Solution: Conservation of energy: PE + KE+Wnc = PE + KE GMm RE + ||mv² +0 = GMm - +0 RE+h Cancel m's and clean up: v² = (2GM) 2 1 - 1 (2GM) (R/R+h) RE Gravitational Energy Conservation A "super cannon" launches a ball vertically from Earth's surface with a speed of v. Ignore air resistance and the Earth's spin. At its highest point, the ball is a height of h above the surface of the Earth. Earth's mass is 5.97 x 1024 kg. Earth's radius is 6.37 × 106 m. 7 ย m S 8 Type your answer... v 6,002™ S Type your answer... h 1.89×106m h x10m -
Solution: Conservation of energy: PE + KE+Wnc = PE + KE GMm RE + ||mv² +0 = GMm - +0 RE+h Cancel m's and clean up: v² = (2GM) 2 1 - 1 (2GM) (R/R+h) RE Gravitational Energy Conservation A "super cannon" launches a ball vertically from Earth's surface with a speed of v. Ignore air resistance and the Earth's spin. At its highest point, the ball is a height of h above the surface of the Earth. Earth's mass is 5.97 x 1024 kg. Earth's radius is 6.37 × 106 m. 7 ย m S 8 Type your answer... v 6,002™ S Type your answer... h 1.89×106m h x10m -
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 11WUE: What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and...
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