What is the normal force exerted on a suitcase being pulled at an angle?

[Alice_in_Wonderland]

Homework Statement

Dylan is rushing to catch a flight. As he walks in the airport he pulls his suitcase behind him, which is rolling on its wheels. The mass of the suitcase is 20.0kg. Dylan pulls on the handle so that he exerts a force on the handle of 100N, 30° above the horizontal. Determine the normal force exerted by the floor on the suitcase.

Given:
m=20.0kg
FaDS (applied force Dylan on suitcase)= 100N
Degree= 30° above horizontal

Homework Equations

Fg= mg
Total force in the y = 0 in mechanical equilibrium
Fnet=ma

The Attempt at a Solution

Fg= mg= (20.0kg)(-9.81m/s/s)=-196.2N
Total force in the y is 0, therefore, Fn+Fg+Fay=0
This means, Fn-196.2N+ (100N)sin30°=0
Fn= 146.2N upward = +146.2N

 

[gneill]

Yes, that looks correct.

 

[Alice_in_Wonderland]

Thank you!