Move the slider to assign a new value to force and click on "ROLL". Try this with 2-3 different values of force, then click on "PLOT"
Did you notice the change in the ball's speed as you increased the force? If you notice that the ball moved faster,
then you're right! This kind of relation between two variables is called "Direct Proportion".
This means, as one increases, the other variable also increases.
Now look at the graph, how does it look? Does it look like the graph here, a straight line at an angle of about 45 degrees? If it doesn't, why don't you try out a few more values of force?
This kind of relationship is called "Linear Dependency". This means as one variable increases, the other by the same factor irrepective of the value of either variable. That means, in this case, whether force is 500N or 2500N, acceleration will increase by same factor of 0.1 (for a constant mass of 10Kg)
Move the slider to assign a new value to mass and click on "ROLL". Try this with 2-3 different values of mass, then click on "PLOT".
This time, did you anything different in how the ball's speed changed as you increased the mass?
Now, the ball moved slower as you increased the mass. This kind of relation between two variables is called
"Inverse Proportion". This means, as one increases, the other variable decreases.
Now look at the graph, how does it look? Does it look like the graph here, a curve in the shape of a slide? If it doesn't, why don't you try out a few more values of mass?
This kind of relationship is called "Reciprocal Dependency". This means as the independent variable changes, the dependent variable changes by an exponential factor that depends on the value of the independent variable. That means, in this case, as you move from mass 10Kg to 100Kg the change in acceleration will slow down (for a constant force of 2500N)
To summarize, Newton's second law of motion basically means that acceleration is affected by both the force exerted and
the mass of the object. The more force exerted, the more acceleration is produced. The more mass the object has, the
lesser acceleration is produced. Thus force and mass kind of balance each other.
Now lets see if you've fully understood this. If I have 2 objects of masses M1 = 50kg and M2 = 80kg and 2 forces - F1 = 1000N
and F2 = 5000N, which combination of M and F will produce maximum acceleration, and what would that be?
I know the concepts of mass and forces seem abstract, so to help you understand better here are some forces and
masses that occur in nature that you can relate to!