The modern Oedipus

It may be worth it to decide how we define ‘unstoppable force’ and ‘immovable object’.

An Immovable Object has 0 velocity:

v = 0

Acceleration is the time derivative of velocity:

a = d/dt(v(t))

a = d/dt(0)

a = 0

And we know that

a = F_net / m

An object with infinite mass would satisfy this equation, but an object with no net force would too. We could add a correction force that will satisfy the constraint of 0 net force.

|F_net| = 0

∑F_i = 0

F_correction + … = 0

To satisfy Newton’s 3rd law, we would need a reaction force to our correction force somewhere, but let’s not worry about that for now.

A physics definition of ‘Unstoppable Force’ is:

|F_unstoppable| =/= 0

In this case the gravitational force fits this description, given a few constraints

F_g = Gm∑ M_i / x_i²

As long as the gravitational constant G is not 0, our object has mass, and

∑ M_i / x_i² =/= 0, then

|F_g| > 0

But this does feel kinda like cheating because it’s not really what people mean by ‘unstoppable force’. the other way to define it is just immovable object in a different reference frame.

a = 0, |v| > 0

I’m gonna stop here because this is annoying to type out on mobile

Vegetarian mouse