Answer :
Final answer:
The acceleration of the two objects being pulled across a frictionless surface by a force of 8.00 N, with combined masses of 10.00 kg, is calculated using Newton's second law to be 0.80 m/s².
Explanation:
The question asks to determine the acceleration of two objects with masses m1 = 6.00 kg and m2 = 4.00 kg being pulled across a frictionless surface by a force F = 8.00 N. To find the acceleration, 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 its acceleration (F = ma).
Since both objects are being pulled together, we can treat them as a single system with a combined mass of m1 + m2 = 6.00 kg + 4.00 kg = 10.00 kg. The total force applied is still 8.00 N, so we can calculate the acceleration (a) of the system as follows:
a = F / (m1 + m2)
a = 8.00 N / 10.00 kg = 0.80 m/s²
Therefore, the acceleration of the objects is 0.80 m/s², which corresponds to option c).
