a free body diagram with 4 force vectors. the first vector is pointing downward labeled f subscript g baseline, the second is pointing right labeled f subscript p baseline. the third is pointing upward labeled f subscript n baseline. the fourth is pointing left labeled f subscript f. the upward vector is equal in length to the downward vector. the right vector is longer than the left. which statements describe the book and the forces acting on it? check all that apply. the forces are balanced. the forces are unbalanced. the net force is zero. the book is at rest. the net force is to the right. the book is moving to the right.

The match description of these stars with their life cycle stage are as follows:

Stars follow the same 7-stage cycle in their lives. The life cycle is as follows:

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When it reaches a velocity of 32 m/s, it is 571.2m high above the ground.

What does velocity refer to?

Velocity is the direction speed of an item in motion as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time.

The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object.

Given

Initial velocity ,u =  84m/s

Final velocity, v =  32m/s

Gravity ,g = -10m/s (upward motion, against gravity )

We know, v = u + gt

32 = 84 -10t

10t  = 84-32

t = 5.2 s

Now using, s = ut +1/2 gt^2

s = [84*5.2] +1/2[10*5.2^2]

s = 436 + 135.2

s = 571.2m

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The S.I unit of wavelength is metre. The wavelength is the separation between two crests or troughs that occur back-to-back.

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Answer:

Hence, the isotope will take about 6.645T years to reduce to 1% of its original value

Sonar, or underwater sound projectors, were originally utilised during World War I and were the first modern innovation in seafloor mapping.

Who was the first to map the ocean floor?

Sonar was being used to map deep water areas by the Coast and Geodetic Survey, which was the forerunner of NOAA's Ocean Service, by the 1920s.

Marie Tharp , who was born in Michigan in 1920, worked as both a geologist and a cartographer. Tharp was the first to map the ocean floor scientifically in collaboration with her coworker Bruce Heezen. In the 1940s, Tharp started her career in science as a geologist for Stanolind Oil. 

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Surface Tension allows water droplets to have a rounded shape

What is surface tension?

A liquid surface's ability to operate like a stretched elastic membrane is known as surface tension. Small liquid droplets and soap bubbles have almost spherical shapes, which are indicators of this phenomena. Some insects can stand on the surface of water due to this characteristic. The surface tension of water may also support a razor blade. When pushed through the water's surface, the razor blade sinks rather than floats. Another way to think about surface tension is as the result of forces operating in the surface's plane and tending to reduce its area.

The amount of force applied to a surface that is perpendicular to a line of a certain length is a common way to express surface tension based on this theory. The measurement is then in newtons per meter, or joules per square meter.

Therefore, surface tension allows water droplets to be round in shape

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Kinetic friction is a force that resists the motion of an object moving along a surface whenever two objects' surfaces are in contact with one another.

Sliding friction: What is it? Sliding friction is the resistance that any two items produce as they slide against one another. This friction, sometimes referred to as kinetic friction, is the force required to keep one surface moving along another.

Sliding friction, also known as kinetic friction, is a contacting force that opposes the movement of two objects sliding against one another or between an entity and a surface.

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Answer:

The height will be 3

Explanation:

force(f) = 70N

work(w) = 210 J

distance(d) = ?

w = f × d

210 = 70 × d

210 = 70d

divide both sides by (70) to get d

[tex] \frac{210}{70} = \frac{70d}{70} [/tex]

d = 3

i hope this helps

Important Formulas:

[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]F=70N[/tex]

[tex]w=210J[/tex]

[tex]d=?[/tex]

__________________________________________________________

Rearrange formula to make distance the subject:

[tex]W=Fd[/tex]

[tex]\dfrac{W}{F} =\dfrac{Fd}{F}[/tex]

[tex]d=\dfrac{W}{F}[/tex]

__________________________________________________________

[tex]d=\dfrac{210}{70}[/tex]

__________________________________________________________

[tex]\fbox{d = 3 meters}[/tex]

The slope of a line is a measure of the steepness of its angle with the x-axis. A line parallel to the x-axis has no angle and therefore has a slope of 0.

The slope of a line is a measure of the steepness of its angle with the x-axis. It is calculated by taking the ratio of the change in y-coordinates to the change in x-coordinates (rise over run). A line parallel to the x-axis has no angle and therefore has no rise or run. This means that the change in y-coordinates over the change in x-coordinates is 0, resulting in a slope of 0. This is true for any line parallel to the x-axis, regardless of its length or orientation. A line perpendicular to the x-axis will have a slope of either positive or negative infinity, depending on its orientation. A line that is neither parallel nor perpendicular to the x-axis will have a slope greater than 0 but less than infinity, depending on its angle with the x-axis.

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Answer:

Below

Explanation:

Speed at beginning = 0

speed at bottom = ?

   d = 1/2 at^2

   6 = 1/2 (9.81)(t^2 )    shows t = 1.1 s

vf = at = 9.81 ( 1.1) = 10.85 m/s

Average = ( 10.85 - 0) / 2 = 5.42  m/s  average

For what-if analysis, Microsoft Excel add-in program Solver is helpful.

Excel Solver allows up to 200 variable cells to be specified. We have a few cells in this example whose values can be modified: projected clients per month (B4), which need to be no more than 50; and Calculate the cost per service (B5) using Excel Solver.

Although it is not a cure-all, the evolutionary technique enables you to spend less time examining the mathematical aspects of your model while still obtaining "excellent" solutions.

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The question is incomplete I can answered it in general way .

The equivalent emf of the collection will be 15.6 V. A conventional (i.e., non-quantum) field created by moving electric charges is known as an electromagnetic field (sometimes referred to as an EM field or EMF). It is the field that is described by classical electrodynamics (a classical field theory), and it is the classical analogue of the quantum electrodynamics' quantized electromagnetic field tensor (a quantum field theory).

The collection's equivalent emf can be obtained as shown below. The results of the investigation were as follows:

Emf 1 (E₁) = 3.0 V

Emf 2 (E₂) = 4.5 V

Emf 3 (E₃) = 1.5 V

Emf 4 (E₄) = 2.0 V

Emf 5 (E₅) = B₁ = 4.6 V

Equivalent emf (E) = ?

E = E₁ + E₂ + E₃ + E₄ + E₅

E = 3 + 4.5 + 1.5 + 2 + 4.6

E = 15.6 V

Therefore, the equivalent emf would be 15.6 V.

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Lenz's law is related with the sign of the induced emf or voltage in a coil and states that the induced voltage always appear in such a direction as to oppose the cause of its production, that is, rate of change of emf.

According to Lenz's law, which deals with the sign of the induced emf or voltage in a coil, the induced voltage always manifests in a way that is opposite to the emf change rate that led to its induction.

Now, as the north pole of the magnet draws nearer to the coil, the magnetic flux connected to the coil increases, causing the induced voltage to be negative, causing that face of the coil to function as the north pole, repelling the approaching north pole (opposes the increase of magnetic flux). Likewise, the induced voltage's sign changes to positive as the S pole of the magnet moves away from the coil, causing that face of the coil to behave as described.

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the internal enclosure wall is 539 K degrees in temperature. If a container has a 50 m2 interior space, the interior surface is black, and the container is kept at a constant temperature,

The answer solely depends on how well-insulated your house is. If your property is very well insulated, it is best to leave the heating on at a preset temperature, where thermostat and boiler can easily maintain the temperature because there is little heat loss.

Ohm's law states that temperature will remain constant, hence [heat] = vIt, where t is a constant. Since v and I are directly proportional, increasing v will likewise increase I, increasing v will result in an increase in heat (temperature).

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The Moon has an elliptical orbit is the main reason that the gravitational attraction between Earth and the Moon changes each day.

Earth's gravity pulls the moon to the center of the earth, while the moon's gravitational force maintains the moon's position, resulting in a centrifugal force that makes the moon rotate on its axis and surround the earth so that it is not attracted to the earth's center of gravity or stays in its orbit.

The influence of the gravitational force of the earth and the moon is the tides of the sea. The moon's gravitational force pulls seawater toward the moon, affecting wave height and sea level. Because the moon revolves around the earth, there will be times when one side of the earth is closer to the moon. The part that is close to the moon will experience high tide, while the other part that is not close to the moon will experience low tide. The tides are also related to the phases of the moon. Usually, sea water will experience high tides during the full moon.

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The formula for calculating lambda is: Lambda = (E1 – E2) / E1.

Lambda is the symbol for wavelength it isn't a constant there for no standard value

it is linked to frequency:

frequency x Wavelength = speed of light (3x10^8)

What is lambda?

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The 4 reasons why tariff are imposed are:

What is a Tariff?

A tariff is a type of tax levied on imported goods or services. Tariffs are a common element of international trade The main reasons for imposing tariffs include reducing imports of goods and services by raising prices and protecting domestic producers.

Customs duties usually take one of two forms: specific or ad valorem. A specific tariff is charged on a per-item basis (for example, a tariff of $1,000 per imported vehicle). An ad valorem tax is a duty charged as a percentage of the value of goods (eg 10% of the value of an imported car).

The 4 reasons why tariff are imposed are:

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Q=ne will be the formula used to determine the number of electrons. More details The quantity of energy or electrons that are transferred from one body to another by a variety of modes, such as conduction, induction, etc., is known as an electric charge.

A negatively charged subatomic particle known as an electron can either be free or attached to an atom (not bound). One of the three main types of particles within an atom is an electron that is bonded to it; the other two are protons and neutrons. The nucleus of an atom is made up of electrons, protons, and neutrons together.

By exchanging electrons to form chemical bonds, atoms join together to form molecules and compounds. Knowing the number of electrons attached to each atom is the first step in comprehending the nature of this bonding. You may determine the amount of electrons in a substance based on its chemical formula using information from a periodic chart of the elements and some simple math.

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Answer:

Total energy (E) =me=m(u+ke+pe)=U+KE+PE

A simple compound microscope provides large magnification by employing a short focal length objective and a short focal length eyepiece.

A compound microscope is a high magnification microscope that uses two lenses to compound the level of magnification. The first lens is an objective lens and the second lens is an eyepiece lens.

In compound microscope both lenses are convex lenses. The objective lens has a very short focal length and hence has very high magnifying power (P ∝ 1/f ).

The image formed by the objective lens serves as the object to the eyepiece. The position of the eyepiece is kept such that the image formed by the objective lens is formed within the focal length of the eyepiece.

So, the focal length is short for eyepiece lens also.

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Reason-1. Blower Motor and Resistor: This particular part is responsible for taking the heated air from your coolant system and pushing it through your hot heater core. From here the air will pass through your ventilation system and enter the cabin.

2. Incorrect Coolant Level: all you need to do to fix this is to add more coolant. Fill it up to the appropriate level, and you’re good to go. Take your heating system for a test drive. If the problem persists, you need to check through some of our other options. If the problem no longer persists, you’re good to go.

3.  Thermostat: Our third common reason for a heater not working is a broken thermostat. Your heater core, and sometimes even your radiator, is designed to work in accordance with a thermostat

4. Hoses: As we mentioned earlier, if your coolant system is not working correctly, your heater core won’t either. So, if you have a damaged component in your coolant system, like a hose, odds are nothing’s going to work right.

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The frequency would have units of cycles/second, waves/second or vibrations/second.

Frequency, in physics, is the number of waves that pass fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

What is frequency?

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The shuttlecock began 7 m above the ground and then fell through the vacuum. Therefore, option (A) is correct.

A velocity vs time graph can be described as a type of graph that compares the change in the velocity over a period of time. This graph can be used to describe both the velocity, the direction it is moving, its acceleration, and the displacement.

The slope in a velocity vs time graph is equal to the acceleration of the object and the area under a velocity-time graph is equal to displacement.

In the given height vs time graph, the height of the shuttlecock is 7 meters at time t = 0. If the shuttlecock fell through the thick air, then its acceleration will decrease due to air resistance.

But the blue line is showing constant acceleration as there is no air resistance so the shuttlecock fell through the vacuum.

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a word portion that is added to a root word to alter or modify its meaning; prefixes and suffixes are also considered affixes. combining vowel, word root, suffix, prefix, and suffix.

A root word is a word that has no prefixes or suffixes (a prefix is a string of letters that go at the start of a word; a suffix is a string of letters that go at the end of a word). We can alter the meaning of a root word by adding prefixes and suffixes. For instance, the suffixly is added to the word love to create the word beautiful. While a root can serve as the foundation for a new term, it rarely does so.

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A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.

The elastic potential energy stored in the spring is formulated as follows

                                                 PE = ½kx²

Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.

In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:

F = kx

Where F is the force acting on the spring, x is the displacement, and k is the force constant,

So that:

F = kx

240 N = 120 N/m . x

x = 240 N/120 N/m

x = 2 m

Once x is known, then we can calculate the potential energy of the spring:

PE = ½kx²

PE = ½ (120) (2²)

PE = 60 x 40

PE = 240 Nm

So, the elastic potential energy stored in the spring is 240 Nm.

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Explanation:

4.08 seconds thank me later

A ball is attached to a string that is whirled around in a horizontal circle having the radius of r. If the radius of the circle is changed to r/4 and the same centripetal force is applied by the string, the new speed of the ball is one-half the original speed.

The formula for the centripetal force is

                 F = mv² / r

where F is the centripetal force

          m is the mass of the ball

          v is the velocity of the ball

          r is the radius of the circular movement

Let us rearrange the equation,

               [tex]\displaystyle v = \sqrt{\frac{Fr}{m}[/tex]

If the radius of the circular movement is reduced as r/4, then the velocity becomes,

               [tex]\displaystyle v = \sqrt{\frac{Fr}{4m}[/tex]

              [tex]\displaystyle v = \frac{1}{2} \sqrt{\frac{Fr}{m}[/tex]

which means that if the radius is reduced by one of forth the original, then the velocity will be reduced by twice the original.

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The complete question is

A ball attached to a string is whirled around in a horizontal circle having a radius of r. If the radius of the circle is changed to r/4 and the same centripetal force is applied by the string, the new speed of the ball is which of the following?

 (A) One-quarter the original speed

 (B) One-half the original speed  

(C) The same as the original speed

(D) Twice the original speed

(E) Four times the original speed

Saturn planet has an orbital eccentricity most like the orbital eccentricity of the Moon.

An ellipse's eccentricity (e) is a value that affects how it looks, such as whether it is more rounded or if it resembles a segment. Let "a" be the major semi-axis and "c" be the focal semi-distance:

e = c / a

The gravitational forces that propel the planets disappear as they gracefully glide into an orbit around the Sun. However, a planet must follow an orbit to stay inside the bounds of the gravitational pull of other celestial bodies, particularly the sun.

The orbits have an ascending node, a vernal point, an argument of the perihelion, an eccentricity, an inclination, and an aphelion. The planets' orbits are all roughly on the same plane. The ecliptic is the name of this orbital plane.

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The speed at which the satellite travels is 7.7 kilometers per second.

To calculate the speed at which the satellite travels, we can use the equation

where v is the velocity of the satellite, G is the gravitational constant, M is the mass of the Earth, and r is the radius of the satellite's orbit.

The period of the satellite's orbit, which is the time it takes to complete one orbit, can also be used to calculate the speed of the satellite using the equation

where T is the period of the orbit. Solving for v in this equation, we can find that the speed of the satellite is 7.7 kilometers per second.

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The gravitational force exerted on the moon while it is in orbit around the planet is 1 × 10¹⁹ N.

Gravitational Field Strength is defined as the gravitational force per unit mass experienced by a point mass at a certain point.  It is  a vector quantity having SI unit Newton/kg.

Mass of the moon: M = 1 ×10²² kg.

The gravitational field strength at a distance r from the planet is: E= 0.001 N/kg.

Hence, gravitational force acting on the moon: F = mE

= 1 ×10²² × 0.001 N

= 1 × 10¹⁹ N.

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