Newton's version of Kepler's 3rd law, known as Newton's version of the law of universal gravitation, allows us to determine the masses of orbiting objects.
Kepler's 3rd law states that the square of the period of an object's orbit is proportional to the cube of its average distance from the center of attraction. However, Kepler's laws did not provide any information about the masses of the objects involved in the orbit.
Newton's law of universal gravitation, which describes the force of gravity between two objects, includes the masses of the objects in the equation. By combining Newton's law of universal gravitation with Kepler's 3rd law, Newton was able to derive an equation that allows us to calculate the masses of orbiting objects.
The equation, known as Newton's form of Kepler's 3rd law, is expressed as:
(\(T^{2}\)) = (4\(\pi ^{2}\) / G) * (\(a^{3}\) / (m1 + m2))
Where:
T is the period of the orbit,
G is the gravitational constant,
a is the semi-major axis of the orbit, and
m1 and m2 are the masses of the orbiting objects.
By measuring the period of the orbit (T) and the semi-major axis (a), and knowing the gravitational constant (G), we can solve for the combined mass of the orbiting objects (m1 + m2). This allows us to determine the total mass of the system or the mass ratio between the two objects.
In summary, Newton's version of Kepler's 3rd law, derived from his law of universal gravitation, enables us to determine the masses of orbiting objects based on their orbital periods and distances.
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A 1,160 kg satellite orbits earth with a tangential speed of 7,446 m/s. if the satellite experiences a centripetal force of 8,955 n, what is the height of the satellite above the surface of earth? recall that earth’s radius is 6.38 × 106 m and earth’s mass is 5.97 × 1024 kg. 3.71 × 1028 m 8.02 × 105 m 7.20 × 105 m 9.67 × 1028 m
The satellite is 8.02 × 10⁵ m above Earth's surface.
Let H be the height above the surface of the Earth; since we know that the satellite is rotating around the Earth due to the gravitational pull of the planet, we may assert
Procedure to solve:
F = mv²/R+H
H = mv²/F - R
H = (1160 × 7446²/8955 - 6.38 × 10⁶)
M = 8.02 × 10⁵ m
About centripetal force:
The force applied to an item that is in velocity of curved motion that is pointed toward the axis of rotation or the centre of curvature is known as a centripetal force.
The centripetal force formula is given as the product of mass (in kg) and tangential velocity (in meters per second) squared, divided by the radius (in meters) that implies that on doubling the tangential velocity, the centripetal force will be quadrupled. Mathematically it is written as:
F = mv²/r
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Answer:
8.02x 10^5 m
Explanation:
quiz
When you pluck the end of a kite string, a ripple heads up the string toward the kite. Why is this motion an example of a traveling wave rather than a standing wave
The motion of the ripple traveling up the kite string is an example of a traveling wave, rather than a standing wave.
A traveling wave is characterized by the transfer of energy and motion as it propagates through a medium. In this case, the plucking of the kite string creates a disturbance or vibration that travels along the string towards the kite. The motion of the ripple is not confined to a specific location but continues to propagate in a particular direction.
On the other hand, a standing wave is formed when two waves of the same frequency and amplitude traveling in opposite directions interfere with each other. This results in stationary points called nodes and regions of maximum displacement called antinodes. In the case of the kite string, if the plucking resulted in the formation of a standing wave, we would observe stationary points and regions of maximum displacement along the string rather than the motion of the ripple traveling towards the kite.
Therefore, the motion of the ripple traveling up the kite string is an example of a traveling wave rather than a standing wave.
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A fish swims below the surface of the water at P. An observer at O sees the fish at a greater depth than it really is. the same depth. a smaller depth than it really is.
When a fish swims below the surface of the water at point P, an observer at point O will see the fish at a smaller depth than it really is. This is due to the refraction of light at the water-air interface.
When light travels from one medium to another with a different refractive index, such as from water to air, it changes direction, which is known as refraction. The amount of refraction depends on the angle at which the light hits the interface and the difference in refractive indices between the two media.
In this case, when light from the fish travels from water to air, it undergoes refraction, and the observer at point O sees the fish at a different apparent position. The observer sees the fish at an angle that is different from the actual angle at which the fish is located. This causes the fish to appear at a shallower depth than it really is.
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Answer this question
Answer:
dis krap is too hard
Explanation:
cos x = a·b / |a|·|b|
|a| = √3² + 5² = √9 + 25 = √34 = 2√17
|b| = √2² + 6² = √4 + 36 = √40 = 2√10
a.b = 3*5 + 2*6 = 15 + 12 = 27
a.b / |a|.|b| = 27 / 2√17 * 2√10 = 27 / 4√170 = 27 / 4 * ~13,03
a.b / |a|.|b| = 27 / ~52,15 = ~0,51
x = \(cos^{-1}\)(0,51)
x = ~59.33º =~60º???
draw the process and control scheme for this system if a constraint controller is used, such that when the smaller of two parallel control valves reached 100%, then the controller output is routed
Method controllers hold the output of manner variables inclusive of temperature, stress, float, or degree inside a pre-set range.
Manner controllers keep the output of gadget variables at the side of temperature, pressure, drift, or diploma internal a pre-set range. They use comments from sensors to pick out any deviation from a setpoint and robotically modify output until.
Parameters are lower back within range.
The task of a constraint manipulate scheme is to push a goal variable as far as possible in the preferred course. With distinct phrases, The intention variable shall attain is relying at the purpose maximum or minimum price with out violating some different obstacles.
Constraints are used to restriction the kind of facts that could go proper right into a table. This guarantees the accuracy and reliability of the records within the table. If there can be any violation among the constraint and the information movement, the movement is aborted. Constraints may be column stage or table stage.
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Which wave has a longer wavelength?
what is the rotational kinetic energy of the earth? assume the earth is a uniform sphere. only consider the rotation of earth about its axis (which gives us our day of 24 hours), don't include the motion of earth around the sun. data for the earth can be found inside the back cover of the book. express your answer with the appropriate units.
The rotational kinetic energy of the Earth is approximately 2.14 x 10^29 joules.
The rotational kinetic energy of a uniform sphere is given by:
KE = (2/5) * M * R^2 * w^2
where M is the mass of the sphere, R is the radius of the sphere, and w is the angular velocity of the rotation.
For the Earth, the mass (M) is approximately 5.97 x 10^24 kg and the radius (R) is approximately 6.37 x 10^6 m. The angular velocity (w) can be calculated by dividing the angle of rotation (360 degrees) by the time taken for one rotation (24 hours or 86,400 seconds). This gives:
w = (2 * pi * 360 degrees) / (24 hours * 3600 seconds/hour)
= 7.27 x 10^-5 rad/s
Substituting these values into the equation gives:
KE = (2/5) * (5.97 x 10^24 kg) * (6.37 x 10^6 m)^2 * (7.27 x 10^-5 rad/s)^2
= 2.14 x 10^29 J
Therefore, the rotational kinetic energy of the Earth is approximately 2.14 x 10^29 joules.
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Which piece of evidence suggests that the inner planets were formed from the same rotating cloud of gas and dust?
The piece of evidence that suggests that the inner planets were formed from the same rotating cloud of gas and dust is that the planets orbit the sun in the same direction and in the same plane
Smaller planets like Mercury, Venus, Earth, and Mars are considered inner planets. Mercury is thought to be the smallest inner planet, with Earth being the largest. The vastly larger outer planets, such as Jupiter, Saturn, Uranus, and Neptune, are the opposite.
A route that an object or planet in space follows around another body is referred to as an orbit. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
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Magnets are a mystery to scientists because scientists.
Magnetism is a mysterious force in this universe. Scientists don't fully understand why it occurs in the first place. They aren't sure why these particles have a north and south direction either, according to Live Science, and there are many different forms of magnetism.
What are magnets ?Anything that creates a magnetic field is considered to be a magnet. The most notable characteristic of a magnet is a force that pulls on other ferromagnetic materials, such as iron, steel, nickel, cobalt, etc., and attracts or repels other magnets. This invisible magnetic field is responsible for this property.
A substance or object that generates a magnetic field that has the potential to impact objects nearby. Magnetic materials, such as iron, are drawn to a magnet. A magnetic field is always present in permanent magnets. One of a magnet's two poles is its centre of the magnetic field.
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A gas of certain mass occupies a volume of 650cm3 under a pressure of 750mm hg. calculated the pressure under which the volume of the gas will be reduced by 10 percents of its original volume???
Answer:
just know that if the volume is reduced by 10 the the pressure is increased by 10
5. Find the velocity of a train that traveled 75 km in 35 minutes. (answer
in m/s). Conversion factors: 1000 m = 1 km; 60 s = 1 min.
75km=75000m
35min=2100 seconds
Velocity=Displacement/Time
=75000/2100
=750/21
=35.71 m/s
By considering that all of our energy is obtained from solar by means of photovoltaic devices with an efficiency of 18% using horizontal panels, determine the total of land area needed to fulfill the necessity of 32.6 million population of Malaysia, if the average energy usage per capita is 4,329 kWh. Assume the average daily solar insolation is approximately of 4500 Wh/m² with the sun shines for about 10 h/day.
The land area needed to fulfill the necessity of 32.6 million population of Malaysia would be 18,460,952 m².
The land area needed to fulfill the necessity of 32.6 million population of Malaysia, assuming that all of our energy is obtained from solar by means of photovoltaic devices with an efficiency of 18% using horizontal panels, can be explained as follows:
The average energy usage per capita is 4,329 kWh. Therefore, the total energy usage for the 32.6 million population of Malaysia would be:
Total energy usage = Energy usage per capita × Population
= 4329 kWh/person/year × 32.6 million people
= 141,062,400,000 kWh/year
The average daily solar insolation is approximately of 4500 Wh/m² with the sun shining for about 10 hours per day. Therefore, the total solar energy per day per square meter can be calculated as:
Total solar energy per day per square meter = Solar insolation × Sunshine hours
= 4500 Wh/m² × 10 hours/day
= 45,000 Wh/m²/day
The solar energy generated by a photovoltaic panel is calculated as:
Solar energy generated by a photovoltaic panel = Area of panel × Solar insolation × Efficiency
The area of panel can be calculated as:
Area of panel = Energy usage per year / (Solar insolation × Efficiency × 365 days)
Therefore, the land area needed to fulfill the necessity of 32.6 million population of Malaysia is calculated as:
Land area needed = Total energy usage / (Solar insolation × Efficiency × 365 days)
= 141,062,400,000 kWh/year / (45,000 Wh/m²/day × 0.18 × 365 days)
= 18,460,952 m²
Therefore, the land area needed to fulfill the necessity of 32.6 million population of Malaysia would be 18,460,952 m².
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ii) The distance travelled by an object in time
(100 + 1) s is (5.2 + 0.1) m. What is the
speed and it's error?
Ans: 0.052 ms-l, + 0.029 ms'
Answer:
v = (5.2 ± 0.2) 10⁻² m / s
Explanation:
This is an exercise in kinematics of uniform motion. The formula for the average speed is
v = x / t
let's calculate
v = 5.2 / 100
v = 0.052 m / s
v = 5.2 10-2 m / s
we have to find the uncertainty of this quantity we propagate the error using derivatives
Δv = dv /dx Δx + dv /dt Δt
taking everything in the most unfavorable case, I mean all positive
let's make the derivatives
dv / dx = 1 / t
dv / dt = -x / t²
we substitute
Δv = 1 /t Δx + x /t² Δt
let's calculate the error
Δv = 1/100 0.1 + 5.2 / 100² 1
Δv = 1 10⁻³ + 5.2 10⁻⁴
Δv = 1.52 10⁻³ m/s
the error must be given with a significant figure
Dv = 2 10⁻³ m / s
the answer is
v = (5.2 ± 0.2) 10⁻² m / s
define the concept national building
an unknown additional charge q3 is now placed at point b, located at coordinates (0 m , 15.0 m ). find the magnitude and sign of q3 needed to make the total electric field at point a equal to zero. express your answer in nanocoulombs to three significant figures.
The magnitude and sign of q3 needed to make the total electric field at point a equal to zero is +0.3nc.
What is the charge?
Electric charge is a physical property of matter that causes matter to experience a force when placed in an electromagnetic field.Electric charge can be positive or negative (commonly carried by protons and electrons, by convention). Like charges, they repel each other, and unlike charges, they attract. An object with no net charge is referred to as neutral. The early knowledge of how charged substances interact is now called classical electrodynamics and is still accurate for problems that do not require consideration of quantum effects.Two point charges are placed on the x axis. The first charge, q1 = 8.00 nC , is placed a distance 16.0 m from the origin along the positive x axis; the second charge, q2 = 6.00 nC , is placed a distance 9.00 m from the origin along the negative x axis.
q3 = +0.3nc
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Standard Number to Scientific Notation
1) 653,000
2) 129,430
3)2,263
4) 0.0148
0.0904
Answer:
1) 6.53 × 10^5
2) 1.2943 × 10^5
3) 2.263 × 10^3
4) 1.48 × 10^-2
5) 9.04 × 10^-2
a proton travels with a speed of 4.90 106 m/s at an angle of 61° with the direction of a magnetic field of magnitude 0.240 t in the positive x-direction.
The force experienced by the proton is approximately 1.98 x \(10^-12\) N in the positive y-direction.
To analyze the motion of a proton in a magnetic field, we can use the right-hand rule for charged particles. According to the right-hand rule, if you extend your right hand with the thumb pointing in the direction of the velocity (v) of the charged particle and your fingers in the direction of the magnetic field (B), then the force (F) experienced by the particle will be perpendicular to both v and B, and it will follow the right-hand rule. The magnitude of the force is given by the formula:
F = q * v * B * sin(theta)
where:
F is the magnitude of the force,
q is the charge of the particle (in this case, the charge of a proton q = 1.6 x \(10^-19\) C),
v is the magnitude of the velocity of the proton,
B is the magnitude of the magnetic field,
theta is the angle between the velocity and the magnetic field.
Given:
v = 4.90 x \(10^6\) m/s,
theta = 61°,
B = 0.240 T.
Let's calculate the magnitude and direction of the force experienced by the proton:
F = (1.6 x \(10^-19\) C) * (4.90 x \(10^6\) m/s) * (0.240 T) * sin(61°)
Using the given values and performing the calculations:
F = 1.6 x \(10^-19\) C * 4.90 x \(10^6\) m/s * 0.240 T * sin(61°)
F ≈ 1.98 x \(10^-12\) N
The magnitude of the force experienced by the proton is approximately 1.98 x \(10^-12\) Newtons.
Now let's determine the direction of the force. According to the right-hand rule, if the velocity (v) of the proton is pointing in the positive x-direction and the magnetic field (B) is also in the positive x-direction, then the force (F) experienced by the proton will be perpendicular to both v and B, pointing either upward or downward in the y-direction. The specific direction can be determined by the sign of the charge (q) of the particle. Since the proton has a positive charge, the force will be in the positive y-direction.
Therefore, the force experienced by the proton is approximately 1.98 x \(10^-12\) N in the positive y-direction.
The given question is incomplete and the complete question is '' a proton travels with a speed of 4.90 106 m/s at an angle of 61° with the direction of a magnetic field of magnitude 0.240 t in the positive x-direction. find the force experienced by the proton and direction also.''
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In your own words explain why the thickness and length of a wire could effect the flow of electrons
Answer:
(you can use my exact words) The length and thickness would make it so that the electrons move differently than they would a shorter and thinner wire because with the wire being longer the electrons would have a longer trip and with the wire being thicker the electrons would be more spread out and move be able to move more freely
When measuring wellness, you must consider __________.
A.
all components of health
B.
your physical fitness being in the top 10% of the population
C.
being free of diseases
D.
both physical and mental health
Answer:
D. both physical and mental health
Explanation:
because if you cant mentally function then you wont have the desire to be physical and if your not physical then your not mentally well and you get all depressed.
an automobile battery is charged with a constant current of 2 a for 5 hours. the terminal voltage of the battery is v = 11 0.5t for t>0, where t is in hours. find the energy delivered to the battery
The energy delivered to the battery is 55.0 Wh (Watt-hours).
The energy delivered to the battery is equal to the product of the charging current, the time the battery is charged, and the terminal voltage. We can calculate the energy delivered to the battery by integrating the power (current multiplied by voltage) over time.
The current is constant and equal to 2 A, and the voltage is a function of time given by v = 11 - 0.5t for t > 0, where t is in hours. To calculate the energy delivered to the battery, we need to find the integral of the power over the 5 hour charging period:
Energy = ∫ (current * voltage) dt
= ∫ (2 A * (11 - 0.5t)) dt
= 2 A * ∫ (11 - 0.5t) dt
= 2 A * (11t - 0.25t^2)
= 2 A * (11 * 5 - 0.25 * 5^2)
= 2 A * (55 - 12.5)
= 2 A * 42.5
= 85 Wh
So the energy delivered to the battery is 85 Wh, or 85 Watt-hours.
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The density of a block of wood is 2.7 g/cm³ and a mass of 583.3 g. What is its volume?
A lump of butter has a volume of 350 cm³ and a mass of 319 g. What is the density of the butter?
Answer:
1) To find the volume of the wood block, divide the mass by the density:
Volume = 583.3 g / 2.7 g/cm³
Volume = 216.24 cm³
2) To find the density of the butter, divide the mass by the volume:
Density = 319 g / 350 cm³
Density = 0.9114 g/cm³
Explanation:
PLEASE ANSWER
Krishne wants to measure the mass and volume of a key. Which tools should she use?
A. a balance and a beaker of water
B. a balance and a meter stick
C. a beaker of water and a ruler
D. a ruler and a meter stick
Answer:
A balance and a beaker of water!
Explanation:
Krishne wants to measure the mass and volume of a key. The tools that are to be used are – a balance and a beaker of water.
Mass will be represent with the amount of matter that is in an object. This will be measured in terms of kilogram. The mass can easily be measured with balance.
Volume is the quantity of matter that is in the object. This is measured in terms of cubic meter. If you drop the key in a beaker of water, the water inside the beaker will increase and this increases the volume of water that will be equal to volume of key.
What is conclusion about current in a series and parallel electric circuits ?
I can't be sure of the conclusion, because I don't know what question was discussed. But here are a few things that I know about current in series and parallel electric circuits:
In series electric circuits ...
... The current has only one path to travel.
... There are no points in the circuit where the current splits up.
... The current has the same value at every point in the circuit.
... The current through every circuit element has the same value, but the voltages across them may be different.
... The sum of the voltages across every circuit element is equal to the voltage between the ends of the circuit (where the battery is connected).
In parallel electric circuits:
... The current has more than one possible path to travel.
... There are one or more points in the circuit where the current splits up, and parts of the current proceed along different paths.
... There are one or more points in the circuit where currents from different paths combine, and proceed together along the same path.
... The voltage across each branch of the circuit has the same value, but the current through them may be different.
... The sum of the currents entering and leaving any point in the circuit is zero.
Which muscles help you sit up from laying down?
Answer: abdominal muscles.
Explanation:
what can you conclude about the characteristics of this star based on its position on the H-R diagram?
A) It is very hot compared to other stars
B) It will form a black hole
C) The star is young
D) The star will become a supernova
From the Hertzsprung-Russell (H-R) the correct option is A) It is very hot compared to other stars.
In the event that a star is found within the upper cleared-out corner of the Hertzsprung-Russell (H-R) chart, it is likely a hot star.
The upper cleared out corner of the H-R graph speaks to stars that are exceptionally brilliant and have tall temperatures, such as blue monsters, blue supergiants, and O-type stars.
These stars are much hotter than stars just like the Sun, which are found within the center of the H-R graph. In this manner, in the event that a star is found within the upper cleared out corner of the H-R graph, it is likely a hot star.
In any case, the particular properties and characteristics of the star, such as its age, estimate, and developmental organize, would depend on its correct area on the H-R chart.
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A ball is thrown horizontally at a speed of 7.9 m/s. When the ball is released, it is 1.8 m off the ground. How far (horizontally) will the ball travel?
If a ball is tossed horizontal at a speed of 7.9 m/s, it will travel 4.8 meters (horizontally).
What exactly does it entail to speed?Teenagers, young adults, and others take various stimulant medications collectively referred to as "speed" to feel more focused and alert, as well as occasionally to get high. Additionally, some people take various forms or speed to suppress their appetite.
How fast is relativistic motion?Relativistic speed is the rate at which relativity effects matter for the desired level of measurement precision of the phenomenon being examined. Relativistic effects are the differences between values calculated using models that take relativity into account and those that do not.
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The word
means big enough to be seen with the eye.
macroscopic
organic
artificial
microscopic
Answer:
Macroscopic
Explanation:
Visible to the human eye. Does not need any form of magnification.
calculate the de broglie wavelength of a subatomic particle that is moving at 351 km/s, if its mass is 9.11 x 10–31 kg. λ
De Broglie wavelength of the subatomic particle is 0. 0020 * (10 )^ -3 nm.
What do you mean by a subatomic particle?Any of the multiple self-contained units of matter or energy that are the building blocks of all matter are considered subatomic particles, also known as elementary particles. They include the heavier constituents of the small but extremely dense atom's nucleus, the positively charged protons and the electrically neutral neutrons, as well as the electrons, the negatively charged, nearly massless particles that nonetheless make up the majority of the atom's size. The only known subatomic particles, however, are not these fundamental atomic building blocks. The electron is just one member of a class of fundamental particles that also includes the muon and the neutrino. Protons and neutrons, for example, are composed of quarks.
Let the De Broglie wavelength be Λ.
Λ = h/p
= (6.626 * 10^-34) / (351 * 9.11 * 10^-31)
Λ = 0.0020 * 10^-3 nm
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por qué existen diferentes tipos de estrellas
How precise a measurement could you make with the scale shown below?
The precision of any measurement made using this scale would be to the nearest 0.01.
Why is a weighing scale important?A weighing scale is important because it allows us to accurately measure the weight of an object or a person. This information is always useful in many different fields, such as in cooking, science, medicine, and industry.
The scale shown below has two decimal places, which means the smallest unit of measurement it can display is 0.01. As a result, any measurement made with this scale would be accurate to the nearest 0.01.
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