To teach you how to find the parameters characterizing an object in a circular orbit around a much heavier body like the earth.
The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit--a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M.
For all parts of this problem, where appropriate, use G for the universal gravitational constant.
A-Express the kinetic energy K in terms of the potential energy U. K=1/2*mG*M/R
B-Find L, the magnitude of the angular momentum of the satellite with respect to the center of the planet.
Express your answer in terms of m, M, G, and R.
C-The quantities v, K, U, and L all represent physical quantities characterizing the orbit that depend on radius R. Indicate the exponent (power) of the radial dependence of the absolute value of each.
Express your answer as a comma-separated list of exponents corresponding to v, K, U, andL, in that order. For example, -1,-1/2,-0.5,-3/2 would mean v∝R−1, K∝R−1/2, and so forth

Answer:

D)7 1/2 or 15/2

Explanation:

Let's calculate Combined resistance of the parallel first

1/Rt= 1/2+1/6=4/6

Rt=6/4 which is also equal with 3/2

Now let's add it with the series one

Rt= 6+3/2

=15/2 And when we put that un a mixed fraction 7 1/2

To get a grandfather clock running more accurately, if it is gaining time, you should adjust the length of the pendulum.

How to adjust the length of the pendulum?

This can typically be done by moving the pendulum bob up or down the pendulum rod. A shorter pendulum will cause the clock to run faster, while a longer pendulum will cause it to run slower.

It is important to make small adjustments and wait for the clock to stabilize before making further adjustments. It's also recommended to consult the clock's manual for instructions on how to adjust the pendulum length.

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Answer:       If you let a helium balloon go, and if, as it rises, it stays at a constant temperature, the volume of the balloon will. The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the same total volume as the object.

If you let a helium balloon go, it rises, it stays at a constant temperature, the volume of the balloon will increases.

A measurement of three-dimensional space is volume. Several imperial or US customary units, as well as SI-derived units (such the cubic meter and liter), are frequently used to quantify it quantitatively (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship.

The density for helium remains lower than that of air, therefore when the balloon is inflated with that as well, it rises. The atmosphere's pressure continues to drop as it rises, which causes the internal pressure to rise. The balloon's volume of the balloon will increase.

Therefore, the volume of the balloon will increase.

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The resistance of a circuit that contains two 50.0 Ω resistors connected in series with a 12.0 V battery is 100 Ω. The resistance of the circuit is equal to the sum of the individual resistors when they are connected in series.

In this case, two 50.0 Ω resistors are connected in series, resulting in a total resistance of 100 Ω. Resistance can be defined as the obstruction that electricity faces when it travels through a conductor. The greater the resistance, the less current is allowed to flow through the circuit. The following equation is used to calculate resistance: R = V / IWhere R is resistance, V is voltage, and I is current.

Resistance can also be calculated using Ohm's Law if we know the values of voltage and current. When resistors are connected in series, the total resistance of the circuit is equal to the sum of the individual resistors. This is expressed by the following equation:RT = R1 + R2 + ... + RNWhere RT is the total resistance of the circuit, and R1, R2, and RN are the individual resistors. In this case, the circuit contains two 50.0 Ω resistors connected in series.

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Light - emitting diode lightbulbs known as LED lightbulbs are energy saving lightbulbs. They consume very small amount of energy compare to other lightbulbs. Therefore, LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.

There are varieties of different light bulbs. some of them are  incandescent, compact fluorescent (CFL), halogen, and light-emitting diode (LED) to mention a few.

Before the advent of light - emitting diode (LED) bulbs, some of the bulbs consume a lot of energy. For instance, we have incandescent bulbs of 20 watts, 50 watts, 100 watts and even 200 watts.

But with the advent of light - emitting diode (LED) bulbs, consumers can save energy because light - emitting diode (LED) bulbs save a lot of energy and they are very bright.

We can therefore conclude that light - emitting diode lightbulbs known as LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.

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Answer:

10

Explanation:

Centripetal refers to “center-seeking” Quantifies the change in directionof the velocity The acceleration is directed toward the center of the circle of motion.

The magnitude of the centripetal acceleration is given by V^2/r, the direction is toward the center of the circle. The tangential component of the acceleration is due to changing speed. The centripetal component of the acceleration is due to changing direction.

When an object is rotating at a constant angular velocity, the whole object has a constant angular velocity. Therefore, every mint on the turntable has the same, constant angular velocity.

The acceleration which causes the tangential velocity to change direction is called Centripetal acceleration. Centripetal acceleration is always in toward the center of the circle.

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The speed of the car when it is half –way down the hill is 7m/s.

This is another illustration of energy conservation. Set the potential energy at the top to equal the kinetic energy at the bottom, then solve for height h and then  speed using the same total energy at h/2.

Top:

mgh = (1/2)mv2

hear m=mass

        h=Hight

        v= speed

gh = v2/2

h = v2/(2g)

= 102/[2(9.8)] m

= 5.1 m

Half way down:

u = speed

g(h/2) = u2/2

u = √[2g(h/2)]

= √(gh)

= √[(9.8)(5)] m/s

= 7.0 m/s

What is Kinetic energy?

the energy that an object produces as a result of its motion. There is unquestionably a need to apply particular forces when an object is prepared to accelerate. Applying force requires work, and once the job is finished, energy is transmitted to the object, causing it to move with a constant speed.

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Answer:

the answer is 5 electrons

Explanation:

because its the same name as the amount of protons

The answer is False. A polarized material does not need to have a nonzero net electric charge. Polarization occurs when the positive and negative charges within a material are displaced relative to each other, creating an electric dipole moment.

This can happen in materials such as dielectrics or insulators, which do not conduct electricity. The net electric charge of a polarized material can still be zero, as the overall positive and negative charges remain balanced, but the charges are spatially separated. Polarization plays an important role in phenomena such as capacitance, dielectric constant, and polarization-induced electric fields.

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Answer:  An effect of continental drift is causing tectonic plates resting upon the convecting mantle to move which results in natural disasters like earthquakes, volcanic eruptions, and more.

Answer:

0.033 m/s²

Explanation:

Given:

Δx = 2500 m

v₀ = 1.4 m/s

v = 13 m/s

Find: a

v² = v₀² + 2aΔx

(13 m/s)² = (1.4 m/s)² + 2a (2500 m)

a = 0.033 m/s²

The acceleration if the train has traveled 2.5 km will be 0.033 m/s².

There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

\(v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as\)

where the symbols have following meanings:

u = initial velocity of the considered object

v = final velocity of the object

a = acceleration of the object

s = distance traveled by the object in 't' time.

The C-train leaves Anderson Station with a velocity of 1.4 m/s and arrives at Southland Station with a velocity of 13 m/s.

Given:

Δx = 2500 m

v₀ = 1.4 m/s

v = 13 m/s

Find: acceleration, a

WE will use the third equation of motion;

v² = v₀² + 2aΔx

(13 m/s)² = (1.4 m/s)² + 2a (2500 m)

a = 0.033 m/s²

Therefore, the acceleration if the train has traveled 2.5 km will be 0.033 m/s².

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Answer:

Suppose the micrometeoroid weighed 1 g = .001 kg

Suppose also the spacecraft were moving at 18,000 mph (1.5 hrs per rev)

Usually, the smaller particle would be moving but for simplicity suppose that it were stationary wrt the ground

v = 18000 miles / hr * 1500 m/mile / 3600 sec/hr = 7500 m/s

KE = 1/2 * .001 kg * (7500 m)^2 = 28,125 Joules

One can see that 28000 Joules could be damaging amount of energy

Answer:

Condensation

Explanation:

Answer:

Condensation! Hope this helps!!!

Explanation:

Answer:

ew so the difference is.. Pollination and Fertilization occur in plants during sexual reproduction.

the difference is Pollination occurs from anthers of stamens to stigma of the ovary and It is a physical process.

fertilizateion is It is the fusion of female and male gametes and It is a genetic and biochemical process.

Explanation:

this was so hard to write out

a. [True]

b.  [False]

c. [True]

d. [True] The final temperature of the iron and water is halfway between the initial temperatures of each.

what occurs when a piece of heated metal is plunged into water that is at normal temperature. The metal will eventually cool as the water warms up. The temperatures of the two things will eventually be equal. When this occurs, it is stated that they are in thermal equilibrium with one another.

Since the materials are pliable, higher temperatures considerably increase the actual contact areas between surfaces. As a result, as the heating temperature is raised, the thermal contact resistance considerably reduces and the rate of heat transfer rises.

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The same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.

Let us understand what these terms mean:

In statistical analysis, multicollinearity is the high correlation among predictors in a regression model. It is problematic because of its adverse effects on the model, including making it difficult to determine the effect of an independent variable, coefficients becoming insensitive to small changes in the model, and reducing the reliability of the model.

In regression analysis, independent predictors are those variables that contribute to the prediction of the dependent variable or outcome, and their inclusion in the model improves the accuracy of the prediction of the model.

In a regression model, it is an assumption that predictors are independent, which means that the predictors have little to no correlation with each other. If this assumption is violated, it is known as multicollinearity.

Therefore, the same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.

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Electrical charges are caused by the buildup of an imbalance of protons and electrons, while magnetic poles are caused by the movement of electrons.

Electron is an open-source framework that enables developers to create cross-platform desktop applications using HTML, CSS, and JavaScript. Electron enables developers to build applications for Mac, Windows, and Linux from the same code base. It is used by many popular applications, such as Slack, Visual Studio Code, and Whats App Desktop. Electron can be extended with native Node.js modules and can access all Node.js APIs. It can also be used to create web-based applications with access to native desktop features. Electron is highly extensible and customizable, making it an ideal choice for developers who want to create powerful desktop applications.

This means that electrical charges can be created without the presence of a magnetic field, while magnetic poles always require an electrical field in order to be created.

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The work  was done to move the block  across the floor  is 400 Joule.

The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

Force applied on the block: F = 40 N.

Displacement of the box = 10 m.

Hence, work  done to move the block = Force × Displacement

= 40 × 10 joule

= 400 joule.

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The current through wet hands when in contact with a 120 V electrical circuit would be 120 milliamps (mA).

Voltage (V) = 120 V

Resistance (R) = 1,000 ohms

According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them. According to Ohm's Law, we can compute the electrical current in a circuit by dividing the voltage by the resistance. If the resistance is reduced, the current will alter.

Calculating the current by using Ohm's law -

I = V / R

Substituting the values:

I = 120 / 1,000

= 0.12 A

Converting 0.12 A to milliamps by multiplying by 1,000 -

= 0.12 x 1,000

= 120

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Answer:

Decreasing the angle to 10

Explanation:

Edge 2020

Explanation:

75g = Mass of bottle + Mass of liquid

35g = Mass of bottle

Therefore Mass of liquid = 40g.

Volume of liquid = Mass/Density = 35/0.80 = 43.75cc.

If the car heading south travels 50 miles farther than the car going east, how far does the car heading east travel travels  150.0 miles, the problem can be solved by the formula d = rt.

The used equation is d = rt, The equation states that the distance traveled is equal to the rate times the time. This equation can be used to calculate the distance traveled by an object, given that the rate and time are known. In this case, the rate was the same for both cars and the time was the same for both cars, allowing us to calculate the distance traveled by a car heading east. Since we know that the car heading south traveled 50 miles farther than the car going east, we can subtract 50 miles from the total distance of 200 mi to find the distance traveled by car heading east. This gives us a value of 150 mi, which can be rounded to the nearest tenth to give us 150.0 miles.

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In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.

However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.

It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.

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The given statement "multimode fiber is capable of longer transmission distances than single mode fiber" is incorrect. The multimode fiber is not capable of longer transmission distances than single mode fiber.

What is single mode fiber?

Single mode fiber is the type of fiber optic cable that carries light directly down the fiber. The core diameter of single mode fiber is much smaller than that of multimode fiber. The small core reduces the dispersion of light. Single mode fiber can be used to transmit data over longer distances than multimode fiber because it has a lower attenuation rate.

What is multimode fiber?

Multimode fiber is the type of fiber optic cable that carries light down the fiber in many modes. In multimode fiber, the diameter of the core is large and is measured in 50 to 100 microns. Multimode fiber is used for short-distance communication. The data transmission rate is slower, but the larger core allows for a higher bandwidth than single mode fiber.Multimode fiber is less expensive than single mode fiber, but it has a shorter transmission distance. In contrast, single mode fiber is more expensive but offers longer transmission distances due to its low attenuation rate.

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When are the sun's rays perpendicular to the earth's surface at the equator, The Sun's rays are perpendicular to the Earth's surface on the equator during the March equinox and the September equinox.

These are the two periods of the year when the Sun's rays are directly overhead at the equator, resulting in equal lengths of day and night all across the world during the equinoxes. The June solstice and the December solstice are the other two events. Sun's rays are not perpendicular to the Earth's surface at the equator during these solstices, but instead at the Tropic of Cancer and the Tropic of Capricorn.

A perpendicular ray is one that comes at a 90-degree angle. This happens during the equinox. The term "equinox" comes from the Latin word "aequus," which means "equal," and "nox," which means "night." The vernal equinox is the day when the hours of daylight and nighttime are equal. It occurs on or around March 20 or 21.

The autumnal equinox occurs when the hours of day and night are equal. It occurs on or around September 22 or 23.

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Answer: s(5) = -200,  v(5) = -90

              s(10) = -900, v(10) = -190

Explanation:

Position: s(t)

Velocity:  s'(t) = v(t)                ⇒      \(s(t)=\int {v(t)} \, dt\)

Acceleration     v'(t) = a(t)      ⇒      \(v(t)=\int {a(t)} \, dt\)

We are given that acceleration a(t) = -20   and velocity v(t) = 10

\(v(t)=\int {a(t)} \, dt\\\\v(t)=\int{-20}\, dt\\\\v(t)=-20t + C \\\\v(t)=10\quad \longrightarrow \quad C=10\\\\v(t)=-20t+10\)

\(s(t)=\int {v(t)} \, dt\\\\s(t)=\int {(-20t+10)} \, dt\\\\s(t)=-10t^2+10t\\\\\)

(a) Input t = 5 into the s(t) and v(t) equations

   s(5) = -10(5)² + 10(5)           v(5) = -20(5) + 10

          =  -250  +  50                     = -100   +  10

          =       -200                          =        -90

(b) Input t = 10 into the s(t) and v(t) equations

     s(10) = -10(10)² + 10(10)           v(10) = -20(10) + 10

            =  -1000  +  100                     = -200   +  10

            =       -900                          =        -190

Answer:

(a) By small angle approximation, we have;

F = -2×T×Δy/l

(b) \(The \ frequency \ of \ oscillation, \ f = \dfrac{1}{2\cdot \pi }\cdot\sqrt{\dfrac{2 \cdot T}{l \cdot M} }\)

Explanation:

(a) The diagram shows the mass, M, being restored by two equal tension, T acting on the elastic strings l, such the restoring force, F acts along the path of motion of the mass, with distance Δy

Therefore, the component of the tension T that form part of the restoring force is given as follows;

Let the angle between the line representing the extension of the elastic strings T and the initial position of the string = ∅

Then we have;

String force, \(F_{string}\) = T×sin∅ + T×cos∅ + T×sin∅ - T×cos∅  = 2×T×sin∅

Whereby the angle is small, we have;

sin∅ ≈ tan∅ = Δy/l

Which gives;

\(F_{string}\) = 2×T×sin∅ = 2×T×Δy/l (for small angles)

Restoring force F = \(-F_{string}\) = -2×T×Δy/l

F = -2×T×Δy/l

(b) Given that the the tensions do not change appreciably as the mass, M, oscillates from Δy we have;

By Hooke's law, F = -k×x

Whereby Δy corresponds to the maximum displacement of the mass, M from the rest position, which gives;

Which gives;

F = M×a = -k×Δy

a =  -k×Δy/M

d²(Δy)/dt² =  -k×Δy/M

When we put angular frequency as follows;

ω² = k/M

We get;

d²(Δy)/dt² =  -ω²×Δy

Which gives;

Δy(t) = A×cos(ωt + Ф)

The angular frequency is thus, ω = √(k/M)

Period of oscillation = 2·π/ω = 2·π/√(k/M)

The frequency of oscillation, f = 1/T = √(k/M)/(2·π)

Where:

k = 2·T/l, we have;

f = √(k/M)/(2·π) = √(2·T/l)/m)/(2·π)

The frequency of oscillation is given as follows;

\(f = \dfrac{1}{2\cdot \pi }\cdot\sqrt{\dfrac{2 \cdot T}{l \cdot M} }\)

Answer:

It is already balanced

Explanation:

It is already balanced