Answer:

To determine the mass of the cart, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

The formula for Newton's second law is:

F = m * a

Where:

F is the net force (1200 N in this case)

m is the mass of the cart (what we're trying to find)

a is the acceleration (26 m/s² in this case)

Let's rearrange the formula to solve for mass (m):

m = F / a

Now, we can plug in the values:

m = 1200 N / 26 m/s²

m ≈ 46.15 kg (rounded to two decimal places)

Therefore, the mass of the cart, given a constant net force of 1200 N and an acceleration of 26 m/s², is approximately 46.15 kg.