Question

is the coin accelerating or not? not accelerating. is the net force (σf) on the coin 0 newtons or not? σf = 0 n. are the forces on the coin balance or unbalanced? balanced. choose the free body diagram that represents the coin in this scenario.

Explanation:

Step1: Analyze acceleration

If an object is not accelerating, net - force on it is zero according to Newton's second law $F = ma$ (where $a = 0$ gives $F=0$).

Step2: Determine force balance

When net - force is zero, forces on the object are balanced.

Step3: Select free - body diagram

For a coin at rest on a surface, the only two forces acting are the normal force $F_N$ (upward) and the force of gravity $F_g$ (downward). There is no applied force $F_A$ or drag force $F_D$ in the non - moving case. The correct free - body diagram shows only $F_N$ and $F_g$ acting in opposite directions.

Answer:

The coin is not accelerating, the net force on the coin is 0 N, the forces on the coin are balanced, and the correct free - body diagram is the one with only the normal force $F_N$ and the gravitational force $F_g$ acting on the coin (the second one among the free - body diagram options shown).