Questions: Free-body diagrams for four situations are shown below. The net force is known for each situation. However, the magnitudes of a few of the individual forces are not known. Analyze each situation individually and determine the magnitude of Force G.

Solution Steps

To solve the problem of determining the magnitude of Force G in the given situations, we will analyze each free-body diagram individually. However, since the diagrams are not provided here, I will outline a general approach to solving such problems.

In a free-body diagram, all the forces acting on an object are represented as vectors. The net force is the vector sum of all these forces. To find the unknown force, we need to use the information about the net force and the known forces.

Newton's Second Law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (\( F_{\text{net}} = m \cdot a \)). If the net force is given, we can use this information to find the unknown force by setting up an equation that sums all the forces to equal the net force.

For each situation, set up an equation where the sum of the known forces and the unknown force (Force G) equals the net force. Solve this equation to find the magnitude of Force G.

Final Answer