Two forces are applied to the body, directed in opposite directions F1-100H, F2-50H.

Two forces are applied to the body, directed in opposite directions F1-100H, F2-50H. The body moves with an acceleration of 0.5m / s². Find the mass of the body and the direction of the acceleration vector.

F1 = 100 H.

F2 = 50 H.

a = 0.5 m / s².

m -?

According to 2 Newton’s law, the mass of a body m is equal to the ratio of the resultant of all forces F that act on the body to the acceleration of this body: m = F / a.

The resultant forces F is the vector sum of the forces that act on the body: F = F1 + F2.

Since the forces are directed in opposite directions, then F = F1 – F2.

The resultant forces F will be directed towards the greater force F1.

The acceleration of the body will also be directed towards the force F1

m = (F1 – F2) / a.

m = (100 N – 50 N) / 0.5 m / s² = 100 kg.

Answer: body weight is m = 100 kg.