Answer:
74 N
Step-by-step explanation:
The problem says that the box is sliding along the horizontal surface: this implies that there is no motion of the object along the vertical direction. According to Newton's law, this means that the resultant of the forces acting along the vertical direction is zero (because the acceleration along this direction is zero):
![N-W = ma = 0](https://img.qammunity.org/2020/formulas/physics/middle-school/un6pbdi2zn7xgb3jdnia6m314hoh25xha6.png)
where
N is the normal force
W is the weight of the box
m is the mass of the box
a is the acceleration of the box along the vertical direction (which is zero)
Since we know the weight of the box, W = 74 N, we can re-arrange the previous equation to find the normal force:
![N-W=0\\N=W=74 N](https://img.qammunity.org/2020/formulas/physics/middle-school/4uuva4wfa19mw37k24m42i43d0fq6jfgi3.png)