Final answer:
The 50kg box would accelerate at 11.8 m/s^2 if a 590N force is applied.
Step-by-step explanation:
To find the acceleration of the 50kg box, we can use Newton's second law of motion which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. In this case, the force applied is 590N, and the mass of the box is 50kg. So, the equation becomes:
F = m * a
590N = 50kg * a
To find the value of 'a', we need to isolate it. Dividing both sides of the equation by 50kg, we get:
a = 590N / 50kg = 11.8 m/s^2
Therefore, the acceleration of the 50kg box is 11.8 m/s^2, which is option (a).