Final answer:
The question is asking to calculate the acceleration of a mass given a force applied at an angle on a frictionless incline, employing Newton's Second Law and the resolution of forces.
Step-by-step explanation:
The question seems to relate to Newton's Second Law of Motion and the calculation of the resulting acceleration of an object given a certain force applied at an angle to the direction of motion. The context is a physics problem involving forces, mass, and acceleration. When a force is applied to a block on an incline (like the example provided where a force of 65.0 N is applied to move a 5.00 kg block up a 30° incline), the first step would be to resolve the force into its components parallel and perpendicular to the incline. Then, use Newton's Second Law (F=ma) to solve for the acceleration.
In the other examples given, including forces on a horizontal plane and forces including friction, similar principles apply. By resolving forces into components, summing forces to find the net force, and using Newton's Second Law, the acceleration of an object can be determined. These problems typically do not include air resistance and assume a frictionless surface unless otherwise noted.