Final answer:
To calculate the acceleration of the piano with two movers pushing it, you need to find the net force acting on it and then use Newton's second law of motion. The net force can be calculated by adding up the forces applied by both movers. The acceleration can then be calculated by dividing the net force by the mass of the piano.
Step-by-step explanation:
To find the acceleration of the piano, you need to calculate the net force acting on it by adding up the forces applied by both movers. In this case, one mover pushes the piano with a force of 77.5 N to the left, while the other mover pushes it with a force of 48.7 N to the left. Since the forces are in the same direction, you can simply add them to find the net force. The net force can be calculated as:
Net Force = Force1 + Force2
Net Force = 77.5 N + 48.7 N
Net Force = 126.2 N
Next, you can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. In this case, the mass of the piano is 225 kg. The acceleration of the piano can be calculated as:
Acceleration = Net Force / Mass
Acceleration = 126.2 N / 225 kg
Acceleration ≈ 0.56 m/s²