How much force is the child pulling with in thedirection the cat will move

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 7STP
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A child decides to take her cat on a walk, but the cat does not cooperate.  The child pulls on the 2.5 kg cat with force of 20 N in a direction that is 30 degrees above horizontal, and the cat resists being pulled forward with a horizontal force of 15 N.  

How much force is the child pulling with in thedirection the cat will move?

Expert Solution
Step 1

For cat to move..... Force applied by child in horizonty direction should be greater than the resistance of cat....

Mass of cat = m = 2.5 kg 

Fr = 15 N

F = 20 N...

With 30° horizontal....

So Fx = 20 cos(30)

Fy = 20 sin(30) 

Also in y direction there are other forces also....

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