Explanation:

F = GMm/d²

F = 6.67259 x 10⁻¹¹(2.39)(0.016) / 0.0681²

F = 5.5019685...x 10⁻¹⁰ N

round as appropriate, probably no more than 3 significant figures.

Value of G seems low, but well within the 3 significant figures of the other numerals. I typically see G = 6.674 x 10⁻¹¹

Answer:

The meaning of life is one of the most profound and enduring questions that has plagued humanity for centuries. Philosophers, scientists, and theologians have all attempted to answer this question in their own ways, yet it remains an enigma that has yet to be fully understood. At its core, the meaning of life is a subjective concept that is shaped by individual beliefs, experiences, and values. However, there are several common themes and ideas that have emerged from various attempts to answer this question. One of the most prominent views on the meaning of life is that it is to find purpose and fulfillment. This view suggests that we should strive to find something that gives our lives meaning, whether it be through our work, relationships, or personal pursuits. This idea is often associated with the concept of happiness, as many believe that true happiness can only be achieved by finding purpose and meaning in one's life. Another

The current that flows through the 75 ohm resistor in the circuit shown below is 0.12A.

The current flowing through a circuit can be calculated using the Ohm's law equation as follows;

V = IR

Where;

According to this question, a circuit is shown in the above image. A 75 ohm resistor is given alongside a voltage of 9V. The current can be calculated as follows;

9 = I × 75

I = 0.12A

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4.44×\(10^{9}\) kg/s is the rate at which the sun mass is decreasing.

The Sun radiates energy through a process called nuclear fusion, where hydrogen atoms combine to form helium, releasing a tremendous amount of energy in the process. According to Einstein's mass-energy equivalence principle (E=mc²), this energy release corresponds to a decrease in mass.

To calculate the rate at which the Sun's mass is decreasing, we can use the formula ΔE = Δmc², where ΔE is the change in energy, Δm is the change in mass, and c is the speed of light.

Given that the Sun radiates energy at a rate of 4×10^26 W, we can substitute this value into the equation as ΔE and solve for Δm.

ΔE = 4×10^26 W

c = 3×10^8 m/s (speed of light)

Using the equation ΔE = Δmc² and rearranging it, we get Δm = ΔE / c².

Substituting the values, we have:

Δm = (4×10^26 W) / (3×10^8 m/s)²

Evaluating this expression, we find that the rate at which the Sun's mass is decreasing is approximately 4.44×10^9 kg/s.

This calculation demonstrates that the Sun's mass is gradually decreasing as it continuously radiates energy into space, primarily through the process of nuclear fusion in its core.

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part a.  the wavelength of this wave  is 26 cm

part b. The amplitude (A) of a wave is 9 cm

The wavelength (λ) of a wave is described as the distance between two consecutive points on the wave that are in phase.

In this scenario, the distance between two corresponding points on the wave will be equal to the horizontal distance from crest to trough, which is 26 cm.

Hence, the wavelength of the wave is: λ = 26 cm

The amplitude (A) of a wave is described as the maximum displacement of a particle from its rest position as the wave passes through it.

In this scenario, the vertical distance from crest to trough is 18 cm, which is equal to twice the amplitude.

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Answer:

the particle is at coordinates (18,15/2)

Explanation:

To find the acceleration of the particle, we can use the formula for velocity: v = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. Since we know the initial and final velocities, as well as the time interval, we can solve for the acceleration:

a = (v - v0)/t = [(9i + 7j) - (3i - 2j)]/3 = (6i + 9j)/3 = 2i + 3j

So the acceleration of the particle is a = 2i + 3j m/s².

To find the coordinates of the particle at t=3s, we can use the formula for position: r = r0 + v0t + 1/2at², where r0 is the initial position. Since the particle starts at the origin, r0 = 0. Plugging in the values we have:

r = 0 + (3i - 2j)(3) + 1/2(2i + 3j)(3)² = 9i - 6j + 9i + 27/2 j = 18i + 15/2 j

We can use the kinematic equations of motion to solve this problem.

Let the acceleration of the particle be a = axî + ayj.

(a) Using the equation of motion v = u + at, where u is the initial velocity:

f = v = u + at

Substituting the given values, we get:

(91+7j) = (3î-2j) + a(3î + 3j)

Equating the real and imaginary parts, we get:

91 = 3a + 3a (coefficients of î are equated)

7 = -2a + 3a (coefficients of j are equated)

Solving these equations simultaneously, we get:

a = î(23/6) + j(1/2)

So the acceleration of the particle is a = (23/6)î + (1/2)j.

(b) Using the equation of motion s = ut + (1/2)at^2, where s is the displacement and u is the initial velocity:

At t = 3s, the displacement of the particle is:

s = ut + (1/2)at^2

Substituting the given values, we get:

s = (3î-2j)(3) + (1/2)(23/6)î(3)^2 + (1/2)(1/2)j(3)^2

Simplifying, we get:

s = 9î + (17/2)j

So the coordinates of the particle at t=3s are (9, 17/2).

Elastic potential energy is given by:

\(E =\dfrac{1}{2}kx^2\)

Where k is the spring constant in N/m and x is displacement from equilibrium position in m. Evaluating:

\(E =\dfrac{1}{2}kx^2 = \dfrac{1}{2}(45\;N/m)(1.4\;m)^2 = 44.1\;J\)

A/ The potential energy is stored in the spring is 44.1 J.

Answer:

The term “cold-blooded” implies that these animals are in a never-ending struggle to stay warm. That really isn't correct. A cold-blooded animal can warm up their blood by being in the sun for hours.

Answer:the  Minimum speed , v of the roller coster = 17.0 m/s --c

Explanation:

According to Newton's First law  of Motion which state that all object will remain at rest unless an external force is applied on the body to act otherwise.

Therefore the   Force exerted/ acting  on the surface of  the roller coaster will be equal to 0,

Net Force = 0

Remember that , Force = mg = Mv ²/r = 0

 Net Force =mv ² / r - mg = 0

mv²/ r - mg = 0

(diving through by m)

v²/r -g = 0

v² = gr

v= \(\sqrt{gr}\)

where g, acceleration due to gravity= 9.8m/s2 and radius, r = 29.5m

v=  \(\sqrt{9.8m/s2 X 29.5m }\)

v =\(\sqrt{ 289}\)

v=  17.0 m/s

Therefore, the  Minimum speed , v of the roller coaster = 17.0 m/s

Answer:

True

Explanation:

a pulley is a wheel on an Axel or shaft that is designed to support movement and chnage of direction of a taut cable or belt

Answer: Choice B

There are triple bonds between the carbon (C) and oxygen (O) atoms. Then there are 2 dots on either side

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

Explanation:

When it comes to interaction and chemistry, all that matters is the valence shell or valence electrons. This is the outermost shell. This is because various elements do not interact with the inner electrons (they're locked in place so to speak and don't move to other elements).

Carbon has 6 protons, which is what uniquely makes up this element. This means there are 6 electrons. The inner shell has 2 electrons and the valence shell has 4 electrons. Two electrons are shown as the two blue dots on the left side of the C. The other two electrons form two of the lines, or the bonds, between the C and O.

-------------

Oxygen has 8 protons and 8 electrons. It has 2 electrons in the inner shell and 6 electrons in the valence shell. Two of those electrons are the red dots on the right side of the O. The other 4 electrons are shared to form the bonds with the carbon atom.

This is where things get a bit tricky. I've shown a diagram below indicating that one of the oxygen electrons (red dot) is passed to the carbon, as this carbon atom is pulling on the oxygen electron. But the oxygen atom is pulling on it as well, which forms one of the triple bonds.

So this is why diagram B is the final answer. This is something you can logically determine (remembering the rules of how each electron shell is formed), or it's something you'll need to memorize. In the real world, it's easy to forget a lot of info like this, so that's why having it handy as a lookup reference is preferable.

Answer:

-1.17 m/s²

Explanation:

Given:

v₀ = 20 mph = 8.94 m/s

v = 0 m/s

t = 7.63 s

Find: a

v = at + v₀

0 m/s = a (7.63 s) + 8.94 m/s

a = -1.17 m/s²

The acceleration of the plane will be:

"-1.17 m/s²".

According to the question,

Velocity, v₀ = 20 mph or,

                   = 8.94 m/s

and,

                v = 0 m/s

Time, t = 7.63 s

We know the relation,

→ v = at + v₀

By substituting the values,

  0 = a × 7.63 + 8.94

7.63a = - 8.94

      a = -\(\frac{8.94}{7.63}\)

         = - 1.17 m/s²  

Thus the response above is correct.

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The scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.

A chemical change is any process in which reactants are changed into products by the breaking or creation of chemical bonds.

In a chemical change, the chemical bonds in the reactants are broken and rearranged to form new substances called products. One of the evidences that a chemical change has occurred is gas evolution.

According to this question, a student adds baking soda to vinegar and observes that a large amount of gaseous carbon dioxide is released.

Therefore, it can be said that the scientific reason for the change is that baking soda underwent a chemical change to evolve a gaseous carbon dioxide.

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The power being provided to the propeller 3.0 seconds after it starts rotating is approximately 21.8 MW and the moment of inertia of the propeller is approximately 0.55 kg⋅m².

In hydraulic systems, forces are transferred from one area to another inside an incompressible fluid, such as water or oil. Most aircraft's landing gear and braking systems are hydraulic. In order to function, pneumatic systems need a compressible fluid like air.

I = (τt²) / (2πΔθ)

Substituting the given values, we get:

I = (2.0×10³ N⋅m × (6.0 s)²) / (2π × (1000 rev/min) × (1 min/60 s) × 2π)

I ≈ 0.55 kg⋅m²

P = τω

ω = ω₀ + αt

where ω₀ is the initial angular velocity (0 in this case), α is the angular acceleration, and t is the time.

ω = 0 + (τ/I)t

ω = (2.0×10³ N⋅m) / (0.55 kg⋅m²) × (3.0 s)

ω ≈ 10,909 rad/s

P = (2.0×10³ N⋅m) × (10,909 rad/s)

P ≈ 2.18×10⁷ W

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Answer:

This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.

The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.

The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).

The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:

R(n) = √(X² + Y²)

Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.

However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:

<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2

<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2

Because <X²> = <Y²>, we can write:

<R²> = <X²> + <Y²> = n A²

So, the root mean square distance (the square root of the mean square displacement) after n steps is:

R(n) = √(<R²>) = √(n) * A

Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.

Explanation:

First find current inorder to get guantity of

charge, current =volts /resistance

After getting current ( I) we take the formula which say current =quantity of charge / unit of time

The area of ANY circle is (π) · (radius²).

So ...

(π) · (radius²) = 154 cm²

radius² = (154 cm²) / (π)

radius² = 49.02 cm²

radius = √(49.02 cm²)

radius = 7 cm

Answer:

\( \boxed{\sf Radius \ of \ circle \ (r) = 7 \ cm} \)

Given:

Area of circle = 154 cm²

To Find:

Radius of circle (r)

Explanation:

\( \bold{Area \: of \: circle = \pi r^2}\)

\( \sf \implies \pi {r}^{2} = 154 \\ \\ \sf \implies {r}^{2} = \frac{154}{\pi} \\ \\ \sf \implies {r}^{2} = \frac{154}{ \frac{22}{7} } \\ \\ \sf \implies {r}^{2} = \frac{154 \times 7}{22} \\ \\ \sf \implies {r}^{2} = \frac{1078}{22} \\ \\ \sf \implies {r}^{2} = 49 \\ \\ \sf \implies {r}^{2} = {7}^{2} \\ \\ \sf \implies r = \sqrt{ {7}^{2} } \\ \\ \sf \implies r = 7 \: cm\)

Answer:

coplanar When all forces are acting in the same 

resultunt the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body via vector addition

The cone emits a single-frequency sound of 100 Hz and moves in a straightforward harmonic manner. The cone moves a maximum of 2.0 millimetres when it is making a loud sound.

Simple harmonic motion is a particular type of periodic motion of a body that arises from a dynamic equilibrium between an inertial force that is proportional to the acceleration of the body away from the static equilibrium position and a restoring force on the moving object that is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position.

In mechanics and physics, SHM is sometimes used to refer to this motion. If friction or any other energy dissipation is not present, it leads to an oscillation that is represented by a sinusoid and that lasts indefinitely.

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Explanation:

See image below

Yes, black holes 100% exist. They suck everything in their paths through a process known as spaghettification.

Answer:

Birds and fish both have a backbone structure, which makes them structurally and functionally similar.

Explanation:

Answer:

Ice and Rock

Explanation:

There's also dust and sand mixed up

The vertical force induced in the tower by the cables by:

e) all of the above. All of the methods listed (a, b, c, and d) can be used to find the vertical force induced in the tower by the cables, and each method provides a different approach to finding the solution. The choice of method will depend on the complexity of the problem and the level of mathematical sophistication required for the solution.

The various methods listed (a, b, c, and d) all involve mathematical and physical principles that can be used to find the vertical force induced in the tower by the cables.

a) Product to pairs of vectors and projecting a resultant force from the tower: This method involves using vector dot products or cross products to find the projection of one vector onto another, which can then be used to find the magnitude and direction of the vertical force.

b) Cartesian vector analysis to the coplanar forces: This method involves finding the components of each cable force in a two-dimensional coordinate system, adding the components to find the resultant force, and then finding the direction cosine to determine the direction of the resultant force.

c) Applying Newton's second law of motion and the Pythagorean Theorem: This method involves using Newton's second law of motion (F = ma) to find the net force acting on the tower and then using the Pythagorean Theorem to find the magnitude and direction of the vertical force.

d) Force resolution: This method involves breaking down the cables' forces into their individual components, finding the net force in each direction, and then using vector addition to find the magnitude and direction of the vertical force.

Each method has its own advantages and disadvantages, and the choice of method will depend on the complexity of the problem, the level of mathematical sophistication required for the solution, and the desired level of accuracy.

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The spring stiffness constant of the spring is 1276.44 N/m.

We know that Hooke’s Law is given by, F = -kx, where F is the force applied to an object, x is the displacement caused by the force, and k is the spring constant.

Therefore, the spring stiffness constant of the spring is given by k = -F / x.Let us first determine the potential energy of the ball, which will be equal to the kinetic energy of the ball when it strikes the spring. We can use the formula, PE = mgh, where m is the mass of the ball, g is the acceleration due to gravity, and h is the vertical distance fallen by the ball.

Therefore, the potential energy of the ball is given by,PE = mgh= 2.60 kg × 9.81 m/s² × 0.55 m= 14.38 JNow, the ball will transfer all its potential energy to the spring, which will store it as potential energy in the form of elastic potential energy. Therefore, the elastic potential energy stored in the spring is given by, PE = (1/2)kx², where x is the compression of the spring.

Therefore, we have,PE = (1/2)kx²

= (1/2)k (0.15 m)²

= 0.01125 k J

Setting the two expressions for PE equal to each other, we get,1

4.38 J = 0.01125 k JK

= (14.38 J) / (0.01125 J/k)

= 1276.44 N/m

Therefore, the spring stiffness constant of the spring is 1276.44 N/m.

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Answer:

75 cm/second.

Explanation:

Formula:

Walking speed = stride length / time per step

Walking speed = 90cm/time per step

                         = 90cm/1.2 seconds (a common estimate time per step)

                         = 75cm/second.

Answer:

22.22 m/s

Explanation:

Your goal is to cancel the terms so that you are only left with m and s:

\(\frac{80km}{h} *\frac{h}{60min}*\frac{min}{s}*\frac{1000m}{km}\\ \\\)

= 22.2222...m/s

Answer:

Force

Explanation:

Only a force can cause a stationary object to move or a moving object to change its speed or direction.