A house painter uses a chair and pulley arrangement to lift himself up the side of a house. The painter's mass is 69.2 kg and the chair's mass is 24.0 kg. With what force must he pull down on the rope in order to accelerate upward at 0.379 m/s2?

To find the force with which the painter must pull down on the rope, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

First, we need to determine the total mass of the system, which includes both the painter and the chair. This can be calculated by adding the masses of the painter (69.2 kg) and the chair (24.0 kg), giving us a total mass of 93.2 kg.

Next, we can calculate the force required by using the formula:

Force = Mass × Acceleration

Substituting the given values into the formula, we get:

Force = 93.2 kg × 0.379 m/s^2

Calculating this, we find:

Force = 35.3428 N

Therefore, the painter must pull down on the rope with a force of approximately 35.3 Newtons in order to accelerate upward at 0.379 m/s^2.