Question

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

Explanation:

Step1: Analyze motion of coin

If there is no external un - balanced force acting on the coin, it will remain at rest or move with a constant velocity. If there is an un - balanced force, it will accelerate.

Step2: Determine net force

According to Newton's second law $F_{net}=\sum F = ma$. If $a = 0$, then $F_{net}=0$. If $a
eq0$, then $F_{net}
eq0$.

Step3: Check force balance

Balanced forces result in no acceleration ($a = 0$) and $F_{net}=0$. Unbalanced forces cause acceleration ($a
eq0$) and $F_{net}
eq0$.

Step4: Select free - body diagram

Identify the forces acting on the coin. The main forces are gravitational force ($F_g$) acting downwards and normal force ($F_N$) acting upwards. If there are no other horizontal or vertical forces causing an un - balance, the forces are balanced.

Assuming the coin is at rest on the surface in the given scenario (no additional information about motion is provided):

Answer:

1. No
2. Yes
3. Balanced
4. The free - body diagram with $F_N$ and $F_g$ acting vertically (the second one from the left among the free - body diagram options)