Question

Consider the equation F = G*M*m/d2. If M triples and d doubles, F changes by what factor?

Answer 1

`F=(G\cdot M\cdot m)/(d^2)`

If:

`\begin{gathered} M_2=3M \\ and \\ d_2=2d \\ Then: \\ F=(G\cdot M_2\cdot m)/(d_2^2) \\ F=(G\cdot3M\cdot m)/((2d)^2) \\ F=(G\cdot3M\cdot m)/(4d^2) \\ Factor: \\ F=(3)/(4)\cdot(G\cdot M\cdot m)/(d^2) \end{gathered}`

Answer:

3/4