Question

two cars having masses in the ratio 4:5 and accelerate in the ratio 2:3 find the ratio of forces exerted by each of them

Answer 1

force = ma
ratio of forces = ratio of mass × ratio of acceleration
= 4×2 : (5×3) = 8:15

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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.