Final answer:
To calculate the resulting acceleration of an astronaut-satellite system, the total mass is combined and Newton's second law is applied. The acceleration is determined using the formula a = F/m, and with a force of 95.0 N and combined mass of 751 kg, the acceleration is 0.1265 m/s^2.
Step-by-step explanation:
The question is asking to calculate the resulting acceleration of an astronaut-satellite system during a spacewalk maneuver. To find this acceleration, we can apply Newton's second law of motion (F = m*a), which relates force, mass, and acceleration. Since the astronaut and the satellite move away from each other when the astronaut pushes off, we consider them as a single system. The total mass of the system is the sum of the mass of the astronaut and the satellite (91.0 kg + 660 kg = 751 kg). The force exerted by the astronaut is 95.0 N.
To calculate the acceleration, we use the formula a = F/m, where a is acceleration, F is force, and m is mass. Substituting the given values, we get a = 95.0 N / 751 kg which yields an acceleration of approximately 0.1265 m/s2. This is the acceleration that an observer would measure for the system as a whole.