lecture09-2 - Sections 3.4 Contd, and 3.5 Feb 17, 2009...

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Sections 3.4 Cont’d, and 3.5 Feb 17, 2009 Newtonian Mechanics/Electrical Circuits
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Reminders Bring your clickers this Thursday. A Summary of This Session: (1) Problem 25, p. 124; (2) RL and RC Circuits. Newtonian Mechanics/Electrical Circuits
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Problem 25, p. 124: A projectile escaping from Earth According to Newton’s law of grativation, the attractive force between two objects (with masses m and M ) varies inversely as the square of the distance r between them. That is F g = - G m M r 2 (what is the signiFcance of the “-” sign?) (a) ±ind the di²erential equation that describes the motion of a projectile m , under the in³uence of the Earth’s gravitational force (use M for the mass of Earth, R for the radius of Earth, assumed to be roughly spherical, and g = GM / R 2 ) Newtonian Mechanics/Electrical Circuits
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Prob 25, cont’d (b) Use the fact that dr dt = v to show that the equation in part (a) can be put in the form v dv dr = - gR 2 r 2 Newtonian Mechanics/Electrical Circuits
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lecture09-2 - Sections 3.4 Contd, and 3.5 Feb 17, 2009...

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