Final answer:
The magnitude of the cart's acceleration is 13.3 m/s².
Step-by-step explanation:
To calculate the magnitude of the cart's acceleration, we can divide the net external force acting on the cart by its mass. In this case, the net external force is 60.0 N and the mass of the cart is 4.50 kg. So the magnitude of the cart's acceleration is 60.0 N / 4.50 kg = 13.3 m/s².