by what percent will the gravitational force between the two bodies be increased if their masses are increased by 50% ?

both masses increase by the 50%
M,1=3M/2
M,2=3M2/2
FROM ABOVE NEW FORCE WILL BE 9F/4.. F BE INITIAL FORCE.
Ffinal-Fini=5F/4 .THEREFOR 125% FORCE WILL INCREASE..

Hope this will help uh

F = Gm1m2/r^2 m1'= m1 + (50/100)m1 = 3m1/2 m2' = m2 +(50/100)m2 = 3m2/2 F' = Gm1'×m2'/r^2 = G ×(3m1/2)×(3m2/2) /r^2 = G×3×m1×3×m2/(r^2)×2×2 = 9/4 × (Gm1m2/r^2) F' = 9/4 × F % change = (F'-F)/F × 100 = (9F/4 - F)/F × 100 = (5F/4)/F × 100 = 5/4 × 100 = 125%

get some inspiration instead of answer. 🔥

by what percent will the gravitational force between the two bodies be increased if their masses are increased by 50%