When relating the linear momentum and total energy of an object ...

[lak]

When relating the linear momentum and total energy of an object with speed v = 0.8c, which of the following changes would increase the energy by the greatest amount? Assume that it is possible to change the mass of the object.
  A. increase the momentum of the object to 2p while keeping the mass constant.
  B. increase the mass of the object to 2m while keeping the momentum constant.
  C. imagine the speed of light to change to 82 of its present value (the object is still at initial speed v).
  D. increase the momentum of the object to 2p while keeping the velocity constant.
  E. increase the speed of the object to 0.95c.

Question 2

The addition of velocities formula restricts the values of certain velocities due to all of the following EXCEPT:
 

A. The curvature of spacetime consistent with inertial frames.
  B. Lorentz transformations.
  C. The speed of light in a vacuum is the same to all observers.
  D. The laws of physics are the same in all inertial frames.

[ASDFGJLO]

Answer to Question 1

D.
This statement doubles the mass of the object, which is squared in both terms of the energy to momentum relation. This answer increases the energy by the greatest amount compared to the other answers, primarily because mass-energy is so great

Answer to Question 2

Einstein's general theory of relativity talks about curvature of spacetime and accelerating frames. The addition of velocities formula deals with the special theory of relativity.