The mass of the first body is 400 g, the acceleration that the resulting force imparts to it is 5 M / s ^ 2

The mass of the first body is 400 g, the acceleration that the resulting force imparts to it is 5 M / s ^ 2. What acceleration will the same force impart to a body with a mass of 1500 g?

m1 = 400 g = 0.4 kg.

m2 = 1500 g = 1.5 kg.

a1 = 5 m / s ^ 2.

F1 = F2.

a2 -?

According to Newton’s 2 law, the acceleration of a body a is directly proportional to the resulting force F, which acts on the body, and is inversely proportional to the mass of the body m: a = F / m.

a2 = F2 / m2.

Let’s write 2 Newton’s law for the first body: F1 = a1 * m1.

Since F1 = F2, then F2 = a1 * m1.

a2 = a1 * m1 / m2.

a2 = 5 m / s ^ 2 * 0.4 kg / 1.5 kg = 1.33 m / s ^ 2.

Answer: the force will impart an acceleration to the second body a2 = 1.33 m / s ^ 2.