Two bodies have masses in the ratio 3:1. They experience forces which impart to them acceleration in the ratio 2:9 respectively. Find the ratio of forces the masses experienced.
A
1 : 4
B
2 : 1
C
2 : 3
D
2 : 5
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Let the forces be F1, and F2.
F1 = m1 a1 = 3 x 2 = 6N
F2 = m2 a2 = 1 x 9 = 9N
F1 : F2 = 6:9 = 2:3
Thus ratio of forces is 2: 3
Source: Myschool Past Questions Archive (Record #297)