SOLUTION: Inverse Variation: The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance between them. If F=18 when d=10, find F whe

Algebra.Com
Question 1104869: Inverse Variation:
The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance between them. If F=18 when d=10, find F when d=15.
Thanks in advance. :)

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
inverse variation formula is y = k/x.

let F = y and let d^2 = x and you get F = k/d^2

F = 18 when d = 10, therefore the equation becomes 18 = k/100.

solve for k to get k = 100*18 = 1800.

k is the constant of variation, so k will always remain at 1800 in this equation.

you want to find F when d = 15.

formula becomes F = 1800 / 15^2.

solve for F to get F = 8.





RELATED QUESTIONS

The force of attraction (F) between two opposite electric charges varies inversely as the (answered by Edwin McCravy,greenestamps)
Using k as the constant of variation, write the equation of variation for each following. (answered by mananth)
Solve the problem as directed. Use proportions to find the solution. The gravitational (answered by stanbon,dfrazzetto)
The gravitational attraction between two bodies varies inversely as the square of the... (answered by ewatrrr,stanbon)
Can you please help me with this word problem? The gravitational attraction between... (answered by nyc_function)
Hi, I was hoping to get some help with this problem...... The gravitational attraction (answered by Theo)
The gravitational attraction A between two masses varies inversely as the square of the... (answered by Alan3354)
The force of attraction between two magnets is inversely proportional to the square of... (answered by Alan3354,Boreal)
I am not sure if this is the right topic I chose could not find one for Inverse... (answered by stanbon,MathLover1)