Physics
Physics, 20.09.2020 14:01, kamarionnatillman13

6. A rocket burning its onboard fuel while moving through space has velocity βˆ’β†’v (t) and mass m(t) at time t. If the exhaust gases escape with velocity βˆ’β†’v e, relative to the rocket, then mdβˆ’β†’v /dt = dm/dtβˆ’β†’v e. (a) Show using this equation that βˆ’β†’v (t) = βˆ’β†’v (0) βˆ’ ln(m(0)/m(t))βˆ’β†’v e; (b) If the rocket accelerates in a straight line from rest to twice the speed of its exhaust gases, then what fraction of its initial mass would the rocket have to burn as fuel?

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6. A rocket burning its onboard fuel while moving through space has velocity βˆ’β†’v (t) and mass m(t) a...

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