The modulus of forces acting on any point of the body is equal to 3 H and 5 H.

The modulus of forces acting on any point of the body is equal to 3 H and 5 H. Explain in which cases the resultant of these forces can be equal to 8 H or 2 H.

Given:

F1 = 3 Newton – the modulus of the first force acting on the body;

F2 = 5 Newton – the modulus of the second force acting on the body.

It is required to determine in which cases the resultant of the forces can be 8 Newton or 2 Newton.

Since it is not specified in the problem statement, we assume that both forces act in the same plane.

Then, let the forces F1 and F2 be applied to one point and act in the same direction. The resultant will be equal to:

F = F1 + F2 = 3 + 5 = 8 Newtons.

Let the force F2 act in one direction, and the force F1 – in the opposite direction. The resultant will be equal to:

F = F2 – F1 = 5 – 3 = 2 Newtons.

Answer: The resultant will be equal to 8 Newton if both forces act in the same direction, 2 Newton – if one of the forces acts in the opposite direction.