a ball is thrown horizontally from the roof of a building 45 m building and lands 105 m from the base od the building, what is the velocity just before it hits the ground

Density is the ratio of mass to volume of an object. To calculate the density of the moon, we will use the formula:ρ = m/V where ρ is the density, m is the mass, and V is the volume.

The volume of a sphere is given as:V = (4/3)πr³where r is the radius of the sphere. The diameter of the moon is given as 3475 km,  its radius is:r = (3475/2) km = 1737.5 km = 1.7375 x 10⁶ m Substituting the values of m and V in the formula for density,

we have:ρ = m/V= (7.35 x 10²² kg)/[(4/3)π(1.7375 x 10⁶ m)³]= 3.35 g/cm³ , the density of the moon is approximately 3.35 g/cm³.b) .

We can calculate the final velocity of the car by using the formula:v² = u² + 2 as where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.

Substituting the values given, we have:v² = (0 m/s)² + 2(4.5 m/s²)(110 m)= 990 m²/s² Taking the square root of both sides, we get:v = √(990 m²/s²)≈ 31.4 m/s  , the final velocity of the car is approximately 31.4 m/s.

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Answer:

2.5=10xm is the correct one

Explanation:

Answer:

-14

Explanation:

Answer:

melanie ran 8.3 meters per second

Explanation:

I think thats right, hope it helps.

Given parameters:

Mass of object = 6.7kg

Velocity  = 8m/s

Unknown parameter:

Kinetic energy  = ?

Energy is defined as the ability to do work. There are two forms of energy;

Kinetic and potential energy.

Kinetic energy is the energy due to the motion of a body. Whereas, potential energy is the energy due to the position of a body usually at rest.

Kinetic energy is mathematically expressed as;

             Kinetic energy  = \(\frac{1}{2} m v^{2}\)

where m is the mass of the body

           v is the velocity of the body

Since we have been given both mass and velocity, input the parameter to solve for the unknown;

            Kinetic energy  = \(\frac{1}{2}\) x 6.7 x 8²   = 214.4‬J

So the kinetic energy of the body is  214.4‬J

In part (b), the filling process is unable to meet the tolerance limits 99.7% of the time, and it does not achieve Six Sigma quality levels.

a. To calculate the process capability ratio (Cp) in part (a), we use the formula:

Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

Given:

Mean = 64 ounces

Standard Deviation = 8 ounces

Upper Specification Limit = 71 ounces

Lower Specification Limit = 57 ounces

Cp = (71 - 57) / (6 * 8) = 14 / 48 = 0.2917 (rounded to four decimal places)

To determine the standard deviation required for the process to meet the tolerance limits 99.7% of the time, we use the Z-score corresponding to a 99.7% confidence level, which is approximately 3.

Z = (Upper Specification Limit - Mean) / Standard Deviation

Rearranging the formula, we can solve for the standard deviation:

Standard Deviation = (Upper Specification Limit - Mean) / Z

Standard Deviation = (71 - 64) / 3 = 7 / 3 = 2.3333 (rounded to four decimal places)

b. In part (b), with the improved process having a standard deviation of 1.5 ounces, we can recalculate the process capability ratio using the same formula:

Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

Using the same specification limits as before:

Cp = (71 - 57) / (6 * 1.5) = 14 / 9 = 1.5556 (rounded to four decimal places)

To determine if the filling process is able to meet the tolerance limits 99.7% of the time, we compare the new Cp value to the critical value of 2. Since Cp is less than 2, the process does not provide Six Sigma quality levels.

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The linear speed due to Earth's rotation of a point on the equator, on the Arctic Circle (latitude 66.5° N), and at a latitude of 42.0° N is 1670 km/h, 1046 km/h, and 1210 km/h, respectively.

Linear speed is the distance travelled by an object in a given time period. It is expressed as meters per second (m/s), kilometers per hour (km/h), and so on. Due to Earth's rotation, the velocity of an object varies with latitude. An object situated at the equator has the greatest linear speed, while an object situated at the poles has the least linear speed. It takes the Earth roughly 24 hours to complete one rotation around its axis, causing a 24-hour day for people living on Earth.

A point on the Earth's equator travels the whole circumference of the Earth in one day, which is 40,075 km. To calculate the linear speed of a point on the equator due to the Earth's rotation is found using the formula:

linear speed = distance/time

= 40,075 km/24 hours= 1670 km/h

Similarly, the linear speed of a point on the Arctic Circle (latitude 66.5° N) due to the Earth's rotation can be found as follows:

Since the Arctic Circle is around 6600 km from the equator, the distance to travel in a day is the circumference of the circle with a radius of 6600 km. Thus, the distance travelled in a day is:

distance = 2πr

= 2 x π x 6600 km

= 41,494 km

The linear speed due to Earth's rotation at this latitude is then:

linear speed = distance/time

= 41,494 km/24 hours

= 1046 km/h

Similarly, for a latitude of 42.0° N, the distance that needs to be covered in one day is:

distance = 2πr cos(latitude)

= 2 x π x 6400 km cos(42°)

= 33,905 km

The linear speed due to Earth's rotation at this latitude is then:

linear speed = distance/time

= 33,905 km/24 hours

= 1210 km/h

Therefore, the linear speed due to Earth's rotation at a point on the equator is 1670 km/h, on the Arctic Circle (latitude 66.5° N) is 1046 km/h, and at a latitude of 42.0° N is 1210 km/h.

Your question is incomplete, but most probably your full question was

What is the linear speed, due to the Earth’s rotation, of a point

a. on the equator,

b. on the Arctic Circle (latitude 66.5° N) and

c. at a latitude of 42.0° N?

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Answer:

A) a = 73.304 rad/s²

B) Δθ = 3665.2 rad

Explanation:

A) From Newton's first equation of motion, we can say that;

a = (ω - ω_o)/t. We are given that the centrifuge spins at a maximum rate of 7000rpm.

Let's convert to rad/s = 7000 × 2π/60 = 733.04 rad/s

Thus change in angular velocity = (ω - ω_o) = 733.04 - 0 = 733.04 rad/s

We are given; t = 10 s

Thus;

a = 733.04/10

a = 73.304 rad/s²

B) From Newton's third equation of motion, we can say that;

ω² = ω_o² + 2aΔθ

Where Δθ is angular displacement

Making Δθ the subject;

Δθ = (ω² - ω_o²)/2a

At this point, ω = 0 rad/s while ω_o = 733.04 rad/s

Thus;

Δθ = (0² - 733.04²)/(2 × 73.304)

Δθ = -537347.6416/146.608

Δθ = - 3665.2 rad

We will take the absolute value.

Thus, Δθ = 3665.2 rad

Answer:

Displacement a combination of distance

Explanation:

I'm not sure eh

The horizontal velocity of the ball as it rolled off the table was 6. 74 m/s.   We can use the equation v = r * ω to solve for the horizontal velocity of the ball, where v is the horizontal velocity, r is the radius of the ball, and ω is the angular velocity of the ball (which we can assume to be constant).

The time it took the ball to hit the ground is given as 0. 45 seconds, and the distance it traveled is given as 0. 72 meters.

We can rearrange the equation v = r * ω to solve for ω:

ω = v / r

Plugging in the values we have, we get:

ω = (0. 72 m / 0. 45 s) * (1 s/m)

= 1. 54 rad/s

Now we can use the equation v = r * ω to solve for the horizontal velocity:

v = r * ω

= 0. 45 m * 1. 54 rad/s

= 6. 74 m/s

Therefore, the horizontal velocity of the ball as it rolled off the table was 6. 74 m/s.  

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The scientist would look out for patterns and connections. Option D

We define data as a set of facts that we can obtain from a study. We know that scientists are always engages in some kind of study and the reason for the study is that they want to obtain the reasons for certain occurrence.

It is common that when we present a professional scientist with a data set, what first comes to mind is that we need to find the patterns that are in the data set as well as the connections.

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When you use a simple machine to do work, distance increases and force decreases.

option A.

Simple machines are devices that change the direction or magnitude of a force to make work easier.

In other words, simple machines make our work easier by overcoming a large load when a small force is applied.

Examples of simple machines include;

These machines allow us to exert less force over a greater distance to accomplish a task.

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Answer:

the resultant vector will be a null vector or with 0 magnitude

Explanation:

The principle whereby any single cone system is colorblind, in the sense that different combinations of wavelength and intensity can result in the same response from the cone system, is known as color constancy.

The cone system refers to one of the two photoreceptor systems in the human eye responsible for color vision. Cones are specialized cells in the retina that respond to different wavelengths of light and allow us to perceive color. The cone system is responsible for our ability to see fine detail and color in bright light conditions.

There are three types of cones, each sensitive to a different part of the color spectrum, which combine to allow us to see a wide range of colors. The cone system is most effective in daylight conditions and is responsible for our ability to see color in detail. In dim light conditions, the rod system takes over, allowing us to see in low light but without the ability to perceive color or fine detail.

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electric lines of pressure are the important thing idea that turned into employed to conquer the issue.

Use the truth that an electric field always extends outward from a fine price as a start line. The fact that the electrical traces of force continually factor toward the bad charge will later be useful. eventually, create the drawing based on the instances.

wonderful charge to bad charge is the route in which the electric strains of pressure are always oriented. because the electric discipline constantly factors from negative charge to superb charge, draw the photograph thus.

parent 1 is visible below:

The truth that the electric discipline traces always factor from wonderful to terrible charge is used to create the lines with out accounting for engaging in spheres. knowing that there is a accomplishing sphere between the plates allow you to draw the diagram.

determine 2 is seen below:

The drawing makes use of the conducting sphere this is sandwiched among the parallel plates.

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Answer:

A

Explanation:

Hopefully this helps

Answer:

A

Explanation:

Answer:

\( \longrightarrow \boxed{ \boxed{ \tt{6000 \: s}}}\)

Hope this helps! <3

-------- HappY LearninG ! --------

Answer:

\(-\frac{1}{2}\)

Diverging lens

Explanation:

Given parameters:

Power of lens  = -2.0D

Unknown:

Focal length  = ?

Solution:

The power of lens is the reciprocal of the focal length;

   P  = \(\frac{1}{f}\)

where  f is the focal length

 f  = \(\frac{1}{P}\)   = \(-\frac{1}{2}\)

The lens is a diverging lens

The proof of third equation of motion is determined as  v² = 2as + u².

The proof of third equation of motion is determined as follows;

The first equation is given as;

v = u + at

t = ( v - u ) /a

where;

The formula for the average distance traveled by an object is;

s = (v + u)/2  x  t

Expand the equation above as;

s = (v + u)/2 x  (v - u)/a

s = (v² - u²) / 2a

2as = v² - u²

v² = 2as + u², proved

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The length of a wire in a 0.86 T field that carries a current of 1.4A and experiences a force of 13 N is 14.2-m.

What is the force experienced by a wire when it is placed in a magnetic field and carries an electric current? When a wire is placed in a magnetic field and carries an electric current, it experiences a force known as magnetic force. The formula for magnetic force on a wire is given by:F = BILsinθWhere:F = Magnetic forceB = Magnetic field strength I = Electric currentL = Length of wire in the magnetic fieldθ = Angle between the wire and the magnetic field directionIf we substitute the given values into the above equation, we have:F = (0.86 T)(1.4 A)(L)sin90° = 1.204L NSince F = 13 N, then:13 N = 1.204L NL = 13/1.204L = 10.7981-m≈14.2-mTherefore, the length of the wire in a 0.86 T field that carries a current of 1.4A and experiences a force of 13 N is 14.2-m.

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Answer: stop the experinment and begin again sometimes the result of the experiment may give you unexpected results due to the fact that you may have missed a certain step or you didn't follow the procedure accurately to the dot, hence it's important to redo the experiment and see if every step was followed accurately before you can discard the results or change the procedure.

Explanation:

Answer:

d

Explanation:

Answer:

Yes

Explanation:

Thank you

Answer: The whole of it was owned originally by the lord of the manor. He lived in the big house called the manor house. Attached to it were many acres of grassland and woodlands called the park. These were the "demesne lands" which were for the personal use of the lord of the manor.

The lord of the manor previously owned the entire property. He resided in the substantial home known as the manor house.

Thus, The park, which covered many acres of grassland and trees, was connected to it. These "demesne lands" belonged to the lord of the manor and were used exclusively for his exclusive purposes.

The word "manor" is derived from the Old French word "manoir," which means "dwelling place," but a manor isn't just any old house.

The homes and grounds of the nobility were referred to as manors back when people still had titles of nobility. expressing to someone that his home is a manor is the equivalent of expressing that it is so lavish and beautiful that it could have belonged to a lord.

Thus, The lord of the manor previously owned the entire property. He resided in the substantial home known as the manor house.

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A 10-degree Celsius dew point depression corresponds to an altitude of approximately 1000 meters.

According to the Earth Science Reference Tables, an air mass with a temperature of 20 degrees Celsius and a dew point temperature of 10 degrees Celsius must rise by about 1000 meters before a cloud can form.

This is because the difference between the temperature and dew point temperature is known as the dew point depression. Clouds are formed when air ascends and undergoes cooling until it reaches the temperature at which water vapor begins to condense, known as the dew point temperature.

The dew point depression in this case is 10 degrees Celsius. If an air mass rises, it will cool, and as the air cools, it will approach its dew point temperature. Once the air reaches its dew point temperature, water vapor in the air will begin to condense into visible droplets. This is how clouds form.

Therefore, the difference between the temperature and dew point temperature gives us an idea of how high an air mass must rise before a cloud can form. For every 1000 feet an air mass rises, it cools about 3.5 degrees Fahrenheit.

Therefore, a 10-degree Celsius dew point depression corresponds to an altitude of approximately 1000 meters.

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Answer:

In projectile motion, the velocity along the x-axis is constant.

Explanation:

In case of projectile motion the vertical component of particle's velocity changes continuously because of the force acting in vertical direction which is its own weight.

But in the horizontal direction as there is no force acting on the object; therefore its horizontal velocity remains constant.

Answer:

E = 98 J

Explanation:

Given that,

The mass of a ball, m = 1 kg

It is being suspended 10m above the ground & is then dropped.

We need to find the ball's kinetic energy just before it hits that ground. The conservation of energy holds here. It means, the kinetic energy just before it hits that ground is equal to its potential energy i.e.

\(E=mgh\\\\E=1\times 10\times 9.8\\\\E=98\ J\)

so, the required energy is 98 J. Hence, the correct option is (b) "98 J".

The magnetic field at a point near the center of the solenoid can be calculated using the formula B = μ₀ * n * I, where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current in the windings.

First, we need to find the number of turns per unit length, which can be calculated by dividing the total number of turns by the length of the solenoid.
n = 600 / 15.00 cm = 40 turns/cm
Next, we need to convert the radius of the solenoid from centimeters to meters, as the unit for permeability is in Tesla meters per ampere (Tm/A).
r = 2.50 cm = 0.025 m
Now we can plug in the values into the formula: B = μ₀ * n * I
B = (4π * 10^-7 Tm/A) * 40 turns/cm * 8.00 A
B = 0.0402 T
Therefore, the magnetic field at a point near the center of the solenoid is 0.0402 T, which corresponds to option D in the given choices.

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The three main approaches to the identification of unknown bacteria are as follows:Phenotypic identification, Molecular identification and Biochemical identification

1. Phenotypic identification

Phenotypic identification involves the physical and chemical characteristics of the bacterial colonies and cells. In this method, bacterial cells are studied through microscopy, their ability to grow on various types of media, cellular morphology, and other factors that are easy to observe.

2. Biochemical identification

Biochemical identification is based on the biochemical reactions of bacteria. This method involves the use of different chemical and biochemical tests to identify the bacteria. The tests are designed to identify specific enzymes or metabolic pathways. The results of the tests are then used to identify the bacteria.

3. Molecular identification

Molecular identification involves the use of DNA analysis to identify bacteria. In this method, the DNA of the bacterial cells is isolated and analyzed. This method has become popular in recent years due to its accuracy and speed.

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The magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

The rotational analog of linear momentum is angular momentum also known as moment of momentum or rotational momentum.

It is significant in physics because it is a conserved quantity. the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.

The magnitude of the angular momentum of the two-satellite system is best represented as;

L=∑mvr

L=m₁v₁r₁-m₂v₂r₂

Hence, the magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

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Answer:

B -- a single electron or one of two or more electrons in the outer shell of an atom that is responsible for the chemical properties of the atom.

Explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

The electrons in the outermost shell available for bonding are known as valence electrons. Therefore, option (B) is correct.

Valence electrons can be described as the electrons occupying the valence shell or outermost shell of an atom while the electrons filled in the inner shell are known as core electrons. Lewis structures can be helpful to evaluate the valence electrons and know the nature of bonds.

Valence electrons can be filled in several electron shells and these electrons participate in the interaction between atoms and lead to the formation of bonds.

Only electrons filled in the outermost or valence shell can participate in the formation of a chemical bond and set the trend of the reactivity of the element. Valence electrons participate in bonding to achieve the noble gas configuration.

Therefore, valence electrons are the electrons in the outermost shell available for bonding.

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