Given data:
* The mass of the astronaut is m = 95 kg.
* The force read by the Newton scale when the shuttle takes off is F = 5500 N.
Solution:
According to Newton's second law, the force on the astronaut in terms of the acceleration and mass is,
Substituting the known values,
The shuttle and the astronaut are moving with the same acceleration.
Thus, the acceleration of the shuttle is 58 meters per second squared.