Does a moving object need more heat to raise its temperature?

[Acut]

I was wondering: relativity predicts that the mass of an object increases with its speed. Does this imply that a moving object would require a larger amount of heat in order to increase its temperature than an object at rest?

 

[Antiphon]

Not in the rest frame of the object. The question is: how does a temperature field transform between inertial frames?