What is the mass of a box pushed both left and right at 50N?

It cannot be determined from the informatin.

The force in the horizontal direction doesn't affect the mass.

You would need to know the force of gravity (in newtons) on the box and the acceleration of gravity which is 9.8m/s^2 on Earth.

To determine the mass of the box when pushed with a force of 50N in both left and right directions, we need to know the acceleration experienced by the box. The relationship between force, mass, and acceleration is given by Newton's second law of motion: F = ma.

If we assume that the box is accelerating uniformly, meaning it has a constant acceleration in both directions of motion, then the net force acting on the box is the difference between the forces pushing it left and right. Since the forces are equal in magnitude (50N) but in opposite directions, the net force is zero.

This means that the acceleration of the box is also zero since a = F/m. Therefore, we cannot determine the mass of the box with the given information because an object at rest or with zero net force applied to it can have any mass.

To calculate the mass, we need additional information about the acceleration or the resultant force acting on the box.