F varies directly with m and inversely with the square of d

F varies directly with m and inversely with the square of d. If F = 120 when m = 640 and d = 4. find F when m = 200 and d = 2. F =

Solution

Dear Student Thank you for using Chegg !! Given F Varies directly with m F varies inversely with square of d F = K (m/d^2) where K is proportionality constant F1 120 F2 m1 640 m2 200 d1 4 d2 2 F1 *d1^2 / m1 = F2 *d2^2 / m2 120*4^2/ 640 = F2*2^2/200 3 = F2 / 50 F2 = 150