Question

If two masses in the ratio 3: 5 are accelerated by forces in the ratio
5 : 3 . Find the ratio of acceleration produced

Answer 1

ratio of acceleration = a1/a2

wkt

a1 = F1/m1

a2 =F2/m2

so

ratio of acceleration = (F1/m1) /(F2/m2)

= F1/F2 × m2/m1

we know that

m1/m2 = 3/5

so

m2/m1 = 5/3

also

F1/F2= 5/3

so

ratio of acceleration = 5/3× 5/3

= 25/9

so the ratio is 25:9

Answer 2

the ratio of accelerated (a1 : a2) is 25:9