Question

if two masses in the ratio 4:9 are to be accelerated by force in the ratio 9:4.find the acceleration ratio​

Answer 1

Answer:

Explanation:

From Newton's 2nd law, we have the formula- F=ma where F- force, applied on a particle, m- the mass of the particle, and a= acceleration

Suppose, the mass of lighter particle=m

mass of heavier particle= M

Force applied on lighter body= f

Force applied on heavier body= F

Acceleration of lighter particle = a

Acceleration of heavier particle= A

f=ma and F= MA

m/M= 4/9 and f/F= 9/4

(9/4)=(4/9)* (a/A)

So we get, (a/A)= (81/16)

The acceleration of the particles are in the ratio is 81:16