A force of 0.39 N gives the body an acceleration of 2.6 m / s ^ 2. What will be the acceleration

A force of 0.39 N gives the body an acceleration of 2.6 m / s ^ 2. What will be the acceleration of the same body under the action of a force equal to 0.2835 N?

Initial data: F1 (first acting force) = 0.39 N; a1 (the acceleration that the first force imparts to the body) = 2.6 m / s ^ 2; F2 (second acting force) = 0.2835 N; m = const.

Since the body weight is constant, the ratio will be true:
m = F1 / a1 = F2 / a2.

Let us express the acceleration of the body when the force F2 acts:

a2 = F2 * a1 / F1.

Let’s do the calculation:

a2 = 0.2835 * 2.6 / 0.39 = 1.89 m / s ^ 2.

Answer: When a force of 0.2835 N acts on a body, the acceleration will be 1.89 m / s ^ 2.