A research space vehicle in gravity-free and drag-free outer space launches a smaller space- craft into...

 

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A research space vehicle in gravity-free and drag-free outer space launches a smaller space- craft into a meteor shower region. The 2-kg sensitive instrument package of this spacecraft (25 kg total mass) limits the maximum acceleration to no more than 50 m/s². It is launched by a solid propellant rocket motor which has specific impulse Isp = 260s and propellant mass fraction C 0.88. Assume the rocket motor starts and stops instantaneously (i.e. neglect any transients). = (a) (10 points) Determine the maximum allowable burn time, assuming steady constant propellant mass flow. (b) (10 points) Determine the maximum velocity attained relative to the launch vehicle. (c) (10 points) Recompute parts (a) and (b) if half of the total impulse is delivered at the original propellant mass flow rate, with the other half delivered using only 20% of this mass flow rate. A research space vehicle in gravity-free and drag-free outer space launches a smaller space- craft into a meteor shower region. The 2-kg sensitive instrument package of this spacecraft (25 kg total mass) limits the maximum acceleration to no more than 50 m/s². It is launched by a solid propellant rocket motor which has specific impulse Isp = 260s and propellant mass fraction C 0.88. Assume the rocket motor starts and stops instantaneously (i.e. neglect any transients). = (a) (10 points) Determine the maximum allowable burn time, assuming steady constant propellant mass flow. (b) (10 points) Determine the maximum velocity attained relative to the launch vehicle. (c) (10 points) Recompute parts (a) and (b) if half of the total impulse is delivered at the original propellant mass flow rate, with the other half delivered using only 20% of this mass flow rate.