Warp Speed and Relativity

Let’s start with some videos!

The theory of relativity states that as an object travels with velocity v, its rest mass m_0 changes to a mass m given by the formula m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}} where c is the speed of light.

By what factor is the rest mass of a spaceship multiplied if the ship travels at one-tenth the speed of light?

By what factor is the rest mass of a spaceship multiplied if the ship travels at one-half the speed of light?

By what factor is the rest mass of a spaceship multiplied if the ship travels at 90% the speed of light?

Warp speed is defined by the equation v=w^3 c. If an object’s mass is twice its rest mass, what¬†warp is it travelling at?

Use the relativistic mass formula to show that it is not possible for an object with mass to travel faster than the speed of light.