Part A An astronaut is inside a 2.25 × 106 kg rocket that is blasting off vertic

Question

Part A An astronaut is inside a 2.25 × 106 kg rocket that is blasting off vertically from the launch pad. You want this rocket to reach the speed of sound (331 m/s) as quickly as possible, but you also do not want the astronaut to black out. Medical tests have shown that astronauts are in danger of blacking out for an acceleration greater than 4 What is the maximum thrust the engines of the rocket can have to just barely avoid blackout? Start with a free-body diagram of the rocket. Fthrast Submit My Answers Give Up Part B What force, in terms of her weight W. does the rocket exert on the astronaut? Start with a free-body diagram of the astronaut F- Submit My Answers Give Up Part C What is the shortest time it can take the rocket to reach the speed of sound? Submit My Answers Give Up

Explanation / Answer

1)

F = T = MA = MG = M(4g) = 2.25 x 106 x (4x9.8) = 8.82x107N.

2)

F = mG = m(g4) = W4; four times her weight.

3)
t = V/G = V/(4g) = 331/(4x9.8) = 8.443 sec

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