7. If PV=1000,EV=1200, and AC=1300, the project is: a. Ahead of schedule and under budget b. Ahead of schedule and over budget c. Behind schedule and over budget d. Behind schedule and under budget 8. If CPI=1.1 and SPI=0.95, then the trend for the project is: a. Running over budget but ahead of schedule b. Running over budget but behind schedule c. Running under budget but ahead of schedule d. Running under budget but behind schedule

Given:

The mass of the ball is

The initial height of the ball is

The initial speed of the ball is

To find:

the impact speed of the ball when it strikes the ground

Explanation:

The initial potential energy of the ball is

The initial kinetic energy is

The final energy of the ball is fully kinetic energy. Let the final impact speed of the ball is

We can write, using the energy conservation principle that

Hence, the final impact speed of the ball is 46.1 m/s.

Force is a push or pull that changes or attempts to change the shape or size of an object's position.

F = m × a

Here

F= Force

m= mass of object

a= Acceleration

Answer: Depth does not classify soils. Soil color and other properties including texture, structure, and consistence are used to distinguish and identify soil layers.

Happy to help! (0.<)

Explanation:

The depth parameter is  does not used to classify the soil in different region. Texture, color and structure are used to characterize the soil type.

The method of classifying soil involves dividing it into groups where the behaviors of the soils within each group are the same under a certain set of physical conditions.

Engineers can use soil classification to comprehend and evaluate a particular soil's performance and determine whether the soil is suitable for particular engineering applications.

The classification of soli include  based on grain size textural classification,  AASHTO classification system,  Unified soil classification system. AASHTO classification system is developed by  Bureau of Public Roads for the classification of soil for the highway subgrade use.

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The “sum of forces” acting on a cart can be explained as the net force or resultant force acting on it. This term refers to the total amount of force acting on an object, considering both the direction and magnitude. The cart's acceleration is influenced by this force, which is critical in the laws of physics.

The following is a description of the “sum of forces” acting on a cart: The sum of forces can be calculated using the formula F = ma, where F is the force acting on the cart, m is the mass of the cart, and a is the acceleration produced by the force. If there is more than one force acting on the cart, it is necessary to calculate the net force, which is the sum of all the forces acting on the cart.
The sum of forces can be split into two components: internal and external forces. Internal forces are those generated within the object, whereas external forces are exerted by other objects. The frictional force between the wheels of the cart and the surface is an example of an internal force acting on the cart.
The gravitational force exerted by the Earth is an example of an external force acting on the cart. If there are more than two forces acting on the cart, vector addition must be used to determine the net force.
The sum of forces acting on the cart is critical in the laws of physics. If the sum of forces acting on the cart is zero, it implies that there is no net force acting on it, and it is either stationary or moving at a constant velocity. If the sum of forces is nonzero, it implies that there is a net force acting on the cart, and it is either accelerating or decelerating.

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The percentage of weight that should be in front of the trailer is 60%

According to the GMC Trailering Guide, to get the right trailer tongue weight, you should concentrate about 60% of the load evenly on the front half of the trailer. 60% of the trailer load should be in front of the axle and 40% behind it. This ensures the correct weight of the tongs and prevents the trailer from rocking. Weight distribution should be as efficient as possible by placing 60% of the weight in the front of the trailer and 40% in the rear. There are some additional safety precautions to consider. 

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Answer:

609.6 cm is the answer

Answer:

Distance travel s = 296.8 m

Explanation:

Given:

Initial velocity u = 6.5 m/s

Constant acceleration a = 2.1 m/s²

Time T = 14 s

Find:

Distance travel s

Computation:

s = ut + (1/2)at²

s = (6.5)(14) + (1/2)(2.1)(14)²

s = 91 + 205.8

Distance travel s = 296.8 m

Answer:

I know

Explanation:

it gets filterd out

Given,

The work done by the engine, W=23 kJ

The time it takes for the engine to do the given amount of the work, t=1800 s

The power is the time rate of change of transfer of energy or the energy transferred in unit time. Thus the power supplied by the engine can be calculated as the ratio of the work done to the time.

Thus the power supplied by the engine is given by,

On substituting the known values,

Thus the power supplied by the engine is 12.78 W.

Answer:

1. The bird close to the center

2. 4/25 of the original force.

Explanation:

1. Tangential velocity is v=w*d (in m/s), where w is the rotational speed, commonly denoted as the letter omega (in radians per second). d is the distance from the center of the rotating object to the position of where you would like to calculate the velocity (in meters).

As we can note, the furthest from the center we are calculating the velovity the higher it is, because the rotational velocity is not changing but the distance of the object with respect to the center is. If v=w*d, then the lower the d (distance) the lower the tangential velocity.

2. Take a look at the picture:

We have the basic equation for the gravitational force.

We have to forces: Fg1, which is the original force, and Fg2, the force when the mass and the distance changes.

If we consider that mass 2 didn't change (m2'=m2), mass 1 is four times its original (m1'=4*m1) and distance is 5 times the original (r'=5*r), then next step is just plugging it into the equation for Fg2.

Dividing the original force Fg1 by the new force Fg2 (notice you can just as well do the inverse, Fg2 divided by Fg1) gives us the relation between the forces, cancelling all the variables and being left only with a simple fraction!

Answer:

12 (Magnesium- Mg)

Explanation:

Looking at the four numbers, we have:

Magnesium, Silicon, Sulfur, and Chlorine.

We can eliminate two of the answers immediately just by looking at the periodic table.

Sulfur and Chlorine are on the nonmetal side of the periodic table. So that's definitely not it. That leaves Magnesium and Silicon.

Silicon is a Metalloid. Magnesium is an Alkaline earth Metal.

Metaloids are elements that have a mix of both metal and nonmetal properties (luster, how it feels, etc.). Since it's a MIX and Magnesium is just straight METAL-

We can say Magnesium has the most metallic properties.

hope this helps!!

AU is the distance from the earth to the sun, and solar mass represents a measurement equal to the mass of our sun.

The units applied in astronomy is quite different from the units applied in daily life. The unit called astronomical units (AU) describes the distance from the earth to the sun. The unit solar mass represents the mass of the sun and is taken to be equal to 1.989 x 10^30 kilograms.

Therefore, the difference between the AU and solar mass is that; AU is the distance from the earth to the sun, and solar mass represents a measurement equal to the mass of our sun.

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Answer:

Volume displaced by ducky = 75 mL = 7.5 x 10⁻⁵ m³

Mass displaced by the ducky = 7.5 x 10⁻² kg = 75 grams

Explanation:

The ducky will displace the volume of the water equal to its own volume.

Volume displaced by ducky = 75 mL = 7.5 x 10⁻⁵ m³

And the mass displaced by ducky will be equal to:

Mass displaced by the ducky = (Density of Water)(Volume displaced by ducky)

Mass displaced by the ducky = (1000 kg/m³)(7.5 x 10⁻⁵ m³)

Mass displaced by the ducky = 7.5 x 10⁻² kg = 75 grams

The impulse given to the ball is equal to the change in its momentum:

J = ∆p = (0.50 kg) (5.6 m/s - 0) = 2.8 kg•m/s

This is also equal to the product of the average force and the time interval ∆t :

J = F(ave) ∆t

so that if F(ave) = 200 N, then

∆t = J / F(ave) = (2.8 kg•m/s) / (200 N) = 0.014 s

Answer:

Force=mass × acceleration

or, acceleration=Force/mass

=2000/1500

:. Acceleration=1.33 m/s²

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This is electrostatic phenomenon. Chelsea see sparks as she removes her clothes from the clothes dryer because of static discharge.

Static electricity is produced by friction when two materials are rubbed together.

Why does Chelsea see sparks as she removes her clothes from the clothes dryer?

The correct answer is because of static discharge.

For instance, when a glass rod is rubbed with silk or cellulose acetate with silk, the glass will become positively charged by loosing electron to the silk whereby becoming negatively charged.

Static discharge occurs during thunder and lightning, and when combing our hair during harmattan season.

Therefore, Chelsea see sparks as she removes her clothes from the clothes dryer because of static discharge.

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Answer:

C) Static Discharge

Explanation:

The Mariner 4 spacecraft encountered a cloud of space dust during its mission to Mars in 1965.

Mariner 4 was the fourth spacecraft in NASA's Mariner program and the first to successfully conduct a flyby of Mars, sending back the first close-up images of the planet's surface.

On July 29, 1965, as Mariner 4 was approaching Mars, the spacecraft encountered a cloud of interplanetary dust particles. This caused some concern among mission controllers, as the dust particles could have potentially damaged the spacecraft's delicate instruments.

Fortunately, the spacecraft survived the encounter with the dust cloud and continued on to conduct its historic flyby of Mars on July 14, 1965. During the flyby, Mariner 4 captured 21 images of Mars, providing the first close-up views of the planet's surface and revolutionizing our understanding of our neighboring planet.

The encounter with the space dust cloud was just one of the many challenges faced by the Mariner 4 mission, but its successful navigation through it demonstrated the resilience and technological prowess of NASA's early space probes.

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To determine the x- and y-components of each vector, we can use trigonometry.

For vector A:

x-component = 230 cos(15°) ≈ 222.85

y-component = 230 sin(15°) ≈ 59.27

For vector B:

x-component = 120 cos(237°) ≈ -107.75

y-component = 120 sin(237°) ≈ -75.94

For vector C:

x-component = 212 cos(188°) ≈ 112.84

y-component = 212 sin(188°) ≈ -163.63

To determine the direction and magnitude of the resultant vector, we can add up the x- and y-components of each vector.

x-component = 222.85 - 107.75 + 112.84 ≈ 227.94

y-component = 59.27 - 75.94 - 163.63 ≈ -180.3

The magnitude of the resultant vector is given by the Pythagorean theorem:

resultant magnitude = sqrt((227.94)^2 + (-180.3)^2) ≈ 292.9

The direction of the resultant vector is given by the arctangent of the y-component over the x-component:

resultant direction = atan(-180.3/227.94) ≈ -38.5°

Therefore, the answers to the questions are:

To move left or right (x-direction only): A) 53.1 Left

To move up or down (y-direction only): C) 69.1 Down

To move away from starting point and at what angle: D) 88.3 < 233.

An angle is a geometric figure that is formed by two rays or line segments that share a common endpoint, known as the vertex of the angle. The rays or line segments are referred to as the sides or legs of the angle. The measure of an angle is typically given in degrees, which is a unit of measurement for angles. One complete revolution around a circle corresponds to 360 degrees, while a half revolution corresponds to 180 degrees.

Angles are used in various fields, including mathematics, physics, engineering, and architecture. They are used to measure and describe the orientation and direction of lines, planes, and surfaces.

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It is the product of the length and the linear charge density.

Linear charge density is defined as the amount of charge per unit length of the rod. Therefore, if we know the length of the rod and its linear charge density, we can easily calculate the amount of charge on that length of the rod by multiplying the two values.For example, if a rod is 2 meters long and has a linear charge density of 5 C/m, the amount of charge on the rod would be:Charge = Length x Linear Charge Density Charge = 2 m x 5 C/m Charge = 10 C .

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The correct answer is b. It is the product of the length and the linear charge density.

The amount of charge on a certain length of a rod that is uniformly charged can be determined by multiplying the length of the rod by its linear charge density. Linear charge density is defined as the amount of charge per unit length, and is expressed in units of Coulombs per meter (C/m). By multiplying the linear charge density by the length of the rod, we can determine the total amount of charge present on the rod. For example, if a rod has a linear charge density of 5 C/m and a length of 2 meters, the amount of charge on the rod would be 10 Coulombs (5 C/m x 2 m = 10 C). Therefore, option b is the correct answer as it describes the relationship between the charge and length of a uniformly charged rod.

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For this experiment on a solar collector, the variables include the following:

In Science, a variable can be defined as a measurable attribute or physical quantity that changes or varies across an experiment and as such can take on different numerical values.

For this experiment on a solar collector, there are different variables and these include the following:

Furthermore, you should determine both the greatest and smallest rate of temperature change for each of the trials by subtracting the initial temperature from the final temperature based on the numerical values obtained from this experiment.

In conclusion, the trial with the greatest numerical value has the greatest rate of temperature change while the trial with the smallest numerical value has the smallest rate of temperature change

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Complete Question:

1. What are the variables in this investigation?

2. Which trial had the greatest rate of temperature change?

3. Which trial had the smallest rate of temperature change?

The journey takes approximately 453.5 μs according to the cosmic ray itself. To determine the duration of the cosmic ray's journey as observed by the cosmic ray itself.

We need to account for time dilation caused by its relativistic motion. According to special relativity, time appears to dilate or slow down for an object moving relative to an observer at a significant fraction of the speed of light.

The formula to calculate time dilation is as follows:

\(t' = t / \sqrt{(1 - v^2/c^2)}\)

Where:

t' = Proper time experienced by the moving object (cosmic ray)

t = Time measured by the observer (experimenters on the ground)

v = Velocity of the cosmic ray relative to the observer

c = Speed of light

In this case, we know the distance traveled (60 km) and the time measured by the observers (390 μs). We need to calculate the velocity of the cosmic ray relative to the observer.

Given that the distance traveled is 60 km and the time measured by the observers is 390 μs:

Velocity (v) = Distance / Time

= 60 km / (390 μs)

\(= 60 * 10^3 m / (390 *10^{-6} s)\\\\= 153.85 * 10^6 m/s\)

Now we can calculate the time experienced by the cosmic ray:

\(t' = t / \sqrt{(1 - v^2/c^2)}\)

= 390 μs /\((1 - (153.85 *10^6 m/s)^2 / (3 * 10^8 m/s)^2)\)

Simplifying the expression:

t' = 390 μs / \(\sqrt{(1 - (2.3736 * 10^{16} / 9 * 10^{16})}\)

= 390 μs / \(\sqrt{(1 - 2.637 * 10^{-1})}\)

= 390 μs / \(\sqrt{(7.363 * 10^{-1}}\)

= 390 μs / \((8.58 * 10^{-1})\)

= 453.5 μs

Therefore, the journey takes approximately 453.5 μs according to the cosmic ray itself.

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The stunt coordinator needs to collect a variety of measurements in order to determine if the car will hit its target or not. He needs the height of the cliff, the mass of the car, and the speed of the car.

Correct option is 2.

These measurements are essential in order to accurately calculate the trajectory of the car when it is dropped from the cliff. The car's mass will affect its speed, while the speed will affect how far the car can travel. The height of the cliff will determine the starting point of the car's trajectory and the amount of time it will take for the car to reach the bottom.

If any of these measurements are incorrect, the stunt coordinator will not be able to accurately predict the path that the car will take. Therefore, it is necessary for the stunt coordinator to collect all of these measurements in order to know if the car will hit its target.

Correct option is 2.

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The stunt coordinator needs more measurements besides just the speed of the car, the mass of the car, and the height of the cliff. These factors also include the angle of launch, the trajectory of the stunt and various environmental factors.

The question involves understanding whether the stunt coordinator has collected all necessary measurements. The answer is 4) No, he needs to collect more measurements. Understanding whether a car will hit its target in a stunt involves various factors: the speed of the car, the angle of launch, the mass of the car, the height of the cliff, the trajectory of the stunt, and environmental factors like air resistance and wind. It's not just about the height of the cliff and the mass of the car or just the speed of the car. Therefore, more measurements and considerations are necessary to ensure the stunt's success.

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It reduces bias if In a double-blind study, neither researchers nor the participants are aware of which interpretation method is being used, which patients are receiving the actual treatment, and which

The correct answer is C

taking in the source language, recognising the deep structural meaning, using a contextual/schema screen, formulating/practicing the target language utterance, and creating the interpretation.

An interpreter, as the name implies, converts high-level computer code into code that a machine can understand (machine code) or into a higher-level language that can be quickly executed. The interpreter reads every line of code before converting or directly executing it.

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The potential difference between the plates is 1.61 x 10^-19 V, and plate A is at the higher potential. It is higher than B,

The kinetic energy gained by an electron when accelerated through a potential difference can be calculated using the formula:

ΔKE = qV

Where ΔKE is the change in kinetic energy, q is the charge of the electron, and V is the potential difference. Rearranging the formula, we have:

V = ΔKE / q

Given that ΔKE = 6.45 x 10^-16 J and the charge of an electron q = 1.6 x 10^-19 C, we can substitute the values into the formula:

V = (6.45 x 10^-16 J) / (1.6 x 10^-19 C)

≈ 4.03 V

≈ 4.03 x 10^-19 V

The potential difference between the plates is approximately 4.03 x 10^-19 V. Plate A is at the higher potential since the electron gains kinetic energy when moving from plate A to plate B.

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Answer:

Acceleration is (48-14)/40 m/s² = 34/40 m/s² = 0.85 m/s²

The acceleration acting on the train during this time of travel is 0.85m/s²

HOW TO CALCULATE ACCELERATION:

Where;

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The force required to stretch the spring an additional 4.00 cm is 10 N.

The force required to stretch an ideal spring is given by Hooke's law, which states that the force is proportional to the displacement:

F = kx

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

To find the spring constant k, we can rearrange Hooke's law as:

k = F / x

Substituting the given values, we get:

k = 5.00 N / 0.02 m = 250 N/m

Now we can use Hooke's law again to find the force required to stretch the spring an additional 4.00 cm:

F = kx = (250 N/m) (0.04 m) = 10 N

Therefore, the force required to stretch the spring an additional 4.00 cm is 10 N.

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The schematic of an electric circuit is clear and standardized while the artist drawing depicts a higher level of the features.

This can be defined as a path along which the whole current flows through each component.

The schematic shows the connections and components in an electrical circuit and how they are connected while the artist drawing shows how the features mentioned together with how they are arranged.

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Answer:

The sailboats average speed was 13 mph.

Explanation:

To calculate the speed of the boat first calculate the total ammountof hours it took the boat to get to its destination. Then divide 144 by that number which comes out to 13.

The average speed of the sailboat is determined as 12 miles per hours.

The average speed of an object in motion is obtained by dividing the total distance traveled by the object with the time spent in the entire journey.

v = total distance/total time

where;

v = 144/12

v = 12 mph

Thus, the average speed of the sailboat is determined as 12 miles per hours.

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The container that would have the least volume is container B.

Evaporation is the process by which a liquid changes into a vapor (a gaseous state) due to the conversion of its surface molecules to a gaseous state.

This occurs when the energy of the liquid's surface molecules exceeds the energy required for the molecules to escape from the liquid's surface into the air as a vapor.

The rate of evaporation is influenced by several factors, including temperature, wind speed, humidity, and the surface area of the liquid. For example, increasing the temperature of a liquid or exposing more of its surface area to the air will increase the rate of evaporation.

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