(3.29) mů = -mvex + Fext. 3.14 ** Consider a rocket subject to a linear resistive force, f = –bv, but no other external forces. Use Equation (3.29) in Problem 3.11 to show that if the rocket starts from rest and ejects mass at a constant rate k = -m, then its speed is given by k v =-Vex b. mo
(3.29) mů = -mvex + Fext. 3.14 ** Consider a rocket subject to a linear resistive force, f = –bv, but no other external forces. Use Equation (3.29) in Problem 3.11 to show that if the rocket starts from rest and ejects mass at a constant rate k = -m, then its speed is given by k v =-Vex b. mo
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Transcribed Image Text:mi = -mver + Fext_
(3.29)
3.14 ** Consider a rocket subject to a linear resistive force, f=-bv, but no other external forces. Use
Equation (3.29) in Problem 3.11 to show that if the rocket starts from rest and ejects mass at a constant
rate k = -m, then its speed is given by
k
b/k
m
V =
Vex
1-
b
Now, assume that this rocket can burn a fraction A = 0.8 of its initial fuel mass mo (that is, assume 80%
of the total mass is fuel). For k/b = {0.1, 0.5, 1}, compute USING MATHEMATICA the maximum distance
Xmax traveled by the rocket before it depletes its fuel reservoir, assuming vex = 2550 ft sec-1 and a
burn time of 0.6 s (typical for an Estes Model Rocket).
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