In Jules Verne’s 1865 story with this title, three men went to the moonin a shell fired from a giant cannon sunk in the earth in Florida.(a) Find the minimum muzzle speed needed to shoot a shell straightup to a height above the earth equal to the earth’s radius RE. (b) Findthe minimum muzzle speed that would allow a shell to escape from theearth completely (the escape speed). Neglect air resistance, the earth’srotation, and the gravitational pull of the moon. The earth’s radius andmass are RE = 6.37 * 10^6 m and mE = 5.97 * 10^24 kg.
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.
In Jules Verne’s 1865 story with this title, three men went to the moon
in a shell fired from a giant cannon sunk in the earth in Florida.
(a) Find the minimum muzzle speed needed to shoot a shell straight
up to a height above the earth equal to the earth’s radius RE. (b) Find
the minimum muzzle speed that would allow a shell to escape from the
earth completely (the escape speed). Neglect air resistance, the earth’s
rotation, and the gravitational pull of the moon. The earth’s radius and
mass are RE = 6.37 * 10^6 m and mE = 5.97 * 10^24 kg.
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