Both Bob and Mary exert forces on a box. Bob exerts a force of 17.0 N, 23.0° south of east, and Mary exerts a force of 23.0 N. 36.0° west of south. No other forces act on the box. Calculate the net force acting on the box, expressing the direction relative to east or west.

Both Bob and Mary exert forces on a box. Bob exerts a force of 17.0 N, 23.0° south of east, and Mary exerts a force of 23.0 N. 36.0° west of south. No other forces act on the box. Calculate the net force acting on the box, expressing the direction relative to east or west.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 23P: While sliding a couch across a floor, Andrea and Jennifer exert forces FA and FJ on the couch....

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Question

Express answer in Newton and degrees

Both Bob and Mary exert forces on a box. Bob exerts a force of 17.0 N, 23.0° south of east, and
Mary exerts a force of 23.0 N. 36.0° west of south. No other forces act on the box. Calculate the
net force acting on the box, expressing the direction relative to east or west.

Expert Solution

Step 1

Let the force 17 N be F₁ and the force of 23 N be F₂. Resolve the forces in x and y direction as shown.

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