Question

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

Answer 1

Answer:

ANS. 8 : 15

Explanation: Suppose the two masses of car (m1) and (m2) are in the ratio 4:5 and having the acceleration (a1) and (a2) in the ratio 2:3 respectively.

Wehave the formula, F = ma

So applying the above formula for the both cars we get,

F1 = m1 .a1 ---- (a)

F2 = m2 .a2 ----(b)

Divide (a) by (b) , we get ,

$\frac{F1}{F2}$ =   $\frac{m1}{m2}$ * $\frac{a1}{a2}$

Putting the values we get,

F1 : F2 = 8 : 15   ans.