Newton’s law of universal gravitation tells us that the force exerted by one particle on another is F = Gm1m2 r2 , where the universal gravitational constant G is found experimentally to be G = 6.673 ×10−11 N m2/kg2. The mass of each particle is m1 and m2, respectively, and r is the distance between the two particles. Assume that the mass of the earth is approximately 6 ×1024 kg, and the mass of the moon is approximately 7.4 ×1022 kg. We know that the earth and the moon are not always the same distance apart. Use Newton’s law of universal gravitation to find the force exerted by the moon on the earth for ten distances between 3.8 ×108 m and 4.0 ×108 m.
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.
Newton’s law of universal gravitation tells us that the force exerted by one
particle on another is
F = Gm1m2
r2 ,
where the universal gravitational constant G is found experimentally to be
G = 6.673 ×10−11 N m2/kg2.
The mass of each particle is m1 and m2, respectively, and r is the distance
between the two particles. Assume that the mass of the earth is approximately
6 ×1024 kg, and the mass of the moon is approximately 7.4 ×1022 kg. We know
that the earth and the moon are not always the same distance apart. Use
Newton’s law of universal gravitation to find the force exerted by the moon on
the earth for ten distances between 3.8 ×108 m and 4.0 ×108 m.
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