Final answer:
Using Newton's second law (F = ma), the magnitude of the force is calculated to be approximately 9.36 N, with 9 N being the closest given answer choice.
Step-by-step explanation:
The question asks to find the magnitude of the force on a block with mass 2.6 kg that is accelerating at 3.6 m/s2. To find the magnitude of the force, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by the acceleration of the object (F = ma). If the force makes an angle with the horizontal, we would typically consider components; however, since the required answer choices are direct magnitudes and because the context of the angle's relevance is missing (e.g., inclined plane or horizontal pushing force), we proceed with a direct application of the formula. Inserting the given values:
F = 2.6 kg × 3.6 m/s2 = 9.36 N
After calculating, we find that the magnitude of the force is approximately 9.36 N, which is not an exact match with the provided answer choices. Given the choices, the closest would be 9 N, assuming rounding for an estimate.