Final answer:
To find the acceleration of the system, calculate the net force by subtracting the force of friction from the applied force. Use the tension in the cord to determine the force exerted by the 1.0-kg block on the 2.0-kg block.
Step-by-step explanation:
To determine the acceleration of the system, we need to consider the net force acting on the system and use Newton's second law, which states that the net force is equal to the mass of the system multiplied by its acceleration. In this case, the system consists of the 3.0-kg block.
The net force can be calculated by subtracting the force of friction from the applied force. The force of friction can be found by multiplying the coefficient of friction by the normal force exerted on the block.
The tension in the cord connecting the 3.0-kg and 1.0-kg blocks can be found by considering the forces acting on the 1.0-kg block and using Newton's second law.
Since the blocks are connected by a rope, the tension in the rope is the same for both blocks. Finally, the force exerted by the 1.0-kg block on the 2.0-kg block can be found by considering the forces acting on the 2.0-kg block and using Newton's second law.