A small satellite of unknown mass m is in a circu- lar orbit around a spherical body of unknown (but much larger) mass M. The time of the satellite’s orbit is 6.00 × 10 3 seconds at a distance of 2.00 × 103 m from the body’s center. (a) Find the satellite’s speed and (b) centripetal acceleration. (c) Apply M Newton’s 2nd Law to give an expression which relates the satel- lite’s acceleration to the body’s mass M. (d) Now determine the body’s mass M. The satellite’s mass m cannot be determined from these measurements alone.
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.
A small satellite of unknown mass m is in a circu-
lar orbit around a spherical body of unknown (but much larger) mass M. The time of the satellite’s orbit is 6.00 × 10 3 seconds at a distance of 2.00 × 103 m from the body’s center. (a) Find
the satellite’s speed and (b) centripetal acceleration. (c) Apply M Newton’s 2nd Law to give an expression which relates the satel-
lite’s acceleration to the body’s mass M. (d) Now determine the body’s mass M. The satellite’s mass m cannot be determined from these measurements alone.
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