With what force does an astronaut weighing 70 kg, being in a spacecraft moving upward with an acceleration

With what force does an astronaut weighing 70 kg, being in a spacecraft moving upward with an acceleration of 40 m / s squared, press on the cockpit seat?

Given:

m = 70 kilograms is the mass of the astronaut;

a = 40 meters per second squared – the acceleration of a spacecraft moving vertically upward;

g = 9.8 meters per second squared – the acceleration of gravity.

It is required to determine P (Newton) – with what force the astronaut presses on the seat of the spacecraft cabin.

Since, according to the condition of the problem, the spacecraft is moving vertically upward, in order to determine the weight of the body, it is necessary to use the following formula:

P = m * (g + a);

P = 70 * (9.8 + 40) = 70 * 49.8 = 3486 Newton (approximately 3.5 kN).

Answer: the astronaut will press on the back of the spacecraft cabin with a force equal to 3486 Newtons.