Nitai M. answered • 12/08/19

Experienced High School and College Tutor Specializing in STEM

Normal force, F_{N} = µ_{k}*N

In this case, the F_{N} pushes the snowboarder up, perpendicularly to the surface, with the same magnitude as the force pulling him down into the surface. Most of the information in this question is superfluous.

The force pulling the snowboarder down (perpendicular to the surface) is a component of the force from gravity, mg. If we draw the triangles and work out the components, we can see that this value is equal to mg*cos(37). Since the normal force must be equal and opposite to this value, the F_{N }= mg*cos(37).

Plug in m = 65kg and g = 9.8 m/s/s to find the exact answer.