If a = acceleration and F = force, then mass m is given by:a.m =Fa𝐹𝑎b.m =F - ac.m = aF d.m = a - FClear my choice

Break Down the Problem

1. Identify the relationship between force (F), mass (m), and acceleration (a) based on Newton's second law of motion.

Relevant Concepts

2. Use the formula from Newton's second law of motion: $F = ma$ Rearranging this formula allows us to express mass (m) in terms of force (F) and acceleration (a): $m = \frac{F}{a}$

Analysis and Detail

3. Based on the formula:
   • If force (F) is known and acceleration (a) is known, we can find mass (m) by dividing the force by the acceleration.
   • This indicates that mass is directly proportional to force and inversely proportional to acceleration.

Verify and Summarize

4. Among the options provided:
   • The correct formula for mass (m) derived from the equation $F = ma$ is: $m = \frac{F}{a}$ Thus, the correct answer is represented by option (a): $m = \frac{F}{a}$.

Final Answer

The correct relationship that expresses mass (m) is: a. $m = \frac{F}{a}$