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## Homework Statement

Scientist Ludwig von Drake, while in his laboratory, measures the half-life of some radioactive material which is in a bomb, approaching with speed v. Donald Duck, who is riding on the bomb, also measures the half-life. His answer is a factor of 2 smaller than Ludwig's. What is the value of v, expressed as a fraction of c?

**Answer:**.87

## Homework Equations

Special relativity equation: t=t0/square root (1-v2/c2) Note: 2 = squared

Other: I know there is at least one more I must use but for the life of me don't know what it is.

## The Attempt at a Solution

First we set V=Drakes. If this is so than Donald's equation must be equal to:

t=[t0/square root (1-v2/c2)]/2

Therefore to= 2t[square root (1-v2/c2)]

The problem is in equating the equations. They end up cancelling out because one is a direct derivative of the other. This leads me to believe I need at least 1 more equation.

It must also be noted that while von Drake may use the special equation of relativity Donald duck cannot (at least this is what I figure). I say this because Donald duck is viewing the half-life from the bomb at rest, meaning he would be more in the realm of inertial frame of reference. What equation i now use knowing that I have no idea.

Thanks in Advance guys.