Write out newton's second law for the direction that is perpendicular to the ramp

the right triangles long side has a box sliding down with a mass of 5 kg and its a 20 degree ramp

, R = 46.0 N

Explanation:

For an object on a ramp, there are two forces acting along the direction perpendicular to the ramp:

- The normal reaction of the surface, N, out of the ramp

- The component of the weight perpendicular to the ramp, in the opposite direction, of magnitude

where

m is the mass of the block

is the acceleration of gravity

is the angle of the ramp

The box is in equilibrium along this direction, so the equation of the forces in this direction is

In this problem,

m = 5 kg

So we can find the normal reaction: