To calculate the acceleration of the box, 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:
F_net = m * a
In this case, the net force is the force you are applying minus the frictional force opposing your push:
F_net = 50 N - 10 N = 40 N
The mass of the box is given as 75 kg. Substituting these values into the equation, we can solve for the acceleration:
40 N = 75 kg * a
Dividing both sides of the equation by 75 kg:
a = 40 N / 75 kg
a ≈ 0.533 m/s²
Therefore, the acceleration of the box is approximately 0.533 m/s².