A body weighing 8 kg, under the action of some force, acquired an acceleration of 4 m / s2.

A body weighing 8 kg, under the action of some force, acquired an acceleration of 4 m / s2. What acceleration will a body with a mass of 12 kg acquire under the same force?

To find the acceleration acquired by the second body, we will use the equality: m1 * a1 = F (acting force) = m2 * a2, whence we express: a2 = m1 * a1 / m2.

Variables: m1 – mass of the first body (m1 = 8 kg); a1 – acceleration of the first body (a1 = 4 m / s2); m2 is the mass of the second body (m2 = 12 kg).

Calculation: a2 = 8 * 4/12 = 2.67 m / s2.

Answer: The second body should have acquired an acceleration of 2.67 m / s2.