Question

Two cars having masses in the ratio 4 : 5, accelerate in the ratio 2:3. Find the ratio o forces exerted by each of them.

Answer 1

Force = mass*area
so,according to the question

F1/F2 = (m1/m2)(a1/a2)
F1/F2 = (4/5)(2/3)
F1/F2 = 8/15

Answer 2

Let the masses be m1 and m2, accelerations be a1 and a2 & forces be f1 and f2.

We know that,

Force = Mass * Acceleration

So,

f1/f2 = m1/m2 * a1/a2

= 4/5 * 2/3

= 4 * 2 / 5 * 3

= 8 / 15

= 8 : 15 Ans.

Ans.) The ratio of forces exerted by each of them is 8 : 15.