The resultant of two forces acting on the same point simultaneously will be the greatest when the angle between them is
180⁰
45⁰
0⁰
90⁰
The magnitudes add when they are both in the same direction. That is the last one I will answer without seeing any attempt by you to do it.
90degrees
The resultant of two forces acting on the same point simultaneously will be the greatest when the angle between them is 0° or 180°.
To understand why, let's consider the concept of vector addition. Forces are vector quantities, which means they have both magnitude and direction. When two forces act on the same point, their individual magnitudes and directions can be combined to determine the resultant force.
When the forces are acting in the same direction or are collinear (angle of 0° or 180°), their magnitudes directly add up to produce a larger resultant force. Imagine pushing a book along a table in the same direction. If you apply a force of 10 Newtons and someone else pushes with a force of 20 Newtons in the same direction, the resulting force will be the sum of the magnitudes, which is 30 Newtons.
Conversely, when the forces are acting in opposite directions (angle of 180°), their magnitudes subtract. Imagine pulling a book on a table in different directions. If you pull with a force of 20 Newtons and someone else pulls in the opposite direction with a force of 10 Newtons, the resulting force will be the difference in magnitudes, which is 10 Newtons.
Therefore, the resultant force will be the greatest when the angle between the forces is 0° or 180°.