13.1 The initial total mass of the Saturn V rocket, which launched Apollo 11 to the Moon (see a movie clip on Blackboard), was 2.8 x 106 kg, and the mass of the first-stage fuel was 2.1 x 106 kg. Also assume that the thrust was 37 x 106 N, that the exhaust speed u was 2600 m/s, and that you can neglect drag. (a) Calculate the rate r = (b) After what time did the first stage burn out (assuming r is constant)? (c) Calculate the rocket's velocity vz at the “burnout time" of the first stage (which is defined by when the mass of the rocket is equal to its dry mass, Mp). dm,/ dt at which the Saturn V rocket expelled mass.

Principles of Physics: A Calculus-Based Text
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Chapter8: Momentum And Collisions
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13.1 The initial total mass of the Saturn V rocket, which launched Apollo 11 to the Moon (see a movie clip
on Blackboard), was 2.8 x 106 kg, and the mass of the first-stage fuel was 2.1 x 10° kg. Also assume
that the thrust was 37 x 10° N, that the exhaust speed u was 2600 m/s, and that you can neglect drag.
(a) Calculate the rate r =
(b) After what time did the first stage burn out (assuming r is constant)?
(c) Calculate the rocket's velocity vz at the "burnout time" of the first stage (which is defined by when
the mass of the rocket is equal to its dry mass, Mp).
dmr/ dt at which the Saturn V rocket expelled mass.
Transcribed Image Text:13.1 The initial total mass of the Saturn V rocket, which launched Apollo 11 to the Moon (see a movie clip on Blackboard), was 2.8 x 106 kg, and the mass of the first-stage fuel was 2.1 x 10° kg. Also assume that the thrust was 37 x 10° N, that the exhaust speed u was 2600 m/s, and that you can neglect drag. (a) Calculate the rate r = (b) After what time did the first stage burn out (assuming r is constant)? (c) Calculate the rocket's velocity vz at the "burnout time" of the first stage (which is defined by when the mass of the rocket is equal to its dry mass, Mp). dmr/ dt at which the Saturn V rocket expelled mass.
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