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Chapter 3: Q. 36 (page 79)

Kami is walking through the airport with her two-wheeled suitcase. The suitcase handle is tilted 40掳 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?

Short Answer

Expert verified

The horizontal component of the force is 76.8 N and the vertical component of the force is 91.2 N.

Step by step solution

01

Write the given information

The suitcase is tilted vertically at an angle, 胃= 40鈦�
Force applied to drag the suitcase, F= 120N

02

To determine the horizontal and vertical components of the force

The angle of the suitcase from the horizontal (ground), 胃 = 50鈦�
The horizontal component of the force is given as

Fx= F cos胃

= 120 cos (50鈦�)

= 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胃

= 120 sin (50鈦�)

=120 (0.76)

= 91.2N

Thus the vertical component of the force is 91.2N

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