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Europe
Q. 36
Expert-verifiedKami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40° from vertical, and Kami pulls parallel to the handle with a force of 120 N. (Force is measured in newtons, abbreviated N.) What are the horizontal and vertical components of her applied force?
The horizontal component of the force is 76.8 N and the vertical component of the force is 91.2 N.
The suitcase is tilted vertically at an angle, θ = 40⁰ Force applied to drag the suitcase, F= 120N
The angle of the suitcase from the horizontal (ground), θ = 50⁰ The horizontal component of the force is given as
Fx = F cos θ
= 120 cos (50⁰)
= 120 (0.64)
= 76.8N
Thus the horizontal component of the force is 76.8N
The vertical component of the force is given as
Fy = F sin θ
= 120 sin (50⁰)
=120 (0.76)
= 91.2N
Thus the vertical component of the force is 91.2N
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