Final answer:
The resultant force on the pin at point B is 95 N directed to the right. For the man applying force on the crate, the resultant force is 3 N, which is the difference between the force applied by him and the force exerted by the crate.
Step-by-step explanation:
To determine the resultant force on the pin at point B when a force of P = 95 N is applied, we must consider the vector nature of forces. According to the given information, the resultant vector measures 9.5 cm and points to the right; thus the resultant force must be 95 N in the positive direction, or to the right.
For the second scenario involving the man applying a force on a crate, the resultant force the man applies to the crate can be calculated using Newton's second law. If the man applies a force of 5 N to the crate, and the crate pushes back with a force of 2 N, the net force is the difference between these two forces. Hence, resultant force = 5 N - 2 N = 3 N.