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The velocity of the weights immediately before they hit the stack is 3.4672 ft/s

1 Lb = 0.453 kg

24 = 24 x 0.453

= 10.872kg

Therefore the m = 10.872

g = 9.87

m1 = 10.872/9.87

m1g = 1.112

T = 5 lb

= 5 x 0.453 = 2.265kg

m1g = T + 2T

1.112a = 10.872 - 3(2.265)

a = 3.66m/s²

initial velocity = 0

6x 2.54

= 15.24x10⁻²m

v² = 0+ 2as

v = √2as

v = √2x3.66x 15.24x10⁻²

= √1.1174

= 1.0571

a meter is equal to 3.28 ft

v*m = 1.0571 * 3.28

= 3.4672 ft/s

The velocity of the weights immediately before they hit the stack is  3.4672 ft/s.

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Answer:

(adjective)

produced by the internal heat of the earth.

{thermal means heat}

Answer:

i think 1844

Explanation:

2005 BMW 5 Series , that should be it

Answer:

The power developed by the man to ride the bicycle at constant speed is  0.2927 hp

Explanation:

Given the data in the question;

weight of cyclist and bicycle W = 220 lb

speed  v = 10 mph = 14.6667 ft/s

Angle of inclination θ = tan⁻¹( 5% ) = tan⁻¹( 0.05 ) = 2.86°

Now we calculate the power developed by the man,

Power = W( dh / dθ  )

Power = W( vsinθ )

we substitute

Power = 220 lb( 14.6667 ft/s × sin( 2.86 )

Power = 220 lb( 14.6667 ft/s × 0.04989569 )

Power = 160.997 ft.lb/s

Power = 160.997 ft.lb/s ( 1hp / 550 ft.lb/s )

Power = 0.2937 hp

Therefore, The power developed by the man to ride the bicycle at constant speed is 0.2927 hp

The total combinations are possible is 125 combinations.

We need to know about math combinations to solve this problem. The combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed. It can be written as

nCr = n! / (r!(n-r)!)

where n is object and r is a sample

From the question above, we know that

1  vitamin supplement chosen has combination

5C1 = 5! / 1!(5-1)! = 5 combination

1 meditation chosen has combination

5C1 = 5! / 1!(5-1)! = 5 combination

and 1 dietary chosen has combination

5C1 = 5! / 1!(5-1)! = 5 combination

Hence, the total combination is

C = Cvitamin x Cmeditation x Cdietery

C = 5 x 5 x 5

C = 125 combinations

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Answer:

it gives pressure this makes it stay where it has to be and lock it

Explanation:

yan llng alam ko

The operator region of the lac operon is cis-dominant, meaning that a mutation in this region will affect the expression of the nearby genes on the same chromosome but not on the other chromosome.

In the lac operon, the operator (O) and the promoter (P) are cis-acting elements that are cis-dominant. This means that their effects are limited to the same DNA molecule where they are located, and that mutations in these regions affect only the expression of adjacent genes on the same DNA molecule.The operator is a cis-acting DNA sequence that is located downstream of the promoter and upstream of the structural genes lacZ, lacY, and lacA. The operator binds to the repressor protein, which prevents RNA polymerase from binding to the promoter and transcribing the structural genes.The promoter is a cis-acting DNA sequence that is located upstream of the structural genes. The promoter binds RNA polymerase and initiates transcription of the structural genes.

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The most likely creep mechanism at high temperatures and low applied stresses is "dislocation motion (climb)". Option e is answer.

This mechanism involves the movement of dislocations through the lattice structure of a material, which leads to deformation or strain. When high temperatures and low applied stresses are present, the movement of dislocations through the lattice structure becomes the dominant mechanism for creep.

Other creep mechanisms such as crack propagation, grain boundary diffusion, and bulk diffusion are more likely to occur under different conditions such as low temperatures, high applied stresses, or in materials with specific microstructures. Understanding the dominant creep mechanism is important in designing and selecting materials for high-temperature applications where creep resistance is critical.

Option e is answer.

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The simplest way to deploy a security template on several computers simultaneously is by "importing the security template into a GPO".

Group Policy Objects (GPOs) are used to manage multiple computers in an Active Directory (AD) environment. Importing a security template into a GPO is a straightforward process that allows for the creation of a centralized security configuration that can be applied to multiple computers at once. Once the security template is imported into a GPO, it can be linked to the appropriate organizational unit (OU) or domain, and the security settings will be applied to all computers within that OU or domain. This method is much more efficient than saving a copy of the template to each computer, which would require manual updates and management of each copy.

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Answer:

structured

Explanation:

Overcurrent devices with a 20A or lower rating are used to protect the conductors that are housed inside the conduit.

A material or medium that permits the flow of electricity is known as an electrical conductor. When voltage is provided, electrical charge carriers, often electrons or ions, travel effortlessly from atom to atom in a conductor.

The ease with which electric current passes through materials such as metals and nonmetallic is characterized by conductance. A capital G is used in equations to represent conductance. Siemens (S), originally referred to as mho, is the common unit of conductance.

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To determine the x and y components of the force exerted by member ab on the pin at using scalar notation, we first need to know the magnitude and direction of the force.

Once we have this information, we can use trigonometry to find the x and y components.
Unfortunately, the question does not provide any information about the magnitude or direction of the force, so we cannot provide a specific answer. However, we can explain the process for finding the x and y components using scalar notation.
Scalar notation is a way of expressing a vector in terms of its magnitude and direction. In this case, we would need to know the magnitude of the force and its direction.
in order to determine the x and y components of the force exerted by member ab on the pin at using scalar notation, we would need to know the magnitude and direction of the force. We could then use trigonometry to find the x and y components.

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The temperature and pressure of an ideal gas are directly proportional

The pressure of the system should be in the range B) 94 psig

The given refrigerator parameters are;

The temperature of the system and the surrounding, T₁ = 75 °F = 237.0389 K

The pressure to which the system was charged with nitrogen, P₁ = 100 psig

The temperature to which the system dropped, T₂ = 50 °F = 283.15 K

The required parameter;

The pressure, P₂, of the system at 50°F

Method:

The relationship between pressure and temperature is given by Gay-Lussac's law as follows;

At constant volume, the pressure of a given mass of gas is directly proportional to its temperature in Kelvin

Mathematically, we have;

\(\dfrac{P_1}{T_1} = \mathbf{\dfrac{P_2}{T_2}}\)

Plugging in the values of the variables gives;

\(\mathbf{\dfrac{100 \ psig}{297.0389}} = \dfrac{P_2}{283.15}\)

Therefore;

\(P_2 = \mathbf{283.15 \, ^{\circ}F \times \dfrac{100 \ psig}{297.0389\ ^{\circ}F} \approx 95.3 \, ^{\circ}F}\)

The closest option to the above pressure is option B) 94 psig

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(a) The hazards in this circuit are:

(b) The redesigned three-level NOR circuit should look like this:

A B C | Y 0 0 0 | 1 0 0 1 | 0 0 1 0 | 0 0 1 1 | 0 1 0 0 | 0 1 0 1 | 0 1 1 0 | 0 1 1 1 | 0

A parachute is essential for skydiving because it helps to slow the skydiver's descent and creates a more stable aerodynamic shape in the air. This helps to reduce the risk of injury or death due to the skydiver spinning out of control.

Additionally, the parachute's canopy helps to reduce oscillations, providing a more balanced descent. This is especially important when skydiving in areas with high winds that could otherwise cause the skydiver to be thrown off course. The parachute also creates a larger surface area for the air to flow through, increasing the drag and slowing the skydiver's descent. Ultimately, the parachute helps to ensure a safe and controlled skydive.

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A) The solid length is 5.9 in. B) The force required to close the spring solid is 0.063 psi. C) The factor of safety is 2543.

The solid length of a helical compression spring is calculated using the equation
Ls = Nd + 0.25Dn + 0.5Lf,

where Nd is the total number of active coils, Dn is the wire diameter and Lf is the free length of the spring.

For this spring, the solid length is calculated as follows:
Ls = 12 * 0.2 + 0.25 * 0.2 + 0.5 * 5 = 5.9 in.

(b) The force required to close the spring solid is calculated using the equation
F = k * (Ls – Lf), where k is the spring rate and Ls is the solid length.

The spring rate is calculated as follows:
k = G * d4 / 8D3, where G is the modulus, d is the mean coil diameter and D is the wire diameter.

For this spring, the spring rate is calculated as follows:
k = 11.6 * (2 / 8) * (0.2)3 = 0.069 mpsi.

The force required to close the spring solid is then calculated as follows:
F = 0.069 * (5.9 – 5) = 0.063 psi.

(c) The factor of safety at solidity is calculated using the equation
FS = Fmax / F, where Fmax is the maximum operating force and F is the force required to close the spring solid.

For this spring, the factor of safety is calculated as follows:
FS = 160 / 0.063 = 2543.

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To determine the value of force P required at C in the figure, we can use the moment-area method. The moment-area method involves calculating the area of the moment diagram for the beam and then using it to find the deflection at a given point. We know that the vertical deflection at C needs to be zero, so we can set up an equation using the moment-area method to solve for P.

First, we need to calculate the moment diagram for the beam. From the diagram, we can see that the moment at C is -PL/2. Next, we need to calculate the area of the moment diagram between points A and C. This area is equal to -PL^2/8.

Using the moment-area method equation, δ = (M * L^2) / (2 * EI), we can solve for P. We know that the deflection at C needs to be zero, so we can set δ = 0. We also know that the moment at C is -PL/2, so we can substitute that in for M.

0 = (-PL/2 * L^2) / (2 * EI) * P

Solving for P, we get P = -4EI/L^3. Therefore, the value of force P required at C in the figure if the vertical deflection at C is to be zero is -4EI/L^3.

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We require further details about the circuit and its components in order to validate the calculated analytical matrix solutions for forces F1, F2, and F3.

According to KVL, all source voltages in a closed circuit must add up to the same amount as all voltage drops. When current moves from the higher potential terminal to the lower potential terminal, voltage drops happen.

| 1 2 1 | 4 |

| 3 -4 -2 | 2 |

| 5 3 5 |-1 |

| 1 2 1 | 4 |

| 0 -10 -5 | -10 |

| 0 -7 0 | -21 |

-7I2 = -21

Solving for I2, we get:

I2 = 3

Substituting this value into the second row, we get:

-10I2 - 5I3 = -10

Substituting I2 = 3, we get:

-10(3) - 5I3 = -10

Solving for I3, we get:

I3 = 2

Substituting the values of I2 and I3 into the first row, we get:

I1 + 2(3) + 2 = 4Solving for I1, we get:

I1 = -2

Therefore, the solution for the system of equations is:

I1 = -2 milliamperes

I2 = 3 milliamperes

I3 = 2 milliamperes

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Answer:

The final velocity of the rocket is 450 m/s.

Explanation:

Given;

initial velocity of the rocket, u = 0

constant upward acceleration of the rocket, a = 18 m/s²

time of motion of the rocket, t = 25 s

The final velocity of the rocket is calculated with the following kinematic equation;

v = u + at

where;

v is the final velocity of the rocket after 25 s

Substitute the given values in the equation above;

v = 0 + 18 x 25

v = 450 m/s

Therefore, the final velocity of the rocket is 450 m/s.

The color code of a resistor (from band 1 through band 4) is brown-black-orange-gold. The approximate value of the resistor is 10 kohms (10,000 ohms). Therefore the correct option is option C.

The first band denotes the first digit of the resistance value, the second band is the second digit of the resistance value, the third band is the number of zeros in the resistance value, and the fourth band is the tolerance value.

The formula for calculating the resistance value of a resistor is given as, R = AB × 10^C± D Where, A = First digit of the resistance value B = Second digit of the resistance value C = Number of zeros in the resistance value D = Tolerance value

If we use the given color code of the resistor (brown-black-orange-gold), we get the following values: A = 1B = 0C = 1 (number of zeros = 3)D = ± 5%Now, applying the formula of resistance, we get,

R = AB × 10^C= 10 × 10^3= 10,000 ohms or 10 kohms (since 1 kohm = 1000 ohms) Therefore, the approximate value of the resistor is 10 kohms (10,000 ohms). Therefore the correct option is option C.

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Answer:

\( \therefore \) The power output of the draw-works motor is 4.36 hp

Explanation:

Given that,

As the problem given, the cable is tied of the top on the oil rig and it wraps around the lower pulley and the top pulley. So, we will be using the formula below:

Differentiate it but with respect to the time. Therefore,

Thus,

Thus, the power output should be

\( P = Fv = \bigg(\frac{600}{2}\bigg) \cdot 8 = 2400 \ lb \cdot ft/s = \frac{2400}{550} = 4.36 \ hp \)

\( \therefore \) The power output of the draw-works motor is 4.36 hp

Pressure altitude is the vertical distance above the standard datum plane, whereas Density altitude is the height in the International Standard Atmosphere at which the air density is equal to the actual air density at the place of observation.

Pressure Altitude Pressure Altitude is a term used to describe the altitude of an aircraft above a given datum plane. It is measured by an altimeter that has been calibrated to read pressure rather than altitude. This is because pressure is directly proportional to the altitude, and so changes in pressure can be used to determine changes in altitude. Density Altitude Density Altitude is the altitude in the International Standard Atmosphere (ISA) at which the air density is equal to the actual air density at the place of observation.

It is affected by the air temperature, atmospheric pressure, and humidity, and is usually higher than the pressure altitude.Q2: The effect of pressure, humidity, and temperature on air density is described below:Air Pressure: When air pressure increases, air density also increases.Humidity: Humidity decreases air density because water molecules are lighter than air molecules and displace some of the air molecules in a given space.Temperature: When air temperature increases, air density decreases. Conversely, when air temperature decreases, air density increases.Q3: The primary factors that affect the performance of an aircraft are the following:Thrust: The forward force that propels the aircraft forward. Weight: The downward force exerted on the aircraft due to gravity.

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The answer for the ideal mechanical advantage and actual mechanical advantage for the different scenarios are;

A) Ideal Mechanical Advantage = 18.67

B) Actual Mechanical Advantage = 4.1067

We are given;

Input distance; The diameter of the wheel; d_w = 14 inches

Output distance; The diameter of the axle that drives the wheel; d_a = 3/4 inches

The force needed to cut a one-inch-thick softwood board; F = 1.75 pounds

The efficiency of the band saw; η = 22% = 0.22

A) Formula for Mechanical advantage is;

M.A = Force output/Force input = (Input distance)/(Output distance)

Thus;

Ideal mechanical advantage = 14/(3/4)

Ideal mechanical advantage = 18.67

B) Now, we are given that efficiency of the band saw is η = 22% = 0.22.

Thus using the mechanical advantage formula above;

Actual mechanical advantage = 0.22 × Expected output

Actual mechanical advantage = 0.22 × 18.67

Actual mechanical advantage ≈ 4.1067

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The volume of cuboid in cubic feet which must be ordered is equal to 5,600 cubic feet.

Given the following data:

Length of helicopter landing pad = 40 ft.

Width of helicopter landing pad = 70 ft.

Height or thickness of helicopter landing pad = 2 ft.

Based on the information provided, we can reasonably infer and logically deduce that the shape of this helicopter landing pad is a cuboid.

Mathematically, the volume of a cuboid can be calculated by using this following formula:

Volume = l × w × h

Where:

Substituting the given parameters into the formula, we have;

Volume = 40 × 70 × 2

Volume = 5,600 cubic feet.

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Answer:

Explained below

Explanation:

Perfect Elastic Plastic in steel design is simply a method whereby the structural members are selected using the criteria of the overall ultimate capacity of the system. However, when safety is considered, the applied loads are usually increased by factors of safety as prescribed in the relevant steel design codes. Therefore, this model of design is just based on the yield capacity of the steel.

Answer:

----------

Explanation:

Ancient machines have paved the way for improvement by being the foundation for change. these machines made it possible to find flaws so in the next generations, they could fix, develop, and produce better quality machines. eventually this process has reached the present time but after today, the process will continue to produce even better quality machines than the time before. I hope this helps!

As the temperature of wire increases, the electrical resistance of wire increases. The correct option is B.

The resistance is the property of material which opposes the current through the wire to pass.

A complete circuit is left on for several minutes causing the connecting copper wire to become hot.

The resistance is directly proportional to the temperature. So, when temperature is increased, the resistance of a wire also increases. The current will have more opposition to flow.

Thus, the correct option is B.

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