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Questions Related to sunita's experience in space

Multiple choice evs - ii our earth and our solar system solar system and sun planets and stars introduction to solar system planets sunita's experience in space space exploration

Surface gravity of different planets in correct decreasing order is

  1. Neptune, Jupiter, Saturn, Earth

  2. Jupiter, Neptune, Earth, Saturn

  3. Jupiter, Neptune, Saturn, Earth

  4. Jupiter, Uranus, Neptune, Saturn

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Surface gravity of different planets has a unique surface gravity.
Newton's second law of motion: $F=ma$............(1)
Law of universal gravitation: $F _g=\dfrac{GM _1M _2}{R^2}$............(2)
The value of $G$ was originally determined experimentally by Henry Cavendish and has a value of $6.67\times10^{11} N m^3/kgs^{2}$
By using these two equations, one can derive another equation that shows the acceleration due to gravity at the surface of a planet, i.e., $g=\dfrac{GM}{R^2}$
Where $M$ is the mass of the planet and $R$ is its radius.
The surface gravity of the planets, as determined by the equation above and shown relative to Earth's gravity can be seen below:

Object:           g/g-earth:       Acceleration at the surface

Earth...............$1.0$...............$g = 9.78\ m/s^2$ ($32.1\ ft/s^2$)

Jupiter.............$2.36$...........$g = 23.1\ m/s^2$ ($75.9\ ft/s^2$)

Saturn.............$1.07$.............$g = 9.05\ m/s^2$($29.4\ ft/s^2$)

Uranus............$0.889$...........$g = 8.69\ m/s^2$($28.5\ ft/s^2$)

Neptune..........$1.12$.............$g = 11.0\ m/s^2$($36.0\ ft/s^2$)

So, surface gravity of different planets in correct decreasing order is Jupiter, Neptune, Saturn, Earth.