Jupiter's satellite Europa has oceans under its ice and may even host life. It orbits the planet on a nearly circular path with a radius of 670,900 km and completes its orbit every 3.55 Earth days. Use Newton's universal law of gravitation to find the mass of Jupiter. Given data: R = 670900 km = 670900000 m T = 3.55 days = 3.55 x 24 x 60 x 60s M = 4x(3.14)^2/6.67x10^-11x(3.55x24x60x60s) x 670,900,000^3 = 1.89 x 10^27kg, so therefore this is the mass of Jupiter Knowing Jupiter's mass from this calculation, and its radius of 71,492 km across its equator, what is its angular momentum given that it rotates once on its axis in 9.925 hours? Jupiter is oblate, and its polar radius is smaller at 66,854 km, but for this assume it is a sphere.
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
Jupiter's satellite Europa has oceans under its ice and may even host life. It orbits the planet on a nearly circular path with a radius of 670,900 km and completes its orbit every 3.55 Earth days. Use Newton's universal law of gravitation to find the mass of Jupiter.
Given data:
R = 670900 km = 670900000 m
T = 3.55 days = 3.55 x 24 x 60 x 60s
M = 4x(3.14)^2/6.67x10^-11x(3.55x24x60x60s) x 670,900,000^3
= 1.89 x 10^27kg, so therefore this is the mass of Jupiter
Knowing Jupiter's mass from this calculation, and its radius of 71,492 km across its equator, what is its
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