# Inertial mass, and energy required to accelerate from 100 kph to 101 kph versus 1000 kph to 1001 kph

In this article it says "It is commonly known that, if you accelerate an object, its mass will increase; however, to understand why this phenomenon occurs, we mustn’t think of the object’s mass increasing. Instead, we should think of its energy... when we speak of an objects mass increasing due to acceleration, we are really talking about its inertial mass increasing."

I understand that. But let's say I'm pushing a rock East at 100kph. I understand that if I suddenly wanted to push it West, I would be pushing the weight plus the momentum of the rock (the total of these would be the inertial mass). But if I only want to accelerate the object in the East direction, Does it take more energy for me to accelerate it from 1000kph to 1001kph than it took for me to accelerate it from 100kph to 101kph?

I have looked at all the links from questions like this, but I can't find that particular answer.

• Futurism.com is a bad place to learn physics. Nov 8, 2019 at 17:35
• Does it take more energy for me to accelerate it from 1000kph to 1001kph than it took for me to accelerate it from 100kph to 101kph? Yes, even in non-relativistic mechanics. Try calculating the kinetic energy $\frac{1}{2}mv^2$ at each of those four speeds. Relativistically, the energy increases even faster. Nov 8, 2019 at 17:38
• Mass doesn't get bigger, 4-velocity's time and space comments get bigger: $p_{\mu} = mu_{\mu}$, after all.
– JEB
Nov 8, 2019 at 17:39
• In any case, none of this has anything to do with relativity. Nov 8, 2019 at 17:55
• This has nothing to do with either time dilation or gravity. You need to ponder the work-energy theorem of Newtonian mechanics and understand why kinetic energy increases as the square of the speed. Nov 8, 2019 at 18:01