[Q6] Three satellites orbit a planet of radius R, as shown in the figure. Satellites Si and S3 have mass m. Satellite S2 has mass 2 m. Satellite S1 orbits in 280 minutes and the force on S1 is 10,000 N. What is the poriod of S2? What is dhe pertou of 33? What is the force on Sz? What is the force on S3? What is the kinetic-energy ratio Kj/ K3 for Si and S3? [®] m 2R R 3R 2m
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.
- Force on the planet is the centripetal force acting on the planets rotating in the orbit.
Centripetal force is given by
Where is the mass of planet
is the velocity of planet
is the radius of planet
- Kinetic energy contained by the moving planet is written as
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