# ps10b26 - Ph 111.01 November 5 2008 PS 10b(26 Problem 1...

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Ph 111.01 November 5, 2008 PS 10b (26) Problem 1 - Walker IP. 12-85. Referring to the Interactive Figure below, suppose Jules Verne's cannon launches a rocket straight upward. (a) If the mass of the Earth was changed to 6.50 times its original mass, would the escape speed of a rocket increase, decrease, or stay the same? (b) Calculate the escape speed of a rocket for the case of an Earth with 6.50 times its present mass. km/s (c) If the mass of the Earth retains its present value, but the mass of the rocket is halved , does the escape speed increase, decrease, or stay the same? Solutions. Parts (a) and (c) can be inferred from changing things in the interactive figure. Increasing the mass increases the escape speed. Changing the mass of the rocket does not effect the escape speed. (b) The expression for the escape speed, from the text, eq. (12-13), is ( ) ( ) ( ) ( ) ( )( ) E 2 6 E E E 2 E E 2 6 2 6 2 6 2 6.50*9.8 m/s 6.37 10 m 28,488 m/s 28.488 km/s e G M GM v R g R R R = = = = = = x

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