Item 9Part AFind the minimum kinetic energy needed for a 4.6×104-kg rocket to escape the Moon.Express your answer in joules.► View Available Hint(s)Kmin =SubmitPart BKminVE ΑΣΦSubmitBFind the minimum kinetic energy needed for a 4.6×104-kg rocket to escape the Earth.Express your answer in joules.► View Available Hint(s)ΑΣΦ[]?J] ?J

Given, Mass of rocket , m = 4.6×104 kg We know that mass of Moon , MM =7.353×1022 kg and radius of Moon , RM = 1.738×106 m mass of Earth, ME =5.972×1024 kg and radius of Earth , RE = 6.378×106 m The minimum kinetic energy required to escape the planet is equal to gravitational potential energy = GMmR, M is the mass of planet , m is mass of body and R is radius of planet and G = 6.673×10-11 m3kg-1s-2a) The minimum kinetic energy needed for a 4.6×104 kg rocket to escape the Moon = GMMmRM =6.673×10-11m3kg-1s-2×7.353×1022kg×4.6×104kg1.738×106m =1.30×1011 J b) The minimum kinetic energy needed for a 4.6×104 kg rocket to escape the Earth = GMEmRE =6.673×10-11m3kg-1s-2×5.972×1024kg×4.6×104kg6.378×106m =2.87×1012 J

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Find the minimum kinetic energy needed for a 4.6x104-kg rocket to escape the Moon. Express your answer in joules. ▸ View Available Hint(s) Kmin = Submit —| ΑΣΦ ? J

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

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Item 9
Part A
Find the minimum kinetic energy needed for a 4.6×104-kg rocket to escape the Moon.
Express your answer in joules.
► View Available Hint(s)
Kmin =
Submit
Part B
Kmin
VE ΑΣΦ
Submit
B
Find the minimum kinetic energy needed for a 4.6×104-kg rocket to escape the Earth.
Express your answer in joules.
► View Available Hint(s)
ΑΣΦ
[]?
J
] ?
J

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