Question

Two objects have masses in the ratio 1:2. If the forces acting on them are in the ratio 2:1 then the ratio of their acceleration is :

Answer 1

Explanation:

Since masses are in ratio 3 : 5.

Let the mass of the objects be 3x and 5x.

Let F1 and F2 be the two forces with a1 and a2 accelerations.

F1 = m1a1 = 3xa1

and F2 = m2a2 = 5xa2

Since F1 : F2 = 5 : 3 , we have

3xa1 : 5xa2 :: 5 : 3

⇒ a1 : a2 = 5 × 3 : 3 × 3

⇒ a1 : a2 = 25 : 9

Answer 2

Answer:

4:1

Explanation:

f=ma

f=force

m=mass

a=acceleration

so 2×2:1×1

=4:1