A 20kg suitcase on a flat surface is pushed by a force of 100N downwards at an angle of 60 degrees with the horizontal. The suitcase moves along the floor. What is
the normal force from the floor to the suitcase?

282.6 N

Explanation:

Draw a free body diagram of the suitcase.  There are three forces:

Weight force mg pulling down,

Normal force N pushing up,

and 100 N down at angle 60° with the horizontal.

Sum of forces in the y direction:

∑F = ma

N − mg − 100 sin 60° = 0

N = mg + 100 sin 60°

N = (20 kg) (9.8 m/s²) + 100 sin 60°

N = 282.6 N

Round as needed.

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