Question

When two bodies with masses in ratio 2 :3 are acted upon by equal forces, what will be the ratio of their accelerations?​

Answer 1

Answer:

3:2

Explanation:

Let the one body of mass is 2m and acceleration a1

another body of mass 3m and acceleration a2

let force acted on both masses is F

So , Force on first mass

F = ma = 2m * a1

F= 2ma1

a1 = F/2m

Similarly force on second mass

F = 3m * a2

a2 = F/3m

Ratio of acceleration of mass 2m and 3m bodies

a1/a2 = F/2m /F/3m = 3/2

a1:a2 = 3:2 Answer