A body weighing 4kg under the influence of some force begins to move from a state of rest and travels a path

A body weighing 4kg under the influence of some force begins to move from a state of rest and travels a path of 4m in 2 seconds. What acceleration does a body with a mass of 10 kg acquire? under the same force?

Given:

m1 = 4 kg – body weight;

S = 4 meters – the path taken by a body with mass m1 during time t;

t = 2 seconds;

m2 = 10 kg – the mass of the second body.

It is required to determine the force F (Newton), which gives the acceleration to the body m1, and also to calculate the acceleration a2 of the body m2 when it interacts with the force F.

Taking into account that the body m1 began to move from a state of rest, we find its acceleration:

a = 2 * S / t ^ 2 = 2 * 4/2 * 2 = 2 m / s ^ 2.

F = m1 * a = 4 * 2 = 8 Newton.

a2 = F / m2 = 8/10 = 0.8 m / s ^ 2.

Answer: the force F is 8 Newton, the acceleration of the body m2 will be 0.8 m / s ^ 2.