Final answer:
The question involves Physics principles of statics and mechanics to calculate the safe position of a ladder against a wall.
Step-by-step explanation:
The correct answer is option Physics, as the question pertains to concepts of mechanics and static equilibrium. When leaning a ladder against a wall, the position of the foot of the ladder is crucial to ensure stability, which requires an understanding of forces and torques. Students are asked to calculate the reaction forces from the floor and the wall on the ladder, as well as the coefficient of static friction that prevents slipping. This involves applying principles of physics, specifically statics, to solve for these variables considering the weight of the ladder, its length, the angle at which it rests, and the additional load of a person on the ladder.
To find the normal and friction forces at the base of the ladder, as well as the forces at the top and bottom when a person is climbing, it's essential to draw a free-body diagram and apply the equations of equilibrium. The sum of the torques must be equal to zero for the ladder to be in a state of static equilibrium, and the forces must balance in both horizontal and vertical directions. This calculation will involve considering the ladder's center of mass and the position of the person on the ladder.
According to statics and torque calculations, the ladder can be leaned safely against the wall by ensuring that the base is properly distanced to prevent slipping, with the static friction providing enough resistance.