Something is really bothering me

There is a question that I cannot get my head around. I am not expecting this post to become explosive, but I am hoping that a of my followers and new people out there can shed some light on thing in my head I cannot get around.....

Einstein's Theory of Relativity

When 'E" which is energy (Measured in Joules) is applied to an object say a spaceship or a pair of big boobies like the post title implied.... This energy is equal to the 'm' mass of the object multiplied by the speed of light times itself....... 'c' squared....

Now let's just say that if a pair of BOOBIES was floating out in space and linear kinetic energy was applied to it... the boobies would start accelerating one direction.... And if the energy is constantly applied, or increasingly applied... the boobies will go faster.... So every second that goes by the boobies will be going faster and faster..... Sooner or later the boobies will reach the speed of light as long as the source of energy does not stop right?

WRONG

Because it is a mathematical equation and 'E' and 'm' are on opposite sides of the '=' sign...... the more energy applied... the higher the mass.............. So If energy is increased ... the boobies gain more mass.....

And if they increase in mass.... then more energy will be required again.... and light speed can never be reached....

Now my question is....................

Can we say that................. A terminal velocity will be reached? Not due to air resistance..... But my an ENERGY/ MASS equilibrium?

Or can we way that the need for energy required for BOOBIES to reach light speed is going be exponentially more demanding in space flight on a physical object?

I have been pondering that all morning... not the boobies... NOT THIS TIME ;) ANYWAY.... But if a physical object trying to reach lightspeed in space like a rocket ship with nuclear sources for energy so it can last a long time.

Is there anyone out there who can enter a discussion about this with me? The BOOBIES or the PHYSICS.....

I'd love to hear from you...

Regards

Yoda