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

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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