Analytical Mech Homework Solutions 102

Analytical Mech Homework Solutions 102 - 1 g m = exp 1 mp k...

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For V , e k v = 1 exp 1 f pe m gm mk k v m  =−   D ± From chap. 2, Section 2.3 … 11 e km v s For 1 0.01 m = D ± m and s 1 4 k = : () ( ) 9.8 exp 4 1 1 11,000 .01 4 f p m m    77 f p m m = 7.29 We can use Equation 7.7.9 to calculate the final velocity attained by the ion rocket during the 100 hour burn. Assuming the rocket starts from rest (even if the ion rocket is turned on while in Earth orbit, the initial rocket speed v 4 0 10 0 c . Thus … 0 ln p m vV m and 0 23 Fp pp mmm mm m =+= += p . The final rocket velocity is a little more than 10% c . ln3 0.1099 c ≈= 4 36.4 0.1099 0.1099 LL Y Ty cL Y y r == = r 7.30 We again use Equation 7.7.9 …
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