The lander approaches the ground vertically with an acceleration of 2 m / s2. Find the weight of the 80 kg astronaut.

The weight P is equal to the reaction of the module N, which acts on the astronaut and is directed upward (weight P is applied to the module).

Also, the astronaut is affected by the force of gravity F = mg.

Under the action of these two forces (N and F), the astronaut moves with acceleration a = 2 m / s².

The Y-axis is directed upwards.

Let’s write Newton’s second law in projection onto the Y-axis.

N – mg = -ma;

N = (mg – ma) = m (g-a) = 80 kg * (10 m / s² – 2 m / s²) = 640 N.

P = 640 N.

Answer: 640 N.