Question

A force F1 acting on a body of mass 5 kg producing on acceleration of 4m/s^2, another force F2 is acting on a body of mass 12kg and produce an acceleration of 2m/s^2 and last force F 3 acting on a body of mass 6kg and produced acceleration of 2.5m/s^2 find the ratio of F1, F2 and F3​

Answer 1

Answer:

F₁ : F₂ : F₃ = 20 : 24 : 15

Explanation:

Case first :

Given :

Mass ( m ) = 5 kg

Acceleration ( a) = 4 m / sec²

We know

F = m a

putting values we get

F₁ = 5 × 4

F₁ = 20 N

Case second  :

Mass ( m ) = 12 kg

Acceleration ( a) = 2 m / sec²

F₂ =  12  ×  2

F₂ = 24 N

Case third :

Mass ( m ) = 6 kg

Acceleration ( a) = 2.5 m / sec²

F₃ = 6 ×  2.5

F₃ = 15 N

Now ratio of F₁ , F₂ and F₃ .  

F₁ : F₂ : F₃ = 20 : 24 : 15

Thus we get ratio of three forces.