Question

State the relationship between force, mass and acceleration. Draw graphs showing the relationship between: Acceleration and force for a constant mass.

Answer 1

Hint: To answer this question, one must have a concept of Newton’s second law of motion as it depicts the relationship between force mass and acceleration. And then as per the question that is for acceleration and force for a constant mass, we will first obtain the equation and then draw the graph.

Complete step by step answer:
We know that the rate of change of momentum is directly proportional to the force which is applied. And we can express this mathematically as $F = ma$. Now, let's draw the given graph, as per the question it is given, mass is constant, so we can take mass $m = c$. And we can say that $a$ is directly proportional to $F$ i.e., $F \propto a$ so, from here we can see the graph will be a straight line.

Note: Here we can contradict that what if the mass will be zero . In this situation the acceleration also becomes zero and the graph we will see is x-axis only. But this will not happen because mass is never defined as zero or negative in these types of situations. So, we can say that the graph will be a straight line only.