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Q. 36

Expert-verifiedFound in: Page 79

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Kami 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

F_{x }= 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

F_{y }= 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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