Kelly shoots a rock in a sling shot horizontally at 12.5 m/s from the top of a 30.0 m high building. How far from the base of the building does the rock hit?

Answer:

1.) Displacement = 32.08m

2.) Velocity = 55km/h

3.) Acceleration = 94.29 km/h^2

Explanation:

Given that the train takes 35 minutes to cover the distance between the two towns. The train's average speed is 55 kilometers per hour. That is,

Time t = 35 minute

Convert it to hours by dividing it by 60

35/60 = 7/12 hours

Speed = 55 km/h

The displacement of the car is:

Displacement = 55 × 7/12 = 32.08 m

The velocity of the car will be 55 km/h

The acceleration of the car will be:

Acceleration = velocity/time

Substitute velocity and time into the formula

Acceleration = 55 ÷ 7/12

Acceleration = 94.29 km/h^2

Answer:

Explanation:

Evolution/Advancement on the off chance that you see,then you will find this is a definitive revelation of science.It demonstrated that how people came into the world.How different creatures endure and from where they have hit on where they are today.All such things are the piece of development process.

New things advanced consistently from the past one and its a slow process.For anything to sprout you need a seed.As per the scientist,evolution is a reality and it is a steady procedure and it is happening.There are scarcely any situations where in the old harvest can yield new assortment as well.This is something many refer to as advancement only.Its a ceaseless process.Whatever comes,it accompanies certain misstep or zones of improvement,so if there happens to be a few changes would prompt improvement of new thing.

In the event that you see at an early stage,worms were available ,from where the fish came,then some went ahead land and began adjusting the progressions require to make due on land,started strolling on legs,developed lungs,then likewise there were advancement of the considerable number of things require to proceed with the life.All are the piece of development as it were.

hence,Darwin said,that natural selection can prompt evolution.This is likewise evident that so as to address the issue of food and nutrition,everybody works and as long as you get those needs,there will be development in all aspects.Similarly happened to the antiquated occasions when advancement occurred.

Hence,The development is truth and is a continuous procedure according to the science.When you go to demonstrate some case,there are consistently a point from where new methodology can be shaped and can prompt another disclosure.

If we consider the theory of evolution then we can say that it’s a proven theory, the reason people says that scientists don’t prove anything is because of the fact that they always implement “Precautionary principle” in their research finding.

Answer:

.

Explanation:

The acceleration is of mother before child reaches half a revolution is,
a) 0.42 radians per second squared b) 0.42 radians per second squared

If both are moving in the same direction, the relative velocity of the child with respect to the mother is the angular velocity of the carousel, which is 2π radians per minute. The mother needs to cover the same distance as the child in half the time, so her relative velocity with respect to the child must be twice the angular velocity of the carousel, which is 4π radians per minute.

To calculate the required acceleration, we can use the formula: acceleration = (final velocity - initial velocity) / time. Since the mother starts from rest and reaches a velocity of 4π radians per minute, the final velocity is 4π radians per minute. The time to cover half a revolution is 30 seconds. Therefore, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

If both are moving in opposite directions, the relative velocity of the child with respect to the mother is the sum of their individual angular velocities. Since the mother is moving in the opposite direction to the carousel, her angular velocity is -2π radians per minute. Therefore, the relative velocity is (2π - (-2π)) = 4π radians per minute.

Using the same formula as before, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

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--The complete question is, A carousel completes 1 revolution every minute. A mother realizes that her child is about to fall and starts moving to protect him when the child already has a 90-degree lead. What acceleration must she reach to catch up with him before the child completes half a revolution? a) If both are moving in the same direction? b) If both are moving in opposite directions?--

Answer:

It looks like its moving north.

Explanation:

Answer:

A. body builder

Explanation:

The diameter of the tube needed for the water level to rise one tube diameter due to surface tension is approximately 1/12 inch, calculated using the formula d = 2T cos(θ) / (ρgh) where T, θ, ρ, and g are given values.

The rise of the water level in the tube due to surface tension is given by the formula:

h = 2T cos(θ) / (ρgd)

where h is the rise in the water level, T is the surface tension of water, θ is the contact angle (in this case, θ = 0°), ρ is the density of water, g is the acceleration due to gravity, and d is the diameter of the tube.

We can rearrange this formula to solve for d:

d = 2T cos(θ) / (ρgh)

where we have used g = 32.2 ft/s^2 as the acceleration due to gravity and ρ = 62.4 lb/ft^3 as the density of water at 60 °F.

The surface tension of water at 60 °F is approximately T = 5.11 x 10^-2 lb/ft.

Substituting the given values into the formula for d, we get:

d = 2 * 5.11 x 10^-2 lb/ft * cos(0°) / (62.4 lb/ft^3 * 32.2 ft/s^2 * 1 ft) ≈ 0.001 ft

Therefore, the diameter of the tube needed for the water level to rise one tube diameter due to surface tension is approximately 0.001 ft or 1/12 inch.

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The correct differential equation governing the vibrations is u"/8 + 48 u/5 = 0. Therefore, option b) is correct.

We are given that a mass of 4 lbs stretches the string by 5 inches in equilibrium.
Using Hooke's law, we can find the spring constant k:

F = kx,

where F is the force, k is the spring constant, and x is the displacement.

In this case, F = 4 lbs and

x = 5 inches.

Now, convert the displacement to feet:

x = 5 inches (1 foot / 12 inches)

= 5/12 feet.

Calculate the spring constant k:

4 = k( 5/12),

which results in k = 48/5 lbs/ft.

The differential equation for the motion of a mass-spring system is given by:

m u" + k u = 0,

where m is the mass and u is the displacement of the mass.

Converting the mass from lbs to slugs (mass in the imperial system):

mass = 4 lbs (1 slug / 32 lbs)

= 4/32 slugs.

Plug the values of mass and spring constant into the equation:

(4/32) u" + (48/5) u = 0.

Now, simplify the equation to get the differential equation governing the vibrations:

u"/8 + 48u/5 = 0.

So, the correct answer is option b) u"/8 + 48 u/5 = 0.

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False. The statement that the resistances measured in the experiment are very small and less than 1 Ω cannot be determined solely based on the information provided.

The values of resistance in an experiment can vary widely depending on the specific setup and components used.

Resistances can range from very small values (less than 1 Ω) to extremely large values, depending on the context and purpose of the experiment. Additional information about the specific experiment and its components would be needed to make a definitive statement about the resistances being measured.

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Answer:

a = 0.175 m/s^2

Explanation:

From newtons eauations of motion we know

v=u+at

here v= final velocity, u= initial velocity, a = acceleration, t= time

u = o( initialy object must be at rest)

therefore, 3.5 = 0+ a(20)

⇒ a = 3.5/20 =0.175 m/s^2

(c) T. The period of oscillation remains unchanged even when the mass of the bob is increased to 4.0m.

The period of oscillation of a simple pendulum is primarily determined by its length (l) and the acceleration due to gravity (g). The mass of the bob does not play a significant role in the oscillation period. The formula for the period of a simple pendulum is given by:
T = 2π √(l/g)
In this scenario, the mass of the bob is initially m, and the period is T. When the mass of the bob is replaced by one with mass 4.0m, the formula for the period remains the same since the mass does not influence the period:
T' = 2π √(l/g)
Comparing the initial period (T) and the new period (T'), we can see that both formulas are identical, which means the period remains the same:
T = T'
Hence, the correct answer is (c) T. The period of oscillation remains unchanged even when the mass of the bob is increased to 4.0m.

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Answer:

Accurate at 99.9999746%

Explanation:

First of all, let's calculate how many seconds we have in a year which has 365 days.

1day = 24 × 60 × 60 seconds = 86400 s

Thus, for 365 days, we have;

86400 × 365 = 31536000 seconds

Now, since 1 year has 31536000 seconds, let's find the ratio of efficiency.

We are told that the watch manufacturer claims that its watches gain or lose no more than 8 seconds in a year. Thus, efficiency is given by;

Efficiency = (8/31536000) × 100% = 0.00002536783 %

Thus, it will be be accurate at;

100% - 0.00002536783% ≈ 99.9999746%

Beyond global warming, the two major ecological effects of increased \(CO_{2}\) are Ocean Acidification and Changes in Plant Physiology

Ocean Acidification: Increased \(CO_{2}\) levels in the atmosphere lead to increased absorption of \(CO_{2}\) by the oceans, resulting in ocean acidification. When \(CO_{2}\) dissolves in seawater, it forms carbonic acid, lowering the pH of the water. This decrease in pH affects marine organisms, particularly those with calcium carbonate shells or skeletons, such as corals, shellfish, and some plankton species. The lower pH hinders their ability to form and maintain their calcium carbonate structures, making them more vulnerable to dissolution. This can disrupt marine ecosystems, impacting food chains and biodiversity.

Changes in Plant Physiology: Elevated \(CO_{2}\) levels can affect plant physiology by influencing photosynthesis and water use efficiency. Higher \(CO_{2}\) concentrations stimulate photosynthesis in many plant species, leading to increased plant growth and biomass. This can have implications for carbon sequestration and vegetation patterns. However, the stimulation of photosynthesis is often accompanied by a decrease in stomatal conductance—the openings on plant leaves that regulate gas exchange. Reduced stomatal conductance can reduce water loss through transpiration but may also limit the intake of other gases necessary for plant growth, such as nitrogen. This imbalance in water and nutrient uptake can affect plant species composition, nutrient cycling, and ecosystem dynamics.

These ecological effects occur due to the direct and indirect impacts of increased \(CO_{2}\) levels on various biological processes. Understanding these mechanisms is crucial for assessing the long-term implications of rising \(CO_{2}\) concentrations and developing strategies to mitigate their ecological consequences.

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Answer:

It's A

As the Gizmo shows, the Moon orbits at an angle relative to the plane of Earth's orbit. Usually, the Moon is above or below the Earth when an eclipse could happen. Every six months or so, the Moon, Earth and Sun are lined up sufficiently to create a lunar and a solar eclipse.

Answer:

A

Explanation:

The Moon's orbit is tilted relative to the plane of the Earth's orbit. About every six months, the Sun, Moon and Earth are aligned enough for a solar and a lunar eclipse to occur.

The scan that examines the current security in a passive method is called a Vulnerability Assessment (VA) scan.

A Vulnerability Assessment scan is a process of identifying and assessing vulnerabilities within a system, network, or application. It is typically performed using automated tools that scan the target environment for known vulnerabilities, configuration weaknesses, and security holes. Unlike active scanning techniques that actively probe the system and may generate network traffic, a VA scan operates in a passive manner, observing the system without actively interacting with it.

During a Vulnerability Assessment scan, the automated tool examines the target environment by analyzing network traffic, configurations, system logs, and other sources of information to identify potential vulnerabilities. It compares the collected data against a database of known vulnerabilities and security weaknesses to determine if any matches exist.

The passive nature of a VA scan makes it non-intrusive, as it does not generate additional traffic or perform active actions that could potentially impact the system's performance or stability. It allows organizations to assess their current security posture, identify vulnerabilities, and prioritize remediation efforts without disrupting the normal operation of the environment.

The results of a Vulnerability Assessment scan provide insights into the security weaknesses present in the system, enabling organizations to take appropriate measures to address and mitigate those vulnerabilities. This may include applying security patches, reconfiguring systems, updating software versions, or implementing additional security controls to protect against potential threats.

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At an altitude of 50km, you would expect the sky color to be a darker shade of blue, almost black.

This is because the atmosphere becomes thinner as you go higher in altitude, leading to less scattering of sunlight.

The lower atmosphere's blue color can be explained by several factors, including Rayleigh scattering and absorption of light. Rayleigh scattering occurs when sunlight interacts with gas molecules and small particles in the atmosphere. This scattering is more effective for shorter wavelengths of light, such as blue and violet.

However, our eyes are more sensitive to blue light, which is why we perceive the sky as blue. Additionally, some of the violet light is absorbed by the ozone layer, further contributing to the sky's blue appearance.

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Answer:

horizontal

Explanation:

because is straight

The shape of the position-time graph is required.

The shape of the graph will be a horizontal line.

In a position time graph the x axis represents the time and y axis represents the position.

The slope of the line in a position time graph gives the velocity.

\(m=\dfrac{\Delta y}{\Delta x}\)

If an object is not moving slope of the given line will be zero.

\(0=\dfrac{\Delta y}{\Delta x}\)

This is only possible when \(\Delta y=0\)

This is the case when the line is a horizontal line with no change in the value of \(y\)

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Answer:

Explanation:

2

empty space or vaccum the Electro magnetic wave travels the fastest.

Increasing the number of slits in a diffraction grating can sharpen the maxima because it increases the constructive interference between the diffracted waves.

When light passes through a diffraction grating, it is diffracted into several orders of maxima, which are bright spots on a screen where the diffracted waves constructively interfere with each other. Each order of maxima corresponds to a different angle of diffraction, which depends on the spacing between the slits in the grating, the wavelength of the light, and the angle of incidence.

As the number of slits in the grating increases, the spacing between the slits decreases, which leads to a greater phase difference between the diffracted waves. This means that the waves interfere more constructively at the angles of diffraction corresponding to the maxima. This constructive interference results in sharper and more intense maxima, which are more distinct and easier to observe.

In other words, the increased number of slits in the grating creates a more finely spaced pattern of interference, which enhances the contrast between the bright maxima and dark regions of destructive interference. Therefore, increasing the number of slits in a diffraction grating can sharpen the maxima and improve the resolution of the diffracted light.

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The work done on the filled bucket in raising out of the hole is 2, 925 Joules

Using the formula:

Work done = force * distance

Note that force = mass * acceleration

F = mg + ma

F = 4. 5 * 10 + 28 * 10

F = 45 + 280

F = 325 Newton

Distance = 9m

Substitute into formula

Work done = 325 * 9

Work done = 2, 925 Joules

Therefore, the work done is 2, 925 Joules

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The electric field at the surface of a balloon is determined by the charge and the radius of the balloon. Assuming the charge remains constant while the diameter is doubled, the radius of the balloon will also double.

The electric field at the surface of a charged sphere is given by:

E = k × (Q / r^2)

Where:

E is the electric field,

k is the Coulomb's constant (a proportionality constant),

Q is the charge,

r is the radius of the sphere.

Since the diameter is doubled, the radius is also doubled. Let's denote the original radius as r1 and the new radius as r2. We can express the relationship between r1 and r2 as r2 = 2 × r1.

Therefore, the electric field at the surface of the inflated balloon with twice the diameter is:

E2 = k × (Q / r2^2) = k × (Q / (2 × r1)^2) = k × (Q / 4 × r1^2)

Comparing E2 to the original electric field at the surface of the balloon (E1), we can see that the electric field at the surface is reduced by a factor of 1/4 when the diameter is doubled while keeping the charge constant.

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4.266 m is the radius of the circular path the electron follows

Electron's speed = 7.50 × 10⁶ m/s

Magnetic field, B = 1 × 10⁻⁵ T

Electron's mass. m = 9.11 × 10⁻³¹

Charge of electron, q = 1.6 × 10⁻¹⁹

We know the relation of radius of curvature, = 4.266 m

Every point on a circle has a curvature that is equal to the reciprocal of the radius; for other curves (and straight lines, which can be thought of as circles of infinite radius), the curvature is equal to the reciprocal of the radius of the circle that at that point most closely approximates the curve.

The curvature's reciprocal, R, is the radius of curvature in differential geometry. It is equal to the radius of the circular arc that, at that moment, most closely resembles the curve for a curve. The radius of curvature for surfaces is the diameter of a circle that, individually or in combination, best fits a normal section.

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The law that governs the conservation of electric charge in a closed system is known as the law of conservation of charge.

According to this law, the total amount of electric charge in a closed system remains constant and cannot be created or destroyed. As for how objects can change their charges in a closed system, it is because the distribution of electric charge can change.

For example, when two objects with different electric charges are brought into contact, electrons can flow from one object to the other until both objects have the same electric potential. This transfer of electrons results in a change in the charge of each object, but the total charge remains the same.

Another way objects can change their charges is through the process of ionization, where an atom loses or gains electrons, resulting in a change in the electric charge of the atom. Again, the total charge remains constant, as the lost or gained electrons must go somewhere.

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If a 10-kg crate is on a plane that is inclined at an angle of 45°. The coefficient of friction is 0.1, and the approximate rate of the box's acceleration would be 6.242 m/s².

When two physical objects' surfaces come into contact, a force called friction acts to hinder or oppose the relative motion of the items.

A 10-kg container is on a plane that is 45° inclined, as stated in the issue. The downhill direction is positive and the coefficient of friction is 0.1.

The force along the surface of the inclined plane,

ma = mgsin45° - 0.1×mgcos45°

a = 9.81(0.707  - 0.0707)

  = 6.242 m/s²

The acceleration of the block would be  6.242 m/s².

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Answer:

emissions line spectrum

Answer:

Explanation:

Total distance covered  = 25 + 15 = 40 m

Total time = 15 + 8 = 23 s

Average speed = total distance covered / total time

= 40 / 23

= 1.74 m / s

Total displacement = 25 - 15 = 10 m

Total time = 15 + 8 = 23 s

Average velocity = total displacement / total time

= 10 / 23

= .434 m / s to the right .

The average speed of the student is approximately 1.74 m/s, and the average velocity is approximately -1.74 m/s (to the left).

Given:

Distance to the right = 25 m

Time taken to the right = 15 s

Distance to the left = 15 m

Time is taken to the left = 8.0 s

To calculate the average speed and average velocity, we need to use the following formulas:

Average speed = Total distance traveled ÷ Total time taken

Average velocity = Displacement ÷ Total time taken

Calculate the total distance traveled:

Total distance = Distance to the right + Distance to the left

Total distance = 25 + 15 = 40 m

Calculate the total time taken:

Total time = Time taken to the right + Time taken to the left

Total time = 15 + 8.0 = 23 s

Calculate the average speed:

Average speed = Total distance ÷ Total time

Average speed = 40 ÷ 23 = 1.74 m/s

Calculate the displacement:

Displacement = Final position - Initial position

Displacement = (-15 ) - 25  = -40 m

Calculate the average velocity:

Average velocity = Displacement ÷ Total time

Average velocity = -40 ÷ 23  ≈ -1.74 m/s

So, the average speed of the student is approximately 1.74 m/s, and the average velocity is approximately -1.74 m/s (to the left). The negative sign in the average velocity indicates that the student's net direction is to the left.

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Answer:

the pollution

Explanation:

because is making big consecuences in the world

If I could solve one of  the world's greatest problems, then I would  like to choose pollution problem.

I would choose the pollution problem to be solved because it affects various natural resources of the environment.

Pollution is one the biggest issue in the world these days and It is rising day by day. It affects the environment directly or indirectly.

There are various types of pollution. Some of thees are

The main cause of water pollution is various toxic substances got mixed in various water resources.

Similarly Air Pollution happens because of the harmful gases and substances present in the air.

Noise pollution occurs due to the sound of machines, loud musics and sound of vehicles.

Every human being should take steps to solve the issue of the pollution.

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To determine the magnitude of current flowing through a copper wire, we can use the equation that relates current, drift velocity, and the cross-sectional area of the wire.

In Example 20.3 of the textbook, it is stated that the current (I) is given by the equation:

I = n * A * v * q

Where:

I is the current,

n is the number density of charge carriers (electrons in this case),

A is the cross-sectional area of the wire,

v is the drift velocity of the charge carriers,

q is the charge of an electron.

Given that the drift velocity (v) is 1.40 mm/s and the diameter of the wire is 1.700 mm, we can calculate the cross-sectional area (A) of the wire. The diameter of the wire is twice the radius, so the radius (r) is 1.700 mm / 2 = 0.850 mm = 0.850 × 10^(-3) m.

The cross-sectional area (A) of the wire can be calculated using the formula for the area of a circle:

A = π * r^2

Substituting the values, we have:

A = π * (0.850 × 10^(-3))^2

Now we can calculate the current (I) using the known values for the number density (n) and the charge of an electron (q):

I = n * A * v * q

Remember to convert all units to SI units (meters and coulombs) for accurate calculations.

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