A satellite of mass 1.02 metric tons orbits Earth at a constant height. If the mass of Earth is 6 x 10^24 kg,its radius is 6,360 km,and the gravitational force between Earth and the satellite is 6.6 x 10^3 N, find the height of the satellite’s orbit rounded to the nearest kilometer. Take the universal gravitational constant, G = 6.67 x 10^-11 Nm^2/kg^2.
Answer:
height = 1.5 x 10⁶ m = 1500 km
Explanation:
We can use the formula of gravitational force from the Newton's Gravitational Law:
[tex]F = \frac{Gm_{1}m_{2}}{r^2}[/tex]
where,
F = Gravitational Force = 6.6 x 10³ N
G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
m₁ = mass of earth = 6 x 10²⁴ kg
m₂ = mass of satellite = (1.02 tons)(1000 kg/1 ton) = 1.02 x 10³ kg
r = distance between center of earth and satellite = ?
Therefore, using these values in the equation, we get:
[tex]6.6\ x\ 10^3\ N = \frac{(6.67\ x\ 10^{-11} N.m^2/kg^2)(6\ x\ 10^{24} kg)(1.02\ x\ 10^3\ kg)}{r^2}\\\\r^2 = \frac{(6.67\ x\ 10^{-11} N.m^2/kg^2)(6\ x\ 10^{24} kg)(1.02\ x\ 10^3\ kg)}{6.6\ x\ 10^3\ N}\\\\[/tex]
[tex]r = \sqrt{61.84\ x\ 10^{12}\ m^2 }[/tex]
[tex]r = 7.86\ x\ 10^6 m[/tex]
The distance between center of earth and the satellite is equal to the sum of height of satellite and radius of earth:
[tex]r = height + radius\ of\ earth\\7.86\ x\ 10^6 m = height + 6.36\ x\ 10^6 m\\height = 7.86\ x\ 10^6 m - 6.36\ x\ 10^6 m[/tex]
height = 1.5 x 10⁶ m = 1500 km
If a bag of pretzels says it contains 10 servings, and each serving is 150 calories, how many calories would you consume if you ate the entire bag?
300, adding extra healthy calories
1,000, adding extra unnecessary calories
1,500, adding extra unnecessary calories
2,000, adding extra healthy calories
Answer:
5400
Explanation:
i calculated it
Big brain
4. What is the acceleration of a box weighing 666 N if a force of 777 N is applied to it?
Heya!!
For calculate aceleration, lets applicate second law of Newton:
[tex]\boxed{F=ma}[/tex]
Δ Being Δ
F = Force = 85,5 N
m = Mass = ?
a = Aceleration = ?
First, lets calculate the mass using weight, for that lets use Newton law:
[tex]\boxed{m=w/g }[/tex]
Δ Being Δ
w = Weight = 666 N
g = Gravity = 9,82 m/s²
m = Mass = ?
⇒ Let's replace according the formula and clear "a":
[tex]\boxed{m = 666\ N / 9,81\ m/s^{2} }[/tex]
⇒ Resolving
[tex]\boxed{ m = 67,88\ kg }[/tex]
Like now we have the mass, lets calculate the aceleration:
⇒ Let's replace according the formula and clear "a":
[tex]\boxed{a=777 \ N / 67,88\ kg}[/tex]
⇒ Resolving
[tex]\boxed{ a = 11,445 \ m/s^{2}}[/tex]
Result:
The aceleration is 11,445 meters per second squared (m/s²)
Good Luck!!
Anya knows the velocity of an object. What else does she need to know in order to find the object’s momentum?
its mass
its height
its density
its speed
What she need to know in order to find the object’s momentum will be its mass. The correct answer is option A
MOMENTUMMomentum is the product of mass of a body and its velocity. That is,
Momentum = mass x velocity
The S.I unit is Kgm/s
If Anya knows the velocity of an object. What she need to know in order to find the object’s momentum will be its mass.
Therefore, the correct answer is option A
Learn more about Momentum here : https://brainly.com/question/402617
Why did people think that Pluto was a planet in the decades after its discovery
Answer:
Pluto is no longer considered a planet as a result of it's small size on the IAU scale.
Explanation:
A bamboo plant grows at an average rate of 3.75 cm/h. How much will it grow inc6 hours
Answer:
22.5 inches in 6hours
Explanation:
Because it tells us it grows 3.75 an hour which is an ratio of 3.75 to 1 so you would just multiply 3.75 with 6
Hope this helps
How does the number of fins affect energy transfer?
Answer:
Because the more coolant passed through the fins, the more energy can be emitted
What is the wavelength of a sound wave with a frequency of 50 Hz and a speed of 340 m/s?
Heya!!
For calculate wavelength, lets applicate formula:
[tex]\boxed{\lambda = V/f}[/tex]
Δ Being Δ
f = Frequency = 50 Hz
v = Velocity = 340 m/s
[tex]\lambda[/tex] = Wavelenght = ?
⇒ Let's replace according the formula:
[tex]\boxed{\lambda = 340\ m/s / 50 \ Hz }[/tex]
⇒ Resolving
[tex]\boxed{\lambda = 6,8\ m}[/tex]
Result:
The wavelength is 6,8 meters.
Good Luck!!
What does someone with high self esteem look like
Answer:
Happy
Explanation:
They just look happy with theirselves
How long does the lunar cycle take to complete
Answer: Bueno no tengo idea 292
Explanation:
4. A car accelerates, from rest, at 2.4 m/s?. How fast is the car traveling
after 8 s?
a. 19.2 m/s
b. 3.33 m/s
C. 4 m/s
d. 20 m/s
Answer:
19.2m/s
Explanation:
Assuming that 2.4m/s^2 was the acceleration and not a typo, we can use the equation v=at, where v=velocity, a=acceleration, and t=time,
plug in known varibles,
v=2.4*8
v=19.2m/s
help with this please!!!!
Answer:
Energy
Explanation:
The amount of energy put in is less.
Answer:
energy
Explanation:
I'm not sure...
Bolt starts the race not moving, but then increased his speed until he reaches a top speed. Once Bolt reaches his top speed he maintains that speed for a few seconds to: a) move at constant velocity b) accelerate by moving faster c) accelerate by moving slower
Answer:
a
Explanation:
In order to maintain speed, a moving object or person must move at a constant velocity. Accelerating will increase the speed while decelerating will reduce the speed.
Hence, for Bolt to be able to maintain the top speed for a few seconds, he needs to move at a constant velocity.
The correct option is a.
Thoughts about controlling attitude of humankind is extended to nature when in fact humanity is part of nature
Incomplete question. However, I inferred you want an explanation for the assertion above.
Explanation:
Interestingly, humans have a diverse thought process, it is this diversity that makes part of us want to control how others behave forgetting that humanity is part of nature; which is also diverse.
For example, we know humans do not wings to fly, it is not part of our nature. Similarly, others do not display affection the same we do today and are so we need to respect their nature; their personality.
Why is it important for earth’s magnetic field that the inner core is hotter then the outer core?
A. The inner core heat produce stuff
it important for earth’s magnetic field that the inner core is hotter then the outer core because, the inner core provides the heat source for outer core convection. Hence, option c is correct.
What is convection currents ?Convection is a mode of heat transfer in fluids. The hotter fluid molecules rises from the surface and makes other molecules also hot. The mantle fluid inside the earth core generates a convection current by the heat radiated from sun.
As a result of radioactive heating and chemical differentiation, the earth's outer core is currently experiencing turbulent convection. This creates a process where the convective kinetic energy is transformed into electrical and magnetic energy, much resembling a naturally occurring electrical generator.
In essence, electric currents are induced by the movement of electrically conducting iron in the presence of the earth's magnetic field. Hence, option c is correct.
Find more on convection current:
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Does ANYONE take IPC? (Integrated Physics & Chemistry)
Answer:
No
I'm in middle School
When a neutrally charged atom loses an electron to another atom, the result is the creation of ________?
Answer:
Nuclear Fission
Explanation:
Answer:
B. It must readily accept electron flow.
Explanation:
PLEASE HURRY!!!!
Rocco makes the graphic organizer shown to review the characteristics of transistors.
Which statement belongs in the region marked X?
a) The current flows toward the base from the emitter.
b) The base is more negative than the emitter.
c) The base is the center layer.
d) The main charge carriers are negative electrons.
The statement that belongs to region X is option (d)
(d) The main charge carriers are negative electrons
The reason for the selection is as follows;
The given region marked X belong to the NPN Transistor that has the following characteristics
The NPN transistor consist of a P-Type semiconductor sandwiched between two N-Type semiconductors
The charge carriers in a NPN transistor are negative electrons, while the charge carriers in a PNP transistor are holes
NPN transistor is the most commonly used type of BPT transistor due to the high mobility of electrons compared to holes
Electrons are passed from the emitter to the collector in an NPN transistor
Therefore, the statement that belongs only of the region marked X is that the main charge carriers are negative electrons
Learn more about semiconductors here;
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An asteroid is on a collision course with Earth. An astronaut lands on the rock to bury explosive charges that will blow the asteroid apart. Most of the small fragments will miss the Earth, and those that fall into the atmosphere will produce only a beautiful meteor shower. The astronaut finds that the density of the spherical asteroid is equal to the average density of the Earth. To ensure its pulverization, she incorporates into the explosives the rocket fuel and oxidizer intended for her return journey. What maximum radius can the asteroid have for her to be able to leave it entirely simply by jumping straight up
Answer:
The maximum radius the asteroid can have for her to be able to leave it entirely simply by jumping straight up is approximately 1782.45 meters
Explanation:
Whereby the height the astronaut can jump on Earth = 0.500 m, we have the following kinematic equation;
v² = u² - 2·g·h
Where;
v = The final velocity
u = The initial velocity
g = The acceleration due to gravity ≈ 9.8 m/s²
h = The height she jumps
At the maximum height, [tex]h_{max}[/tex] = 0.500 m, she jumps, v = 0, therefore, we have;
0² = u² - 2·g·[tex]h_{max}[/tex]
u² = 2 × 9.8 × 0.5 = 9.8
u = √9.8 ≈ 3.13
u = 3.13 m/s
Her initial jumping velocity ≈ 3.13 m/s
Escape velocity, [tex]v_e = \sqrt{\dfrac{2 \cdot G \cdot M}{r} }[/tex]
Where;
M = The mass of the asteroid
G = The Universal gravitational constant = 6.67408 × 10⁻¹¹ m³/(kg·s²)
r = The radius of the asteroid
The average density of the Earth = 5515 kg/m³
The mass of the asteroid, M = Density × Volume = 5515 kg/m³× 4/3 × π × r³
The escape velocity, she has, [tex]v_e[/tex] ≈ 3.13 m/s is therefore;
[tex]3.13 = \sqrt{\dfrac{2 \times 6.67408 \times 10^{-11} \times 5515 \times \frac{4}{3} \times \pi \times r^3}{r} } = r \times \sqrt{3.084 \times 10^{-6}}[/tex]
[tex]r = \dfrac{3.13}{ \sqrt{3.084 \times 10^{-6}}} \approx 1782.45[/tex]
Therefore, the maximum radius of the asteroid can have for her jumping velocity to be equal to the escape velocity for her to be able to leave it entirely simply by jumping straight up = r ≈ 1782.45 meters.
a 3.5kg child is swinging on a rope. the length of the rope attached to a tree branch is 7.00m. ths child passes through the lowest point of the curved path with a speed of 3.00m/s. what is the tension on the rope at this moment
The child's radial/centripetal acceleration at the lowest point of the swing is
a = (3.00 m/s)² / (7.00 m) = 1.29 m/s²
By Newton's second law, the tension in the rope is
T = (3.5 kg) (1.29 m/s²) = 4.5 N
(Does the question really say the child's mass is 3.5 kg? That's little more than the average mass of a newborn, about 3.3 kg. Not exactly a good idea to put a newborn on a swinging rope...)
IMPORTANT!!! DUE IN 5 MINS I NEED HELP PLEASE
the mars exploration rover (MERA) landed Mars in 2004 to explore and take pictures and samples of the rocks and soil. if MERA has a mass of 185 kg and the acceleration due to gravity on Mars is 3.7 m/s2, what is the weight of MERA on Earth and Mars?
Answer:
684.5 is the weight on mars and 1813 on earth
Explanation:
185*3.7=684.5 185*9.8=1813 you multiply for earth by 9.8 because that's the gravity on earth and you multiply by 3.7 because that's the gravity on mars
684.5 is the weight on mars and 1813 on earth
The calculation is as follows;
Weight on mars:
[tex]= 185 \times 3.7[/tex]
= 684.50
And, weight on earth is
[tex]= 185\times 9.8[/tex]
=1813
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Is the substance an atom or a molecule?
Answer:
A pair of oxygen atoms is a molecule of oxygen. A molecule is the smallest particle of a substance that exists independently. Molecules of most elements are made up of only one of atom of that element. Oxygen, along with nitrogen, hydrogen, and chlorine are made up of two atoms.
Explanation:
2) A car going down the road has a velocity of 20 m/s. If the car continues at this
rate for 7 seconds how far did the car go?
Answer: 140
Explanation: just multiply 7 x 20
Select the correct answer.
Rebecca would like to get started on a Mediterranean diet for optimal health. Which changes would you recommend?
A.
Avoid meats, poultry, and fish, and eat more fruits, vegetables, and whole grains.
B.
Choose meat and poultry for most meals, and limit fat.
C.
Consume fish and olives and avoid red meat.
D.
Eat a wide variety of fruits, vegetables, and beans, and avoid any alcohol.
Why do you think the greater wax moth developed the ability to hear frequencies up to 300kHz?
Please be kind enough to help me thank you!!!!
Answer:
The greater wax moth developed the ability to hear frequencies up to 300kHz to trick bats, their chief predators.
Explanation:
Dogs commonly listen to frequencies of about 30 kHz. But nothing matches the moths 300-kHz maximum. Since there aren't any noises in an environment that get close, scientists hypothesize that greater wax moths developed super sensitive hearings to trick bats, their chief predators. it can hear wavelengths up to 300 kHz, well exceeding the range of any other creature and higher than any bat can sound.
A student read his right ear against his desk while Teacher talks loudly on the desk and can hear the tapping sound only through his right ear when he lifts his head away from the desk he hears nothing what is the medium of the sound waves the student heres
Answer:
The student hears the wave that is transmitted by the desk
Explanation:
Mechanical waves need a material medium to be able to be transmitted, in the case of sound waves, one of the most common media is air, but it is also transmitted in other media in this case, stationery is transmitted.
The student hears the wave that is transmitted by the desk
The speed of the wave is proportional to the density of the material, so the wave that the student hears arrives much faster through the desk than through the air
An object has a mass of 300 g. (a) What is its weight on Earth? (b) What is its mass on the Moon?
(C) What will be its acceleration on the Moon when a 0.500 N resultant force acts on it?
Answer:
The mass of object is 300g.
Its weight on earth is W×0.3kg×9.8m/s2=2.94 N
Its weight on moon is A 300 g would be 48 g on the moon
GOOD LUCK!
if anyone can answer it'd be very appreciated, i need to pass this class
Answer: 0.4
Explanation:
Answer:
b. 0.4
Explanation:
Benny wonders why when he presses his finger against a map nothing happens to the map. However if he presses a thumbtack into the map using the same force the tack will probably poke a hole in the map.
Answer: The pressure exerted on a surface by an object increases as the surface area of contact decreases.
Explanation:
Pressure measures the amount of force exerted per a given area of an object. From this definition, the surface area of the object and force applied, affects the pressure applied.
As Benny presses his finger against a map, nothing happens to the map because the force applied is affected by the increased surface area of his finger. However as he presses a thumbtack into the map using the same force the tack will probably poke a hole in the map because the small( decreased) surface area of the sharp point of the thumbtack produces a much larger pressure on the map than the area of Benny finger. I hope this helps, thanks!
The items on the right side of the equation are called the a. Coefficient c. Reactants b. Subscript d. Products
Answer:
products
Explanation: