In the inertial frame of reference, the force F imparts an acceleration to a body of mass m

In the inertial frame of reference, the force F imparts an acceleration to a body of mass m and What acceleration imparts a half force to a body of mass 2m?

To solve the problem, you need to apply Newton’s 2 law: the acceleration that the body will receive in direct proportion to the force acting on it and inversely proportional to the mass.

a = F / m; (1)

insert the given problem conditions:

F1 = F / 2; m1 = 2 m;

substitute and get:

a1 = (F / 2) / 2 m = F / 4 m; (2)

let us compare the obtained values of formulas (1) and (2):

a / a1 = 4;

a = 4 a1; or a1 = 0.25 a