If same force acts on a body, what will happen ton acceleration of the object when its (a) mass is - Science - Gravitation

Question

If same force acts on a body, what will happen ton acceleration
of the object when its (a) mass is doubled (b) Mass is made 1/4th?
Also determine the ratio of acceleration in the above two cases

Kumar Prabhat · Accepted Answer

Let F be the force applied on object of mass M
then, F=Ma or
a=FM      a=acceleration of object

(a) If mass is doubled,
a1=F2M

(b) If mass is made 1/4 th a2=FM4=4FM

a1a2=F2M4FM=F×M2M×4F=18

Ration of two accelerations is 1:8

If same force acts on a body, what will happen ton acceleration of the object when its (a) mass is doubled (b) Mass is made 1/4th? Also determine the ratio of acceleration in the above two cases.