Final answer:
The acceleration of the system is 2.88 m/s^2, and the tension force on the cord is 58.8 N at Mass 1 and 107.8 N at Mass 2.
Step-by-step explanation:
In order to calculate the acceleration of the system, we can use Newton's second law which states that the net force on an object is equal to the mass of the object times its acceleration. In this case, the net force is given by the difference in the weights of the two masses, and the acceleration is the same for both masses since they are connected by the cord. Let's assume that Mass 1 is hanging and Mass 2 is on the table. The weight of Mass 1 is 6.0 kg x 9.8 m/s^2 = 58.8 N, and the weight of Mass 2 is 11 kg x 9.8 m/s^2 = 107.8 N. Therefore, the net force is 107.8 N - 58.8 N = 49 N. Since the masses are connected by a cord, the acceleration of the system is given by a = F/m, where F is the net force and m is the total mass of the system. The total mass of the system is 6.0 kg + 11 kg = 17 kg. Therefore, the acceleration of the system is 49 N / 17 kg = 2.88 m/s^2.
To calculate the tension force on the cord, we can use the concept of Newton's laws and the fact that the tension is equal in magnitude and opposite in direction at each end of the cord. Let T1 be the tension force at Mass 1 and T2 be the tension force at Mass 2. The weight of Mass 1 is equal to T1, and the weight of Mass 2 is equal to T2. Therefore, T1 = 58.8 N and T2 = 107.8 N.