a planet has mass and radius half of earth. calculate the acceleration due to gravity on the surface of this planet.
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Depends on the temperature and rotational velocity.
Acceleration and the Interaction of Masses
Some basics;
We exist in a gravitational or an accelerating situation. With gravity you are pulled to the floor. With acceleration the floor pushes up on you. You can’t tell the difference. What follows here assumes an accelerating situation.
The movement of masses can be in any orientation. In space there is no up or down. On Earth we think in terms of up and down so we talk about objects falling.
Mutual Attraction is the desire for masses in some proximity to want to approach each other. Probably a basic force of nature.
Acceleration has a physical cause and governs the rate at which masses approach or how far apart the masses remain.
The line of action between two masses is always centroid of mass to centroid of mass. This gives rise to the so-called tidal effect.
Interaction of Masses
Masses act as electrically charged particles. Like charges repel. For charged particles the size of the particle is not as important as the amount of charge.
For masses the “charge” is the density of Mass-energy {Me for short}. May be Joules per cubic meter.
For Earth and other planets, the density of Me is the product of {{Mass x(Temp K}+{Mass x rotational velocity}}/volume. Some masses do not have any rotation velocity.
All measures are at the equator.
This is all in the mks system (no km).
For Earth in scientific notation:
Mass is 5.97E+24 kg, Temp is 290K,Mass x rotational velocity is 2.776050E+27, Mass x k + Mass x rotational velocity is 4.507350E+27, volume is 1.097510E+21, density of Me is 4.10689E+06.
Acceleration of Earth at the surface at the equator is density of Me x my constant of acceleration A which is 2.434933E-06=10m/sec/sec.
This constant A works for all solid planets and Earth moon. Some temperatures need tweaking , not much, from web values because of the temperature swings of the planets.
At my location 42.7deg and -72.3 deg a 100+ drop tests with electronic timing average 18.5m/sec/sec. In previous writing I have chalked this up to circular momentum. This is a bad flaw on my part. The Earth moon does not rotate and it does have acceleration.
Acceleration and the Interaction of Masses
Some basics;
We exist in a gravitational or an accelerating situation. With gravity you are pulled to the floor. With acceleration the floor pushes up on you. You can’t tell the difference. What follows here assumes an accelerating situation.
The movement of masses can be in any orientation. In space there is no up or down. On Earth we think in terms of up and down so we talk about objects falling.
Mutual Attraction is the desire for masses in some proximity to want to approach each other. Probably a basic force of nature.
Acceleration has a physical cause and governs the rate at which masses approach or how far apart the masses remain.
The line of action between two masses is always centroid of mass to centroid of mass. This gives rise to the so-called tidal effect.
Interaction of Masses
Masses act as electrically charged particles. Like charges repel. For charged particles the size of the particle is not as important as the amount of charge.
For masses the “charge” is the density of Mass-energy {Me for short}. May be Joules per cubic meter.
For Earth and other planets, the density of Me is the product of {{Mass x(Temp K}+{Mass x rotational velocity}}/volume. Some masses do not have any rotation velocity.
All measures are at the equator.
This is all in the mks system (no km).
For Earth in scientific notation:
Mass is 5.97E+24 kg, Temp is 290K,Mass x rotational velocity is 2.776050E+27, Mass x k + Mass x rotational velocity is 4.507350E+27, volume is 1.097510E+21, density of Me is 4.10689E+06.
Acceleration of Earth at the surface at the equator is density of Me x my constant of acceleration A which is 2.434933E-06=10m/sec/sec.
This constant A works for all solid planets and Earth moon. Some temperatures need tweaking , not much, from web values because of the temperature swings of the planets.
At my location 42.7deg and -72.3 deg a 100+ drop tests with electronic timing average 18.5m/sec/sec. In previous writing I have chalked this up to circular momentum. This is a bad flaw on my part. The Earth moon does not rotate and it does have acceleration.
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