# Two forces act simultaneously on a body. One force is 5 N due to East while the other is 12 N due to North. What is the magnitude of the resultant force?

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##### 5.11 - BIO Stay Awake! An astronaut is inside a 2.25 X 106kg 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 astronauts are in danger of blacking out at an acceler- ation greater than 48. (a) What is the maximum initial thrust this rocket's engines can have but just barely avoid blackout? Start with a free-body diagram of the rocket. (b) What force, in terms of the astronaut's weight w, does the rocket exert on her? Start with a free-body diagram of the astronaut. (c) What is the shortest time it can take the rocket to reach the speed of sound?
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