With what force does an astronaut weighing 60 kg press on a chair during a vertical flight of a rocket

With what force does an astronaut weighing 60 kg press on a chair during a vertical flight of a rocket with an acceleration of 9m / s ^ 2? What is the force of pressure on the seat in flight with the rocket engines turned off?

1) Let us first consider what forces act on the astronaut during vertical take-off of the rocket. Let us find the resultant (ma) of all forces acting on a given body according to Newton’s second law: ma = N – mg, N support reaction (pressing from the side of the chair) and gravity – mg. Then N = ma + mg. Since the force N is the reaction of the support pressing from the side of the chair to the astronaut as opposing the increased pressure force from the side of the astronaut (his weight during overloads), then | P | = | N | = ma + mg = m (a + g), where the mass of the astronaut is m = 60 kg, g = 9.8 N / kg, | P | = 60 kg (9 + 9.8) m / s ^ 2 = 1128 N. Answer: with a force of 1128 N, a cosmonaut weighing 60 kg presses on the chair with a vertical departure of the rocket with an acceleration of 9 m / s ^ 2.
2) With the engine off, the acceleration is a = 0 m / s ^ 2, therefore | P | = | N | = mg;
| P | = 60 kg • 9.8 m / s ^ 2; | P | = 588H.
Answer: 588N is the force of pressure on the seat in flight with the rocket engines turned off.