A radioactive nucleus has a half-life of 5*108 years. Assuming that a sample of rock (say, in an asteroid) solidified right after the solar system formed, approximately what fraction of the radioactive element should be left in the rock today? The age of the solar system is 4.5*109 years. (No calculator is necessary, but if it helps use it.)

0.002

Explanation:

The half-life of the radioactive nucleus is related to its quantity, by the following equation:

Where:

N(t): is the quantity of the radioactive nucleus at time t

N₀: is the  initial quantity of the radioactive nucleus

t: is the time = 4.5x10⁹ years

t(1/2): is the half-life of the radioactive nucleus = 5x10⁸ years

Therefore, the fraction of the radioactive element in the rock today is 0.002.

I hope it helps you!  

the diagram which shows forces as either balanced = same speed or unbalanced = accelerarting

a charge 3q is at the origin, and a charge −2q is on the positive x axis at x=a. part a where on the x-axis would you place a third charge so it would experience no net electric force? enter an expression for the exact answer, which will involve a square-root sign. (do not enter an approximate decimal answer.)