The fuel for a jet engine has a density of 1.32 slug/ft3. if the total volume of fuel tank a is 50 ft3, determine the weight of the fuel when the tanks are completely full?

The mass of the object is 13.924 lbf.

Using the formula:

w = m x g ....... eq1

here w is weight of the object.

m is mass of the object, and

g is the acceleration of gravity.

mass, m = 14 lbm (given)

acceleration of gravity, g= 32.0 ft/[tex]s^{2}[/tex]

Now, substituting the values in equation (1):

w = 14lbm x 32.0 ft/[tex]s^{2}[/tex] = 448 lbm ft/[tex]s^{2}[/tex]

since, 1 lbf = 32.174 lbm ft/[tex]s^{2}[/tex]

so, w = 448 x [tex]\frac{1}{32.174}[/tex]

w = 13.924lbf

Hence, the mass of an object is 13.924 lbf.

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By using uniform motion, the acceleration of plane is - 10.45 m/s² .

We need to know about the uniform motion to solve this problem. The uniform motion is the motion of an object which has acceleration applied. It can be determined as

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time interval and s is displacement.

From the question above, we know that:

vi = 115 m/s

vt = 0

t = 11 s

By using first equation, we can calculate the acceleration

vt = vo + a . t

0 = 115 + a . 11

11a = -115

a = - 10.45 m/s²

Hence, the acceleration of plane is - 10.45 m/s² .

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An 0.075 c point charge's surrounding gaussian surface's electric flux  is 8.5 ×10⁹Nm²/C.

In three dimensions, the Gaussian surface is referred to as a closed surface where the flux of a vector field may be determined. The gravitational field, the electric field, or the magnetic field are all examples of these vector fields.

We build a fictitious Gaussian surface around the supplied surface when the surface of which an electric field or flux must be established is asymmetrical or the surface area is challenging to obtain, such as the surface area for an infinitely long wire or plane. The Gaussian surface is said to utilize symmetry the best.

When a charge q is surrounded by a gaussian surface, the electric flux that passes through it is

[tex]\phi=q / \epsilon 0[/tex]= 0.075 / ( 8.85 ×10⁻¹²)

= 8.5 ×10⁹Nm²/C.

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Mutation provides the raw material for evolution because it can create new alleles, which are alternative forms of the same gene.

A mutation is a variation or change that occurs spontaneously in the sequence of the genes that make up the deoxyribonucleic acid (DNA).

Mutations can occur at three different levels:

In biology, a gene is a unit composed of a chain of deoxyribonucleic acid (DNA) that contains the necessary information to transfer hereditary traits from one generation to the next.

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The time taken for the APUSH textbook to hit the ground is determined as 0.55 seconds.

The time of motion of an object is the time taken for the object to travel from its initial point to the final point.

The time taken for the APUSH textbook to hit the ground is calculated as follows;

t = √(2h/g)

where;

t = √(2 x 1.5/9.8)

t = 0.55 seconds

Thus, the time taken for the APUSH textbook to hit the ground is determined as 0.55 seconds.

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A thermometer that consistently measures five degrees cooler than the actual temperature is reliable but not valid.

A thermometer is a device used to measure temperature or a temperature gradient (the degree of hotness or coldness of an object). A thermometer is made up of two essential parts: a temperature sensor that adapts to changes in temperature (such the bulb in a mercury-in-glass thermometer or the pyrometric sensor in an infrared thermometer), and a means to convert this change into a numerical value. In order to monitor processes, thermometers are frequently employed in technology, industry, meteorology, medicine, and scientific study.

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A frame of reference is just a set of coordinates that are used in the study of physics to calculate things like position and velocity. Axes that specify the three dimensions of space within the frame of reference are often included in such a frame.

A railway platform is an illustration of an inertial frame of reference. The platform doesn't move, hence it satisfies the requirement for not accelerating. The platform's objects move according to the law of inertia.

An acceleration with respect to an inertial frame characterizes a non-inertial reference frame. In general, an accelerometer at rest in a non-inertial frame will pick up a non-zero acceleration. While all inertial frames share the same laws of motion, non-inertial frames have different laws of motion depending on the acceleration. For example, let's imagine you are driving through a stop signal in an automobile. The automobile has stopped moving. The automobile accelerates when the light turns green. The car is not an inertial frame of reference when it is accelerating. You will feel yourself "pushed" into the seat if the acceleration is significant enough.

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Acceleration is not the same as speeding up. It refers to any modification of motion's direction or speed. Accelerated motion is any movement that is not constant speed in a straight line.

In physics, acceleration refers to the rate at which an object's velocity over time changes. They are accelerations and vector quantities. The direction of an object's acceleration is determined by the direction of the net force acting on it.

Depending on whether an object is moving faster, slower, or in a different direction, its velocity may change. Examples of acceleration include a falling apple, the moon orbiting the earth, and a car that has stopped at a stop sign.

Acceleration is the measure of a change in velocity. Acceleration frequently, though not always, denotes a shift in speed. The direction of motion is changing, therefore an object moving at a constant speed in a circular path is still moving ahead.

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The airplane lands with a velocity of 150 m/s and its rate of deceleration is constant at -3 m/s^2,

[tex]u = 150 m/s[/tex]

[tex]a = -3 m/s^{2}[/tex]

[tex]v = 0[/tex]

According to the Equation of motion , [tex]v^{2} = u^{2} + 2as[/tex]

s = 3750 m

Equations of motion are the mathematical formula that describes the position, velocity, or acceleration of a body relative to a given frame of reference.

The airplane will have to travel 3750 m until it stops if its rate of deceleration is constant at -3 m/s^2.

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The photon energy excite the hydrogen atom when its electron is in the ground state −13.6eV.

The second energy level is -3.4 eV.

Therefore, if we calculate the energy levels E₁ & E₂

E₂ − E₁ = -3.4 eV − -13.6 eV = 10.2 eV

Hence, the above expression shows, to excite the electron from the ground state to the first excited state. Similarly

The energy of the electron in ground state is −13.6eV.and the energy required to move electrons from ground state to third excited state is 12.75eV.

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The correct answer is  their difference in the charge to  mass ratio  a mass spectrometer, a compound is first vaporized and converted into ions .

Mass spectrometry is a technique for determining the mass-to-charge ratio (m/z) of one or more molecules in a sample. These measurements are frequently used to calculate the precise molecular weight of the sample components.

The speed at which positively charged ions move through a vacuum chamber toward a negatively charged plate is measured by mass spectrometers. ToF, magnetic sector, and quadrupole mass spectrometers are all commonly used in SIMS instrumentation.The MS/MS has three major advantages: the ability to study numerous molecules regardless of whether they are from the same structural family or not; the ability to highlight the specific metabolites of a disease; and it is an automated technique that allows for large-scale analysis.

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87.69 grams of calcium metal is required to react with 7.75 g water to produce calcium hydroxide and hydrogen gas.

Ca (OH)2+2H2 = CaH2 + 2H2O

Convert grams of hydrogen to moles of hydrogen.

H2 has a molar mass of 2.016 g/mol.

1 mol H2 x 8.400g H2

2.016g H2 equals 4.1667 mol H2

Calculate the moles of CaH2 using the molar ratio.

The molar ratio is 1 mol CaH2: 2 mol H2, according to the equation that is balanced.

2.0833 mol CaH2 = 4.1667 mol H2 1 mol CaH2 2 mol H2

grams of CaH2 to CaH2

CaH2 has a molar mass of 42.09 g/mol.

1.mol CaH2=87.69 g CaH2 2.0833mol CaH2=42.09 g CaH2

87.69 g CaH2 are required for the reaction.

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The coefficient of kinetic friction is 0.255.

The ratio of the friction force to the normal force felt by a body moving on a dry, uneven surface is known as the kinetic friction coefficient (k).

Wb = Mg = 12 X 9.8 = 117.6 N. = Normal

force, Fn.

Fx-Ff = Ma.

Since the velocity is constant, the acceleration is zero.

Fx-Ff = MX0 = 0.

Ff = Fx = 30 N.

Ff = uXFn.

u = Ff/Fn = 30/117.6 = 0.255.

The coefficient of kinetic friction is 0.255

Kinetic friction is a force that exists between moving surfaces. A body moving on the surface feels a force in the reverse direction of its movement. The magnitude of the force is determined by the kinetic friction coefficient of the two materials.

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Explanation:

physics allow us to understand the electromagnetic radiation we used to transmit data with fibre optics and satellites and to build computers that interpret those signals and transmit data on the internet

Isaac Newton developed gravitational theory and used the theory to describe the orbits of celestial bodies

Newton's law describes the "strength of the force of gravity between two objects," which decreases as one moves away from light. It is mathematically recognized as an "inverse square law."

The following process for picturing the field drop-off is to envision the field of gravity around an object as a set of concentric spheres. Each sphere represents the same volume of the gravitational field, but the spheres furthest from the object are larger, resulting in the same volume of field is distributed thinly over a larger area.

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i don't know.

Explanation:

because i don't want responde

Answer: Tree

Explanation: Cause they don't have mouth to drink water they just have root

The complete statement is → At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.

We have a statement regarding summer solstice in northern hemisphere.

We have to complete the statement using appropriate words.

A Solstice that marks the onset of summer. To be more precise, 21st June in northern hemisphere marks the summer solstice and 22nd December in southern hemisphere marks the Summer solstice.

According to the question, we have -

At the summer solstice in the northern hemisphere, the sun ____.

The given sentence can be completed as →

At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.

On this day, there is more daylight. During the summer solstice in northern hemisphere, the north pole is shifted 23.4° toward the Sun which lasts until the autumnal equinox (September 22 or 23) where it ends.

Hence, the complete statement is → At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.

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The average fixed cost per unit at an activity level of 5,200 units is $6.00.

The average fixed cost (AFC) is fixed cost that does not change with the change in the number of goods and services produced by a company. To put it in a nutshell, average fixed cost (AFC) is the fixed cost per unit and is calculated by dividing the total fixed cost by output level.

Since no cost is fixed for a long time, average fixed cost is only for a short run. When units of production increase, the average fixed cost per unit decreases. Similarly, when the business produces less units, average cost increases per unit.

However, only one unit, mostly capital, is fixed. Examples of average fixed cost are the salaries of permanent employees, mortgage payment on machinery and plant, rent, more.

Average Fixed Cost Formula:

AFC = Total fixed cost/Output (Q)

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Answer: 25000 milligrams are in 25 grams

Explanation:

Answer:

25,000

Explanation:

Since 1 gram is 1,000 milligrams, multiply 25 x 1,000 to get the answer.

Wave speed decreases by half while the frequency remains constant.

                           [tex]\begin{aligned}\\\small v_1 &=\small f.\lambda_1\quad\cdots\cdots(1)\\\\\small v_2 &=\small f.\frac{\lambda_1}{2}\quad\cdots\cdots(2)\\\\(2)\div&(1)\\\\\small v_2 &=\small \frac{v_1}{2}\end{aligned}[/tex]

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The force exerted by the pump is 4533.33 N

Force can be define as, that it is an external agent capable of changing an object's state of rest or motion. In a very simple word i.e. a push or pull upon an object resulting from the object's interaction with another object is also known as force and it is vector quantity . The unit of force F is Newton (N) .

F = ma

Here, F  is force, m is mass and a is acceleration of the object.

We are given that ,

The power of water pump = P = 3.4 × 10² watts

The rate of water to lift up = v = 7.5 ×10⁻²  m/s

Thus, to get the value of force F exerted by the pump to lift water up can be given as,

P = F × V

Where, p is the power , F is the force and V is the velocity of the pump. Since, the above equation can be express as,

F = P/V

F = (3.4 × 10² watts)/ (7.5 × 10⁻² )m/s

F = 4533.33 N

Therefore, the force exerted by the pump to lifted up water would be 4533.33N

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The final magnification will be 400-fold or 400 times the original size of the object.

For magnifying smaller objects, a compound microscope is used.

A compound microscope consists of an objective and an eyepiece, whose diagram is shown in the adjoining image.

The lens  near  the object is called an objective and the other one is the eyepiece.

Let the magnification of the objective be m1

Let the magnification of the eyepiece be m2

The final magnification by the microscope, M, will be

M = m1 x m2

Putting the values in the above equation

M = 40 x 10

M= 400

Thus, the final magnification will be 400-fold or 400 times the original size of the object.

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This is an exercise on the density of liquids and gases.

The data provided in the exercise are:

Density (d) = ?

Mass (m) = 64g

Volume (v) = 8cm³

To calculate the density of the cube when it is placed on the balance, divide the mass divided by the volume. We apply the following formula:

We substitute our data in the formula and solve:

Answer: The density of the cube placed on the three-beam balance is 8 g/cm³. ✅

Answer:

His second law. "The acceleration of an object depends on the mass of the object and the amount of force applied."

Explanation:

The harder you hit the faster and more the ketchup comes out

The gold sheet used was around 1000 atoms thick.

The Rutherford observed that the use of aluminium foil will be better instead of gold foil, the reason is given below. The gold is very cheap metal so due to this property it can be easily turned into thin thin foil, Rutherford wants the thinnest layer as thin as possible. If any other metal foil is used in place of gold then also there will be no change in the observations if the metal foil to be used is as thin as gold foil.

So we can conclude that the gold sheet used was around 1000 atoms thick.

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Answer:

For a relative frequency distribution, relative frequency is computed as the class frequency divided by the number of observations.

Scalar is a physical quantity  having only magnitude. (amount)

scalar quantity : The physical quantity which are specified with the magnitude are known as scalar quantities.

For example :

length - 5m

speed - 10 m/s , 10km/h etc

Mass - 6kg , 20g etc

energy - 30 joule

density - 56kg/m³

There is another quantity known as vector quantity.

vector quantity : The physical quantity which are specified by its magnitude and direction also.

For example, velocity, acceleration, force etc.

Scalar is a physical quantity  having only magnitude. (amount)

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Comparing these two values, Fgav is much greater than Fr.

First, calculate the force produced by the radiation pressure:

The radiation pressure produces a force equal to,

Fr=pr(πRe2)

=(I/c) ( πRe2)

Given that

I= Intensity of sun = 1370 W/m²

c = speed of light = 2.998×108m/s

Re = Radius of the earth=  6.37×106m

Ms= mass of sun = 2.0×1030kg

Me= mass of earth = 5.98×1024kg

des2 = distance of earth and sun apart =1.5×1011m

Substituting the given values according to the question

Fr= π (1.37 × 103 kW/m2) (6.37×106m)2/2.998×108m/s

=6.0×108N

(b) The gravitational pull of the Sun on the Earth is,

Fgav= GMsMe/ des2

putting values according to question

Fgav= (6.67×10−11 N⋅m2/kg2) (2.0×1030kg) (5.98×1024kg) / (1.5×1011m)2

=3.6×1022N.

Comparing these two values, it is obvious that Fgav is much greater than Fr.

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Carbon dioxide and water vapor are the two principal atmospheric gases that absorb solar energy.

Gases in the atmosphere of the Earth are referred to as atmospheric gases. While greenhouse gases (carbon dioxide, methane, nitrous oxide, water vapor, and ozone) only make up 1% of the air, they make up the majority of these gases, which account for 99% of the air's composition. Several separate gases, each with unique characteristics, are actually mixed together to form the air. Air's chemical makeup changes throughout time. It could change over time and from location to location. There are also some varying elements in the air in our environment. Water vapor, dust particles, and ozone are some of these changeable elements. The weather and environment can be significantly impacted by these, despite their rarity and low concentration.

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