The body moves with an acceleration of 2m / s ^ 2 under the action of a force of 10N.

The body moves with an acceleration of 2m / s ^ 2 under the action of a force of 10N. Find the acceleration of the body if this force is increased by 2N?

To find the acceleration of a body after an increase in the acting force by 2 N, we use the equality: F1 / a1 = m (constant body mass) = F2 / a2 = (F1 + ΔF) / a2, whence we express: a2 = (F1 + ΔF) * a1 / F1.

Variable values: F1 – initial force (F1 = 10 N); ΔF – an increase in the acting force (ΔF = 2N); a1 – initial acceleration (a1 = 2 m / s2).

Calculation: a2 = (F1 + ΔF) * a1 / F1 = (10 + 2) * 2/10 = 2.4 m / s2.

Answer: After an increase in the acting force by 2 N, the body will move with an acceleration of 2.4 m / s2.