Question

1. draw the free body diagram of a block on a slope. assume friction is not negligible. (see picture.)

Explanation:

Identify the acting forces

We identify all forces acting on the block.
The forces are gravity, normal force, and friction.

Determine gravity direction

Gravity acts straight downwards.

$$ \vec{F}_g = m\vec{g} $$

Determine normal force direction

The normal force acts perpendicular to the slope.
It points away from the surface.

Determine friction force direction

Friction opposes the relative motion.
It points up along the slope.

Answer:

To draw the free-body diagram of the block on the slope:

1. Gravity (\(\vec{F}_g\)): Draw a vector pointing straight down from the center of the block.
2. Normal Force (\(\vec{F}_N\)): Draw a vector pointing perpendicular to the slope, directed away from the surface.
3. Friction Force (\(\vec{F}_f\)): Draw a vector pointing up along the slope, parallel to the surface, opposing the downward slide.