A body with a mass of m¹ = 4 kg. under the action of some force F acquired an acceleration a² = 2m / s².

A body with a mass of m¹ = 4 kg. under the action of some force F acquired an acceleration a² = 2m / s². What acceleration a² does a body with a mass of m ² = 10 kg acquire under the action of the same force?

given
m1 = 4 kg
a1 = 2 m / s squared
m2 = 10 kg
F1 = F2
find a2

solution
Newton’s second law is F = m * a
use it
F1 = m1 * a1
F2 = m2 * a2
since, by the condition F1 = F2, that is, we obtain
m1 * a1 = m2 * a2
from here we find a2
m2 * a2 = m1 * a1
a2 = m1 * a1 / m2
substituting the known values, we find what is a2, then we get
a2 = 4 kg * 2 m / s squared / 10 kg = 4 * 2/10 m / s squared = 4 * 2 / (5 * 2) m / s squared = 4 * 1 / (5 * 1) m / s squared = 4/5 m / s squared = 0.8 m / s squared
Answer: 0.8 m / s squared

Answer 4m / s²