Final answer:
The magnitude of the cart's acceleration is 13.3 m/s².
Step-by-step explanation:
To calculate the magnitude of acceleration, we can use Newton's second law of motion which states that the net force on an object is equal to the mass of the object multiplied by its acceleration. Rearranging this equation, we get:
acceleration = net force / mass
Given that the net external force is 60.0 N and the mass of the cart is 4.50 kg, we can substitute these values into the equation to find the magnitude of the cart's acceleration:
acceleration = 60.0 N / 4.50 kg = 13.3 m/s²
Therefore, the magnitude of the cart's acceleration is 13.3 m/s².