Final answer:
The net force on the box is 14 N, which determines its acceleration. The force required to give the second block the same acceleration cannot be determined without knowing its mass.
Step-by-step explanation:
The acceleration of an object is determined by the net force applied to it. In this case, we have two forces acting on the box: a 6N force and an 8N force, both acting in the same direction. To find the net force, we add the two forces together: 6N + 8N = 14N. Therefore, the net force is 14N.
To find the acceleration, we can use Newton's second law, which states that the net force is equal to the mass of the object multiplied by its acceleration: Fnet = ma. In this case, we have the net force (14N) and the mass of the box (unknown), so we need to solve for the acceleration. Since the question does not provide the mass of the box, we cannot find the exact acceleration.
Therefore, the answer to part (a) is none of the given options. As for part (b), to find the force that will give the second block, with a mass of 6.0 kg, the same acceleration as the system of blocks, we can again use Newton's second law. With the known mass of the second block (6.0 kg) and the net force (14N) from part (a), we solve for the unknown acceleration using the formula Fnet = ma. Once we find the acceleration, we can use it to find the force acting on the second block using the same formula. Therefore, the answer to part (b) is not any of the given options.