Final answer:
To find the acceleration of the system, use Newton's second law. The tension in the rope pulling the cart is equal to the weight of the hanging mass. The net force on the system is the difference between the tension and the weight of the cart.
Step-by-step explanation:
To find the acceleration of the system, we need to apply Newton's second law. The net force acting on the system is equal to the product of the mass and acceleration of the system. The net force is given by the tension in the rope pulling the cart. The mass of the cart is 1.1 kg and the mass hanging from the pulley is 0.7 kg. The tension in the rope is equal to the weight of the hanging mass:
Tension = mass * acceleration due to gravity = 0.7 kg * 9.8 m/s² = 6.86 N
Since the system is released from rest, the acceleration of the system will be determined by the net force:
Net force = Tension - Weight of the cart = 6.86 N - (1.1 kg * 9.8 m/s²) = -2.51 N
Since the direction of the net force is opposite to the positive direction, the acceleration of the system will also be in the opposite direction. Therefore, the acceleration of the 1.1 kg cart pulled by the rope is -2.51 m/s².