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

In an inertial frame of reference, the force F imparts an acceleration a to a body of mass m. How will the acceleration of the body change if the body weight is reduced by 2 times?

Given:

F is the force imparting acceleration to a certain body;

m1 = m – body weight;

m2 = m / 2 – the body weight was reduced by 2 times.

It is required to determine a2 / a1 – how the acceleration of a body will change with a change in mass.

In the first case, the acceleration of the body will be equal to:

a1 = F / m1 = F / m.

In the second case, the acceleration of the body will be equal to:

a2 = F / m2 = F / (m / 2) = 2 * F / m.

Then:

a2 / a = (2 * F / m) / (F / m) = 2 * F * m / (F * m) = 2 times.

Answer: with a decrease in body weight by 2 times, the acceleration of the body will increase by 2 times.