a planet of negligible mass moves around the sun (mass $m$) along an ellipse so that its minimum distance to the sun is $r 1$, and its maximum distance to the sun is $r 2$. find the period of its revolution.
Answers
To find the period of revolution for a planet moving around the Sun along an elliptical orbit, we can use Kepler's Third Law of Planetary Motion, which states that the square of the orbital period (T) is proportional to the cube of the semi-major axis (a) of the elliptical orbit.
T² = (4π² / GM) * a³
Where:
T is the period of revolution
G is the gravitational constant (approximately 6.674 × 10^(-11) m³/(kg·s²))
M is the mass of the Sun
a is the semi-major axis of the elliptical orbit
In this case, the minimum distance of the planet to the Sun is given by r1, which corresponds to the semi-minor axis (b) of the elliptical orbit. The maximum distance of the planet to the Sun is given by r2, which corresponds to the semi-major axis (a) of the elliptical orbit.
Since the semi-major axis (a) is the average of the semi-minor axis (b) and semi-major axis (c), we can calculate a using the formula:
a = (r1 + r2) / 2
Now, we can substitute the value of a into the equation for the period of revolution:
T² = (4π² / GM) * [(r1 + r2) / 2]³
Taking the square root of both sides, we get:
T = √[(4π² / GM) * [(r1 + r2) / 2]³
Therefore, the period of revolution of the planet around the Sun is given by the equation:
T = √[(4π² / GM) * [(r1 + r2) / 2]³]
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Related Questions
What approach responds to the limitations of the other legacy-measuring methods?
Answers
The other-legacy measuring methods' weaknesses are addressed by the bottom-up approach.
An organizational decision-making process known as a "bottom-up approach" begins at the bottom of the hierarchy rather than the top. In actuality, this means that choices won't always be made by the CEO or department head (this is known as a top-down approach).
What distinguishes a bottom-up strategy from a top-down approach?
When choices affecting the entire organization are made, top-down management is used, whereas bottom-up management involves all teams in these types of decisions.The bottom-up approach often focuses its analysis on specific traits and micro features of a single stock. The focus of bottom-up investment is on fundamentals that apply to individual companies or industries.What bottom-up management has to offer:
Promoting cooperation.Enhancing morale. Creating new insights. Enabling your group.To learn more about Bottom-up approach, visit:
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True or false? An object that is accelerating is always speeding up or slowing down.
Answers
Answer:
True
Explanation:
If acceleration points in the same direction as the velocity, the object will be speeding up. And if the acceleration points in the opposite direction of the velocity, the object will be slowing down.
what is the definition of the word amplitude
Answers
Explanation:
Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path. ... Waves are generated by vibrating sources, their amplitude being proportional to the amplitude of the source.
What is the relationship of gas pressure to it temperature?
Answers
Explanation:
By Gay-Lussac's law
Pressure is directly proportional to its temperature at given volume.
When the temperature of a system goes up, the pressure also goes up, and vice versa.
Answer:
So, as pressure increases, temperature will increase as well or vice- versa
Explanation:
The Ideal Gas Equation is PV = nRT, where :-
P = Pressure
V = Volume
n = number of moles
R = Molar Gas Constant
T = Temperature
In this, P ∝ T
=> So, as pressure increases, temperature will increase as well or vice- versa
a circular loop of wire is placed in a constant uniform magnetic field. describe two ways in which a current may be induced in the wire
Answers
A current can be induced in the wire by changing the magnetic field or by changing the orientation of the loop with respect to the field.
What are the ways in which a current may be induced in a circular loop of wire placed in a constant uniform magnetic field?
A current can be induced in the wire by changing the magnetic flux through the loop in two ways:
Moving the loop: If the loop is moved towards or away from the magnetic field or if the magnetic field is moved towards or away from the loop, the magnetic flux through the loop changes.
According to Faraday's law of electromagnetic induction, this change in magnetic flux induces an electromotive force (EMF) in the wire, which in turn causes a current to flow in the wire.
Changing the magnetic field: If the magnetic field strength is varied, for example by increasing or decreasing the current in a nearby wire or electromagnet, the magnetic flux through the loop changes.
Again, this change in magnetic flux induces an EMF in the wire, causing a current to flow.
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Write a procedure called Power that will calculate integer powers of integer numbers. In other words, it will calculate xy given that both x and y are integers. 2. Write a program that will call Power to calculate xy on two numbers stored in appropriate registers. The answer should be placed in an appropriate register. 3. Comment your code appropriately and turn it in with evidence you ran the code (such as a readable screenshot). Also remember to comment on your usage of ARM Assembly Language simulators, what worked and what didn't. Did you find one not listed that worked well?
Answers
A procedure called Power that will calculate integer powers of integer numbers:
1. Procedure: Power(x, y)
Initialize a register to hold the result (e.g., R0) and set it to 1.
Check if y is equal to 0.
a. If yes, return the result.
b. If no, continue to the next step.
Multiply the result by x.
Decrement y by 1.
Repeat steps 2-4 until y becomes 0.
Return the final result.
2. Program:
Load the base number x into a register (e.g., R1).
Load the exponent y into a register (e.g., R2).
Call the Power procedure, passing the values in the appropriate registers.
Store the result back into a register (e.g., R0).
Use the result as needed in your program.
3. Regarding ARM Assembly Language simulators, there are several options available such as QEMU, ARMulator, and Keil uVision, which can be used to write, run, and debug ARM Assembly programs. It's important to choose a simulator that is compatible with your system and provides the necessary features for your development needs. It's recommended to explore different simulators and choose the one that suits your requirements and preferences.
Remember to comment your code appropriately to provide clarity and understanding of the program logic. Documentation and comments are crucial for ensuring code readability and maintainability. Additionally, when submitting your code, provide evidence such as a readable screenshot showing the code execution or the output of the program.
Please note that implementing the actual code requires a proper development environment, knowledge of ARM Assembly Language syntax, and familiarity with the specific assembler and simulator being used.
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What happens to the force needed to stretch an elastic object?
Answers
Answer:
the force pulls each other cause its just physics
a car is moving with a velocity of 25m/s for 15s. calculate the displacement of the car. The acceleration of the car over the 15s
Answers
Explanation:
this might help you i think so
Help, please
and explain
Answers
as an electron in a one-dimensional box of length 0.600 nm jumps between two energy levels, a photon of energy 8.36 ev is emitted.
Answers
Plugging in the given energy of the photon (8.36 eV) and the other known values, we can calculate the length of the box. However, the mass of the electron was not provided in the question, so we cannot provide a specific numerical value for the length without that information.
The energy levels of an electron in a one-dimensional box are quantized, meaning they can only take on certain discrete values.
When the electron jumps between two energy levels, it emits a photon whose energy corresponds to the difference in energy between the two levels. In this case, the photon has an energy of 8.36 eV.
To determine the length of the one-dimensional box, we can use the equation for the energy levels of a particle in a box:
E = (n^2 * h^2) / (8 * m * L^2)
Where E is the energy, n is the quantum number (1, 2, 3, ...), h is the Planck's constant, m is the mass of the electron, and L is the length of the box.
We can rearrange the equation to solve for L:
L = sqrt((n^2 * h^2) / (8 * m * E))
Plugging in the given energy of the photon (8.36 eV) and the other known values, we can calculate the length of the box. However, the mass of the electron was not provided in the question, so we cannot provide a specific numerical value for the length without that information.
In conclusion, to determine the length of the one-dimensional box, we need to know the mass of the electron. Without this information, we cannot provide a proper conclusion.
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Does anyone know what car model this is? i needa answer asap please help. It was in a IIHS car crash test i think. need this question done for physics.
Answers
Answer:
Lincoln town car (luxury Ford car)
used commonly for taxi/limos
like around 1995
edmunds
On a heating curve, what does a horizontal line represent? Why is the line flat at
certain points?
Answers
Answer:
It is going through a phase change when it is flat.
Explanation:
During the horizontal line segments, there is no change in temperature, so kinetic energy remains constant. However, all the energy that is absorbed or released is related to changes in potential energy.
when the acceleration of a block in simple harmonic motion on a spring is zero, what other quantity is also zero?
Answers
Hi there!
When the acceleration of a block in SHM is 0 m/s², the NET FORCE must equal 0 N.
0 m/s² acceleration is obtained when the spring is at its equilibrium point, meaning that:
∑F = -kx (x = displacement from equilibrium point in meters)
If the block is at the equilibrium point, displacement = 0m, so:
∑F = -k(0) = 0 N
With Newton's Second Law, ∑F = ma. If the net force is 0 N, then there is no acceleration experienced by the block.
Thus, the other quantity that must be 0 is the block's NET FORCE.
what is a atom made of
Answers
An atom consists of a nucleus, made up of protons and neutrons, and electrons, which orbit the nucleus.
An atom is the basic unit of matter and the defining structure of elements. The nucleus of an atom contains positively charged protons and neutral neutrons, while negatively charged electrons orbit the nucleus. The number of protons in an atom's nucleus determines what element the atom represents. The arrangement of electrons in an atom's outermost shell is referred to as its electron configuration and is responsible for the chemical properties of an element. Atoms can bond with each other to form molecules, which in turn make up matter in the physical world.
Atoms can be thought of as the building blocks of matter. The properties of an element are determined by the number of protons in its nucleus, also known as its atomic number. Each element has a unique atomic number and therefore a unique set of properties. Atoms of the same element can vary in the number of neutrons they contain, which are referred to as isotopes.
Electrons are much lighter than protons and neutrons and occupy energy levels, or shells, around the nucleus. The behavior of an atom, including how it interacts with other atoms to form chemical bonds, is determined by the arrangement of electrons in its outermost shell, also known as its valence shell.
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Which of the following materials used by plants to make food can be found in the air?
A) pollen
B) soil
C) oxygen
D) carbon dioxide
Answers
Answer:
number d
Explanation:
because plant need carbondioxide
newton's law of universal gravitation
Answers
Explanation:
The gravitational force exerted on an object by another is equal to that which the other exerts on it.
F=GMm/r²
G=6.67x10-¹¹Nm²/Kg²
r= 80cm=0.8m
F= [6.67x10-¹¹ x 70 x 55]/0.8²
F= 4 x 10^-7N.
A 50 n force is acting on a lever 1.5 m from the fulcrum balances an object 1m from the fulcrum on the other arm. what is the weight of the object in n and what is the mass in kg
Answers
Answer:
A 100 N force acting on a lever 2 m from the fulcrum balances an object 0.5 m from the fulcrum on. ... What is the weight of the object(in newtons)? What is its mass (in kg)? ... mass at the one end and effort arm is the distance between pivot and effort applied at the other end.
Explanation:
hpoe this helps you.
The mechanical advantage of a wheel and axle is the radius of the wheel divided by the radius of the axle.
What is the mechanical advantage of the wheel and axle shown below?
Answers
Answer:
i got 6
Explanation:lmk if i’m wrong
The force of electrostatic repulsion between two small positively charged objects, A and B, is 3.6 x 10⁻⁵ N when AB = 0.12m. What is the force of repulsion if AB is increased to 0.24 m
Answers
Given data:
* The electrostatic force of repulsion between the charged bodies in the initial state is,
\(F=3.6\times10^{-5}\text{ N}\)* The distance between the charged bodies in the initial state is,
\(d=0.12\text{ m}\)* The distance between the charged bodies in the final state is,
\(\begin{gathered} d^{\prime}=0.24\text{ m} \\ d=2\times0.12 \\ d^{\prime}=2d \end{gathered}\)Solution:
According to Coulomb's law, the electrostatic force of repulsion between the charged bodies in the initial state is,
\(F=\frac{kq_1q_2}{d^2}\)where k is the electrostatic force constant, q_1 is the charge on the first charged body and q_2 is the charge on the second charged body,
The electrostatic force of repulsion between the charged bodies in the final state is,
\(\begin{gathered} F^{\prime}=\frac{kq_1q_2}{(2d)^2} \\ F^{\prime}=\frac{kq_1q_2}{4d^2} \\ F^{\prime}=\frac{1}{4}\times\frac{kq_1q_2}{d^2} \\ F^{\prime}=\frac{F}{4} \end{gathered}\)Substituting the known values,
\(\begin{gathered} F^{\prime}=\frac{3.6\times10^{-5}}{4} \\ F^{\prime}=0.9\times10^{-5}\text{ N} \end{gathered}\)Thus, the electrostatic force of repulsion between the charged bodies in the final state is,
\(\text{0}.9\times10^{-5}\text{ N}\)Hydroelectric systems generate electricity using the energy of falling water. A pumped storage hydroelectric system can also be used as a way of storing energy for future use. Explain how
Answers
It is obvious that In the pumped storage method, a pumped water is stored in a reservoir using unique pumps. Electric pumps consume electric power, however, and so the logic of the pumped storage methods seems poor but this is not so. Water is usually pumped during off-peak hours of power consumption. An essential reason for the pumped storage method is water-level control to make sure that the power station operates at all means or indefinitely. This reason reflects the economics of power generation as well.
what is hydroelectric system?
hydroelectric is a renewable energy also known as hydroelectric power,( hydropower), electricity that is produced from generators driven by turbines that convert the potential energy of falling or flowing water into mechanical energy.
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A 1600.0 kg car travels at a speed of 12.5 m/s. Calculate its kinetic energy.
Answers
The kinetic energy of the car is 125000 J (joules).
The kinetic energy (KE) of an object is given by the formula KE = 1/2 * m * v², where m is the mass of the object and v is its velocity. Plugging in the values for the car, we get:
KE = 1/2 * 1600.0 kg * (12.5 m/s)²= 1/2 * 1600.0 kg * 156.25 m^2/s²= 125000 JTherefore, the kinetic energy of the car is 125000 joules.
Kinetic energy is the energy an object possesses due to its motion. It is defined as one half of the mass of the object multiplied by the square of its velocity. Kinetic energy is a scalar quantity and is measured in joules (J) in the International System of Units (SI). The greater the mass and velocity of an object, the greater its kinetic energy. When an object loses its motion, its kinetic energy is transformed into other forms of energy.
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Radio waves travel at a speed of 300,000,000 m/s. WFNX broadcasts radio waves at a frequency of 101,700,000 Hz. What is the wavelength of WFNX’z radio waves?
Answers
The wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
What is wavelentgh?Wavelength can be defined as the distance between two successive crests or throughs of a wave.
The wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
Given data in the question;
Speed of wave; c= 3×10^8
Frequency of wave; 1.017×10^8
wavelength; ?
To determine the wavelength of the radio wave, we use the expression for the relations between wavelength, frequency and speed.
C\f
Where is wavelength, f is frequency and c is the speed.
We substitute our given values into the equation
=2.95
Therefore, the wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.
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Write AT LEAST 10 SENTENCES based on ONE event that has happened in your life.
Please do it am so tired
Answers
Sorry your tired, ill try to make it worth reading.
One day I walked outside, I looked around. THEN BAM a wasp lands right on my face. Its hideously sharp stinger impaled my flesh. I could almost hear it going deeper and deeper. I screamed and ran around in circles until it finely flew away. As I started walking to the door I could feel my heart pules where the thing had stung. I opened the door and went into the bathroom. Right in the middle of my face just above my nose was a red dot, with a slightly less red ring around it, like an ateroid impact. I sat down and went over the entire event five times. I decided to go back outside, as I walked around the corner, another wasp landed on me.
What nuclear reaction is shown in the equation below
Answers
Answer:
nuclear fission
Explanation:
nuclear fission
Answer: Nuclear fission
Explanation:
Crane with 5 kW motor lifts the load evenly at a speed of 0.1 m/s. What is the weight of the cargo?
Answers
Answer: 0.5
Explanation:
I NEED THIS BY TODAY DDD:
Answers
Answer:
I can't see the picture, can you right down the same thing that is the picture in the comments so I can help you.
Explanation:
Thx.
a block weighing (Fg) 50 N is resting on a steel table (us = 0.74). The minimum force to start this block moving is what N
Answers
Answer:37
Explanation:
If an Isotope has a Half-life of minutes. How many Half-life's have occurred after 24 minutes?
Answers
Answer:12
Explanation:
classes are sometimes cancelled due to typhoons. How does this impact the learning pupils?
2-3 sentences.
Answers
Answer:
(First Opinion)
Their learning progress going to be stuck until the typhoon stopped, but nowadays we can do online learning (can be at wherever you're), so this doesn't affect much, unless the pupils/teacher directly affected by the typhoon.
(Second Opinion)
Their Learning progress will be stopped for until the goverment allow it, this is according to rules of some country, this is in order to uphold citizen's rights to life, health and safety.
Explanation:
First Opinion is to continue online, so it doesn't affect much.
2nd is to fully stop and suspend in which it affect the pupils learning progress.
Question 7 of 20
A technician is checking a circuit for voltage. In this instance, the voltage reads 4.2v instead of 5v
at the connector. What caused the voltage to read lower than normal?
High current flow
Low resistance
High resistance
High voltage
Next
Answers
Answer:
High current flow
Explanation:
Generally , the measuring instruments used by technician also have some resistance, though its value is very low . So when high current is present in the circuit , that current also passes through the instrument which creates a good potential drop across the instrument . So the external voltage used in the circuit measures less voltage .