Answer:
The velocity of the baseball relative to the Earth as it leaves the thrower's hand is 0 m/s.
Explanation:
To determine the velocity of the baseball relative to the Earth as it leaves the thrower's hand, we need to consider the velocity of the train and the velocity of the baseball.
Given:
Velocity of the train (v_train) = 15 m/s (positive, since it's in the forward direction)
Velocity of the baseball relative to the train (v_baseball) = -15 m/s (negative, since it's in the opposite direction of the train)
To find the velocity of the baseball relative to the Earth, we can add the velocities of the train and the baseball:
Velocity of the baseball relative to the Earth (v_baseball_Earth) = v_train + v_baseball
v_baseball_Earth = 15 m/s + (-15 m/s)
v_baseball_Earth = 0 m/s
The velocity of the baseball relative to the Earth as it leaves the thrower's hand is 0 m/s. This means that the baseball has no net velocity relative to the Earth and remains stationary with respect to the Earth's frame of reference, despite being thrown by the passenger in the moving train.
How does an object become negatively charged? It gains electrons. It loses electrons. It gains protons. It loses pro...
An object becomes negatively charged when It gains electrons. Option A is correct.
What is an atom?The atom consists of matter that may be split without releasing electrical charges.
It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.
In the nucleus proton and the neutron is exists. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.
An object becomes negatively charged when It gains electrons. Because the electron is a negative cahrge particle.
Hence, option A is correct.
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derivation of green's function for schrodinger wave equation?
The derivation of Green's function for the Schrödinger wave equation involves using the concept of superposition of solutions to find a particular solution for a given initial condition.
Green's function is a fine tool that's used to break discriminational equations, including the Schrödinger equation. The idea behind Green's function is to find a result to the discriminational equation that satisfies a given original condition. In the environment of the Schrödinger equation, Green's function represents the probability breadth of chancing a flyspeck at a particular position at a particular time, given that it started from a known original position and time.
The Green's function is attained by working the Schrödinger equation for a delta function source at the original position. To decide Green's function, one can consider the Schrödinger equation with a delta function source at some original position. This leads to the result for the surge function as a sum of two terms- a free flyspeck term and a term due to the delta function source.
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A 0.500 kg object tied to a string is swung around a person's
head in a horizontal circle. The length of the string is 1.00 m
and the maximum force the string can withstand without
breaking is 25.0 N. What is the maximum speed the object may
be swung without breaking the string?
Answer:
25 N
If you’re doing ck-12
The object may be swung with maximum velocity of 7.07 m/s without breaking the string.
What is centripetal force?The centripetal force definition states that: The force applied to an item in curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.
Newtons are used to measure centripetal force.
Given that:
mass of the object = 0.500 kg.
The length of the string = 1.00 m.
If the maximum speed of the object be v,
maximum centripetal force be = 0.5v²/1.0 N = v²/2 N.
As the maximum force the string can withstand without breaking is 25.0 N,
25.0 = v²/2
⇒ v = 5√2 m/s = 7.07 m/s.
Hence, the object may be swung with maximum velocity of 7.07 m/s without breaking the string.
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Witch is not true about longitudinal waves?
Answer:
light is a longitudinal wave.
Explanation:
lol
Define threshing?
Brainliest For the right answer
Answer:
Process used for separating grains from the stalks is known as threshing, In this process, stalks are beaten to free the grain seeds.
Answer:
Threshing is extraction of wheat germ from the stalk. In today's usage the combine tractor cuts and threshes the wheat at the same time. Imagine a big lawn mower with a rotating drum inside.
The drum turns and shakes the germ out of the wheat, the seeds falling through small holes onto a conveyor belt one way, the leftover grass dumping out the other way. The grain is poured into a truck driving beside the combine.
In old times, grain had to be beaten out of the grass on a Threshing Floor.
Scientists observe an approaching asteroid that is on a collision course with
Earth. They devise a plan to launch a rocket that will collide with the asteroid
inelastically and stop it. The mass of the asteroid is 9000 kg, and it is
approaching Earth at 45 m/s. If the rocket has a mass of 1800 kg, what
velocity must it have to completely stop the asteroid after collision?
OA. - 225 m/s
B. 306 m/s
OC. 45 m/s
D. - 116 m/s we
The velocity of the rocket must be -225 m/s (negative indicating opposite direction) to completely stop the asteroid after the collision.
To completely stop the asteroid after collision, we can apply the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is given by the product of its mass and velocity:
momentum = mass * velocity
For the asteroid before collision:
momentum_asteroid = mass_asteroid * velocity_asteroid
For the rocket before collision:
momentum_rocket = mass_rocket * velocity_rocket
Since the rocket collides inelastically with the asteroid, they stick together after the collision. The final velocity of the combined system (rocket and asteroid) will be zero since they come to a complete stop. Therefore, the total momentum after the collision is zero:
momentum_after_collision = (mass_asteroid + mass_rocket) * 0
Using the principle of conservation of momentum, we can set the initial momentum equal to the final momentum:
momentum_asteroid + momentum_rocket = momentum_after_collision
mass_asteroid * velocity_asteroid + mass_rocket * velocity_rocket = 0
Substituting the given values:
9000 kg * 45 m/s + 1800 kg * velocity_rocket = 0
Simplifying the equation, we can solve for the velocity of the rocket (velocity_rocket):
velocity_rocket = - (9000 kg * 45 m/s) / 1800 kg
velocity_rocket = - 225 m/s
Therefore, the velocity of the rocket must be -225 m/s (negative indicating opposite direction) to completely stop the asteroid after the collision.
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When a car comes to a stop, the car’s brakes create an (answer) that is in the same direction/opposite direction as the velocity vector.
When a car comes to a stop, the car’s brakes create a force that is in the opposite direction as the velocity vector.
What is a friction force?A friction force is a type of force that opposes two surfaces that are in contact with each other.
According to Newton's first law of motion, an object at rest or uniform motion in a straight line will continue in that state unless it is acted upon by an external force. And the object will tend to move in the direction of the applied force.
So if a car's brake is applied, it will create a friction force that will oppose the motion of the car and by so doing, it will gradually bring the car to a complete stop.
The force created by the brake of the car is friction force and it is in opposite direction to the force of the car.
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The compound formed from the elements calcium and chlorine is known as
Answer:
calcium chloride
Explanation:
an inorganic compound,a salt with the chemical formula CaCl2
Read the following situation and determine which of Newton's laws is being demonstrated and state why it is that law.
You balance a meter stick on one finger & the ruler on the other finger.
You find that one of them is easier to balance than the other.
Which of Newton's three laws is this situation demonstrating, and why is that law?
The situation is demonstrating Newton's second law of motion because the force acting on the finger is greater for the meter rule than the meter stick.
What are the Newton's laws of motion?Newton's laws of motion are laws which describe the relationship between the motion of bodies and objects and the forces that cause the motion.
There are three laws of motion propounded by Newton. The laws are:
An object will remain in its state of rest or motion along a straight line unless acted upon by an external forceThe rate of change of the velocity of a body is directly proportional to the applied net force and inversely proportional to the mass of the body.For every action, there is an equal but oppositely directed reactionConsidering the given problem:
You balance a meter stick on one finger & the ruler on the other finger. You find that one of them is easier to balance than the other.
The meter ruler has greater mass than the meter stick.
Based on their masses, the force of gravity acting on meter ruler is greater than that on the meter stick, therefore, it is more difficult to balance the meter rule on a finger than the meter stick. This is according to Newton's second law of motion of unbalanced forces.
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A vertical tube one meter long is open at the top. It is filled with 75 cm of water. If the velocity of sound is 344 m/s, what will the fundamental resonant frequency be (in Hz)?
Answer:
344Hz
Explanation:
First we need to more that the frequency will inky resonate in the portion not containing water. If the total length is 1m and the filled with water up to 75cm, the length of the air column will be 100cm - 75cm = 25cm
Fundamental frequency of a closed pipe fo = V/4L
V is the velocity of sound in air
L is the length of the air column
Given V = 344m/s
L = 25cm = 0.25m
fundamental resonant frequency = 344/4(0.25)
= 344/1
= 344Hz
Which statement describes a primary difference between an electromagnetic wave and a mechanical wave
The primary difference is that electromagnetic waves can propagate through a vacuum or empty space, while mechanical waves require a physical medium to transmit energy.
Difference between an Electromagnet and Mechanical WaveA primary difference between an electromagnetic wave and a mechanical wave is the medium through which they propagate.
Electromagnetic waves can propagate through a vacuum or empty space without requiring a material medium. They are generated by the oscillation and interaction of electric and magnetic fields.
Examples of electromagnetic waves include radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. These waves can travel through space, air, or other materials, as they do not rely on physical particles to transmit energy.
On the other hand, mechanical waves require a physical medium to propagate. They are disturbances that travel through a material medium, transferring energy from one location to another. Mechanical waves rely on the interaction and displacement of particles within the medium to transmit energy.
Examples of mechanical waves include sound waves, water waves, seismic waves, and waves on a string. These waves cannot travel through a vacuum as they depend on the physical presence and interaction of particles within the medium.
In summary, the primary difference is that electromagnetic waves can propagate through a vacuum or empty space, while mechanical waves require a physical medium to transmit energy.
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What is TRUE about the use of drawings at a crime scene?
O A. Drawings are no longer used because photography is more precise.
OB. Only when a camera is not immediately available should a sketch be made.
O c.
It is common practice for investigators to make a sketch of a crime scene.
OD. Investigators are trained in how to make a quality finished sketch of a scene.
Answer:
A. Drawings are no longer used because photography is more precise.
Explanation:
It is common practice for investigators to make a sketch of a crime scene.
Creating sketches of crime scenes is a common practice among investigators, as it provides valuable visual documentation that complements photographs and written notes. While photography is an important tool for capturing detailed and precise information, sketches offer unique advantages that contribute to the overall understanding of the crime scene.
Sketches can provide a clear and organized representation of the spatial relationships, distances, and dimensions within the crime scene. They can accurately depict the layout of the area, the position of evidence, the location of key objects, and other relevant details that may not be fully captured by photographs alone.
Additionally, sketches allow investigators to emphasize specific features or elements that are essential to the case. This can aid in explaining the sequence of events, the movement of individuals or objects, and other dynamic aspects of the crime scene.
While digital photography is widely used today, sketches remain valuable for scenarios where a camera may not immediately be available, when capturing certain angles or perspectives is challenging, or when highlighting specific details is necessary.
Investigators are trained in creating accurate and detailed sketches that adhere to professional standards. This includes ensuring accurate measurements, using appropriate scale ratios, labeling key features, and maintaining object proportions. Sketched crime scene diagrams are often included in official investigative reports and court proceedings to provide a comprehensive visual representation of the crime scene, enhancing the communication of information among investigators, legal professionals, and jurors.
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a girl of whose mass is 50kg carries a box of mass 20kg high.she take 16s to climb up the steps (take g=10m/s^2). what is her weight?
Explanation:
\(w = m.g\)
\(m =70 \\ g = 10\)
70x10=700N
A wire is joined to points X and Y in the circuit diagram shown. A diagram of a circuit with a power source on the left. Directly above the power source is a dot labeled X and then a circle with an X in it. The circuit then splits with one path straight back to the power source and the other path has 3 circles with X in them labeled 2, 3, and 4 respectively. There is a point labeled Y between circles 2 and 3.A diagram of a circuit with a power source on the left. Directly above the power source is a dot labeled X and then a circle with an X in it. After the x are 4 different circles on the circuit with Xs in them labeled 1, 2, 3, and 4 respectively. There is a point labeled Y in between circles 2 and 3. There is a branch of the circuit from X to Y. How does the circuit change when the wire is added? A closed circuit occurs and makes all bulbs turn off. An open circuit occurs and makes all bulbs turn off. A short circuit occurs and makes bulbs 3 and 4 turn off but keeps bulbs 1 and 2 lit. A short circuit occurs and makes bulbs 1 and 2 turn off but keeps bulbs 3 and 4 lit.
Answer:
c thats the answer yep
Answer:
D.
Explanation:
The wire allows the current to follow the quickest path & will therefore follow the XY wire, restricting the energy source from reaching bulbs 1 and 2 which are beyond that wire.
if no action is taken to address the issues evaluate whether the impact of light pollution radio interference and space debris on the field of astronomy is lily to worsen lessen or remain the same during the next 50 years
If no action is taken to address the issues evaluate whether the impact of light pollution radio interference and space debris on the field of astronomy is then a. likely to worsen
Astronomers already have a serious problem with light pollution from cities and other sources, which makes it more challenging to detect dim objects in the night sky. Light pollution is predicted to get worse unless action is taken to stop it as urbanisation grows and more artificial lights are installed.
Astronomical observations can be affected by radio interference from telecommunications, and unless steps are taken to reduce the issue, the issue is only going to become worse as the number of radio-emitting devices rises. In addition, astronomers' instruments and spacecraft are increasingly in danger from space debris. The probability of collisions and other accidents is anticipated to rise as the amount of trash in space continues to rise.
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Complete Question:
If no action is taken to address the issues evaluate whether the impact of light pollution radio interference and space debris on the field of astronomy is then -
a. likely to worsen
b. lessen or remain the same during the next 50 years
What is evidence used by Galileo to disprove Aristotle and Ptolemy?
Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.
Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:
1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.
2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.
3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.
4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.
These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.
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answer the question in the picture
The option that represents what the magnetic field look like above the North pole is an arrow that decreases as we go up and points up (E)
How to explain the informationThe magnetic field lines of a magnet point away from the north pole and towards the south pole. The field lines are strongest at the poles and weaken as you move away from the poles.
So, the arrow that represents the magnetic field above the north pole will be pointing up, but it will become smaller and smaller as you go up.
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g What is the CD's moment of inertia for rotation about a perpendicular axis through the edge of the disk
Answer:
Explanation:
A CD has an OD of 120 mm and an ID of 15 mm and has a mass between 14 and 33 grams. Let's call it m
Lets call the outer and inner radii R and r respectively
Find the moment of inertia about a line perpendicular to the surface of the disc through its center. We can integrate or look up the result from standard tables
I = ½m(R² + r²)
then use the parallel axis theorem to shift the position of the axis
I = ½m(R² + r²) + md²
where d is the distance of the shift. In this case d = R
I = ½m(R² + r²) + mR²
I = m(1.5R² + 0.5r²)
If we select a mass of say 20 grams
I = 0.020(1.5(0.060²) + 0.5(0.0075²))
I = 0.0001085625 kg•m²
I need to know the correct answer please ?
Answer:
675 Pa.
Explanation:
F = 5+2cos(15t) kN
Area (a) = 8*10-3 m2
Now at t =4 sec
F= 5+2cos(60)
= 5+2*0.5
= 6 kN
Now ,force efficiency is 90%.
Hence,the effectively transmitted force,
Fe = 0.90*6
= 5.4 kN
Hence,pressure is given as,
P = Fe/a
= 5.4*10^3/(8 *10^-3))
P = 675 Pa....answer
When a disrupted part of a wetland ecosystem is left alone so that nature can help restore it to what it once was, what are people counting on occurring? explain..
Answer: When a disrupted part of the ecosystem is left alone so that nature can help restore itself what people are counting on happening is secondary succession
Explanation:
HALP I NEED THE ANSWER!!!! Move on to electric force. Blow up the two balloons and knot them. Then tie a thread onto each balloon. Suspend the two balloons using tape so that they’re about six inches apart, and check that they don’t move or interact. Rub both balloons with wool or fur. If wool or fur is not available, rub the balloons on your hair. Do they attract or repel (push away) each other?
Answer:
Attract
Explanation:
The balloons attract each other due to electrons.
Hope this helps :)
A soccer player kicks a soccer ball (m = 0.42 kg) accelerating from rest to 32.5m/s in 0.21s. Determine the force that sends soccer ball towards the goal.
Plis I need Help:(
Answer:
F=65 N
Explanation:
Uniform Acceleration
When an object changes its velocity at the same rate, the acceleration is constant.
The relation between the initial and final speeds is:
\(v_f=v_o+a.t\)
Solving for a:
\(\displaystyle a=\frac{v_f-v_o}{t}\)
Where:
vf = Final speed
vo = Initial speed
a = Constant acceleration
t = Elapsed time
The ball is kicked from rest vo=0 to vf=32.5 m/s in t=0.21 s. Computing the acceleration:
\(\displaystyle a=\frac{32.5-0}{0.21}\)
\(a=154.8\ m/s^2\)
Note: We have shown this result rounded to the nearest tenth, but we kept all the decimals in a scientific calculator for further calculations.
The force needed to accelerate the soccer ball is calculated by:
F = ma
The ball has a mass of m=0.42 kg, thus:
F=0.42*154.8
F=65 N
As mentioned, this result can only be obtained by keeping full precision in the above calculations.
3. Which is a general chemical equation for an endothermic, double-replacement reaction?
✓
O AB+ CD + energy-> AD+ CB
O AB+ CD AD + CB + energy
O AB+ C + energy - A+ CB
O AB+C- A+ CB + energy
The correct answer is A. AB+ CD + energy-> AD+ CB
Explanation:
In chemistry, a reaction is endothermic if the reaction involves absorption of heat or energy and this is necessary for the reaction to start. In terms of the chemical equation, this implies energy is part of the reactants or initial substances. Besides this, if the reaction is a double-replacement reaction this means two ions of the original substances are swapped or replaced, which means new substances in the products.
According to this, option A is the correct chemical equation because energy is part of the reactants, which shows the reaction is endothermic and the reactants AB + CD lead to the products AD + CB which shows two ions of the compounds were replaced (double replacement).
Answer:
The proper Answer is A) AB+CD + Energy --> AD + CB
Explanation:
What four things
are required for photosynthesis?
Explanation:
carbon dioxide, chlorophyll, water and light
I need helpppppppppppppppppppppppppppppppppppppppppppppp
Answer:u
Laa c
Explanation:
Two uncharged spheres are separated by 2.60 m. If 1.90 x 1012 electrons are removed from one sphere and placed on the other determine the magnitude of the Coulomb force (im N) an one of the spheres, treating the spheres as point charges.
The magnitude of the Coulomb force between the spheres, when 1.90 x \(10^{12\) electrons are transferred, is 2.34 x \(10^{-4\) Newtons.
To determine the magnitude of the Coulomb force between two uncharged spheres.
Given that 1.90 x \(10^{12\) electrons are removed from one sphere and placed on the other, we need to calculate the charge on each sphere. The charge on a single electron is -1.6 x \(10^{-19\) coulombs, so the charge transferred from one sphere to the other is:
Q = (1.90 x \(10^{12\)) × (-1.6 x \(10^{-19\)) = -3.04 x \(10^{-7\) coulombs
Since one sphere loses electrons and becomes positively charged, while the other gains electrons and becomes negatively charged, the magnitude of the charge on each sphere is:
|Q| = 3.04 x \(10^{-7\) coulombs
Now, we can calculate the magnitude of the Coulomb force using Coulomb's law:
F = k * (|Q1| * |Q2|) / \(r^2\)
where k is the electrostatic constant (k = 8.99 x \(10^{9}\) N \(m^{2}\)/\(C^{2}\)) and r is the distance between the centers of the spheres (r = 2.60 m).
Plugging in the values, we get:
F = (8.99 x \(10^{9}\) N \(m^{2}\)/\(C^{2}\)) * (3.04 x \(10^{-7\)C)² / \((2.60 m)^2\)
Simplifying this expression, we find:
F ≈ 2.34 x \(10^{-4\) N
Therefore, the magnitude of the Coulomb force between the spheres, when 1.90 x \(10^{12\) electrons are transferred, is approximately 2.34 x \(10^{-4\) Newtons.
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why the density of an unknown substance in a mixture can be used to identify the substance?
Answer:
Explanation: You may figure out what it is by calculating the density of a substance to be identified and comparing the result to a table of known densities.
Density is also a helpful property since it bridges the gap between the mass and volume of a material. Density=mass/volume. Assume you're tasked with identifying an unknown material. The mass of the material may be calculated using a scale. The volume can be determined by dropping the object into a graduated cylinder containing a known volume of water and measuring the new volume. The density is calculated by dividing the mass by the volume and comparing it to a list of known densities.
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What is a measure of how hard it is to stop a moving object?
25.
A. gravity
B. weight
C.
inertia
D. momentum
Answer:
C. inertia
Explanation:
inertia describes an object’s resistance to change in motion (or to get in motion due to a lack of motion), and momentum describes how much motion it has.
both are connected, as inertia depends on the object's momentum, but the answer here is inertia.
Which of the following circuits can be used to measure the resistance of the heating element, shown as a resistor in the diagrams below?
In order to measure the resistance in the circuit, we need to know the voltage V and the current I in the circuit, this way we can calculate the resistance using the formula:
\(R=\frac{V}{I}\)In order to calculate the current, we can use an amperemeter that must be in series with the circuit, this way it will not affect the circuit.
And in order to calculate the voltage, we can use a voltmeter that must be in parallel with the resistance, this way it will not affect the circuit.
The correct option that shows an amperemeter in series and a voltmeter in parallel is the fourth option.
Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. A satellite of mass mis orbiting Earth in a stable circular orbit of radius R. The mass and radius of Earth are Mg and Rg , respectively. Express your answers to parts (a), (b), and (c) the following in terms of m, R, ME, Rg , and physical constants, as appropriate.
(a) Derive an expression for the speed of the satellite in its orbit.
(b) Derive an expression for the total mechanical energy of the satellite-Earth system in its orbit.
(c) Derive an expression for the period of the satelliteâs orbit.
(d) The satellite is replaced with a similar satellite that has twice the mass. The new satellite is placed into the same orbit as the original satellite. Is the new satelliteâs orbital speed greater than, less than, or equal to the original satelliteâs orbital speed?
A satellite of mass mis orbiting Earth in a stable circular orbit of radius R, (a) Speed of satellite is v = sqrt(G x Mg/R). (b) total mechanical energy is E = KE + PE. (c) the period of the satellite as orbit is T = 2 x pi x sqrt(R^3 / (G x Mg)).
(a) The speed of the satellite in its orbit can be derived using Kepler's second law of planetary motion, which states that a planet or satellite's orbital speed is inversely proportional to the square root of the distance from the center of the planet or satellite to the center of the primary body. This can be expressed mathematically as:
v = sqrt(G x Mg / R)
where v is the orbital speed of the satellite, G is the gravitational constant, Mg is the mass of Earth, and R is the radius of the satellite's orbit.
(b) The total mechanical energy of the satellite-Earth system in its orbit can be calculated using the formula for kinetic energy and the formula for gravitational potential energy. The kinetic energy of the satellite is given by:-
= KE
= 1/2 x m x v^2
The satellite's gravitational P.E. determined by:
= PE
= -G x Mg x m / R
The total mechanical energy of the satellite-Earth system is the sum of the kinetic energy and gravitational potential energy, so:
= E
= KE + PE
= 1/2 x m x v^2 - G x Mg x m / R
(c) The period of the satellite's orbit is the time it takes for the satellite to complete one full orbit around Earth. This can be calculated using the formula:-
= T
= 2 x pi x sqrt (R^3 / (G x Mg))
where T is the period of the orbit, G is the gravitational constant, Mg is the mass of Earth, and R is the radius of the satellite's orbit.
(d) If the new satellite has twice the mass of the original satellite, then its kinetic energy will be four times greater, since KE is proportional to m. However, the gravitational potential energy of the new satellite will also be four times greater, since PE is proportional to m. Since the total mechanical energy of the satellite-Earth system is the sum of the kinetic and gravitational potential energy, the total mechanical energy of the new satellite-Earth system will be the same as the total mechanical energy of the original satellite-Earth system. Therefore, the new satellite's orbital speed will be the same as the original satellite's orbital speed.
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