SOLUTION: The attraction (A) betwen a magnet and a bar of iron varies inversely as the square of the distance (d) between the magnet and the bar of iron. The attraction between the two is 2

Algebra ->  Inverses -> SOLUTION: The attraction (A) betwen a magnet and a bar of iron varies inversely as the square of the distance (d) between the magnet and the bar of iron. The attraction between the two is 2      Log On


   

Question 180443: The attraction (A) betwen a magnet and a bar of iron varies inversely as the square of the distance (d) between the magnet and the bar of iron. The attraction between the two is 2 newtons when the distance is 3 cm.
The measure of the attractin when the distance is 0.5 cm is?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Ad^2=k where k is a constant
:
lets find k
:
we are given A=2 and d=3
:
2%283%29%5E2=k
:
so our constant k =18
:
Ad=18
:
now lets find A when d=.5.....remembering that in an inverse relationship when one variable increases the other decreases and vice versa. In this instance d is decreasing from 3 to .5 so we would expect A to increase
:
A%28.5%29%5E2=18
:
highlight%28A=72%29newtons....and just like we knew A increased from 2 to 12