A. In Jules Verne's 1865 story, 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=6.38x106 m and mE-5.98 x1024 kg.

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A. In Jules Verne's 1865 story, sunk in the Earth in Florida.
(a) Find the minimum muzzie 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=6.38x106 m and mE-5.98 x1024 kg.
Transcribed Image Text:A. In Jules Verne's 1865 story, sunk in the Earth in Florida. (a) Find the minimum muzzie 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=6.38x106 m and mE-5.98 x1024 kg.
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