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Q. 36

Expert-verified
Found in: Page 79

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

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.

See the step by step solution

## Step 1: Write the given information

The suitcase is tilted vertically at an angle, θ = 40⁰ Force applied to drag the suitcase, F= 120N

## Step 2: To determine the horizontal and vertical components of the force

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