Question

Two bodies have masses in the ratio 3:1 They experience forces which impact to them acceleration in the ratio 2:9 respectively. Find the ratio of the forces the masses experience.

Answer 1

$\large{ \sf \underline{Solution- }}$

Here it is given that,

⟹ Mass of two bodies in the ratio = 3:1

⟹ Both of these bodies experience forces which impact to them acceleration in the ratio 2:9 respectively.

⟹ We have to find the ratio of the forces the masses experience.

We know,

$\implies \: \boxed{F = m \times a }$

Here,

• F = force
• m = mass
• a = acceleration

Now,

⟹ Let the forces be F₁ and F₂

• F₁ = Force applied on first body
• F₂ = Force applied on second body

$\tt \implies \: F_1 = 3 \times 2 = \bf 6 \: N$

And

$\tt \implies \: F_2 = 1 \times 9 = \bf 9 \: N$

Then,

$\tt \implies \: F_1 : F_2 = 6 : 9 = \boxed{\bf2 : 3}$