Final answer:
The question requires calculating the acceleration of a 5.00 kg object acted upon by two forces at different angles using Newton's second law. Configuration a) involves perpendicular forces, and for configuration b), one must resolve the second force into horizontal and vertical components before calculating acceleration.
Step-by-step explanation:
The student is asking about the acceleration of an object with a mass of 5.00 kg when subjected to two forces of different magnitudes and directions. In physics, to find the acceleration, we would use Newton's second law of motion, which states that force equals mass times acceleration (F=ma).
Configuration a)
For the first configuration, with F1 acting in the positive x direction and F2 acting perpendicular in the positive y direction, we can consider these as orthogonal components since they act at 90 degrees to each other. Because they are perpendicular, we can calculate the net force using the Pythagorean theorem and then find the acceleration by dividing the net force by the mass of the object.
Configuration b)
For the second configuration, with F1 acting in the positive x direction and F2 acting at a 60-degree angle to the horizontal, we need to resolve F2 into its horizontal and vertical components. We can then add these components to F1 to get the net force in each direction. Again, to find the acceleration, we divide the net force by the mass of the object.