a) The astronaut goes to a maximum height of 5.5 feet.
b) The astronaut is off the ground for about 4.4 seconds
Describe the equations of motions?
In physics, the term "equations of motion" designates a set of equations that can be used to explain how a physical system acts with respect to how it moves through time.The link between variables like velocity, location, and acceleration that are observed at various points in time is thus the definition of the equation of motion.The three equations of motion are the laws that govern how an object moves in one, two, and three dimensions.When the body is travelling straight ahead with a constant angular velocity, these equations are utilized.The three equations look like this:
The first motion equation is v = u + at
The second equation of motion is s = ut + at^2 /2
The third equation of motion is v^2 = u^2 + 2as
Using Second equation of motion:
s(t) = v₀t + 1/2 at²
= 11t + (1/2)(-5) t²
= 11 t - 5/2 t².
On differentiating the above equation with respect to time, we have
s’(t) = 11 - 5t
Then equating the equation to 0, we find
s’(t) = 0
11 - 5t = 0
5t = 11
t = 11/5
The astronaut reaches the maximum height at time t = 11/5 = 2.2 seconds.
Therefore, the maximum height achieved by the astronaut is
s = 8(11/5) - (5/2)(11/5)²
= 88/5 - (5/2)(121/25)
= 88/5 - 60.5/5
= 27.5/5
= 5.5 feet.
The astronaut touches the ground at time t > 0 such that
s(t) = 0
11t - 5/2 t² = 0.
5/2 t² - 11t = 0
5t² - 22t = 0
t(5t - 22) = 0
t = 0 or 5t - 22 = 0
5t = 22
t = 22/5
= 4.4 seconds
Hence,
a) the astronaut goes to a maximum height of 5.5 feet.
b) the astronaut is off the ground for about 4.4 seconds
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as a wave moves into shallow water, it will interact with the seafloor and slow down. this creates an apparent bend in the wave known as
The bend in the wave that formed when a wave moves into the shallower water so it will interact with the seafloor and slowing down is called wave refraction.
What is refraction?Refraction is the bending of a wave-front because it voyages at distinctive speeds over water of distinctive profundities. When distinctive parts of the same wave-front travel at diverse speeds, the wave twists towards the slower portion. The shallower the water, the slower the wave; hence the wave twists towards the shallower water.
Refraction can also be interpreted as the change of direction that a light beam encounters when passing from a straightforward medium (water, glass, discuss) to another where the speed of engendering of the wave is diverse.
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the total number of x-rays emitted from an x-ray tube could be determined by adding together the number of x-rays emitted at each energy over the entire spectrum, a process called integration.
The statement above is true. Integration is the total number of x-rays emitted from its tube, which is determined by adding together the number of x-rays emitted at each energy over the entire spectrum.
An X-ray is a penetrating form of electromagnetic radiation. It is usually used in the medical world to produce pictures of the body's internal structures. An X-ray tube is a tube that converts electrical input power into X-rays.
In the x-ray machine, the x-ray tube emits x-rays that would be used for certain purposes. To count how many x-rays got emitted by the x-ray tube, one can add all the numbers of emitted x-rays at each energy over the entire spectrum.
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Question 2 of 10
A scientist measures the growth of a bamboo plant over time. The table
below shows the results.
Time (hours)
A. 2.40 cm
B. 2.25 cm
10
OC. 2.10 cm
D. 2.55 cm
20
30
40
50
60
Height (cm)
1.2
1.5
1.8
What is the best inference for the height of the plant after 45 hours?
2.1
2.4
2.8?help
After 45 hours, the plant's height is 2.25 cm.
Given:The bamboo plant is 2.1 cm tall after 40 hours.
The bamboo plant has grown to a height of 2.4 cm after 50 hours.
Bamboo plant height after 45 hours =?
40 and 50 hours are separated by 2.4 to 2.1 cm.
= 0.3 cm
50 divided by 40 equals 45.
The height will therefore increase by 0.3/2 = 0.15 cm after 45 hours.
Height at 45 hours is equal to 2.25cm (2.1 + 0.15cm).
As a result, the plant is 2.25 cm tall after 45 hours.
How much bamboo grows each hour?1.5 in. per hour
Some bamboo species have been known to grow up to 2.91 feet every day, or 1.5 inches per hour, according to Guinness World Records! .
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what linear speed must a 0.0494-kg hula hoop have if its total kinetic energy is to be 0.111 j? assume the hoop rolls on the ground without slipping.
If the total kinetic energy of the hoop is to be 0.111 J, then the hoop's linear speed must be 1.24 m/s.
What is kinetic energy ?
kinetic energy is a form of energy that an particle has by reason of it's motion. If we want to accelerate an object then we must apply a force. The average kinetic energy of all the molecule assumed to be directly proportional to the absolute tempreture of the gas.
The Kelvin tempreture of a substance is directly proportional to the average kinetic energy of the particles of the substance.
This is the reason why measure of the average kinetic energy of the molecule of a material called tempreture.
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A- In the mobile in (Figure 1) , what is the inertia of the giraffe Mgir in terms of the inertia Mm of the monkey?
(Mg/Mm)
B- In the mobile in (Figure 1) , what is the inertia of the elephant Mel in terms of the inertia Mm of the monkey?(Me/Mm)
The inertia of the elephant Mel in terms of the inertia Mm of the monkey is 2Mm
the moment = 0
from monkey & giraffe
Mm*3d = Mg*d
Mg = 3*Mm
-------------------
for Me & Mg
(Mg + Mm)*2d = Me*4d
(3Mm+Mm)*2d = Me*4d
4*Mm*2 = 4*Me
Me = 2Mm
Until some force changes the speed or direction of an object, it will continue to move in the same direction. This is known as inertia. The phrase is correctly understood as a shortened form of "the principle of inertia," which is a concept that Newton discussed in his first law of motion. Unless influenced by an unbalanced force, an object at rest stays at rest, and an object in motion stays in motion while maintaining a constant speed and a straight line. An object at rest has a tendency to stay at rest, and an object in motion has a tendency to continue moving in a straight line at a constant speed.
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What happens when the vector dna is digested with ecori? what does this tell you about the number and distribution of ecori sites in the vector?.
A vector is a DNA can be defined as a molecule which is used as a vehicle to artificially carry foreign genetic material into another cell, where it can be replicated and/or expressed.
What does this tell you about the number and distribution of ecori sites in the vector?
When a vector DNA is digested with restriction endonuclease such as EcoRI, the DNA molecule is cleaved at unique sites. EcoRI recognizes the six-base-pair sequence GAATTC in the vector DNA. On the number of sites this sequence is present in the vector, the DNA molecule is cleaved at those site. For example if this sequence is present at five sites in a vector DNA, then endonuclease EcoRI will digest the DNA molecule into six fragments ranging from 3.6 to 21.2 kilobases long.
This is how we can tell about the number and distribution of ecori sites in the vector.
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monochromatic light is incident on a metal surface, and electrons are ejected. if the intensity of the light increases, what will happen to the maximum energy of the electrons?
Electrons are expelled from a metal surface when monochromatic light strikes it. The ejection rate would drop as the light intensity rises. The rate of ejection will rise.
Describe monochromatic light.Single-wavelength monochromatic lights have the prefix mono for one and the suffix chroma for color. Monochromatic light is defined as visible light with a constrained range of wavelengths. It has a wavelength that is contained in a small wavelength range.
Do white and gray have a single color?Since all black and white or grayscale images are composed of different tones of the same color—black—they are all monochrome. However, not all monochromatic images are grayscale since they can be created in any color. Even though an image is entirely composed of yellow tones, it is still regarded as monochromatic.
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Describe how the capacitance of a parallel plate capacitor changes with the geometry of the capacitor.
A parallel capacitor's geometrical characteristics determine its capacitance. the separation of the plates. The capacitance reduces as the distance between the plates grows.
What are capacitance and its measure?Farad, denoted by the letter F, is the SI unit for electrical capacitance. In large part, the unit bears the name of English physicist Micheal Faraday. The capacity of a body or thing to hold an electrical charge is often referred to as farad. The SI base units used to describe it are s4A2m-2kg-1.
Exactly why are the capacitance used?They are effective at lessening voltage pulsation. The capacitor is charged in a parallel circuit when a positive voltage is applied, and it discharges when a low voltage is applied. While most electronic circuits use DC, the electricity that comes out is AC.
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How many total atoms are in 1.0 moles of H20
Answer:3 atoms
Explanation:
each molecule of water contains 2 H and 1 O atom = 3 atoms, so there are approximately 1.8 x 10^24 atoms in a mole of water.
The number of atoms that exists in one mole of water (H₂O) is 1.8 x 10²⁴.
What is an atom?The atom is the smallest unit of matter that may be broken into smaller pieces without generating electrically charged particles. Furthermore, it is the tiniest substance with properties like chemical elements. Consequently, the atom is the fundamental unit of chemistry.
Vacuum space constitutes the majority of an atom. The remaining component consists of a positively charged nucleus consisting of protons and neutrons around a negatively charged electron cloud.
Given:
The mole of water, [tex]m = 1 mole[/tex]
One mole of water contains 6.02 x 10²³ molecules of water.
But each molecule of water has 2 Hydrogen and 1 Oxygen atom.
In H₂O, there are 2 + 1 = 3 atoms.
Thus, there are 3 x 6.02 x 10²³ atoms in 1 mole of water, which is equal to 1.8 x 10²⁴ atoms.
Therefore, the number of atoms present in one mole of H₂O is 1.8 x 10²⁴.
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what relates the torque on a playground merry-go-round to the resulting angular acceleration?
The rotational inertia of a merry-go-round connects the torque produced by one to the angular acceleration that results.
What does rotational inertia refer to?Any item with the ability to rotate possesses rotational inertia. It is a scalar value that indicates how challenging it is to alter the object's rotational speed around a specific rotational axis. Similar to the role that mass plays in linear mechanics, rotational inertia plays in rotational mechanics.
What is a good illustration of rotational inertia?Rotational inertia, also referred to as the inertia moment is the resistance of an item to a change in rotation. Rotational inertia can be felt and seen in many commonplace situations, such as when using a heavy baseball bat or pushing a large group of people on the a merry-go-round.
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When light enters water from air perpendicularly (i.e. along the normal), which of the following happen (may be more than one)
It bends away from the normal
It's speed gets smaller
Its wavelength increases
Its frequency decreases
Its wavelength decreases
Its frequency increases
Its speed increases
Its speed gets smaller and its wavelength decreases.
As light travels from one medium to another, its wavelength drops, and as a result, its speed also reduces (although the frequency is unaffected). The ratio of the speed of light in a vacuum to that in a second medium with a higher density is the refractive index. It is also known as the index of refraction. In mathematics and descriptive writing, the letter n or n' is most frequently used to represent the refractive index variable. The degree to which a light beam is deflected (or refracted) when it enters or exits a substance varies with its refractive index. The frequency of light travelling through a material affects its refractive index. The highest frequencies have highest values of n. For instance, the refractive index of violet light is roughly 1% higher than that of red light in common glass.
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difference between primary and secondary cell
Answer:
Primary cell:
Primary cells are the ones that cannot be charged.In primary cells irreversible reactions occur.Can be used only once.Primary cells have Low life span.These are light in weightSecondary cell:
Secondary cells are the ones that are rechargeable.In secondary cells reversible reactions occur.Can be used more than once. Secondary cells have High life span.These are heavy in weight.Please help its finals! I’ll give BRAINLIEST
Answer:
Before the rubber ball moves, it's stationary. Therefore the energy is Potential. As it rolls, the energy is transferred equally between the ball itself and the ramp, making the energy transferred Kinetic Energy.
Explanation:
California loveeeeeeee?
Which of the following changes would result in a clockwise emf in the loop? When you consider each option, assume that no other changes occur.
Check all that apply.
a) The magnitude of B increases.
b) The magnitude of B decreases.
c) The loop rotates through 45 degrees about the vertical axis (vertical dotted line) shown in the diagram.
d) The loop rotates through 45 degrees about the horizontal axis (horizontal dotted line) shown in the diagram.
e) The loop moves to the right while remaining in the plane of the page.
f) The loop moves toward you, out of the page, while remaining parallel to itself.
The conditions which would result in clockwise emf in loop are
a) The magnitude of B increases
c)The loop Rotates through 45 degrees about vertical axis
This all happens according to the right-hand thumb rule of electromagnetics. The EMF (Electro Motive Force) changes according to the movement of Loop as it is dependent on the motion which further connects to the right hand thumb rule as shown in the figure attached.
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A car of mass 1000 kg travelling at 8.0 m / s collides with a lorry of mass 3000 kg that is travelling at 2.0 m / s in the same direction. After colliding, the two vehicles stick together. What is their speed after the collision? A 2.0 m / s B 2.5 m / s C 3.5 m / s D 5.0 m / s
3.5 m / s is their speed after the collision.
Mass of a car = 1000 kg,
Velocity car = 8 m/s,
Mass lorry = 3000 kg,
Velocity lorry = 2 m/s.
u = initial velocity,
v = final velocity.
m₁ = 1000 kg, m₂ = 3000 kg, u₁ = 8 m/s, u₂ = 2 m/s
(1000)(8) + (3000)(2) = (1000 + 3000)·v
8000 + 6000 = 4000·v
4000·v = 14000
v = 3.5 m/s
velocity (often abbreviated as "s") is a scalar variable that describes how lots an item's vicinity modifications over time or how plenty it modifications in step with unit of time.
The average speed of an item in a period of time is the distance traveled with the aid of the object divided by way of the length of the length.
Time divided with the aid of distance are the rate-associated metrics.. The meter in keeping with second (m/s) is the SI unit of pace, while the kilometer consistent with hour (kph) is the most usually used unit of speed in each day existence.
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What is located at the center of our galaxy & how far is the earth from this location?.
A super giant black hole is located at the center of our galaxy and the earth is located around 2,000 light years from this point.
Our galaxy is called milky way galaxy including solar system, planets and giant balls of gases.
When observed from earth it looks like hazy spectrum of light emitted by the billions of stars present in the galaxy.
However, at the center of our galaxy, there is a giant super giant black hole which is just 2,000 light years away from the earth.
New scientific evidence shows that the black hole sits around 25,800 light-years from the planet earth.
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Please, help me. I need help fast!!!!!!!! Please answer my question!
If another object (a can of beans) was dropped from 12 meters in free fall, how long will it take for that object to fall to the ground?
Thank you so much for reading and answering my question!
The object falls to the ground after 1.56 second.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Height from where the object fall; h = 12 meters.
Let initial velocity is zero.
And we know that,
acceleration due to gravity is 9.8 m/s².
So, h = 1/2 gt²
⇒ t = √(2h/g) = √(2×12/9.8) second = 1.56 seconds.
Hence, it take 1.56 second for that object to fall to the ground.
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here is the center of mass of the earth-moon system? the radius of the earth is 6378 kmkm and the radius of the moon is 1737 kmkm . select one of the answers below: choose the correct description of the location of the center of mass of the earth-moon system.
r_{cm} = 4.67 10⁶ m. We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth.
The definition of the center of mass is
rcm= 1 / M ∑ rimi
where mi represents each body's location and M represents its total mass
We must choose a reference system for the calculation, and we will do it with the Earth's centre as its origin. The information we have is
Mass of the Earth Me = 5.98 1024 kg
Moon mass m = 7.36 1022 kg
Earth to Moon Distance r = 3.84 108 m
Let's apply this to our case
r_{cm} = 1 / (Me + m) (Me 0 + m R)
r_{cm} = 1 / (598 +7.36) 10²² (0 + 7.36 10²² 3.84 10⁸)
r_{cm} = 4.67 10⁶ m
We can see that this distance is less than the radius of the Earth
We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth.
The unique point at the centre of a spatial distribution of mass is known as the centre of mass, and it has the property that the sum of the weighted position vectors around it is zero. The centre of mass is the average location of a distribution of mass in space, to use an analogy from statistics.
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the rings of neptune: the rings of neptune: all lie within neptune's roche limit. often appear as clumpy ring arcs, rather than complete and symmetrical. number five, with three narrow, two more diffuse. were confirmed by the voyager 2 in 1989. all of these are correct.
All the statements in the question about the rings of Neptune above are correct.
Neptune is the eighth planet in our Solar System. It has a planetary ring system that may consist of ice particles coated with silicates. The first was detected by a team led by Edward Guinan in 1968, with the following hypothesizes solved by Voyager 2's images in 1989.
There are three main rings in Neptune's planetary ring system:
Adams ring, 63000 km from Neptune's center.Le Verrier ring, 53000 km from Neptune's center.Galle ring, 42000 km from Neptune's center.The picture attached is a combined color and near-infrared image of Nepture created by NASA and ESA.
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A ball is held at rest at the top of a hill. The ball is then released and starts rolling down the hill. At the bottom, it reaches level ground and keeps rolling along the ground. Consider the level ground at the bottom of the hill as zero height.
The correct answer is the movement of the ball because of conversation into kinetic energy.
Why here potential energy is changed to Kinetic energy?
The ball's stored potential energy becomes kinetic energy as it begins to move and rolls down the slope. The movement of the objects is caused by this kinetic energy.
Due to its height above the ground, the ball has gravitational potential energy when it is at the top of a hill.
Due to its velocity as it rolls down the hill, the potential energy is changed into kinetic energy.
Hence due to the ball's collision with the wall, it abruptly stops, converting its kinetic energy into internal energy.
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A tandem bike is a bike designed for two riders. Rider 1 is pushing on the pedals with a force of 30 N and Rider 2 is pushing on the pedals with a force of 20 N. The total mass of both riders and the tandem bike is 150.0 kg. What is the approximate acceleration of the riders on the bike?
The approximate acceleration of the riders on the bike is 3 m/sec².
What is acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.
Given total force applied = 30 + 20 = 50 N
Mass of two riders = 150 Kg
So, the acceleration = 150 /50 = 3 m/sec².
The approximate acceleration of the riders on the bike is 3 m/sec².
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Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?.
Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. The other quantities they should measure in each trial of the experiment will be mass and acceleration
As we know that Force depend upon mass as well as acceleration , hence it is important to take measurements of mass and acceleration . Since ,
according to newton's third law
F = ma
where
m = mass
a = acceleration
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which of the following statements correctly describe the principal quantum number, n? select all that apply
-n can have any positive whole number number
-the value of n determines the shape of an orbital
-the value of n are restricted by the value of l
-the higher the value of n, the lower the energy value
-the lower the value of n, the greater the probability that the electron is closer to the nucleus
n can have any positive whole number, the lower the value of n, the greater the probability that the electron is closer to the nucleus.
Atomic nuclei include electrically superb protons and electrically neutral neutrons. those are held together with the aid of the strongest regarded fundamental pressure, called the robust force. The nucleus makes up lots much less than. 01% of the volume of the atom, but commonly contains more than 99.9% of the mass of the atom.
A nucleus is a group of debris referred to as protons, which are undoubtedly charged, and neutrons, which can be electrically neutral. Protons and neutrons are in flip made from particles referred to as quarks.
The nucleus controls and regulates the sports of the cellular (e.g., growth and metabolism) and consists of the genes, and systems that comprise the hereditary facts. Nucleoli are small in our bodies and are regularly seen inside the nucleus. The gel-like matrix wherein the nuclear components are suspended is the nucleoplasm.
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The international space station has a mass of 1. 8 × 105 kg. A 70. 0-kg astronaut inside the station pushes off one wall of the station so she accelerates at 1. 50 m/s2. What is the magnitude of the acceleration of the space station as the astronaut is pushing off the wall? give your answer relative to an observer who is space walking and therefore does not accelerate with the space station due to the push.
What is the magnitude of the acceleration of the space station as the astronaut is pushing off the wall?
Question Parameter(s):
The International Space Station has a mass of 1.8 × 105 kg. A 70.0-kg.
The station pushes off one wall of the station so she accelerates at 1.50 m/s2.
Generally, the equation for the Force is mathematically given as
F = ma
Therefore
F = 70(1.50)
F= 105 N
In conclusion, the space station force
F = ma
105 = 1.8 * 10^5 a
a = 5.83 * 10^{-4} m/s^2
A person driving west along a straight road at a speed for 23 m/s sees a deer on the road ahead. They apply the brakes when they are 210 m from the deer. If the deer does not move, and the car stops right before it hits the deer, what is the acceleration provided by the car's brakes?
The acceleration of the car is -1.26 m/s.
What is acceleration?The acceleration is described as the rate of change of the velocity of an object with respect to time. Accelerations are known as vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.
From question we have
u = 23, v = 0 , distance = 210
Using v² = u² - 2as
0² = 23²- 2 * a* 210
a = u²/ 2 * 210
a = 1.26m/s²
In conclusion, we used newtons third law of motion to get the value for the acceleration.
Where:
V represents the final speed.
U is the initial speed.
a represents the acceleration.
S is the distance covered.
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. A train is approaching a station at a velocity of 40 m/s. The train brakes and
within 10 seconds comes to a stop. What is the train's acceleration?
Answer:
-4
Explanation:
formula for acceleration is
[tex] a = \frac{vf - vi}{t} [/tex]
vf as in final velocity
vi as in initial velocity
t as in time
the initial velocity is 0 m/s and the final velocity is 0 m/s because the train comes to a stop. the time is 10 s.
the answer is negative because the train is slowing down
An astronaut is traveling in a spacecraft in outer space in a straight line at a constant speed of 0.500c. Which of the following effects would she experience?
A.Her heart rate would change.
B.Some of the dimensions of her spacecraft would be shorter.
C.None of those answers is correct.
D.She would find it harder to breathe.
E.She would feel heavier.
If an astronaut is traveling in a spacecraft in outer space in a straight line at a constant speed of 0.500 c, she would feel heavier.
According to relativity, the faster one moves, the more mass they have. If one travels at speed of light, their mass becomes infinite and would have to slow down.
M = Mo / √ [ 1 - ( c² / v² ) ]
M = Mass of body at a given speed
Mo = Mass of body at rest
c = Speed of light
v = Speed of body
Here, v = 0.5 c
M = Mo / √ [ 1 - ( c² / ( 0.5 c )² ) ]
M = Mo / √ - 0.75 / 0.25
M = Mo / √ - 3
M > Mo
Therefore, f an astronaut is traveling in a spacecraft in outer space in a straight line at a constant speed of 0.500c, she would feel heavier.
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A chunk of ice breaks off a glacier and falls 30. 0 meters before it hits the water. Assuming it falls freely (there is no air resistance), how long does it take to hit the water?.
The ice chunk that breaks off a glacier and falls 30. 0 meters will take around 2.47 seconds to hit the water.
State the equations of motions?
The fundamentals of an object's motion, such as its position, velocity, or acceleration at different periods, are described by kinematics equations of motion or Newton’s equations of motions. An object's motion in 1D, 2D, and 3D is controlled by these three equations of motion.First law of equation: v = u + at
Second law of motion: s = ut + / at2
Third law of motion: is v^2=u^2 + 2as
The informations given in the question are
The height from where chunk fell = h = 30.0 m
The initial velocity of the ice chunk that broke off the glacier = u = 0 m/s
Let us assume that the time taken to cover 30.0 m of height is t
Considering the acceleration due to gravity = g =9.8 seconds
With the help of second equation of motion, we find
=> h = ut + 1/2 gt²
=> 30 = 0 + 1/2 × 9.8 × t²
=> t² = 30 x 2/9.8
= 6.122
=> t = 2.47 second
Hence, The ice chunk that breaks off a glacier and falls 30. 0 meters will take around 2.47 seconds to hit the water.
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A mass m is at a height h above the surface of a planet of mass M and radius R.
The gravitational field strength at height h is g. By considering the gravitational force acting on mass m, derive an equation from Newtor's law of gravitation to express g in terms of M, R, h and the gravitational constant G.
Answer:
Explanation:
Given:
m - mass
h - height
M - mass of the planet
R - planet radius
G - Gravity constant
_________
g - ? Acceleration of free making
Newton's law of universal gravitation:
F = G·m·M / (R +h)
g = F / m
g = G·M / (R +h)