find the net force produced by a 40 newton force and a 50 Newton force in each of the following cases

1. both forces ast in the same direction.

2. both forces act in opposite directions.

1. They add.

2. They subtract, and the resultant is in the direction of the larger.

To find the net force produced by two forces, we need to consider their direction and magnitude. The net force is the vector sum of all individual forces acting on an object. Let's solve the problem for each case:

1. When both forces act in the same direction:
To find the net force, we add the magnitudes of the two forces together. In this case, the net force is the sum of the 40 Newton force and the 50 Newton force. Mathematically, we have:

Net force = 40 N + 50 N
Net force = 90 N

Therefore, when both forces act in the same direction, the net force is 90 Newtons.

2. When both forces act in opposite directions:
When forces act in opposite directions, we need to consider their signs (positive or negative). In this case, one force is pulling in one direction, while the other is pulling in the opposite direction. To find the net force, we subtract the magnitude of the smaller force from the magnitude of the larger force. Mathematically, we have:

Net force = |40 N - 50 N|
Net force = |-10 N|
Net force = 10 N

Note: The absolute value (denoted by | |) is taken to ensure we get a positive value for the net force.

Therefore, when both forces act in opposite directions, the net force is 10 Newtons.